From 61d86567da14cdc6afa3a8a0fec40b7e0edda2eb Mon Sep 17 00:00:00 2001 From: Jake Bailey <5341706+jakebailey@users.noreply.github.com> Date: Mon, 2 Nov 2026 17:12:16 -0800 Subject: [PATCH 01/13] Don't crash reporting a too large tuple outside of checking A spread that produces a tuple too large to represent reports the error at the node being checked. When the type is first requested through the API, before checking has begun, there is no such node and reporting the error crashed instead. (seen in excessivelyLargeTupleSpread) --- tsc/internal/checker/checker.go | 2 +- ...TupleSpread(checkorder=default).errors.txt | 51 +++++ ...elyLargeTupleSpread(checkorder=default).js | 61 ++++++ ...rgeTupleSpread(checkorder=default).symbols | 184 +++++++++++++++++ ...LargeTupleSpread(checkorder=default).types | 190 ++++++++++++++++++ ...leSpread(checkorder=typesfirst).errors.txt | 47 +++++ ...LargeTupleSpread(checkorder=typesfirst).js | 61 ++++++ ...TupleSpread(checkorder=typesfirst).symbols | 184 +++++++++++++++++ ...geTupleSpread(checkorder=typesfirst).types | 190 ++++++++++++++++++ .../compiler/excessivelyLargeTupleSpread.ts | 1 + 10 files changed, 970 insertions(+), 1 deletion(-) create mode 100644 tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=default).errors.txt create mode 100644 tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=default).js create mode 100644 tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=default).symbols create mode 100644 tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=default).types create mode 100644 tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=typesfirst).errors.txt create mode 100644 tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=typesfirst).js create mode 100644 tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=typesfirst).symbols create mode 100644 tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=typesfirst).types diff --git a/tsc/internal/checker/checker.go b/tsc/internal/checker/checker.go index 950b9a8e30fb8..fe1107e599885 100644 --- a/tsc/internal/checker/checker.go +++ b/tsc/internal/checker/checker.go @@ -24114,7 +24114,7 @@ func (n *TupleNormalizer) normalize(c *Checker, elementTypes []*Type, elementInf } else if isTupleType(t) { spreadTypes := c.getElementTypes(t) if len(spreadTypes)+len(n.types) >= 10_000 { - message := core.IfElse(ast.IsPartOfTypeNode(c.currentNode), + message := core.IfElse(c.currentNode != nil && ast.IsPartOfTypeNode(c.currentNode), diagnostics.Type_produces_a_tuple_type_that_is_too_large_to_represent, diagnostics.Expression_produces_a_tuple_type_that_is_too_large_to_represent) c.error(c.currentNode, message) diff --git a/tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=default).errors.txt b/tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=default).errors.txt new file mode 100644 index 0000000000000..6ec6fc6629d8a --- /dev/null +++ b/tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=default).errors.txt @@ -0,0 +1,51 @@ +excessivelyLargeTupleSpread.ts(6,10): error TS2799: Type produces a tuple type that is too large to represent. +excessivelyLargeTupleSpread.ts(22,12): error TS2799: Type produces a tuple type that is too large to represent. +excessivelyLargeTupleSpread.ts(38,13): error TS2800: Expression produces a tuple type that is too large to represent. + + +==== excessivelyLargeTupleSpread.ts (3 errors) ==== + // #41771 + + type BuildTuple = + T['length'] extends L ? T : BuildTuple; + + type A = BuildTuple<3> + ~~~~~~~~~~~~~ +!!! error TS2799: Type produces a tuple type that is too large to represent. + + type T0 = [any]; + type T1 = [...T0, ...T0]; + type T2 = [...T1, ...T1]; + type T3 = [...T2, ...T2]; + type T4 = [...T3, ...T3]; + type T5 = [...T4, ...T4]; + type T6 = [...T5, ...T5]; + type T7 = [...T6, ...T6]; + type T8 = [...T7, ...T7]; + type T9 = [...T8, ...T8]; + type T10 = [...T9, ...T9]; + type T11 = [...T10, ...T10]; + type T12 = [...T11, ...T11]; + type T13 = [...T12, ...T12]; + type T14 = [...T13, ...T13]; // 2^14 > 10,000 + ~~~~~~~~~~~~~~~~ +!!! error TS2799: Type produces a tuple type that is too large to represent. + + const a0 = [0] as const; + const a1 = [...a0, ...a0] as const; + const a2 = [...a1, ...a1] as const; + const a3 = [...a2, ...a2] as const; + const a4 = [...a3, ...a3] as const; + const a5 = [...a4, ...a4] as const; + const a6 = [...a5, ...a5] as const; + const a7 = [...a6, ...a6] as const; + const a8 = [...a7, ...a7] as const; + const a9 = [...a8, ...a8] as const; + const a10 = [...a9, ...a9] as const; + const a11 = [...a10, ...a10] as const; + const a12 = [...a11, ...a11] as const; + const a13 = [...a12, ...a12] as const; + const a14 = [...a13, ...a13] as const; // 2^14 > 10,000 + ~~~~~~~~~~~~~~~~ +!!! error TS2800: Expression produces a tuple type that is too large to represent. + \ No newline at end of file diff --git a/tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=default).js b/tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=default).js new file mode 100644 index 0000000000000..bbb96dcc93129 --- /dev/null +++ b/tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=default).js @@ -0,0 +1,61 @@ +//// [tests/cases/compiler/excessivelyLargeTupleSpread.ts] //// + +//// [excessivelyLargeTupleSpread.ts] +// #41771 + +type BuildTuple = + T['length'] extends L ? T : BuildTuple; + +type A = BuildTuple<3> + +type T0 = [any]; +type T1 = [...T0, ...T0]; +type T2 = [...T1, ...T1]; +type T3 = [...T2, ...T2]; +type T4 = [...T3, ...T3]; +type T5 = [...T4, ...T4]; +type T6 = [...T5, ...T5]; +type T7 = [...T6, ...T6]; +type T8 = [...T7, ...T7]; +type T9 = [...T8, ...T8]; +type T10 = [...T9, ...T9]; +type T11 = [...T10, ...T10]; +type T12 = [...T11, ...T11]; +type T13 = [...T12, ...T12]; +type T14 = [...T13, ...T13]; // 2^14 > 10,000 + +const a0 = [0] as const; +const a1 = [...a0, ...a0] as const; +const a2 = [...a1, ...a1] as const; +const a3 = [...a2, ...a2] as const; +const a4 = [...a3, ...a3] as const; +const a5 = [...a4, ...a4] as const; +const a6 = [...a5, ...a5] as const; +const a7 = [...a6, ...a6] as const; +const a8 = [...a7, ...a7] as const; +const a9 = [...a8, ...a8] as const; +const a10 = [...a9, ...a9] as const; +const a11 = [...a10, ...a10] as const; +const a12 = [...a11, ...a11] as const; +const a13 = [...a12, ...a12] as const; +const a14 = [...a13, ...a13] as const; // 2^14 > 10,000 + + +//// [excessivelyLargeTupleSpread.js] +"use strict"; +// #41771 +const a0 = [0]; +const a1 = [...a0, ...a0]; +const a2 = [...a1, ...a1]; +const a3 = [...a2, ...a2]; +const a4 = [...a3, ...a3]; +const a5 = [...a4, ...a4]; +const a6 = [...a5, ...a5]; +const a7 = [...a6, ...a6]; +const a8 = [...a7, ...a7]; +const a9 = [...a8, ...a8]; +const a10 = [...a9, ...a9]; +const a11 = [...a10, ...a10]; +const a12 = [...a11, ...a11]; +const a13 = [...a12, ...a12]; +const a14 = [...a13, ...a13]; // 2^14 > 10,000 diff --git a/tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=default).symbols b/tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=default).symbols new file mode 100644 index 0000000000000..629d43f9085cf --- /dev/null +++ b/tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=default).symbols @@ -0,0 +1,184 @@ +//// [tests/cases/compiler/excessivelyLargeTupleSpread.ts] //// + +=== excessivelyLargeTupleSpread.ts === +// #41771 + +type BuildTuple = +>BuildTuple : Symbol(BuildTuple, Decl(excessivelyLargeTupleSpread.ts, 0, 0)) +>L : Symbol(L, Decl(excessivelyLargeTupleSpread.ts, 2, 16)) +>T : Symbol(T, Decl(excessivelyLargeTupleSpread.ts, 2, 33)) + + T['length'] extends L ? T : BuildTuple; +>T : Symbol(T, Decl(excessivelyLargeTupleSpread.ts, 2, 33)) +>L : Symbol(L, Decl(excessivelyLargeTupleSpread.ts, 2, 16)) +>T : Symbol(T, Decl(excessivelyLargeTupleSpread.ts, 2, 33)) +>BuildTuple : Symbol(BuildTuple, Decl(excessivelyLargeTupleSpread.ts, 0, 0)) +>L : Symbol(L, Decl(excessivelyLargeTupleSpread.ts, 2, 16)) +>T : Symbol(T, Decl(excessivelyLargeTupleSpread.ts, 2, 33)) +>T : Symbol(T, Decl(excessivelyLargeTupleSpread.ts, 2, 33)) + +type A = BuildTuple<3> +>A : Symbol(A, Decl(excessivelyLargeTupleSpread.ts, 3, 60)) +>BuildTuple : Symbol(BuildTuple, Decl(excessivelyLargeTupleSpread.ts, 0, 0)) + +type T0 = [any]; +>T0 : Symbol(T0, Decl(excessivelyLargeTupleSpread.ts, 5, 22)) + +type T1 = [...T0, ...T0]; +>T1 : Symbol(T1, Decl(excessivelyLargeTupleSpread.ts, 7, 16)) +>T0 : Symbol(T0, Decl(excessivelyLargeTupleSpread.ts, 5, 22)) +>T0 : Symbol(T0, Decl(excessivelyLargeTupleSpread.ts, 5, 22)) + +type T2 = [...T1, ...T1]; +>T2 : Symbol(T2, Decl(excessivelyLargeTupleSpread.ts, 8, 25)) +>T1 : Symbol(T1, Decl(excessivelyLargeTupleSpread.ts, 7, 16)) +>T1 : Symbol(T1, Decl(excessivelyLargeTupleSpread.ts, 7, 16)) + +type T3 = [...T2, ...T2]; +>T3 : Symbol(T3, Decl(excessivelyLargeTupleSpread.ts, 9, 25)) +>T2 : Symbol(T2, Decl(excessivelyLargeTupleSpread.ts, 8, 25)) +>T2 : Symbol(T2, Decl(excessivelyLargeTupleSpread.ts, 8, 25)) + +type T4 = [...T3, ...T3]; +>T4 : Symbol(T4, Decl(excessivelyLargeTupleSpread.ts, 10, 25)) +>T3 : Symbol(T3, Decl(excessivelyLargeTupleSpread.ts, 9, 25)) +>T3 : Symbol(T3, Decl(excessivelyLargeTupleSpread.ts, 9, 25)) + +type T5 = [...T4, ...T4]; +>T5 : Symbol(T5, Decl(excessivelyLargeTupleSpread.ts, 11, 25)) +>T4 : Symbol(T4, Decl(excessivelyLargeTupleSpread.ts, 10, 25)) +>T4 : Symbol(T4, Decl(excessivelyLargeTupleSpread.ts, 10, 25)) + +type T6 = [...T5, ...T5]; +>T6 : Symbol(T6, Decl(excessivelyLargeTupleSpread.ts, 12, 25)) +>T5 : Symbol(T5, Decl(excessivelyLargeTupleSpread.ts, 11, 25)) +>T5 : Symbol(T5, Decl(excessivelyLargeTupleSpread.ts, 11, 25)) + +type T7 = [...T6, ...T6]; +>T7 : Symbol(T7, Decl(excessivelyLargeTupleSpread.ts, 13, 25)) +>T6 : Symbol(T6, Decl(excessivelyLargeTupleSpread.ts, 12, 25)) +>T6 : Symbol(T6, Decl(excessivelyLargeTupleSpread.ts, 12, 25)) + +type T8 = [...T7, ...T7]; +>T8 : Symbol(T8, Decl(excessivelyLargeTupleSpread.ts, 14, 25)) +>T7 : Symbol(T7, Decl(excessivelyLargeTupleSpread.ts, 13, 25)) +>T7 : Symbol(T7, Decl(excessivelyLargeTupleSpread.ts, 13, 25)) + +type T9 = [...T8, ...T8]; +>T9 : Symbol(T9, Decl(excessivelyLargeTupleSpread.ts, 15, 25)) +>T8 : Symbol(T8, Decl(excessivelyLargeTupleSpread.ts, 14, 25)) +>T8 : Symbol(T8, Decl(excessivelyLargeTupleSpread.ts, 14, 25)) + +type T10 = [...T9, ...T9]; +>T10 : Symbol(T10, Decl(excessivelyLargeTupleSpread.ts, 16, 25)) +>T9 : Symbol(T9, Decl(excessivelyLargeTupleSpread.ts, 15, 25)) +>T9 : Symbol(T9, Decl(excessivelyLargeTupleSpread.ts, 15, 25)) + +type T11 = [...T10, ...T10]; +>T11 : Symbol(T11, Decl(excessivelyLargeTupleSpread.ts, 17, 26)) +>T10 : Symbol(T10, Decl(excessivelyLargeTupleSpread.ts, 16, 25)) +>T10 : Symbol(T10, Decl(excessivelyLargeTupleSpread.ts, 16, 25)) + +type T12 = [...T11, ...T11]; +>T12 : Symbol(T12, Decl(excessivelyLargeTupleSpread.ts, 18, 28)) +>T11 : Symbol(T11, Decl(excessivelyLargeTupleSpread.ts, 17, 26)) +>T11 : Symbol(T11, Decl(excessivelyLargeTupleSpread.ts, 17, 26)) + +type T13 = [...T12, ...T12]; +>T13 : Symbol(T13, Decl(excessivelyLargeTupleSpread.ts, 19, 28)) +>T12 : Symbol(T12, Decl(excessivelyLargeTupleSpread.ts, 18, 28)) +>T12 : Symbol(T12, Decl(excessivelyLargeTupleSpread.ts, 18, 28)) + +type T14 = [...T13, ...T13]; // 2^14 > 10,000 +>T14 : Symbol(T14, Decl(excessivelyLargeTupleSpread.ts, 20, 28)) +>T13 : Symbol(T13, Decl(excessivelyLargeTupleSpread.ts, 19, 28)) +>T13 : Symbol(T13, Decl(excessivelyLargeTupleSpread.ts, 19, 28)) + +const a0 = [0] as const; +>a0 : Symbol(a0, Decl(excessivelyLargeTupleSpread.ts, 23, 5)) +>const : Symbol(const) + +const a1 = [...a0, ...a0] as const; +>a1 : Symbol(a1, Decl(excessivelyLargeTupleSpread.ts, 24, 5)) +>a0 : Symbol(a0, Decl(excessivelyLargeTupleSpread.ts, 23, 5)) +>a0 : Symbol(a0, Decl(excessivelyLargeTupleSpread.ts, 23, 5)) +>const : Symbol(const) + +const a2 = [...a1, ...a1] as const; +>a2 : Symbol(a2, Decl(excessivelyLargeTupleSpread.ts, 25, 5)) +>a1 : Symbol(a1, Decl(excessivelyLargeTupleSpread.ts, 24, 5)) +>a1 : Symbol(a1, Decl(excessivelyLargeTupleSpread.ts, 24, 5)) +>const : Symbol(const) + +const a3 = [...a2, ...a2] as const; +>a3 : Symbol(a3, Decl(excessivelyLargeTupleSpread.ts, 26, 5)) +>a2 : Symbol(a2, Decl(excessivelyLargeTupleSpread.ts, 25, 5)) +>a2 : Symbol(a2, Decl(excessivelyLargeTupleSpread.ts, 25, 5)) +>const : Symbol(const) + +const a4 = [...a3, ...a3] as const; +>a4 : Symbol(a4, Decl(excessivelyLargeTupleSpread.ts, 27, 5)) +>a3 : Symbol(a3, Decl(excessivelyLargeTupleSpread.ts, 26, 5)) +>a3 : Symbol(a3, Decl(excessivelyLargeTupleSpread.ts, 26, 5)) +>const : Symbol(const) + +const a5 = [...a4, ...a4] as const; +>a5 : Symbol(a5, Decl(excessivelyLargeTupleSpread.ts, 28, 5)) +>a4 : Symbol(a4, Decl(excessivelyLargeTupleSpread.ts, 27, 5)) +>a4 : Symbol(a4, Decl(excessivelyLargeTupleSpread.ts, 27, 5)) +>const : Symbol(const) + +const a6 = [...a5, ...a5] as const; +>a6 : Symbol(a6, Decl(excessivelyLargeTupleSpread.ts, 29, 5)) +>a5 : Symbol(a5, Decl(excessivelyLargeTupleSpread.ts, 28, 5)) +>a5 : Symbol(a5, Decl(excessivelyLargeTupleSpread.ts, 28, 5)) +>const : Symbol(const) + +const a7 = [...a6, ...a6] as const; +>a7 : Symbol(a7, Decl(excessivelyLargeTupleSpread.ts, 30, 5)) +>a6 : Symbol(a6, Decl(excessivelyLargeTupleSpread.ts, 29, 5)) +>a6 : Symbol(a6, Decl(excessivelyLargeTupleSpread.ts, 29, 5)) +>const : Symbol(const) + +const a8 = [...a7, ...a7] as const; +>a8 : Symbol(a8, Decl(excessivelyLargeTupleSpread.ts, 31, 5)) +>a7 : Symbol(a7, Decl(excessivelyLargeTupleSpread.ts, 30, 5)) +>a7 : Symbol(a7, Decl(excessivelyLargeTupleSpread.ts, 30, 5)) +>const : Symbol(const) + +const a9 = [...a8, ...a8] as const; +>a9 : Symbol(a9, Decl(excessivelyLargeTupleSpread.ts, 32, 5)) +>a8 : Symbol(a8, Decl(excessivelyLargeTupleSpread.ts, 31, 5)) +>a8 : Symbol(a8, Decl(excessivelyLargeTupleSpread.ts, 31, 5)) +>const : Symbol(const) + +const a10 = [...a9, ...a9] as const; +>a10 : Symbol(a10, Decl(excessivelyLargeTupleSpread.ts, 33, 5)) +>a9 : Symbol(a9, Decl(excessivelyLargeTupleSpread.ts, 32, 5)) +>a9 : Symbol(a9, Decl(excessivelyLargeTupleSpread.ts, 32, 5)) +>const : Symbol(const) + +const a11 = [...a10, ...a10] as const; +>a11 : Symbol(a11, Decl(excessivelyLargeTupleSpread.ts, 34, 5)) +>a10 : Symbol(a10, Decl(excessivelyLargeTupleSpread.ts, 33, 5)) +>a10 : Symbol(a10, Decl(excessivelyLargeTupleSpread.ts, 33, 5)) +>const : Symbol(const) + +const a12 = [...a11, ...a11] as const; +>a12 : Symbol(a12, Decl(excessivelyLargeTupleSpread.ts, 35, 5)) +>a11 : Symbol(a11, Decl(excessivelyLargeTupleSpread.ts, 34, 5)) +>a11 : Symbol(a11, Decl(excessivelyLargeTupleSpread.ts, 34, 5)) +>const : Symbol(const) + +const a13 = [...a12, ...a12] as const; +>a13 : Symbol(a13, Decl(excessivelyLargeTupleSpread.ts, 36, 5)) +>a12 : Symbol(a12, Decl(excessivelyLargeTupleSpread.ts, 35, 5)) +>a12 : Symbol(a12, Decl(excessivelyLargeTupleSpread.ts, 35, 5)) +>const : Symbol(const) + +const a14 = [...a13, ...a13] as const; // 2^14 > 10,000 +>a14 : Symbol(a14, Decl(excessivelyLargeTupleSpread.ts, 37, 5)) +>a13 : Symbol(a13, Decl(excessivelyLargeTupleSpread.ts, 36, 5)) +>a13 : Symbol(a13, Decl(excessivelyLargeTupleSpread.ts, 36, 5)) +>const : Symbol(const) + diff --git a/tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=default).types b/tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=default).types new file mode 100644 index 0000000000000..beb6075368e3f --- /dev/null +++ b/tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=default).types @@ -0,0 +1,190 @@ +//// [tests/cases/compiler/excessivelyLargeTupleSpread.ts] //// + +=== excessivelyLargeTupleSpread.ts === +// #41771 + +type BuildTuple = +>BuildTuple : BuildTuple + + T['length'] extends L ? T : BuildTuple; + +type A = BuildTuple<3> +>A : any + +type T0 = [any]; +>T0 : T0 + +type T1 = [...T0, ...T0]; +>T1 : [any, any] + +type T2 = [...T1, ...T1]; +>T2 : [any, any, any, any] + +type T3 = [...T2, ...T2]; +>T3 : [any, any, any, any, any, any, any, any] + +type T4 = [...T3, ...T3]; +>T4 : [any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any] + +type T5 = [...T4, ...T4]; +>T5 : [any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any] + +type T6 = [...T5, ...T5]; +>T6 : [any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any] + +type T7 = [...T6, ...T6]; +>T7 : [any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any] + +type T8 = [...T7, ...T7]; +>T8 : [any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any] + +type T9 = [...T8, ...T8]; +>T9 : [any, any, any, any, any, any, 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any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any] + +type T14 = [...T13, ...T13]; // 2^14 > 10,000 +>T14 : any + +const a0 = [0] as const; +>a0 : readonly [0] +>[0] as const : readonly [0] +>[0] : readonly [0] +>0 : 0 + +const a1 = [...a0, ...a0] as const; +>a1 : readonly [0, 0] +>[...a0, ...a0] as const : readonly [0, 0] +>[...a0, ...a0] : readonly [0, 0] +>...a0 : 0 +>a0 : readonly [0] +>...a0 : 0 +>a0 : readonly [0] + +const a2 = [...a1, ...a1] as const; +>a2 : readonly [0, 0, 0, 0] +>[...a1, ...a1] as const : readonly [0, 0, 0, 0] +>[...a1, ...a1] : readonly [0, 0, 0, 0] +>...a1 : 0 +>a1 : readonly [0, 0] +>...a1 : 0 +>a1 : readonly [0, 0] + +const a3 = [...a2, ...a2] as const; +>a3 : readonly [0, 0, 0, 0, 0, 0, 0, 0] +>[...a2, ...a2] as const : readonly [0, 0, 0, 0, 0, 0, 0, 0] +>[...a2, ...a2] : readonly [0, 0, 0, 0, 0, 0, 0, 0] +>...a2 : 0 +>a2 : readonly [0, 0, 0, 0] +>...a2 : 0 +>a2 : readonly [0, 0, 0, 0] + +const a4 = [...a3, ...a3] as const; +>a4 : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>[...a3, ...a3] as const : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>[...a3, ...a3] : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>...a3 : 0 +>a3 : readonly [0, 0, 0, 0, 0, 0, 0, 0] +>...a3 : 0 +>a3 : readonly [0, 0, 0, 0, 0, 0, 0, 0] + +const a5 = [...a4, ...a4] as const; +>a5 : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>[...a4, ...a4] as const : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>[...a4, ...a4] : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>...a4 : 0 +>a4 : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>...a4 : 0 +>a4 : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] + +const a6 = [...a5, ...a5] as const; +>a6 : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>[...a5, ...a5] as const : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>[...a5, ...a5] : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>...a5 : 0 +>a5 : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>...a5 : 0 +>a5 : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] + +const a7 = [...a6, ...a6] as const; +>a7 : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>[...a6, ...a6] as const : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>[...a6, ...a6] : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>...a6 : 0 +>a6 : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>...a6 : 0 +>a6 : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] + +const a8 = [...a7, ...a7] as const; +>a8 : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>[...a7, ...a7] as const : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] + diff --git a/tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=typesfirst).errors.txt b/tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=typesfirst).errors.txt new file mode 100644 index 0000000000000..5bb90d57b8a95 --- /dev/null +++ b/tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=typesfirst).errors.txt @@ -0,0 +1,47 @@ +error TS2800: Expression produces a tuple type that is too large to represent. +excessivelyLargeTupleSpread.ts(38,13): error TS2800: Expression produces a tuple type that is too large to represent. + + +!!! error TS2800: Expression produces a tuple type that is too large to represent. +==== excessivelyLargeTupleSpread.ts (1 errors) ==== + // #41771 + + type BuildTuple = + T['length'] extends L ? T : BuildTuple; + + type A = BuildTuple<3> + + type T0 = [any]; + type T1 = [...T0, ...T0]; + type T2 = [...T1, ...T1]; + type T3 = [...T2, ...T2]; + type T4 = [...T3, ...T3]; + type T5 = [...T4, ...T4]; + type T6 = [...T5, ...T5]; + type T7 = [...T6, ...T6]; + type T8 = [...T7, ...T7]; + type T9 = [...T8, ...T8]; + type T10 = [...T9, ...T9]; + type T11 = [...T10, ...T10]; + type T12 = [...T11, ...T11]; + type T13 = [...T12, ...T12]; + type T14 = [...T13, ...T13]; // 2^14 > 10,000 + + const a0 = [0] as const; + const a1 = [...a0, ...a0] as const; + const a2 = [...a1, ...a1] as const; + const a3 = [...a2, ...a2] as const; + const a4 = [...a3, ...a3] as const; + const a5 = [...a4, ...a4] as const; + const a6 = [...a5, ...a5] as const; + const a7 = [...a6, ...a6] as const; + const a8 = [...a7, ...a7] as const; + const a9 = [...a8, ...a8] as const; + const a10 = [...a9, ...a9] as const; + const a11 = [...a10, ...a10] as const; + const a12 = [...a11, ...a11] as const; + const a13 = [...a12, ...a12] as const; + const a14 = [...a13, ...a13] as const; // 2^14 > 10,000 + ~~~~~~~~~~~~~~~~ +!!! error TS2800: Expression produces a tuple type that is too large to represent. + \ No newline at end of file diff --git a/tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=typesfirst).js b/tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=typesfirst).js new file mode 100644 index 0000000000000..bbb96dcc93129 --- /dev/null +++ b/tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=typesfirst).js @@ -0,0 +1,61 @@ +//// [tests/cases/compiler/excessivelyLargeTupleSpread.ts] //// + +//// [excessivelyLargeTupleSpread.ts] +// #41771 + +type BuildTuple = + T['length'] extends L ? T : BuildTuple; + +type A = BuildTuple<3> + +type T0 = [any]; +type T1 = [...T0, ...T0]; +type T2 = [...T1, ...T1]; +type T3 = [...T2, ...T2]; +type T4 = [...T3, ...T3]; +type T5 = [...T4, ...T4]; +type T6 = [...T5, ...T5]; +type T7 = [...T6, ...T6]; +type T8 = [...T7, ...T7]; +type T9 = [...T8, ...T8]; +type T10 = [...T9, ...T9]; +type T11 = [...T10, ...T10]; +type T12 = [...T11, ...T11]; +type T13 = [...T12, ...T12]; +type T14 = [...T13, ...T13]; // 2^14 > 10,000 + +const a0 = [0] as const; +const a1 = [...a0, ...a0] as const; +const a2 = [...a1, ...a1] as const; +const a3 = [...a2, ...a2] as const; +const a4 = [...a3, ...a3] as const; +const a5 = [...a4, ...a4] as const; +const a6 = [...a5, ...a5] as const; +const a7 = [...a6, ...a6] as const; +const a8 = [...a7, ...a7] as const; +const a9 = [...a8, ...a8] as const; +const a10 = [...a9, ...a9] as const; +const a11 = [...a10, ...a10] as const; +const a12 = [...a11, ...a11] as const; +const a13 = [...a12, ...a12] as const; +const a14 = [...a13, ...a13] as const; // 2^14 > 10,000 + + +//// [excessivelyLargeTupleSpread.js] +"use strict"; +// #41771 +const a0 = [0]; +const a1 = [...a0, ...a0]; +const a2 = [...a1, ...a1]; +const a3 = [...a2, ...a2]; +const a4 = [...a3, ...a3]; +const a5 = [...a4, ...a4]; +const a6 = [...a5, ...a5]; +const a7 = [...a6, ...a6]; +const a8 = [...a7, ...a7]; +const a9 = [...a8, ...a8]; +const a10 = [...a9, ...a9]; +const a11 = [...a10, ...a10]; +const a12 = [...a11, ...a11]; +const a13 = [...a12, ...a12]; +const a14 = [...a13, ...a13]; // 2^14 > 10,000 diff --git a/tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=typesfirst).symbols b/tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=typesfirst).symbols new file mode 100644 index 0000000000000..629d43f9085cf --- /dev/null +++ b/tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=typesfirst).symbols @@ -0,0 +1,184 @@ +//// [tests/cases/compiler/excessivelyLargeTupleSpread.ts] //// + +=== excessivelyLargeTupleSpread.ts === +// #41771 + +type BuildTuple = +>BuildTuple : Symbol(BuildTuple, Decl(excessivelyLargeTupleSpread.ts, 0, 0)) +>L : Symbol(L, Decl(excessivelyLargeTupleSpread.ts, 2, 16)) +>T : Symbol(T, Decl(excessivelyLargeTupleSpread.ts, 2, 33)) + + T['length'] extends L ? T : BuildTuple; +>T : Symbol(T, Decl(excessivelyLargeTupleSpread.ts, 2, 33)) +>L : Symbol(L, Decl(excessivelyLargeTupleSpread.ts, 2, 16)) +>T : Symbol(T, Decl(excessivelyLargeTupleSpread.ts, 2, 33)) +>BuildTuple : Symbol(BuildTuple, Decl(excessivelyLargeTupleSpread.ts, 0, 0)) +>L : Symbol(L, Decl(excessivelyLargeTupleSpread.ts, 2, 16)) +>T : Symbol(T, Decl(excessivelyLargeTupleSpread.ts, 2, 33)) +>T : Symbol(T, Decl(excessivelyLargeTupleSpread.ts, 2, 33)) + +type A = BuildTuple<3> +>A : Symbol(A, Decl(excessivelyLargeTupleSpread.ts, 3, 60)) +>BuildTuple : Symbol(BuildTuple, Decl(excessivelyLargeTupleSpread.ts, 0, 0)) + +type T0 = [any]; +>T0 : Symbol(T0, Decl(excessivelyLargeTupleSpread.ts, 5, 22)) + +type T1 = [...T0, ...T0]; +>T1 : Symbol(T1, Decl(excessivelyLargeTupleSpread.ts, 7, 16)) +>T0 : Symbol(T0, Decl(excessivelyLargeTupleSpread.ts, 5, 22)) +>T0 : Symbol(T0, Decl(excessivelyLargeTupleSpread.ts, 5, 22)) + +type T2 = [...T1, ...T1]; +>T2 : Symbol(T2, Decl(excessivelyLargeTupleSpread.ts, 8, 25)) +>T1 : Symbol(T1, Decl(excessivelyLargeTupleSpread.ts, 7, 16)) +>T1 : Symbol(T1, Decl(excessivelyLargeTupleSpread.ts, 7, 16)) + +type T3 = [...T2, ...T2]; +>T3 : Symbol(T3, Decl(excessivelyLargeTupleSpread.ts, 9, 25)) +>T2 : Symbol(T2, Decl(excessivelyLargeTupleSpread.ts, 8, 25)) +>T2 : Symbol(T2, Decl(excessivelyLargeTupleSpread.ts, 8, 25)) + +type T4 = [...T3, ...T3]; +>T4 : Symbol(T4, Decl(excessivelyLargeTupleSpread.ts, 10, 25)) +>T3 : Symbol(T3, Decl(excessivelyLargeTupleSpread.ts, 9, 25)) +>T3 : Symbol(T3, Decl(excessivelyLargeTupleSpread.ts, 9, 25)) + +type T5 = [...T4, ...T4]; +>T5 : Symbol(T5, Decl(excessivelyLargeTupleSpread.ts, 11, 25)) +>T4 : Symbol(T4, Decl(excessivelyLargeTupleSpread.ts, 10, 25)) +>T4 : Symbol(T4, Decl(excessivelyLargeTupleSpread.ts, 10, 25)) + +type T6 = [...T5, ...T5]; +>T6 : Symbol(T6, Decl(excessivelyLargeTupleSpread.ts, 12, 25)) +>T5 : Symbol(T5, Decl(excessivelyLargeTupleSpread.ts, 11, 25)) +>T5 : Symbol(T5, Decl(excessivelyLargeTupleSpread.ts, 11, 25)) + +type T7 = [...T6, ...T6]; +>T7 : Symbol(T7, Decl(excessivelyLargeTupleSpread.ts, 13, 25)) +>T6 : Symbol(T6, Decl(excessivelyLargeTupleSpread.ts, 12, 25)) +>T6 : Symbol(T6, Decl(excessivelyLargeTupleSpread.ts, 12, 25)) + +type T8 = [...T7, ...T7]; +>T8 : Symbol(T8, Decl(excessivelyLargeTupleSpread.ts, 14, 25)) +>T7 : Symbol(T7, Decl(excessivelyLargeTupleSpread.ts, 13, 25)) +>T7 : Symbol(T7, Decl(excessivelyLargeTupleSpread.ts, 13, 25)) + +type T9 = [...T8, ...T8]; +>T9 : Symbol(T9, Decl(excessivelyLargeTupleSpread.ts, 15, 25)) +>T8 : Symbol(T8, Decl(excessivelyLargeTupleSpread.ts, 14, 25)) +>T8 : Symbol(T8, Decl(excessivelyLargeTupleSpread.ts, 14, 25)) + +type T10 = [...T9, ...T9]; +>T10 : Symbol(T10, Decl(excessivelyLargeTupleSpread.ts, 16, 25)) +>T9 : Symbol(T9, Decl(excessivelyLargeTupleSpread.ts, 15, 25)) +>T9 : Symbol(T9, Decl(excessivelyLargeTupleSpread.ts, 15, 25)) + +type T11 = [...T10, ...T10]; +>T11 : Symbol(T11, Decl(excessivelyLargeTupleSpread.ts, 17, 26)) +>T10 : Symbol(T10, Decl(excessivelyLargeTupleSpread.ts, 16, 25)) +>T10 : Symbol(T10, Decl(excessivelyLargeTupleSpread.ts, 16, 25)) + +type T12 = [...T11, ...T11]; +>T12 : Symbol(T12, Decl(excessivelyLargeTupleSpread.ts, 18, 28)) +>T11 : Symbol(T11, Decl(excessivelyLargeTupleSpread.ts, 17, 26)) +>T11 : Symbol(T11, Decl(excessivelyLargeTupleSpread.ts, 17, 26)) + +type T13 = [...T12, ...T12]; +>T13 : Symbol(T13, Decl(excessivelyLargeTupleSpread.ts, 19, 28)) +>T12 : Symbol(T12, Decl(excessivelyLargeTupleSpread.ts, 18, 28)) +>T12 : Symbol(T12, Decl(excessivelyLargeTupleSpread.ts, 18, 28)) + +type T14 = [...T13, ...T13]; // 2^14 > 10,000 +>T14 : Symbol(T14, Decl(excessivelyLargeTupleSpread.ts, 20, 28)) +>T13 : Symbol(T13, Decl(excessivelyLargeTupleSpread.ts, 19, 28)) +>T13 : Symbol(T13, Decl(excessivelyLargeTupleSpread.ts, 19, 28)) + +const a0 = [0] as const; +>a0 : Symbol(a0, Decl(excessivelyLargeTupleSpread.ts, 23, 5)) +>const : Symbol(const) + +const a1 = [...a0, ...a0] as const; +>a1 : Symbol(a1, Decl(excessivelyLargeTupleSpread.ts, 24, 5)) +>a0 : Symbol(a0, Decl(excessivelyLargeTupleSpread.ts, 23, 5)) +>a0 : Symbol(a0, Decl(excessivelyLargeTupleSpread.ts, 23, 5)) +>const : Symbol(const) + +const a2 = [...a1, ...a1] as const; +>a2 : Symbol(a2, Decl(excessivelyLargeTupleSpread.ts, 25, 5)) +>a1 : Symbol(a1, Decl(excessivelyLargeTupleSpread.ts, 24, 5)) +>a1 : Symbol(a1, Decl(excessivelyLargeTupleSpread.ts, 24, 5)) +>const : Symbol(const) + +const a3 = [...a2, ...a2] as const; +>a3 : Symbol(a3, Decl(excessivelyLargeTupleSpread.ts, 26, 5)) +>a2 : Symbol(a2, Decl(excessivelyLargeTupleSpread.ts, 25, 5)) +>a2 : Symbol(a2, Decl(excessivelyLargeTupleSpread.ts, 25, 5)) +>const : Symbol(const) + +const a4 = [...a3, ...a3] as const; +>a4 : Symbol(a4, Decl(excessivelyLargeTupleSpread.ts, 27, 5)) +>a3 : Symbol(a3, Decl(excessivelyLargeTupleSpread.ts, 26, 5)) +>a3 : Symbol(a3, Decl(excessivelyLargeTupleSpread.ts, 26, 5)) +>const : Symbol(const) + +const a5 = [...a4, ...a4] as const; +>a5 : Symbol(a5, Decl(excessivelyLargeTupleSpread.ts, 28, 5)) +>a4 : Symbol(a4, Decl(excessivelyLargeTupleSpread.ts, 27, 5)) +>a4 : Symbol(a4, Decl(excessivelyLargeTupleSpread.ts, 27, 5)) +>const : Symbol(const) + +const a6 = [...a5, ...a5] as const; +>a6 : Symbol(a6, Decl(excessivelyLargeTupleSpread.ts, 29, 5)) +>a5 : Symbol(a5, Decl(excessivelyLargeTupleSpread.ts, 28, 5)) +>a5 : Symbol(a5, Decl(excessivelyLargeTupleSpread.ts, 28, 5)) +>const : Symbol(const) + +const a7 = [...a6, ...a6] as const; +>a7 : Symbol(a7, Decl(excessivelyLargeTupleSpread.ts, 30, 5)) +>a6 : Symbol(a6, Decl(excessivelyLargeTupleSpread.ts, 29, 5)) +>a6 : Symbol(a6, Decl(excessivelyLargeTupleSpread.ts, 29, 5)) +>const : Symbol(const) + +const a8 = [...a7, ...a7] as const; +>a8 : Symbol(a8, Decl(excessivelyLargeTupleSpread.ts, 31, 5)) +>a7 : Symbol(a7, Decl(excessivelyLargeTupleSpread.ts, 30, 5)) +>a7 : Symbol(a7, Decl(excessivelyLargeTupleSpread.ts, 30, 5)) +>const : Symbol(const) + +const a9 = [...a8, ...a8] as const; +>a9 : Symbol(a9, Decl(excessivelyLargeTupleSpread.ts, 32, 5)) +>a8 : Symbol(a8, Decl(excessivelyLargeTupleSpread.ts, 31, 5)) +>a8 : Symbol(a8, Decl(excessivelyLargeTupleSpread.ts, 31, 5)) +>const : Symbol(const) + +const a10 = [...a9, ...a9] as const; +>a10 : Symbol(a10, Decl(excessivelyLargeTupleSpread.ts, 33, 5)) +>a9 : Symbol(a9, Decl(excessivelyLargeTupleSpread.ts, 32, 5)) +>a9 : Symbol(a9, Decl(excessivelyLargeTupleSpread.ts, 32, 5)) +>const : Symbol(const) + +const a11 = [...a10, ...a10] as const; +>a11 : Symbol(a11, Decl(excessivelyLargeTupleSpread.ts, 34, 5)) +>a10 : Symbol(a10, Decl(excessivelyLargeTupleSpread.ts, 33, 5)) +>a10 : Symbol(a10, Decl(excessivelyLargeTupleSpread.ts, 33, 5)) +>const : Symbol(const) + +const a12 = [...a11, ...a11] as const; +>a12 : Symbol(a12, Decl(excessivelyLargeTupleSpread.ts, 35, 5)) +>a11 : Symbol(a11, Decl(excessivelyLargeTupleSpread.ts, 34, 5)) +>a11 : Symbol(a11, Decl(excessivelyLargeTupleSpread.ts, 34, 5)) +>const : Symbol(const) + +const a13 = [...a12, ...a12] as const; +>a13 : Symbol(a13, Decl(excessivelyLargeTupleSpread.ts, 36, 5)) +>a12 : Symbol(a12, Decl(excessivelyLargeTupleSpread.ts, 35, 5)) +>a12 : Symbol(a12, Decl(excessivelyLargeTupleSpread.ts, 35, 5)) +>const : Symbol(const) + +const a14 = [...a13, ...a13] as const; // 2^14 > 10,000 +>a14 : Symbol(a14, Decl(excessivelyLargeTupleSpread.ts, 37, 5)) +>a13 : Symbol(a13, Decl(excessivelyLargeTupleSpread.ts, 36, 5)) +>a13 : Symbol(a13, Decl(excessivelyLargeTupleSpread.ts, 36, 5)) +>const : Symbol(const) + diff --git a/tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=typesfirst).types b/tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=typesfirst).types new file mode 100644 index 0000000000000..beb6075368e3f --- /dev/null +++ b/tsc/testdata/baselines/reference/compiler/excessivelyLargeTupleSpread(checkorder=typesfirst).types @@ -0,0 +1,190 @@ +//// [tests/cases/compiler/excessivelyLargeTupleSpread.ts] //// + +=== excessivelyLargeTupleSpread.ts === +// #41771 + +type BuildTuple = +>BuildTuple : BuildTuple + + T['length'] extends L ? T : BuildTuple; + +type A = BuildTuple<3> +>A : any + +type T0 = [any]; +>T0 : T0 + +type T1 = [...T0, ...T0]; +>T1 : [any, any] + +type T2 = [...T1, ...T1]; +>T2 : [any, any, any, any] + +type T3 = [...T2, ...T2]; +>T3 : [any, any, any, any, any, any, any, any] + +type T4 = [...T3, ...T3]; +>T4 : [any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any] + +type T5 = [...T4, ...T4]; +>T5 : [any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any] + +type T6 = [...T5, ...T5]; +>T6 : [any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any] + +type T7 = [...T6, ...T6]; +>T7 : [any, any, any, any, any, any, 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any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any, any] + +type T14 = [...T13, ...T13]; // 2^14 > 10,000 +>T14 : any + +const a0 = [0] as const; +>a0 : readonly [0] +>[0] as const : readonly [0] +>[0] : readonly [0] +>0 : 0 + +const a1 = [...a0, ...a0] as const; +>a1 : readonly [0, 0] +>[...a0, ...a0] as const : readonly [0, 0] +>[...a0, ...a0] : readonly [0, 0] +>...a0 : 0 +>a0 : readonly [0] +>...a0 : 0 +>a0 : readonly [0] + +const a2 = [...a1, ...a1] as const; +>a2 : readonly [0, 0, 0, 0] +>[...a1, ...a1] as const : readonly [0, 0, 0, 0] +>[...a1, ...a1] : readonly [0, 0, 0, 0] +>...a1 : 0 +>a1 : readonly [0, 0] +>...a1 : 0 +>a1 : readonly [0, 0] + +const a3 = [...a2, ...a2] as const; +>a3 : readonly [0, 0, 0, 0, 0, 0, 0, 0] +>[...a2, ...a2] as const : readonly [0, 0, 0, 0, 0, 0, 0, 0] +>[...a2, ...a2] : readonly [0, 0, 0, 0, 0, 0, 0, 0] +>...a2 : 0 +>a2 : readonly [0, 0, 0, 0] +>...a2 : 0 +>a2 : readonly [0, 0, 0, 0] + +const a4 = [...a3, ...a3] as const; +>a4 : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>[...a3, ...a3] as const : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>[...a3, ...a3] : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>...a3 : 0 +>a3 : readonly [0, 0, 0, 0, 0, 0, 0, 0] +>...a3 : 0 +>a3 : readonly [0, 0, 0, 0, 0, 0, 0, 0] + +const a5 = [...a4, ...a4] as const; +>a5 : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>[...a4, ...a4] as const : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>[...a4, ...a4] : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>...a4 : 0 +>a4 : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>...a4 : 0 +>a4 : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] + +const a6 = [...a5, ...a5] as const; +>a6 : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>[...a5, ...a5] as const : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>[...a5, ...a5] : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>...a5 : 0 +>a5 : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>...a5 : 0 +>a5 : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] + +const a7 = [...a6, ...a6] as const; +>a7 : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>[...a6, ...a6] as const : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>[...a6, ...a6] : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>...a6 : 0 +>a6 : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>...a6 : 0 +>a6 : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] + +const a8 = [...a7, ...a7] as const; +>a8 : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>[...a7, ...a7] as const : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>[...a7, ...a7] : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>...a7 : 0 +>a7 : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>...a7 : 0 +>a7 : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] + +const a9 = [...a8, ...a8] as const; +>a9 : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>[...a8, ...a8] as const : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>[...a8, ...a8] : readonly [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] +>...a8 : 0 +>a8 : readonly [0, 0, 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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] + diff --git a/tsc/testdata/tests/cases/compiler/excessivelyLargeTupleSpread.ts b/tsc/testdata/tests/cases/compiler/excessivelyLargeTupleSpread.ts index aba0de7b9b952..d8ec361ce08f3 100644 --- a/tsc/testdata/tests/cases/compiler/excessivelyLargeTupleSpread.ts +++ b/tsc/testdata/tests/cases/compiler/excessivelyLargeTupleSpread.ts @@ -1,3 +1,4 @@ +// @checkOrder: default, typesfirst // @target: es2015 // #41771 From 17d2da552eb3f1c47f682d2fd66d6a1014d235df Mon Sep 17 00:00:00 2001 From: Jake Bailey <5341706+jakebailey@users.noreply.github.com> Date: Sun, 18 Oct 2026 22:16:35 -0700 Subject: [PATCH 02/13] Check assertion operands once, with their normal type checkAssertion runs in several check modes, such as when a call is first checked without its context sensitive arguments, and each run overwrote the operand type kept for the deferred comparability check. That check used whichever was stored last, so its result depended on the order in which the assertion was checked. The deferred check now uses the cached normal type of the operand. The assertion itself only needs the operand type for `as const`, and the operand of a non-const assertion is contextually typed by the asserted type alone, so in any check mode the assertion computes the cached type the deferred check will read, with inference for an enclosing call hidden from the operand. This is the result the deferred check would produce on its own, and checks each operand once rather than again with fresh flow analysis in the deferred check. --- tsc/internal/checker/checker.go | 31 +++++++++++++++---- tsc/internal/checker/types.go | 6 ---- ...AssertionCallNoHang(checkorder=default).js | 24 ++++++++++++++ ...ssertionCallNoHang(checkorder=isolated).js | 24 ++++++++++++++ ...AssertionCallNoHang(checkorder=reverse).js | 24 ++++++++++++++ ...ertionCallNoHang(checkorder=typesfirst).js | 24 ++++++++++++++ ...sertionOperandInLoopAssertionCallNoHang.ts | 15 +++++++++ 7 files changed, 136 insertions(+), 12 deletions(-) create mode 100644 tsc/testdata/baselines/reference/compiler/assertionOperandInLoopAssertionCallNoHang(checkorder=default).js create mode 100644 tsc/testdata/baselines/reference/compiler/assertionOperandInLoopAssertionCallNoHang(checkorder=isolated).js create mode 100644 tsc/testdata/baselines/reference/compiler/assertionOperandInLoopAssertionCallNoHang(checkorder=reverse).js create mode 100644 tsc/testdata/baselines/reference/compiler/assertionOperandInLoopAssertionCallNoHang(checkorder=typesfirst).js create mode 100644 tsc/testdata/tests/cases/compiler/assertionOperandInLoopAssertionCallNoHang.ts diff --git a/tsc/internal/checker/checker.go b/tsc/internal/checker/checker.go index fe1107e599885..ca271b42b0deb 100644 --- a/tsc/internal/checker/checker.go +++ b/tsc/internal/checker/checker.go @@ -659,6 +659,7 @@ type Checker struct { memberLayoutCache map[CacheHashKey]*MemberLayout markerTypes collections.Set[*Type] resolvingExplicitTypeOfSymbol collections.Set[*ast.Symbol] + resolvingAssertionOperands collections.Set[*ast.Node] constructorOrFunctionChecked collections.Set[*ast.Symbol] undefinedSymbol *ast.Symbol argumentsSymbol *ast.Symbol @@ -713,7 +714,6 @@ type Checker struct { symbolNodeLinks nodeLinkStore[SymbolNodeLinks] typeNodeLinks nodeLinkStore[TypeNodeLinks] enumMemberLinks core.LinkStore[*ast.Node, EnumMemberLinks] - assertionLinks core.LinkStore[*ast.Node, AssertionLinks] arrayLiteralLinks core.LinkStore[*ast.Node, ArrayLiteralLinks] switchStatementLinks core.LinkStore[*ast.Node, SwitchStatementLinks] jsxElementLinks core.LinkStore[*ast.Node, JsxElementLinks] @@ -12557,26 +12557,45 @@ func (c *Checker) checkAssertion(node *ast.Node, checkMode CheckMode) *Type { } } typeNode := node.Type() - exprType := c.checkExpressionEx(node.Expression(), checkMode) + isConst := isConstTypeReference(typeNode) + var exprType *Type + if isConst { + exprType = c.checkExpressionEx(node.Expression(), checkMode) + } else if c.resolvingAssertionOperands.AddIfAbsent(node) { + // Only the deferred check uses the operand type, and it uses the + // cached one, so compute that here rather than checking twice. The + // operand is contextually typed by the asserted type alone; hiding + // any inference in progress for an enclosing call keeps the cached + // type the same as when the deferred check computes it. Computing + // the cached type sets aside any flow analysis in progress, so the + // assertion is re-entered when the operand's flow type depends on + // a call containing it within a loop; the enclosing computation + // then provides the cached type. + c.pushInferenceContext(node.Expression(), nil) + c.checkExpressionCached(node.Expression()) + c.popInferenceContext() + c.resolvingAssertionOperands.Delete(node) + } // Always check the type node so its identifiers are resolved. resolveName knows not // to resolve (or report an error for) the `const` in a `const` assertion, so this is // safe even for `x as const` and keeps diagnostics stable regardless of traversal order. c.checkSourceElement(typeNode) - if isConstTypeReference(typeNode) { + if isConst { if !c.isValidConstAssertionArgument(node.Expression()) { c.error(node.Expression(), diagnostics.A_const_assertion_can_only_be_applied_to_references_to_enum_members_or_string_number_boolean_array_or_object_literals) } return c.getRegularTypeOfLiteralType(exprType) } - links := c.assertionLinks.Get(node) - links.exprType = exprType c.checkNodeDeferred(node) return c.getTypeFromTypeNode(typeNode) } func (c *Checker) checkAssertionDeferred(node *ast.Node) { typeNode := node.Type() - exprType := c.getRegularTypeOfObjectLiteral(c.getBaseTypeOfLiteralType(c.assertionLinks.Get(node).exprType)) + // The operand is checked in whatever mode the assertion was, so the + // deferred check uses its type in normal mode, which does not depend on + // which of those checks happened last. + exprType := c.getRegularTypeOfObjectLiteral(c.getBaseTypeOfLiteralType(c.checkExpressionCached(node.Expression()))) targetType := c.getTypeFromTypeNode(typeNode) if !c.isErrorType(targetType) { widenedType := c.getWidenedType(exprType) diff --git a/tsc/internal/checker/types.go b/tsc/internal/checker/types.go index e2110ef695959..68a7da1103049 100644 --- a/tsc/internal/checker/types.go +++ b/tsc/internal/checker/types.go @@ -471,12 +471,6 @@ type EnumMemberLinks struct { value evaluator.Result // Constant value of enum member } -// Links for assertion expressions - -type AssertionLinks struct { - exprType *Type // Assertion expression type -} - // SourceFile links type SourceFileLinks struct { diff --git a/tsc/testdata/baselines/reference/compiler/assertionOperandInLoopAssertionCallNoHang(checkorder=default).js b/tsc/testdata/baselines/reference/compiler/assertionOperandInLoopAssertionCallNoHang(checkorder=default).js new file mode 100644 index 0000000000000..9375a099f5c6f --- /dev/null +++ b/tsc/testdata/baselines/reference/compiler/assertionOperandInLoopAssertionCallNoHang(checkorder=default).js @@ -0,0 +1,24 @@ +//// [tests/cases/compiler/assertionOperandInLoopAssertionCallNoHang.ts] //// + +//// [assertionOperandInLoopAssertionCallNoHang.ts] +declare function assertEqual(actual: unknown, expected: T): asserts actual; +declare class C {} +declare function on(cb: (e: undefined) => void): void; +declare const data: []; + +on(e => { + assertEqual(e, false); + for (;;) { + assertEqual(e as C, data); + } +}); + + +//// [assertionOperandInLoopAssertionCallNoHang.js] +"use strict"; +on(e => { + assertEqual(e, false); + for (;;) { + assertEqual(e, data); + } +}); diff --git a/tsc/testdata/baselines/reference/compiler/assertionOperandInLoopAssertionCallNoHang(checkorder=isolated).js b/tsc/testdata/baselines/reference/compiler/assertionOperandInLoopAssertionCallNoHang(checkorder=isolated).js new file mode 100644 index 0000000000000..9375a099f5c6f --- /dev/null +++ b/tsc/testdata/baselines/reference/compiler/assertionOperandInLoopAssertionCallNoHang(checkorder=isolated).js @@ -0,0 +1,24 @@ +//// [tests/cases/compiler/assertionOperandInLoopAssertionCallNoHang.ts] //// + +//// [assertionOperandInLoopAssertionCallNoHang.ts] +declare function assertEqual(actual: unknown, expected: T): asserts actual; +declare class C {} +declare function on(cb: (e: undefined) => void): void; +declare const data: []; + +on(e => { + assertEqual(e, false); + for (;;) { + assertEqual(e as C, data); + } +}); + + +//// [assertionOperandInLoopAssertionCallNoHang.js] +"use strict"; +on(e => { + assertEqual(e, false); + for (;;) { + assertEqual(e, data); + } +}); diff --git a/tsc/testdata/baselines/reference/compiler/assertionOperandInLoopAssertionCallNoHang(checkorder=reverse).js b/tsc/testdata/baselines/reference/compiler/assertionOperandInLoopAssertionCallNoHang(checkorder=reverse).js new file mode 100644 index 0000000000000..9375a099f5c6f --- /dev/null +++ b/tsc/testdata/baselines/reference/compiler/assertionOperandInLoopAssertionCallNoHang(checkorder=reverse).js @@ -0,0 +1,24 @@ +//// [tests/cases/compiler/assertionOperandInLoopAssertionCallNoHang.ts] //// + +//// [assertionOperandInLoopAssertionCallNoHang.ts] +declare function assertEqual(actual: unknown, expected: T): asserts actual; +declare class C {} +declare function on(cb: (e: undefined) => void): void; +declare const data: []; + +on(e => { + assertEqual(e, false); + for (;;) { + assertEqual(e as C, data); + } +}); + + +//// [assertionOperandInLoopAssertionCallNoHang.js] +"use strict"; +on(e => { + assertEqual(e, false); + for (;;) { + assertEqual(e, data); + } +}); diff --git a/tsc/testdata/baselines/reference/compiler/assertionOperandInLoopAssertionCallNoHang(checkorder=typesfirst).js b/tsc/testdata/baselines/reference/compiler/assertionOperandInLoopAssertionCallNoHang(checkorder=typesfirst).js new file mode 100644 index 0000000000000..9375a099f5c6f --- /dev/null +++ b/tsc/testdata/baselines/reference/compiler/assertionOperandInLoopAssertionCallNoHang(checkorder=typesfirst).js @@ -0,0 +1,24 @@ +//// [tests/cases/compiler/assertionOperandInLoopAssertionCallNoHang.ts] //// + +//// [assertionOperandInLoopAssertionCallNoHang.ts] +declare function assertEqual(actual: unknown, expected: T): asserts actual; +declare class C {} +declare function on(cb: (e: undefined) => void): void; +declare const data: []; + +on(e => { + assertEqual(e, false); + for (;;) { + assertEqual(e as C, data); + } +}); + + +//// [assertionOperandInLoopAssertionCallNoHang.js] +"use strict"; +on(e => { + assertEqual(e, false); + for (;;) { + assertEqual(e, data); + } +}); diff --git a/tsc/testdata/tests/cases/compiler/assertionOperandInLoopAssertionCallNoHang.ts b/tsc/testdata/tests/cases/compiler/assertionOperandInLoopAssertionCallNoHang.ts new file mode 100644 index 0000000000000..c1ac25d7c9aa3 --- /dev/null +++ b/tsc/testdata/tests/cases/compiler/assertionOperandInLoopAssertionCallNoHang.ts @@ -0,0 +1,15 @@ +// @strict: true +// @noTypesAndSymbols: true +// @checkOrder: default, reverse, isolated, typesfirst + +declare function assertEqual(actual: unknown, expected: T): asserts actual; +declare class C {} +declare function on(cb: (e: undefined) => void): void; +declare const data: []; + +on(e => { + assertEqual(e, false); + for (;;) { + assertEqual(e as C, data); + } +}); From d38dd90393cdd03c4b769ca1a4f147ee80037da3 Mon Sep 17 00:00:00 2001 From: Jake Bailey <5341706+jakebailey@users.noreply.github.com> Date: Mon, 19 Oct 2026 04:44:54 -0700 Subject: [PATCH 03/13] Derive binding pattern parent types without peeking at caches The type of a destructured parameter's binding elements depended on whether the parameter's type happened to be cached already. For example, in non-strict mode (({ [a()?.d]: c = "" }) => {})(); reported TS2537 when 'c' was queried before the IIFE call resolved the parameter (its declared type is the undefined widening type), but not otherwise. Conversely, in f7({ a: {} }); function f7({ a: { x = 0, y = 0 } } = { a: {} }) {} calling f7 first made 'x' and 'y' errors of type any. Make the choice depend only on the declaration. Parameters of context-sensitive functions take their type from contextual assignment, so ask for the parameter's type. Everything else uses the type derived from the declaration, as it did when nothing was cached. Asking for the parameter's type unconditionally instead introduces circularities in patterns whose initializers reference sibling elements. --- tsc/internal/checker/checker.go | 4 +- ...ializers(checkorder=typesfirst).errors.txt | 75 ------------------- ...lInitializers(checkorder=typesfirst).types | 4 +- 3 files changed, 4 insertions(+), 79 deletions(-) delete mode 100644 tsc/testdata/baselines/reference/conformance/destructuringWithLiteralInitializers(checkorder=typesfirst).errors.txt diff --git a/tsc/internal/checker/checker.go b/tsc/internal/checker/checker.go index ca271b42b0deb..279766504dd84 100644 --- a/tsc/internal/checker/checker.go +++ b/tsc/internal/checker/checker.go @@ -18182,8 +18182,8 @@ func (c *Checker) getTypeForBindingElementParent(node *ast.Node, checkMode Check if checkMode == CheckModeNormal { // We can use a cached resolved type if no optionality was included in that type. if symbol := c.getSymbolOfDeclaration(node); symbol != nil { - if resolvedType := c.valueSymbolLinks.Get(symbol).resolvedType; resolvedType != nil && !(c.strictNullChecks && isOptionalDeclaration(node)) { - return resolvedType + if !(c.strictNullChecks && isOptionalDeclaration(node)) && node.Kind == ast.KindParameter && c.isContextSensitiveFunctionOrObjectLiteralMethod(node.Parent) { + return c.getTypeOfSymbol(symbol) } } } diff --git a/tsc/testdata/baselines/reference/conformance/destructuringWithLiteralInitializers(checkorder=typesfirst).errors.txt b/tsc/testdata/baselines/reference/conformance/destructuringWithLiteralInitializers(checkorder=typesfirst).errors.txt deleted file mode 100644 index ee3b06edc611c..0000000000000 --- a/tsc/testdata/baselines/reference/conformance/destructuringWithLiteralInitializers(checkorder=typesfirst).errors.txt +++ /dev/null @@ -1,75 +0,0 @@ -destructuringWithLiteralInitializers.ts(37,20): error TS2339: Property 'x' does not exist on type '{}'. -destructuringWithLiteralInitializers.ts(37,27): error TS2339: Property 'y' does not exist on type '{}'. - - -==== destructuringWithLiteralInitializers.ts (2 errors) ==== - // (arg: { x: any, y: any }) => void - function f1({ x, y }) { } - f1({ x: 1, y: 1 }); - - // (arg: { x: any, y?: number }) => void - function f2({ x, y = 0 }) { } - f2({ x: 1 }); - f2({ x: 1, y: 1 }); - - // (arg: { x?: number, y?: number }) => void - function f3({ x = 0, y = 0 }) { } - f3({}); - f3({ x: 1 }); - f3({ y: 1 }); - f3({ x: 1, y: 1 }); - - // (arg?: { x: number, y: number }) => void - function f4({ x, y } = { x: 0, y: 0 }) { } - f4(); - f4({ x: 1, y: 1 }); - - // (arg?: { x: number, y?: number }) => void - function f5({ x, y = 0 } = { x: 0 }) { } - f5(); - f5({ x: 1 }); - f5({ x: 1, y: 1 }); - - // (arg?: { x?: number, y?: number }) => void - function f6({ x = 0, y = 0 } = {}) { } - f6(); - f6({}); - f6({ x: 1 }); - f6({ y: 1 }); - f6({ x: 1, y: 1 }); - - // (arg?: { a: { x?: number, y?: number } }) => void - function f7({ a: { x = 0, y = 0 } } = { a: {} }) { } - ~ -!!! error TS2339: Property 'x' does not exist on type '{}'. - ~ -!!! error TS2339: Property 'y' does not exist on type '{}'. - f7(); - f7({ a: {} }); - f7({ a: { x: 1 } }); - f7({ a: { y: 1 } }); - f7({ a: { x: 1, y: 1 } }); - - // (arg: [any, any]) => void - function g1([x, y]) { } - g1([1, 1]); - - // (arg: [number, number]) => void - function g2([x = 0, y = 0]) { } - g2([1, 1]); - - // (arg?: [number, number]) => void - function g3([x, y] = [0, 0]) { } - g3(); - g3([1, 1]); - - // (arg?: [number, number]) => void - function g4([x, y = 0] = [0]) { } - g4(); - g4([1, 1]); - - // (arg?: [number, number]) => void - function g5([x = 0, y = 0] = []) { } - g5(); - g5([1, 1]); - \ No newline at end of file diff --git a/tsc/testdata/baselines/reference/conformance/destructuringWithLiteralInitializers(checkorder=typesfirst).types b/tsc/testdata/baselines/reference/conformance/destructuringWithLiteralInitializers(checkorder=typesfirst).types index 45f5edceff50e..d46ab82876d40 100644 --- a/tsc/testdata/baselines/reference/conformance/destructuringWithLiteralInitializers(checkorder=typesfirst).types +++ b/tsc/testdata/baselines/reference/conformance/destructuringWithLiteralInitializers(checkorder=typesfirst).types @@ -174,9 +174,9 @@ f6({ x: 1, y: 1 }); function f7({ a: { x = 0, y = 0 } } = { a: {} }) { } >f7 : ({ a: { x, y } }?: { a: {}; }) => void >a : any ->x : any +>x : number >0 : 0 ->y : any +>y : number >0 : 0 >{ a: {} } : { a: {}; } >a : {} From f299593da1a9e73047c44d192c6f392510dc7b1e Mon Sep 17 00:00:00 2001 From: Jake Bailey <5341706+jakebailey@users.noreply.github.com> Date: Mon, 19 Oct 2026 04:53:14 -0700 Subject: [PATCH 04/13] Make contextual typing of functions independent of query order A context-sensitive function is typed in parts: the enclosing call assigns its parameters their contextual types, completes its signature with the type parameters of a generic contextual signature, and checks it. Queries that reached the function before or during those steps saw it incomplete and cached what they derived from it. The first query of such a parameter returned the type it computed itself from the final signature, while every later query returned the type the enclosing call assigned. In declare function fun(g: (x: T) => T, h: (y: T) => T, x: T): T; fun((Math.random() < 0.5 ? (x => x) : (x => undefined)), x => x, 10); the last 'x' was number when the call was checked first, but any when 'x' was queried first. The assigned type is now returned whenever one exists, as the original comment intended. Type aliases in the body read the signature's type parameters as outer type parameters, so querying such an alias first resolved its conditional types eagerly. In declare function f(fun: (t: T) => void): void f(function self(t) { const s = self; type P = Parameters; }); P was [t: unknown] when the call was checked first, but [t: T] when P was asked for first. Assigning the contextual parameter types, which completes the signature, is now split from the rest of the contextual check, and every way to obtain the signature requests it: the type of the function's symbol, before anything resolves its members, and the signature of its declaration. Contextual typing can reach the enclosing call while the signature is being created, so the signature created there is kept rather than replacing the one that was contextually typed. When resolving a function expression's members reached the function again through its enclosing call, the contextual check saw an empty signature list and gave up, yet left the node marked as checked, so implicit any errors could be lost depending on which query got there first. The deferred function check now requests the contextual check, so it is performed at least once. --- tsc/internal/checker/checker.go | 76 ++++++++++++++----- tsc/internal/checker/types.go | 1 + ...pression(checkorder=typesfirst).errors.txt | 5 +- ...ypeParameters(checkorder=typesfirst).types | 12 +-- ...nference(checkorder=typesfirst).errors.txt | 8 +- ...eatedly2(checkorder=typesfirst).errors.txt | 7 +- ...rsRepeatedly2(checkorder=typesfirst).types | 4 +- ...eTagOnContextuallyTypedFunction.errors.txt | 12 ++- ...TypeTagOnContextuallyTypedFunction.symbols | 8 +- ...ocTypeTagOnContextuallyTypedFunction.types | 30 ++++---- ...Deferred(checkorder=typesfirst).errors.txt | 6 +- ...ckingDeferred(checkorder=typesfirst).types | 6 +- ...e-with-multiple-files-and-complex-types.js | 10 +-- 13 files changed, 115 insertions(+), 70 deletions(-) diff --git a/tsc/internal/checker/checker.go b/tsc/internal/checker/checker.go index 279766504dd84..3602ce17ebc84 100644 --- a/tsc/internal/checker/checker.go +++ b/tsc/internal/checker/checker.go @@ -10402,8 +10402,32 @@ func (c *Checker) checkFunctionExpressionOrObjectLiteralMethod(node *ast.Node, c } func (c *Checker) contextuallyCheckFunctionExpressionOrObjectLiteralMethod(node *ast.Node, checkMode CheckMode) { + c.assignContextualParameterTypesOfFunction(node, checkMode) + links := c.nodeLinks.Get(node) + if links.flags&NodeCheckFlagsContextChecked == 0 || links.flags&NodeCheckFlagsSignatureContextChecked != 0 { + return + } + links.flags |= NodeCheckFlagsSignatureContextChecked + signature := c.getSignatureFromDeclarationUncontextual(node) + contextualSignature := c.getContextualSignature(node) + if contextualSignature != nil && c.getReturnTypeFromAnnotation(node) == nil && signature.resolvedReturnType == nil { + // resolvedReturnType is cached indefinitely, so the return type here has to be computed without CheckModeSkipContextSensitive; + // otherwise anyFunctionType could leak as part of the computed (and cached) return type. + returnType := c.getReturnTypeFromBody(node, checkMode&^CheckModeSkipContextSensitive) + if signature.resolvedReturnType == nil { + signature.resolvedReturnType = returnType + } + } + c.checkSignatureDeclaration(node) +} + +// assignContextualParameterTypesOfFunction assigns the parameters of a +// function expression or object literal method their contextual types, and +// its signature the type parameters of a generic contextual signature. The +// signature of the function is not complete until then, so +// getSignatureFromDeclaration requests this before returning it. +func (c *Checker) assignContextualParameterTypesOfFunction(node *ast.Node, checkMode CheckMode) { links := c.nodeLinks.Get(node) - // Check if function expression is contextually typed and assign parameter types if so. if links.flags&NodeCheckFlagsContextChecked == 0 { contextualSignature := c.getContextualSignature(node) // If a type check is started at a function expression that is an argument of a function call, obtaining the @@ -10411,10 +10435,7 @@ func (c *Checker) contextuallyCheckFunctionExpressionOrObjectLiteralMethod(node // already assigned contextual types. if links.flags&NodeCheckFlagsContextChecked == 0 { links.flags |= NodeCheckFlagsContextChecked - signature := core.FirstOrNil(c.getSignaturesOfType(c.getTypeOfSymbol(c.getSymbolOfDeclaration(node)), SignatureKindCall)) - if signature == nil { - return - } + signature := c.getSignatureFromDeclarationUncontextual(node) if c.isContextSensitive(node) { if contextualSignature != nil { inferenceContext := c.getInferenceContext(node) @@ -10444,20 +10465,14 @@ func (c *Checker) contextuallyCheckFunctionExpressionOrObjectLiteralMethod(node c.inferFromAnnotatedParametersAndReturn(signature, contextualSignature, inferenceContext) } } - if contextualSignature != nil && c.getReturnTypeFromAnnotation(node) == nil && signature.resolvedReturnType == nil { - // resolvedReturnType is cached indefinitely, so the return type here has to be computed without CheckModeSkipContextSensitive; - // otherwise anyFunctionType could leak as part of the computed (and cached) return type. - returnType := c.getReturnTypeFromBody(node, checkMode&^CheckModeSkipContextSensitive) - if signature.resolvedReturnType == nil { - signature.resolvedReturnType = returnType - } - } - c.checkSignatureDeclaration(node) } } } func (c *Checker) checkFunctionExpressionOrObjectLiteralMethodDeferred(node *ast.Node) { + // Account for the contextual check of the function, which may have been + // performed by a query rather than by resolving the enclosing call. + c.contextuallyCheckFunctionExpressionOrObjectLiteralMethod(node, CheckModeNormal) functionFlags := ast.GetFunctionFlags(node) returnType := c.getReturnTypeFromAnnotation(node) c.checkAllCodePathsInNonVoidFunctionReturnOrThrow(node, returnType) @@ -17015,7 +17030,10 @@ func (c *Checker) getTypeOfVariableOrParameterOrProperty(symbol *ast.Symbol) *Ty // to preserve this type. In fact, we need to _prefer_ that type, but it won't // be assigned until contextual typing is complete, so we need to defer in // cases where contextual typing may take place. - if links.resolvedType == nil && !c.isParameterOfContextSensitiveSignature(symbol) { + if assigned := links.resolvedType; assigned != nil { + return assigned + } + if !c.isParameterOfContextSensitiveSignature(symbol) { links.resolvedType = t } return t @@ -17369,6 +17387,12 @@ func (c *Checker) getTypeOfFuncClassEnumModule(symbol *ast.Symbol) *Type { if links.resolvedType == nil { links.resolvedType = c.getTypeOfFuncClassEnumModuleWorker(symbol) } + if declaration := symbol.ValueDeclaration(); declaration != nil && c.isContextSensitiveFunctionOrObjectLiteralMethod(declaration) { + // Complete the signature before anything resolves the members of the + // type: doing so may check the enclosing call, which needs the + // members of the type. + c.assignContextualParameterTypesOfFunction(declaration, CheckModeNormal) + } return links.resolvedType } @@ -20486,6 +20510,17 @@ func (c *Checker) getSignaturesOfSymbol(symbol *ast.Symbol) []*Signature { } func (c *Checker) getSignatureFromDeclaration(declaration *ast.Node) *Signature { + signature := c.getSignatureFromDeclarationUncontextual(declaration) + if c.isContextSensitiveFunctionOrObjectLiteralMethod(declaration) { + c.assignContextualParameterTypesOfFunction(declaration, CheckModeNormal) + } + return signature +} + +// getSignatureFromDeclarationUncontextual returns the signature of a +// declaration without the contextual typing that completes the signatures +// of context-sensitive functions. +func (c *Checker) getSignatureFromDeclarationUncontextual(declaration *ast.Node) *Signature { links := c.signatureLinks.Get(declaration) if links.resolvedSignature != nil { return links.resolvedSignature @@ -20557,6 +20592,12 @@ func (c *Checker) getSignatureFromDeclaration(declaration *ast.Node) *Signature if ast.IsConstructorTypeNode(declaration) && ast.HasSyntacticModifier(declaration, ast.ModifierFlagsAbstract) || ast.IsConstructorDeclaration(declaration) && ast.HasSyntacticModifier(declaration.Parent, ast.ModifierFlagsAbstract) { flags |= SignatureFlagsAbstract } + if links.resolvedSignature != nil { + // Computing the signature reached the enclosing call, which + // contextually typed the function with a signature of its own, as + // when the call is checked first. Keep that one. + return links.resolvedSignature + } links.resolvedSignature = c.newSignature(flags, declaration, typeParameters, thisParameter, parameters, nil /*resolvedReturnType*/, nil /*resolvedTypePredicate*/, minArgumentCount) return links.resolvedSignature } @@ -24532,9 +24573,8 @@ func (c *Checker) getOuterTypeParameters(node *ast.Node, includeThisTypes bool) ast.KindConditionalType: outerTypeParameters := c.getOuterTypeParameters(node, includeThisTypes) if (kind == ast.KindFunctionExpression || kind == ast.KindArrowFunction || ast.IsObjectLiteralMethod(node)) && c.isContextSensitive(node) { - signature := core.FirstOrNil(c.getSignaturesOfType(c.getTypeOfSymbol(c.getSymbolOfDeclaration(node)), SignatureKindCall)) - if signature != nil && len(signature.TypeParameters()) != 0 { - return append(outerTypeParameters, signature.TypeParameters()...) + if typeParameters := c.getSignatureFromDeclaration(node).TypeParameters(); len(typeParameters) != 0 { + return append(outerTypeParameters, typeParameters...) } } if kind == ast.KindMappedType { diff --git a/tsc/internal/checker/types.go b/tsc/internal/checker/types.go index 68a7da1103049..8d270fd23df46 100644 --- a/tsc/internal/checker/types.go +++ b/tsc/internal/checker/types.go @@ -416,6 +416,7 @@ const ( NodeCheckFlagsNone NodeCheckFlags = 0 NodeCheckFlagsTypeChecked NodeCheckFlags = 1 << 0 // Node has been type checked NodeCheckFlagsContextChecked NodeCheckFlags = 1 << 6 // Contextual types have been assigned + NodeCheckFlagsSignatureContextChecked NodeCheckFlags = 1 << 7 // Signature of a contextually typed function has been checked NodeCheckFlagsEnumValuesComputed NodeCheckFlags = 1 << 10 // Values for enum members have been computed, and any errors have been reported for them. NodeCheckFlagsAssignmentsMarked NodeCheckFlags = 1 << 17 // Parameter assignments have been marked NodeCheckFlagsContainsClassWithPrivateIdentifiers NodeCheckFlags = 1 << 20 // Marked on all block-scoped containers containing a class with private identifiers. diff --git a/tsc/testdata/baselines/reference/compiler/checkIndexConstraintOfJavascriptClassExpression(checkorder=typesfirst).errors.txt b/tsc/testdata/baselines/reference/compiler/checkIndexConstraintOfJavascriptClassExpression(checkorder=typesfirst).errors.txt index a15bd4d38db0d..fa22beceb33e2 100644 --- a/tsc/testdata/baselines/reference/compiler/checkIndexConstraintOfJavascriptClassExpression(checkorder=typesfirst).errors.txt +++ b/tsc/testdata/baselines/reference/compiler/checkIndexConstraintOfJavascriptClassExpression(checkorder=typesfirst).errors.txt @@ -1,12 +1,15 @@ weird.js(1,1): error TS2552: Cannot find name 'someFunction'. Did you mean 'Function'? +weird.js(1,23): error TS7006: Parameter 'BaseClass' implicitly has an 'any' type. weird.js(9,17): error TS7006: Parameter 'error' implicitly has an 'any' type. -==== weird.js (2 errors) ==== +==== weird.js (3 errors) ==== someFunction(function(BaseClass) { ~~~~~~~~~~~~ !!! error TS2552: Cannot find name 'someFunction'. Did you mean 'Function'? !!! related TS2728 lib.es5.d.ts:--:--: 'Function' is declared here. + ~~~~~~~~~ +!!! error TS7006: Parameter 'BaseClass' implicitly has an 'any' type. 'use strict'; const DEFAULT_MESSAGE = "nop!"; class Hello extends BaseClass { diff --git a/tsc/testdata/baselines/reference/compiler/contextualOuterTypeParameters(checkorder=typesfirst).types b/tsc/testdata/baselines/reference/compiler/contextualOuterTypeParameters(checkorder=typesfirst).types index 280e75fb600cf..3be38bfec4e31 100644 --- a/tsc/testdata/baselines/reference/compiler/contextualOuterTypeParameters(checkorder=typesfirst).types +++ b/tsc/testdata/baselines/reference/compiler/contextualOuterTypeParameters(checkorder=typesfirst).types @@ -37,13 +37,13 @@ const fn1: (x: T) => void = t => { >t : T type isArray = (typeof t)[] extends string[] ? true : false; ->isArray : false +>isArray : T[] extends string[] ? true : false >t : T >true : true >false : false type IsObject = { x: typeof t } extends { x: string } ? true : false; ->IsObject : false +>IsObject : { x: typeof t; } extends { x: string; } ? true : false >x : T >t : T >x : string @@ -60,13 +60,13 @@ const fn2: (x: T) => void = function test(t) { >t : T type isArray = (typeof t)[] extends string[] ? true : false; ->isArray : false +>isArray : T[] extends string[] ? true : false >t : T >true : true >false : false type IsObject = { x: typeof t } extends { x: string } ? true : false; ->IsObject : false +>IsObject : { x: typeof t; } extends { x: string; } ? true : false >x : T >t : T >x : string @@ -86,13 +86,13 @@ const obj: { f: (x: T) => void } = { >t : T type isArray = (typeof t)[] extends string[] ? true : false; ->isArray : false +>isArray : T[] extends string[] ? true : false >t : T >true : true >false : false type IsObject = { x: typeof t } extends { x: string } ? true : false; ->IsObject : false +>IsObject : { x: typeof t; } extends { x: string; } ? true : false >x : T >t : T >x : string diff --git a/tsc/testdata/baselines/reference/compiler/fallbackToBindingPatternForTypeInference(checkorder=typesfirst).errors.txt b/tsc/testdata/baselines/reference/compiler/fallbackToBindingPatternForTypeInference(checkorder=typesfirst).errors.txt index 37a59b2d11dea..9a04ca00910e5 100644 --- a/tsc/testdata/baselines/reference/compiler/fallbackToBindingPatternForTypeInference(checkorder=typesfirst).errors.txt +++ b/tsc/testdata/baselines/reference/compiler/fallbackToBindingPatternForTypeInference(checkorder=typesfirst).errors.txt @@ -1,7 +1,6 @@ fallbackToBindingPatternForTypeInference.ts(2,7): error TS2345: Argument of type '({ a }: { a: any; }) => any' is not assignable to parameter of type '(x: unknown) => string'. Types of parameters '__0' and 'x' are incompatible. Type 'unknown' is not assignable to type '{ a: any; }'. -fallbackToBindingPatternForTypeInference.ts(2,9): error TS2339: Property 'a' does not exist on type 'unknown'. fallbackToBindingPatternForTypeInference.ts(3,7): error TS2345: Argument of type '([b, c]: [any, any]) => string' is not assignable to parameter of type '(x: unknown) => string'. Types of parameters '__0' and 'x' are incompatible. Type 'unknown' is not assignable to type '[any, any]'. @@ -14,18 +13,15 @@ fallbackToBindingPatternForTypeInference.ts(5,7): error TS2345: Argument of type fallbackToBindingPatternForTypeInference.ts(6,7): error TS2345: Argument of type '({ a, b }: { a: any; b?: number | undefined; }) => any' is not assignable to parameter of type '(x: unknown) => string'. Types of parameters '__0' and 'x' are incompatible. Type 'unknown' is not assignable to type '{ a: any; b?: number | undefined; }'. -fallbackToBindingPatternForTypeInference.ts(6,9): error TS2339: Property 'a' does not exist on type 'unknown'. -==== fallbackToBindingPatternForTypeInference.ts (7 errors) ==== +==== fallbackToBindingPatternForTypeInference.ts (5 errors) ==== declare function trans(f: (x: T) => string): number; trans(({a}) => a); ~~~~~~~~~~ !!! error TS2345: Argument of type '({ a }: { a: any; }) => any' is not assignable to parameter of type '(x: unknown) => string'. !!! error TS2345: Types of parameters '__0' and 'x' are incompatible. !!! error TS2345: Type 'unknown' is not assignable to type '{ a: any; }'. - ~ -!!! error TS2339: Property 'a' does not exist on type 'unknown'. trans(([b,c]) => 'foo'); ~~~~~~~~~~~~~~~~ !!! error TS2345: Argument of type '([b, c]: [any, any]) => string' is not assignable to parameter of type '(x: unknown) => string'. @@ -46,6 +42,4 @@ fallbackToBindingPatternForTypeInference.ts(6,9): error TS2339: Property 'a' doe !!! error TS2345: Argument of type '({ a, b }: { a: any; b?: number | undefined; }) => any' is not assignable to parameter of type '(x: unknown) => string'. !!! error TS2345: Types of parameters '__0' and 'x' are incompatible. !!! error TS2345: Type 'unknown' is not assignable to type '{ a: any; b?: number | undefined; }'. - ~ -!!! error TS2339: Property 'a' does not exist on type 'unknown'. \ No newline at end of file diff --git a/tsc/testdata/baselines/reference/compiler/fixingTypeParametersRepeatedly2(checkorder=typesfirst).errors.txt b/tsc/testdata/baselines/reference/compiler/fixingTypeParametersRepeatedly2(checkorder=typesfirst).errors.txt index eaf9da009a413..29a93731f366b 100644 --- a/tsc/testdata/baselines/reference/compiler/fixingTypeParametersRepeatedly2(checkorder=typesfirst).errors.txt +++ b/tsc/testdata/baselines/reference/compiler/fixingTypeParametersRepeatedly2(checkorder=typesfirst).errors.txt @@ -1,9 +1,8 @@ fixingTypeParametersRepeatedly2.ts(11,32): error TS2741: Property 'toBase' is missing in type 'Base' but required in type 'Derived'. fixingTypeParametersRepeatedly2.ts(17,5): error TS2403: Subsequent variable declarations must have the same type. Variable 'result' must be of type 'Derived', but here has type 'Base'. -fixingTypeParametersRepeatedly2.ts(17,34): error TS2339: Property 'toBase' does not exist on type 'Base'. -==== fixingTypeParametersRepeatedly2.ts (3 errors) ==== +==== fixingTypeParametersRepeatedly2.ts (2 errors) ==== interface Base { baseProp; } @@ -27,6 +26,4 @@ fixingTypeParametersRepeatedly2.ts(17,34): error TS2339: Property 'toBase' does var result = bar(derived, d => d.toBase()); ~~~~~~ !!! error TS2403: Subsequent variable declarations must have the same type. Variable 'result' must be of type 'Derived', but here has type 'Base'. -!!! related TS6203 fixingTypeParametersRepeatedly2.ts:11:5: 'result' was also declared here. - ~~~~~~ -!!! error TS2339: Property 'toBase' does not exist on type 'Base'. \ No newline at end of file +!!! related TS6203 fixingTypeParametersRepeatedly2.ts:11:5: 'result' was also declared here. \ No newline at end of file diff --git a/tsc/testdata/baselines/reference/compiler/fixingTypeParametersRepeatedly2(checkorder=typesfirst).types b/tsc/testdata/baselines/reference/compiler/fixingTypeParametersRepeatedly2(checkorder=typesfirst).types index a94614635d95a..0a8fca14e9475 100644 --- a/tsc/testdata/baselines/reference/compiler/fixingTypeParametersRepeatedly2(checkorder=typesfirst).types +++ b/tsc/testdata/baselines/reference/compiler/fixingTypeParametersRepeatedly2(checkorder=typesfirst).types @@ -53,7 +53,7 @@ var result = bar(derived, d => d.toBase()); >d => d.toBase() : (d: Derived) => Base >d : Derived >d.toBase() : Base ->d.toBase : any +>d.toBase : () => Base >d : Derived ->toBase : any +>toBase : () => Base diff --git a/tsc/testdata/baselines/reference/compiler/jsdocTypeTagOnContextuallyTypedFunction.errors.txt b/tsc/testdata/baselines/reference/compiler/jsdocTypeTagOnContextuallyTypedFunction.errors.txt index f9f9a2d8d5885..f19e5b3afede1 100644 --- a/tsc/testdata/baselines/reference/compiler/jsdocTypeTagOnContextuallyTypedFunction.errors.txt +++ b/tsc/testdata/baselines/reference/compiler/jsdocTypeTagOnContextuallyTypedFunction.errors.txt @@ -2,13 +2,17 @@ a.js(4,1): error TS2322: Type '(content: string, rest_0?: boolean | undefined) = Types of parameters 'content' and 'a' are incompatible. Type 'string | number' is not assignable to type 'string'. Type 'number' is not assignable to type 'string'. +a.js(6,35): error TS2339: Property 'toUpperCase' does not exist on type 'string | number'. + Property 'toUpperCase' does not exist on type 'number'. a.js(9,7): error TS2322: Type '(content: string) => string' is not assignable to type '(content: string | number) => string'. Types of parameters 'content' and 'content' are incompatible. Type 'string | number' is not assignable to type 'string'. Type 'number' is not assignable to type 'string'. +a.js(11,26): error TS2339: Property 'toUpperCase' does not exist on type 'string | number'. + Property 'toUpperCase' does not exist on type 'number'. -==== a.js (2 errors) ==== +==== a.js (4 errors) ==== /** @type {{ f: (a: string | number, ...rest: unknown[]) => string }} */ const context = { f: (a) => "" }; @@ -20,6 +24,9 @@ a.js(9,7): error TS2322: Type '(content: string) => string' is not assignable to !!! error TS2322: Type 'number' is not assignable to type 'string'. /** @type {(content: string, ...rest: [boolean?]) => string} */ (content, ...rest) => content.toUpperCase() + rest.length; + ~~~~~~~~~~~ +!!! error TS2339: Property 'toUpperCase' does not exist on type 'string | number'. +!!! error TS2339: Property 'toUpperCase' does not exist on type 'number'. /** @type {(content: string | number) => string} */ const g = @@ -30,4 +37,7 @@ a.js(9,7): error TS2322: Type '(content: string) => string' is not assignable to !!! error TS2322: Type 'number' is not assignable to type 'string'. /** @type {(content: string) => string} */ (content) => content.toUpperCase(); + ~~~~~~~~~~~ +!!! error TS2339: Property 'toUpperCase' does not exist on type 'string | number'. +!!! error TS2339: Property 'toUpperCase' does not exist on type 'number'. \ No newline at end of file diff --git a/tsc/testdata/baselines/reference/compiler/jsdocTypeTagOnContextuallyTypedFunction.symbols b/tsc/testdata/baselines/reference/compiler/jsdocTypeTagOnContextuallyTypedFunction.symbols index 15ffe15bb65e2..17ba749362f25 100644 --- a/tsc/testdata/baselines/reference/compiler/jsdocTypeTagOnContextuallyTypedFunction.symbols +++ b/tsc/testdata/baselines/reference/compiler/jsdocTypeTagOnContextuallyTypedFunction.symbols @@ -16,12 +16,10 @@ context.f = (content, ...rest) => content.toUpperCase() + rest.length; >content : Symbol(content, Decl(a.js, 5, 5)) >rest : Symbol(rest, Decl(a.js, 5, 13)) ->content.toUpperCase : Symbol(String.toUpperCase, Decl(lib.es5.d.ts, --, --)) >content : Symbol(content, Decl(a.js, 5, 5)) ->toUpperCase : Symbol(String.toUpperCase, Decl(lib.es5.d.ts, --, --)) ->rest.length : Symbol(length) +>rest.length : Symbol(Array.length, Decl(lib.es5.d.ts, --, --)) >rest : Symbol(rest, Decl(a.js, 5, 13)) ->length : Symbol(length) +>length : Symbol(Array.length, Decl(lib.es5.d.ts, --, --)) /** @type {(content: string | number) => string} */ const g = @@ -30,7 +28,5 @@ const g = /** @type {(content: string) => string} */ (content) => content.toUpperCase(); >content : Symbol(content, Decl(a.js, 10, 5)) ->content.toUpperCase : Symbol(String.toUpperCase, Decl(lib.es5.d.ts, --, --)) >content : Symbol(content, Decl(a.js, 10, 5)) ->toUpperCase : Symbol(String.toUpperCase, Decl(lib.es5.d.ts, --, --)) diff --git a/tsc/testdata/baselines/reference/compiler/jsdocTypeTagOnContextuallyTypedFunction.types b/tsc/testdata/baselines/reference/compiler/jsdocTypeTagOnContextuallyTypedFunction.types index 6defe743de587..7511697864aa1 100644 --- a/tsc/testdata/baselines/reference/compiler/jsdocTypeTagOnContextuallyTypedFunction.types +++ b/tsc/testdata/baselines/reference/compiler/jsdocTypeTagOnContextuallyTypedFunction.types @@ -19,16 +19,16 @@ context.f = /** @type {(content: string, ...rest: [boolean?]) => string} */ (content, ...rest) => content.toUpperCase() + rest.length; >(content, ...rest) => content.toUpperCase() + rest.length : (content: string, rest_0?: boolean | undefined) => string ->content : string ->rest : [(boolean | undefined)?] ->content.toUpperCase() + rest.length : string ->content.toUpperCase() : string ->content.toUpperCase : () => string ->content : string ->toUpperCase : () => string ->rest.length : 0 | 1 ->rest : [(boolean | undefined)?] ->length : 0 | 1 +>content : string | number +>rest : unknown[] +>content.toUpperCase() + rest.length : any +>content.toUpperCase() : any +>content.toUpperCase : any +>content : string | number +>toUpperCase : any +>rest.length : number +>rest : unknown[] +>length : number /** @type {(content: string | number) => string} */ const g = @@ -37,9 +37,9 @@ const g = /** @type {(content: string) => string} */ (content) => content.toUpperCase(); >(content) => content.toUpperCase() : (content: string) => string ->content : string ->content.toUpperCase() : string ->content.toUpperCase : () => string ->content : string ->toUpperCase : () => string +>content : string | number +>content.toUpperCase() : any +>content.toUpperCase : any +>content : string | number +>toUpperCase : any diff --git a/tsc/testdata/baselines/reference/compiler/overloadresolutionWithConstraintCheckingDeferred(checkorder=typesfirst).errors.txt b/tsc/testdata/baselines/reference/compiler/overloadresolutionWithConstraintCheckingDeferred(checkorder=typesfirst).errors.txt index e93dbcc6cad6b..47be7df4a2a28 100644 --- a/tsc/testdata/baselines/reference/compiler/overloadresolutionWithConstraintCheckingDeferred(checkorder=typesfirst).errors.txt +++ b/tsc/testdata/baselines/reference/compiler/overloadresolutionWithConstraintCheckingDeferred(checkorder=typesfirst).errors.txt @@ -15,10 +15,11 @@ overloadresolutionWithConstraintCheckingDeferred.ts(18,27): error TS2769: No ove Argument of type '(x: D) => G' is not assignable to parameter of type '(x: B) => any'. Types of parameters 'x' and 'x' are incompatible. Property 'q' is missing in type 'B' but required in type 'D'. +overloadresolutionWithConstraintCheckingDeferred.ts(19,14): error TS2741: Property 'x' is missing in type 'D' but required in type 'A'. overloadresolutionWithConstraintCheckingDeferred.ts(19,32): error TS2741: Property 'x' is missing in type 'D' but required in type 'A'. -==== overloadresolutionWithConstraintCheckingDeferred.ts (6 errors) ==== +==== overloadresolutionWithConstraintCheckingDeferred.ts (7 errors) ==== interface A { x } interface B { x; y } interface C { z } @@ -68,6 +69,9 @@ overloadresolutionWithConstraintCheckingDeferred.ts(19,32): error TS2741: Proper !!! related TS2728 overloadresolutionWithConstraintCheckingDeferred.ts:4:15: 'q' is declared here. !!! related TS2771 overloadresolutionWithConstraintCheckingDeferred.ts:12:18: The last overload is declared here. var y: G = new G(x); // error that D does not satisfy constraint, y is of type G, entire call to foo is an error + ~~~~~~~~ +!!! error TS2741: Property 'x' is missing in type 'D' but required in type 'A'. +!!! related TS2728 overloadresolutionWithConstraintCheckingDeferred.ts:1:15: 'x' is declared here. ~ !!! error TS2741: Property 'x' is missing in type 'D' but required in type 'A'. !!! related TS2728 overloadresolutionWithConstraintCheckingDeferred.ts:1:15: 'x' is declared here. diff --git a/tsc/testdata/baselines/reference/compiler/overloadresolutionWithConstraintCheckingDeferred(checkorder=typesfirst).types b/tsc/testdata/baselines/reference/compiler/overloadresolutionWithConstraintCheckingDeferred(checkorder=typesfirst).types index 7eb08e3ac8acb..df9ec39e7e837 100644 --- a/tsc/testdata/baselines/reference/compiler/overloadresolutionWithConstraintCheckingDeferred(checkorder=typesfirst).types +++ b/tsc/testdata/baselines/reference/compiler/overloadresolutionWithConstraintCheckingDeferred(checkorder=typesfirst).types @@ -44,7 +44,7 @@ var result: number = foo(x => new G(x)); // x has type D, new G(x) fails, so fir >x : D >new G(x) : G >G : typeof G ->x : any +>x : D var result2: number = foo(x => new G(x)); // x has type D, new G(x) fails, so first overload is picked. >result2 : number @@ -55,7 +55,7 @@ var result2: number = foo(x => new G(x)); // x has type D, new G(x) fa >new G(x) : G >G : typeof G >x : D ->x : any +>x : D var result3: string = foo(x => { // x has type D >result3 : string @@ -72,7 +72,7 @@ var result3: string = foo(x => { // x has type D >x : D return y; ->y : G +>y : G }); diff --git a/tsc/testdata/baselines/reference/tsc/generateTrace/generateTrace-with-multiple-files-and-complex-types.js b/tsc/testdata/baselines/reference/tsc/generateTrace/generateTrace-with-multiple-files-and-complex-types.js index 21aa78f4efbca..82c5dfd663ad6 100644 --- a/tsc/testdata/baselines/reference/tsc/generateTrace/generateTrace-with-multiple-files-and-complex-types.js +++ b/tsc/testdata/baselines/reference/tsc/generateTrace/generateTrace-with-multiple-files-and-complex-types.js @@ -212,12 +212,12 @@ declare const console: { log(msg: any): void; }; {"id":102,"symbolName":"map","recursionId":92,"firstDeclaration":{"path":"/home/src/workspaces/project/types.ts","start":{"line":3,"character":5},"end":{"line":3,"character":43}},"flags":["Object"],"display":"(fn: (x: T) => U) => Container"}, {"id":103,"symbolName":"map","recursionId":92,"firstDeclaration":{"path":"/home/src/workspaces/project/types.ts","start":{"line":3,"character":5},"end":{"line":3,"character":43}},"flags":["Object"],"display":"(fn: (x: number) => U) => Container"}, {"id":104,"symbolName":"U","recursionId":84,"firstDeclaration":{"path":"/home/src/workspaces/project/types.ts","start":{"line":3,"character":9},"end":{"line":3,"character":10}},"flags":["TypeParameter"]}, -{"id":105,"symbolName":"__function","recursionId":93,"firstDeclaration":{"path":"/home/src/workspaces/project/main.ts","start":{"line":2,"character":48},"end":{"line":2,"character":87}},"flags":["Object"],"display":"(fn: (x: number) => U) => { value: U; map: (fn: (x: number) => U) => Container; }"}, -{"id":106,"symbolName":"__type","recursionId":85,"firstDeclaration":{"path":"/home/src/workspaces/project/types.ts","start":{"line":3,"character":16},"end":{"line":3,"character":27}},"flags":["Object"],"display":"(x: number) => U"}, -{"id":107,"symbolName":"Container","recursionId":83,"instantiatedType":91,"typeArguments":[104],"firstDeclaration":{"path":"/home/src/workspaces/project/types.ts","start":{"line":1,"character":1},"end":{"line":4,"character":2}},"flags":["Object"]}, -{"id":108,"symbolName":"map","recursionId":92,"firstDeclaration":{"path":"/home/src/workspaces/project/types.ts","start":{"line":3,"character":5},"end":{"line":3,"character":43}},"flags":["Object"],"display":"(fn: (x: U) => U) => Container"}, +{"id":105,"symbolName":"__type","recursionId":85,"firstDeclaration":{"path":"/home/src/workspaces/project/types.ts","start":{"line":3,"character":16},"end":{"line":3,"character":27}},"flags":["Object"],"display":"(x: number) => U"}, +{"id":106,"symbolName":"Container","recursionId":83,"instantiatedType":91,"typeArguments":[104],"firstDeclaration":{"path":"/home/src/workspaces/project/types.ts","start":{"line":1,"character":1},"end":{"line":4,"character":2}},"flags":["Object"]}, +{"id":107,"symbolName":"map","recursionId":92,"firstDeclaration":{"path":"/home/src/workspaces/project/types.ts","start":{"line":3,"character":5},"end":{"line":3,"character":43}},"flags":["Object"],"display":"(fn: (x: U) => U) => Container"}, +{"id":108,"symbolName":"__object","recursionId":93,"firstDeclaration":{"path":"/home/src/workspaces/project/main.ts","start":{"line":2,"character":57},"end":{"line":2,"character":86}},"flags":["Object"],"display":"{ value: U; map: (fn: (x: number) => U) => Container; }"}, {"id":109,"symbolName":"__object","recursionId":94,"firstDeclaration":{"path":"/home/src/workspaces/project/main.ts","start":{"line":2,"character":57},"end":{"line":2,"character":86}},"flags":["Object"],"display":"{ value: U; map: (fn: (x: number) => U) => Container; }"}, -{"id":110,"symbolName":"__object","recursionId":95,"firstDeclaration":{"path":"/home/src/workspaces/project/main.ts","start":{"line":2,"character":57},"end":{"line":2,"character":86}},"flags":["Object"],"display":"{ value: U; map: (fn: (x: number) => U) => Container; }"}, +{"id":110,"symbolName":"__function","recursionId":95,"firstDeclaration":{"path":"/home/src/workspaces/project/main.ts","start":{"line":2,"character":48},"end":{"line":2,"character":87}},"flags":["Object"],"display":"(fn: (x: number) => U) => { value: U; map: (fn: (x: number) => U) => Container; }"}, {"id":111,"symbolName":"__object","recursionId":96,"firstDeclaration":{"path":"/home/src/workspaces/project/main.ts","start":{"line":2,"character":30},"end":{"line":2,"character":89}},"flags":["Object"],"display":"{ value: number; map: (fn: (x: number) => U) => { value: U; map: (fn: (x: number) => U) => Container; }; }"}, {"id":112,"symbolName":"U","recursionId":84,"firstDeclaration":{"path":"/home/src/workspaces/project/types.ts","start":{"line":3,"character":9},"end":{"line":3,"character":10}},"flags":["TypeParameter"]}, {"id":113,"symbolName":"__type","recursionId":85,"firstDeclaration":{"path":"/home/src/workspaces/project/types.ts","start":{"line":3,"character":16},"end":{"line":3,"character":27}},"flags":["Object"],"display":"(x: number) => any"}, From 97108f961c52124741d42bbca55a7ca99fbcc6a4 Mon Sep 17 00:00:00 2001 From: Jake Bailey <5341706+jakebailey@users.noreply.github.com> Date: Mon, 19 Oct 2026 05:15:56 -0700 Subject: [PATCH 05/13] Resolve calls in source order and locate their errors at the call Generic calls nested in the arguments of other generic calls, or in context-sensitive functions passed to them, depend on the enclosing call for their contextual type and parameter types, and the enclosing call infers from them in turn. When the inner call was queried first, it was already marked as resolving by the time its contextual type resolved the enclosing call, so the enclosing inference saw a placeholder and both calls cached results that a check in source order never produces. Computing the contextual type of a call nested in an argument of an enclosing call before resolving it resolves the enclosing call first, as source order does. Other contexts are not resolved ahead of time, since computing them may evaluate expressions that checking does not, such as the target of a destructuring assignment. Resolving a call's signature can also be requested while checking one of its arguments. Errors that resolution reports at the current node, such as an instantiation depth error, were located at whichever node asked first, so checking an argument ahead of its call moved the error onto the argument. Resolution is now located at the call. --- tsc/internal/checker/checker.go | 69 +++++++++++++++++++ ...eNoCrash(checkorder=typesfirst).errors.txt | 7 +- ...Callback(checkorder=typesfirst).errors.txt | 24 ------- ...tternCallback(checkorder=typesfirst).types | 18 ++--- ...ceNotTooBroad(checkorder=typesfirst).types | 16 ++--- 5 files changed, 90 insertions(+), 44 deletions(-) delete mode 100644 tsc/testdata/baselines/reference/compiler/contextualReturnArrayPatternCallback(checkorder=typesfirst).errors.txt diff --git a/tsc/internal/checker/checker.go b/tsc/internal/checker/checker.go index 3602ce17ebc84..f046fb33b41cf 100644 --- a/tsc/internal/checker/checker.go +++ b/tsc/internal/checker/checker.go @@ -8626,6 +8626,50 @@ func (c *Checker) isSymbolOrSymbolForCall(node *ast.Node) bool { return globalESSymbol == c.resolveName(left, "Symbol", ast.SymbolFlagsValue, nil /*nameNotFoundMessage*/, false /*isUse*/, false) } +// isContextuallyTypedByEnclosingCall reports whether the contextual type of +// an expression may come from an argument of an enclosing call. Other +// contexts are not resolved ahead of the expression, since computing them +// may evaluate expressions that checking only evaluates otherwise, such as +// the target of a destructuring assignment. +func isContextuallyTypedByEnclosingCall(node *ast.Node) bool { + for { + parent := node.Parent + switch parent.Kind { + case ast.KindCallExpression, ast.KindNewExpression: + return node != parent.Expression() + case ast.KindParenthesizedExpression, ast.KindSpreadElement, ast.KindArrayLiteralExpression, + ast.KindObjectLiteralExpression, ast.KindPropertyAssignment, ast.KindAwaitExpression: + node = parent + continue + case ast.KindConditionalExpression: + if node == parent.AsConditionalExpression().Condition { + return false + } + case ast.KindBinaryExpression: + switch parent.AsBinaryExpression().OperatorToken.Kind { + case ast.KindBarBarToken, ast.KindAmpersandAmpersandToken, ast.KindQuestionQuestionToken, ast.KindCommaToken: + if node != parent.AsBinaryExpression().Right { + return false + } + default: + return false + } + case ast.KindArrowFunction: + if node != parent.Body() { + return false + } + case ast.KindReturnStatement: + parent = ast.GetContainingFunction(parent) + if parent == nil || !ast.IsFunctionExpressionOrArrowFunction(parent) { + return false + } + default: + return false + } + node = parent + } +} + /** * Resolve a signature of a given call-like expression. * @param node a call-like expression to try resolve a signature for @@ -8634,6 +8678,17 @@ func (c *Checker) isSymbolOrSymbolForCall(node *ast.Node) bool { * @return a signature of the call-like expression or undefined if one can't be found */ func (c *Checker) getResolvedSignature(node *ast.Node, candidatesOutArray *[]*Signature, checkMode CheckMode) *Signature { + // Resolution is located at the call however it was requested, such as + // from contextually typing an argument, so that errors it reports at the + // current node do not depend on which was checked first. + saveCurrentNode := c.currentNode + c.currentNode = node + result := c.resolveSignatureOfCall(node, candidatesOutArray, checkMode) + c.currentNode = saveCurrentNode + return result +} + +func (c *Checker) resolveSignatureOfCall(node *ast.Node, candidatesOutArray *[]*Signature, checkMode CheckMode) *Signature { links := c.signatureLinks.Get(node) // If getResolvedSignature has already been called, we will have cached the resolvedSignature. // However, it is possible that either candidatesOutArray was not passed in the first time, @@ -8643,6 +8698,20 @@ func (c *Checker) getResolvedSignature(node *ast.Node, candidatesOutArray *[]*Si if cached != nil && cached != c.resolvingSignature && candidatesOutArray == nil { return cached } + if cached == nil { + // Resolve an enclosing call providing the contextual type of this one + // first, as checking in source order would. The enclosing call may also + // type parameters this call references. Resolved from within this call + // instead, the enclosing call sees this one marked as resolving, and + // the result depends on which call was queried first. + if (ast.IsCallExpression(node) || ast.IsNewExpression(node)) && isContextuallyTypedByEnclosingCall(node) { + c.getContextualType(node, ContextFlagsNone) + } + cached = links.resolvedSignature + if cached != nil && cached != c.resolvingSignature && candidatesOutArray == nil { + return cached + } + } saveResolutionStart := c.resolutionStart if cached == nil { // If we haven't already done so, temporarily reset the resolution stack. This allows us to diff --git a/tsc/testdata/baselines/reference/compiler/circularInlineMappedGenericTupleTypeNoCrash(checkorder=typesfirst).errors.txt b/tsc/testdata/baselines/reference/compiler/circularInlineMappedGenericTupleTypeNoCrash(checkorder=typesfirst).errors.txt index e78f397fc931f..8d568d19a5373 100644 --- a/tsc/testdata/baselines/reference/compiler/circularInlineMappedGenericTupleTypeNoCrash(checkorder=typesfirst).errors.txt +++ b/tsc/testdata/baselines/reference/compiler/circularInlineMappedGenericTupleTypeNoCrash(checkorder=typesfirst).errors.txt @@ -1,8 +1,7 @@ -error TS2589: Type instantiation is excessively deep and possibly infinite. +circularInlineMappedGenericTupleTypeNoCrash.ts(11,12): error TS2589: Type instantiation is excessively deep and possibly infinite. -!!! error TS2589: Type instantiation is excessively deep and possibly infinite. -==== circularInlineMappedGenericTupleTypeNoCrash.ts (0 errors) ==== +==== circularInlineMappedGenericTupleTypeNoCrash.ts (1 errors) ==== class Foo { public readonly elements: { [P in keyof Elements]: { bar: Elements[P] } }; @@ -14,6 +13,8 @@ error TS2589: Type instantiation is excessively deep and possibly infinite. public add(): Foo<[...Elements, "abc"]> { return new Foo<[...Elements, "abc"]>(...this.elements, { bar: "abc" }); + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +!!! error TS2589: Type instantiation is excessively deep and possibly infinite. } } \ No newline at end of file diff --git a/tsc/testdata/baselines/reference/compiler/contextualReturnArrayPatternCallback(checkorder=typesfirst).errors.txt b/tsc/testdata/baselines/reference/compiler/contextualReturnArrayPatternCallback(checkorder=typesfirst).errors.txt deleted file mode 100644 index 0976f43f81f01..0000000000000 --- a/tsc/testdata/baselines/reference/compiler/contextualReturnArrayPatternCallback(checkorder=typesfirst).errors.txt +++ /dev/null @@ -1,24 +0,0 @@ -contextualReturnArrayPatternCallback.ts(13,19): error TS2322: Type 'unknown' is not assignable to type 'string'. - - -==== contextualReturnArrayPatternCallback.ts (1 errors) ==== - interface Matcher { - matcher(): { match(value: Input): boolean; value?: Value }; - } - type Pattern = Input | Matcher | { [Key in keyof Input]?: Pattern }; - type ArrayElement = Input extends readonly (infer Value)[] ? Value : unknown; - declare function array>>(value: Value): Matcher; - declare function when unknown>(callback: Callback): Matcher; - declare function accept>(value: Value): void; - - accept({ - list: array({ - prop: when(value => { - const text: string = value; - ~~~~ -!!! error TS2322: Type 'unknown' is not assignable to type 'string'. - return true; - }), - }), - }); - \ No newline at end of file diff --git a/tsc/testdata/baselines/reference/compiler/contextualReturnArrayPatternCallback(checkorder=typesfirst).types b/tsc/testdata/baselines/reference/compiler/contextualReturnArrayPatternCallback(checkorder=typesfirst).types index 68eb717e1e135..8ae0e4c69acc3 100644 --- a/tsc/testdata/baselines/reference/compiler/contextualReturnArrayPatternCallback(checkorder=typesfirst).types +++ b/tsc/testdata/baselines/reference/compiler/contextualReturnArrayPatternCallback(checkorder=typesfirst).types @@ -32,24 +32,24 @@ declare function accept>(val accept({ >accept({ list: array({ prop: when(value => { const text: string = value; return true; }), }),}) : void >accept : >(value: Value) => void ->{ list: array({ prop: when(value => { const text: string = value; return true; }), }),} : { list: Matcher<{ prop: string; }[], { prop: Matcher; }>; } +>{ list: array({ prop: when(value => { const text: string = value; return true; }), }),} : { list: Matcher<{ prop: string; }[], { prop: Matcher; }>; } list: array({ ->list : Matcher<{ prop: string; }[], { prop: Matcher; }> ->array({ prop: when(value => { const text: string = value; return true; }), }) : Matcher<{ prop: string; }[], { prop: Matcher; }> +>list : Matcher<{ prop: string; }[], { prop: Matcher; }> +>array({ prop: when(value => { const text: string = value; return true; }), }) : Matcher<{ prop: string; }[], { prop: Matcher; }> >array : >>(value: Value) => Matcher ->{ prop: when(value => { const text: string = value; return true; }), } : { prop: Matcher; } +>{ prop: when(value => { const text: string = value; return true; }), } : { prop: Matcher; } prop: when(value => { ->prop : Matcher ->when(value => { const text: string = value; return true; }) : Matcher +>prop : Matcher +>when(value => { const text: string = value; return true; }) : Matcher >when : unknown>(callback: Callback) => Matcher ->value => { const text: string = value; return true; } : (value: unknown) => boolean ->value : unknown +>value => { const text: string = value; return true; } : (value: string) => boolean +>value : string const text: string = value; >text : string ->value : unknown +>value : string return true; >true : true diff --git a/tsc/testdata/baselines/reference/compiler/returnTypeInferenceNotTooBroad(checkorder=typesfirst).types b/tsc/testdata/baselines/reference/compiler/returnTypeInferenceNotTooBroad(checkorder=typesfirst).types index 1f07d04ed8463..94962df020556 100644 --- a/tsc/testdata/baselines/reference/compiler/returnTypeInferenceNotTooBroad(checkorder=typesfirst).types +++ b/tsc/testdata/baselines/reference/compiler/returnTypeInferenceNotTooBroad(checkorder=typesfirst).types @@ -50,18 +50,18 @@ export const yun = unwrap(y); // $ExpectType { kind: "a"; a: 3; } export const yone = unwrap(sepsis({ low: 1, sign: { kind: 'a', a: 3 }})); ->yone : { kind: string; a: number; } ->unwrap(sepsis({ low: 1, sign: { kind: 'a', a: 3 }})) : { kind: string; a: number; } +>yone : { kind: "a"; a: 3; } +>unwrap(sepsis({ low: 1, sign: { kind: 'a', a: 3 }})) : { kind: "a"; a: 3; } >unwrap : (w: Wrapper) => T ->sepsis({ low: 1, sign: { kind: 'a', a: 3 }}) : Wrapper<{ kind: string; a: number; }> +>sepsis({ low: 1, sign: { kind: 'a', a: 3 }}) : Wrapper<{ kind: "a"; a: 3; }> >sepsis : (opts: Opts) => Wrapper ->{ low: 1, sign: { kind: 'a', a: 3 }} : { low: number; sign: { kind: string; a: number; }; } +>{ low: 1, sign: { kind: 'a', a: 3 }} : { low: number; sign: { kind: "a"; a: 3; }; } >low : number >1 : 1 ->sign : { kind: string; a: number; } ->{ kind: 'a', a: 3 } : { kind: string; a: number; } ->kind : string +>sign : { kind: "a"; a: 3; } +>{ kind: 'a', a: 3 } : { kind: "a"; a: 3; } +>kind : "a" >'a' : "a" ->a : number +>a : 3 >3 : 3 From db99b0a917e7abe031b9a0835173abecd481e5df Mon Sep 17 00:00:00 2001 From: Jake Bailey <5341706+jakebailey@users.noreply.github.com> Date: Mon, 19 Oct 2026 05:18:04 -0700 Subject: [PATCH 06/13] Do not cache results that depend on who asked first Asking for the symbol of a property access that hits an index signature stored the index symbol as the access's resolved symbol. Checking a delete expression reads that link to decide whether the operand must be optional, so a prior symbol query turned `delete a.x` on an index signature into an error that a plain check does not report. The type of the index symbol at such an access, which hovers show, now looks the index symbol up again rather than reading it from links. A single signature type produced by higher order inference is instantiated with the full mapper combined in, since its signature can reference type parameters other than the outer type parameters of its declaration. The instantiation cache was keyed only by the mapped outer type parameters, so two instantiations differing in another type parameter (here the this type) shared whichever result was computed first, and checking `outer.log` gave it the type of `inner.log`. Such instantiations are no longer cached. --- tsc/internal/checker/checker.go | 47 +++++++++++++------ ...ckorder=typesfirst,strict=true).errors.txt | 8 +--- ...acheReuseAfterMappedTypeApplication1.types | 8 ++-- 3 files changed, 38 insertions(+), 25 deletions(-) diff --git a/tsc/internal/checker/checker.go b/tsc/internal/checker/checker.go index f046fb33b41cf..57140442e4dc6 100644 --- a/tsc/internal/checker/checker.go +++ b/tsc/internal/checker/checker.go @@ -17016,7 +17016,7 @@ func (c *Checker) GetTypeOfSymbolAtLocation(symbol *ast.Symbol, location *ast.No } else { t = c.getTypeOfExpression(location) } - if c.getExportSymbolOfValueSymbolIfExported(c.symbolNodeLinks.Get(location).resolvedSymbol) == symbol { + if c.getExportSymbolOfValueSymbolIfExported(c.resolvedSymbolAtLocation(location, symbol)) == symbol { return c.removeOptionalTypeMarker(t) } } @@ -17036,6 +17036,18 @@ func (c *Checker) GetTypeOfSymbolAtLocation(symbol *ast.Symbol, location *ast.No return c.getNonMissingTypeOfSymbol(symbol) } +// resolvedSymbolAtLocation returns the symbol that the checked expression at +// location resolved to. Index symbols are not cached in links (see +// getSymbolOfNameOrPropertyAccessExpression), so an access that resolved to +// none is matched against the index signature it would use. +func (c *Checker) resolvedSymbolAtLocation(location *ast.Node, symbol *ast.Symbol) *ast.Symbol { + resolved := c.symbolNodeLinks.Get(location).resolvedSymbol + if resolved == nil && symbol.CheckFlags()&ast.CheckFlagsIndexSymbol != 0 && ast.IsPropertyAccessExpression(location) && !ast.IsPrivateIdentifier(location.Name()) { + resolved = c.getApplicableIndexSymbol(c.checkExpressionCached(location.Expression()), c.getLiteralTypeFromPropertyName(location.Name())) + } + return resolved +} + func (c *Checker) getTypeOfSymbol(symbol *ast.Symbol) *Type { if symbol.CheckFlags()&ast.CheckFlagsDeferredType != 0 { return c.getTypeOfSymbolWithDeferredType(symbol) @@ -23191,6 +23203,22 @@ func (c *Checker) getObjectTypeInstantiation(t *Type, m *TypeMapper, alias *Type if newAlias == nil { newAlias = c.instantiateTypeAlias(t.alias, m) } + instantiate := func(newMapper *TypeMapper) *Type { + switch { + case target.objectFlags&ObjectFlagsReference != 0: + return c.createDeferredTypeReference(t.Target(), t.AsTypeReference().node, newMapper, newAlias) + case target.objectFlags&ObjectFlagsMapped != 0: + return c.instantiateMappedType(target, newMapper, newAlias) + default: + return c.instantiateAnonymousType(target, newMapper, newAlias) + } + } + if target.objectFlags&ObjectFlagsSingleSignatureType != 0 && m != nil { + // The signature may reference type parameters other than the outer + // type parameters of its declaration, so the instantiation is not + // determined by the type arguments and cannot be cached by them. + return instantiate(c.combineTypeMappers(newTypeMapper(typeParameters, typeArguments), m)) + } data := target.AsObjectType() key := getTypeInstantiationKey(typeArguments, newAlias, t.objectFlags&ObjectFlagsSingleSignatureType != 0) if data.instantiations == nil { @@ -23199,18 +23227,7 @@ func (c *Checker) getObjectTypeInstantiation(t *Type, m *TypeMapper, alias *Type } result := data.instantiations[key] if result == nil { - newMapper := newTypeMapper(typeParameters, typeArguments) - if target.objectFlags&ObjectFlagsSingleSignatureType != 0 && m != nil { - newMapper = c.combineTypeMappers(newMapper, m) - } - switch { - case target.objectFlags&ObjectFlagsReference != 0: - result = c.createDeferredTypeReference(t.Target(), t.AsTypeReference().node, newMapper, newAlias) - case target.objectFlags&ObjectFlagsMapped != 0: - result = c.instantiateMappedType(target, newMapper, newAlias) - default: - result = c.instantiateAnonymousType(target, newMapper, newAlias) - } + result = instantiate(newTypeMapper(typeParameters, typeArguments)) data.instantiations[key] = result if result.flags&TypeFlagsObjectFlagsType != 0 && result.objectFlags&ObjectFlagsCouldContainTypeVariablesComputed == 0 { // if `result` is one of the object types we tried to make (it may not be, due to how `instantiateMappedType` works), we can carry forward the type variable containment check from the input type arguments @@ -32826,7 +32843,9 @@ func (c *Checker) getSymbolOfNameOrPropertyAccessExpression(name *ast.Node) *ast if ast.IsPropertyAccessExpression(name) { c.checkPropertyAccessExpression(name, CheckModeNormal, false /*writeOnly*/) if links.resolvedSymbol == nil && !ast.IsPrivateIdentifier(name.Name()) { - links.resolvedSymbol = c.getApplicableIndexSymbol( + // Not cached in links, where checking would observe it as the + // property the access resolved to. + return c.getApplicableIndexSymbol( c.checkExpressionCached(name.Expression()), c.getLiteralTypeFromPropertyName(name.Name()), ) diff --git a/tsc/testdata/baselines/reference/compiler/deleteExpressionMustBeOptional(checkorder=typesfirst,strict=true).errors.txt b/tsc/testdata/baselines/reference/compiler/deleteExpressionMustBeOptional(checkorder=typesfirst,strict=true).errors.txt index d3c1fd53cc93f..f3abcf0386f5b 100644 --- a/tsc/testdata/baselines/reference/compiler/deleteExpressionMustBeOptional(checkorder=typesfirst,strict=true).errors.txt +++ b/tsc/testdata/baselines/reference/compiler/deleteExpressionMustBeOptional(checkorder=typesfirst,strict=true).errors.txt @@ -1,11 +1,9 @@ deleteExpressionMustBeOptional.ts(25,8): error TS2790: The operand of a 'delete' operator must be optional. deleteExpressionMustBeOptional.ts(27,8): error TS2790: The operand of a 'delete' operator must be optional. deleteExpressionMustBeOptional.ts(34,10): error TS2339: Property 'j' does not exist on type 'Foo'. -deleteExpressionMustBeOptional.ts(36,8): error TS2790: The operand of a 'delete' operator must be optional. -deleteExpressionMustBeOptional.ts(37,8): error TS2790: The operand of a 'delete' operator must be optional. -==== deleteExpressionMustBeOptional.ts (5 errors) ==== +==== deleteExpressionMustBeOptional.ts (3 errors) ==== interface Foo { a: number b: number | undefined @@ -48,11 +46,7 @@ deleteExpressionMustBeOptional.ts(37,8): error TS2790: The operand of a 'delete' !!! error TS2339: Property 'j' does not exist on type 'Foo'. delete a.a - ~~~ -!!! error TS2790: The operand of a 'delete' operator must be optional. delete a.b - ~~~ -!!! error TS2790: The operand of a 'delete' operator must be optional. delete b.a delete b.b diff --git a/tsc/testdata/baselines/reference/compiler/genericCallInferenceUsingThisTypeNoInvalidCacheReuseAfterMappedTypeApplication1.types b/tsc/testdata/baselines/reference/compiler/genericCallInferenceUsingThisTypeNoInvalidCacheReuseAfterMappedTypeApplication1.types index c6a517dc1a0c3..63ccf34626aea 100644 --- a/tsc/testdata/baselines/reference/compiler/genericCallInferenceUsingThisTypeNoInvalidCacheReuseAfterMappedTypeApplication1.types +++ b/tsc/testdata/baselines/reference/compiler/genericCallInferenceUsingThisTypeNoInvalidCacheReuseAfterMappedTypeApplication1.types @@ -92,10 +92,10 @@ export const a = inner.log(100); // Effect<100, never, never> >100 : 100 export const b = outer.log(100); // Effect<100, never, XXX> ->b : Effect<100, never, never> ->outer.log(100) : Effect<100, never, never> ->outer.log : (n: N) => Effect +>b : Effect<100, never, XXX> +>outer.log(100) : Effect<100, never, XXX> +>outer.log : (n: N) => Effect >outer : ProxyMap ->log : (n: N) => Effect +>log : (n: N) => Effect >100 : 100 From 3e86d4c37f89a8f3240c624c86b102fd6c9b49ac Mon Sep 17 00:00:00 2001 From: Jake Bailey <5341706+jakebailey@users.noreply.github.com> Date: Mon, 19 Oct 2026 09:25:26 -0700 Subject: [PATCH 07/13] Report unresolved names after resolution completes Explaining why a name failed to resolve looks up other symbols, for example to find a spelling suggestion, and that can resolve aliases. When the failed name was the target of an alias, the suggestion lookup re-entered the alias being resolved, or skipped it, depending on which aliases were already in progress. In declarationEmitUnknownImport that decided whether two "Circular definition of import alias" errors were reported: they appeared when the import was checked first, and not when the export specifier was resolved first. Defer the explanation until no resolution is in progress, so it only observes finished results. The circularity errors that were artifacts of the suggestion lookup are no longer reported. --- tsc/internal/checker/checker.go | 11 +++++++++++ ...arationEmitUnknownImport(target=es2015).errors.txt | 10 ++-------- ...rationEmitUnknownImport2(target=es2015).errors.txt | 10 ++-------- ...FlakyDiagnosticsSpellingSuggestionOrder.errors.txt | 4 ++-- .../noFlakyDiagnosticsSpellingSuggestionOrder.types | 2 +- 5 files changed, 18 insertions(+), 19 deletions(-) diff --git a/tsc/internal/checker/checker.go b/tsc/internal/checker/checker.go index 57140442e4dc6..a9ef2ce710fc5 100644 --- a/tsc/internal/checker/checker.go +++ b/tsc/internal/checker/checker.go @@ -1642,6 +1642,17 @@ func (c *Checker) checkAndReportErrorForMissingPrefix(errorLocation *ast.Node, n } func (c *Checker) onFailedToResolveSymbol(errorLocation *ast.Node, name string, meaning ast.SymbolFlags, nameNotFoundMessage *diagnostics.Message) { + // Explaining the failure looks up other symbols, for example to suggest a + // spelling, which can resolve aliases. Doing that in the middle of the + // resolution that failed would make the explanation, and any circularity + // errors it causes, depend on what else happened to be in progress. Defer + // it until no resolution is in progress, so it only observes results. + c.addDeferredDiagnostic(func() { + c.reportFailedToResolveSymbol(errorLocation, name, meaning, nameNotFoundMessage) + }) +} + +func (c *Checker) reportFailedToResolveSymbol(errorLocation *ast.Node, name string, meaning ast.SymbolFlags, nameNotFoundMessage *diagnostics.Message) { // The `const` in a `const` assertion (`x as const`) is a syntactic marker, not a real // type reference, and must never be resolved or reported as an unresolvable name. if isConstTypeReferenceName(errorLocation) { diff --git a/tsc/testdata/baselines/reference/compiler/declarationEmitUnknownImport(target=es2015).errors.txt b/tsc/testdata/baselines/reference/compiler/declarationEmitUnknownImport(target=es2015).errors.txt index 1826289e03769..512f22fa8a9b6 100644 --- a/tsc/testdata/baselines/reference/compiler/declarationEmitUnknownImport(target=es2015).errors.txt +++ b/tsc/testdata/baselines/reference/compiler/declarationEmitUnknownImport(target=es2015).errors.txt @@ -1,17 +1,11 @@ -declarationEmitUnknownImport.ts(1,1): error TS2303: Circular definition of import alias 'Foo'. declarationEmitUnknownImport.ts(1,14): error TS2304: Cannot find name 'SomeNonExistingName'. declarationEmitUnknownImport.ts(1,14): error TS2503: Cannot find namespace 'SomeNonExistingName'. -declarationEmitUnknownImport.ts(2,9): error TS2303: Circular definition of import alias 'Foo'. -==== declarationEmitUnknownImport.ts (4 errors) ==== +==== declarationEmitUnknownImport.ts (2 errors) ==== import Foo = SomeNonExistingName - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ -!!! error TS2303: Circular definition of import alias 'Foo'. ~~~~~~~~~~~~~~~~~~~ !!! error TS2304: Cannot find name 'SomeNonExistingName'. ~~~~~~~~~~~~~~~~~~~ !!! error TS2503: Cannot find namespace 'SomeNonExistingName'. - export {Foo} - ~~~ -!!! error TS2303: Circular definition of import alias 'Foo'. \ No newline at end of file + export {Foo} \ No newline at end of file diff --git a/tsc/testdata/baselines/reference/compiler/declarationEmitUnknownImport2(target=es2015).errors.txt b/tsc/testdata/baselines/reference/compiler/declarationEmitUnknownImport2(target=es2015).errors.txt index f52b6fd9af9fc..07239f7d2748f 100644 --- a/tsc/testdata/baselines/reference/compiler/declarationEmitUnknownImport2(target=es2015).errors.txt +++ b/tsc/testdata/baselines/reference/compiler/declarationEmitUnknownImport2(target=es2015).errors.txt @@ -1,15 +1,11 @@ -declarationEmitUnknownImport2.ts(1,1): error TS2303: Circular definition of import alias 'Foo'. declarationEmitUnknownImport2.ts(1,12): error TS1005: '=' expected. declarationEmitUnknownImport2.ts(1,12): error TS2304: Cannot find name 'From'. declarationEmitUnknownImport2.ts(1,12): error TS2503: Cannot find namespace 'From'. declarationEmitUnknownImport2.ts(1,17): error TS1005: ';' expected. -declarationEmitUnknownImport2.ts(2,1): error TS2303: Circular definition of import alias 'Foo'. -==== declarationEmitUnknownImport2.ts (6 errors) ==== +==== declarationEmitUnknownImport2.ts (4 errors) ==== import Foo From './Foo'; // Syntax error - ~~~~~~~~~~~~~~~ -!!! error TS2303: Circular definition of import alias 'Foo'. ~~~~ !!! error TS1005: '=' expected. ~~~~ @@ -18,6 +14,4 @@ declarationEmitUnknownImport2.ts(2,1): error TS2303: Circular definition of impo !!! error TS2503: Cannot find namespace 'From'. ~~~~~~~ !!! error TS1005: ';' expected. - export default Foo - ~~~~~~~~~~~~~~~~~~ -!!! error TS2303: Circular definition of import alias 'Foo'. \ No newline at end of file + export default Foo \ No newline at end of file diff --git a/tsc/testdata/baselines/reference/compiler/noFlakyDiagnosticsSpellingSuggestionOrder.errors.txt b/tsc/testdata/baselines/reference/compiler/noFlakyDiagnosticsSpellingSuggestionOrder.errors.txt index d8667784e78ea..a0a32ab10d645 100644 --- a/tsc/testdata/baselines/reference/compiler/noFlakyDiagnosticsSpellingSuggestionOrder.errors.txt +++ b/tsc/testdata/baselines/reference/compiler/noFlakyDiagnosticsSpellingSuggestionOrder.errors.txt @@ -1,6 +1,6 @@ /main.ts(17,11): error TS2304: Cannot find name 'zz'. /main.ts(18,7): error TS2322: Type '{ pb: 0; readonly mb: 1; v: 0; }' is not assignable to type 'never'. -/main.ts(19,7): error TS2322: Type '{ v: 0; }' is not assignable to type 'never'. +/main.ts(19,7): error TS2322: Type '{ pa: 0; readonly ma: 1; v: 0; }' is not assignable to type 'never'. ==== /main.ts (3 errors) ==== @@ -28,7 +28,7 @@ !!! error TS2322: Type '{ pb: 0; readonly mb: 1; v: 0; }' is not assignable to type 'never'. const obsB: never = expand(); ~~~~ -!!! error TS2322: Type '{ v: 0; }' is not assignable to type 'never'. +!!! error TS2322: Type '{ pa: 0; readonly ma: 1; v: 0; }' is not assignable to type 'never'. ==== /ambient.d.ts (0 errors) ==== declare module "ma" { diff --git a/tsc/testdata/baselines/reference/compiler/noFlakyDiagnosticsSpellingSuggestionOrder.types b/tsc/testdata/baselines/reference/compiler/noFlakyDiagnosticsSpellingSuggestionOrder.types index 0c8a7c9521634..68af529e6dd8b 100644 --- a/tsc/testdata/baselines/reference/compiler/noFlakyDiagnosticsSpellingSuggestionOrder.types +++ b/tsc/testdata/baselines/reference/compiler/noFlakyDiagnosticsSpellingSuggestionOrder.types @@ -35,7 +35,7 @@ const obsA: never = expand(); const obsB: never = expand(); >obsB : never ->expand() : { v: 0; } +>expand() : { pa: 0; readonly ma: 1; v: 0; } >expand : () => { [K in keyof X]: X[K]; } >oxb : O From 2475fcdea86f8869c3fc810440e7a699bfe8d164 Mon Sep 17 00:00:00 2001 From: Jake Bailey <5341706+jakebailey@users.noreply.github.com> Date: Sun, 18 Oct 2026 20:58:18 -0700 Subject: [PATCH 08/13] Make flow analysis of a reference independent of other references When one reference hit the flow analysis depth limit, flow analysis was disabled for every later reference in the same function or module body, so the type of a reference depended on whether another reference in the body had been analyzed before it. Each reference now gives up only when its own analysis hits the limit. Shared flow node results are cached for the duration of one flow analysis, including incomplete results computed under a loop back edge. Once that loop's back edge has been exited and the loop label has a complete type, they are stale. Reusing them made a reference's type depend on which reference was analyzed first: in exhaustiveSwitchCheckCircularity, querying the reference inside the loop before the switch expression produced `never` instead of "bbb". An incomplete shared result is now reused only while the loop that was innermost when it was computed is still being analyzed. --- tsc/internal/checker/checker.go | 11 +- tsc/internal/checker/flow.go | 34 +- ...ckCircularity(checkorder=typesfirst).types | 2 +- .../compiler/largeControlFlowGraph.types | 4000 ++++++++--------- ...dNeverAfterLoopWithAndCondition.errors.txt | 6 +- 5 files changed, 2032 insertions(+), 2021 deletions(-) diff --git a/tsc/internal/checker/checker.go b/tsc/internal/checker/checker.go index a9ef2ce710fc5..c25f43f2bcac1 100644 --- a/tsc/internal/checker/checker.go +++ b/tsc/internal/checker/checker.go @@ -260,6 +260,7 @@ type FlowLoopKey struct { type FlowLoopInfo struct { key FlowLoopKey types []*Type + id uint64 } // InferenceFlags @@ -844,8 +845,8 @@ type Checker struct { flowLoopCache map[FlowLoopKey]*Type flowLoopStack []FlowLoopInfo sharedFlows []SharedFlow + flowLoopFrameCount uint64 antecedentTypes []*Type - flowAnalysisDisabled bool flowInvocationCount int flowTypeCache map[*ast.Node]*Type lastFlowNode *ast.FlowNode @@ -3867,13 +3868,7 @@ func (c *Checker) checkBlock(node *ast.Node) { if node.Kind == ast.KindBlock { c.checkGrammarStatementInAmbientContext(node) } - if ast.IsFunctionOrModuleBlock(node) { - saveFlowAnalysisDisabled := c.flowAnalysisDisabled - c.checkSourceElements(node.Statements()) - c.flowAnalysisDisabled = saveFlowAnalysisDisabled - } else { - c.checkSourceElements(node.Statements()) - } + c.checkSourceElements(node.Statements()) if node.Locals().Len() != 0 { c.registerForUnusedIdentifiersCheck(node) } diff --git a/tsc/internal/checker/flow.go b/tsc/internal/checker/flow.go index 05daef984819d..7ee926e0f48d5 100644 --- a/tsc/internal/checker/flow.go +++ b/tsc/internal/checker/flow.go @@ -35,6 +35,9 @@ func (c *Checker) newFlowType(t *Type, incomplete bool) FlowType { type SharedFlow struct { flow *ast.FlowNode flowType FlowType + // loopFrame is the flow loop stack frame that was on top when flowType was + // computed, or zero when the stack was empty. + loopFrame uint64 } type FlowState struct { @@ -79,9 +82,6 @@ func (c *Checker) getFlowTypeOfReference(reference *ast.Node, declaredType *Type } func (c *Checker) getFlowTypeOfReferenceEx(reference *ast.Node, declaredType *Type, initialType *Type, flowContainer *ast.Node, flowNode *ast.FlowNode) *Type { - if c.flowAnalysisDisabled { - return c.errorType - } if flowNode == nil { flowNode = getFlowNodeOfNode(reference) if flowNode == nil { @@ -117,11 +117,11 @@ func (c *Checker) getFlowTypeOfReferenceEx(reference *ast.Node, declaredType *Ty func (c *Checker) getTypeAtFlowNode(f *FlowState, flow *ast.FlowNode) FlowType { if f.depth == 2000 { // We have made 2000 recursive invocations. To avoid overflowing the call stack we report an error - // and disable further control flow analysis in the containing function or module body. + // and give up on this reference. Each reference hits the limit on its own, so its type does not depend + // on which other references were analyzed first. if tr := c.tracer; tr != nil { tr.Instant(tracing.PhaseCheckTypes, "getTypeAtFlowNode_DepthLimit", map[string]any{"depth": f.depth}) } - c.flowAnalysisDisabled = true c.reportFlowControlError(f.reference) return FlowType{t: c.errorType} } @@ -134,9 +134,13 @@ func (c *Checker) getTypeAtFlowNode(f *FlowState, flow *ast.FlowNode) FlowType { // the same getFlowTypeOfReference invocation. A node is considered shared when it is the // antecedent of more than one node. for i := f.sharedFlowStart; i < len(c.sharedFlows); i++ { - if c.sharedFlows[i].flow == flow { + // An incomplete type computed under a loop back edge that has since been + // exited reflects that loop's partial types, so it is no longer valid. + // Reusing it would make the result depend on which reference was + // analyzed first. + if s := &c.sharedFlows[i]; s.flow == flow && (!s.flowType.incomplete || c.isFlowLoopFrameActive(s.loopFrame)) { f.depth-- - return c.sharedFlows[i].flowType + return s.flowType } } sharedFlow = flow @@ -198,7 +202,7 @@ func (c *Checker) getTypeAtFlowNode(f *FlowState, flow *ast.FlowNode) FlowType { } if sharedFlow != nil { // Record visited node and the associated type in the cache. - c.sharedFlows = append(c.sharedFlows, SharedFlow{flow: sharedFlow, flowType: t}) + c.sharedFlows = append(c.sharedFlows, SharedFlow{flow: sharedFlow, flowType: t, loopFrame: c.currentFlowLoopFrame()}) } f.depth-- return t @@ -1322,6 +1326,17 @@ func (c *Checker) getUnionOrEvolvingArrayType(f *FlowState, types []*Type, subty return result } +func (c *Checker) currentFlowLoopFrame() uint64 { + if len(c.flowLoopStack) == 0 { + return 0 + } + return c.flowLoopStack[len(c.flowLoopStack)-1].id +} + +func (c *Checker) isFlowLoopFrameActive(id uint64) bool { + return id == 0 || slices.ContainsFunc(c.flowLoopStack, func(info FlowLoopInfo) bool { return info.id == id }) +} + func (c *Checker) getTypeAtFlowLoopLabel(f *FlowState, flow *ast.FlowNode) FlowType { if f.refKey.IsZero() { f.refKey = c.getFlowReferenceKey(f) @@ -1364,7 +1379,8 @@ func (c *Checker) getTypeAtFlowLoopLabel(f *FlowState, flow *ast.FlowNode) FlowT } else { // All but the first antecedent are the looping control flow paths that lead // back to the loop junction. We track these on the flow loop stack. - c.flowLoopStack = append(c.flowLoopStack, FlowLoopInfo{key: key, types: antecedentTypes}) + c.flowLoopFrameCount++ + c.flowLoopStack = append(c.flowLoopStack, FlowLoopInfo{key: key, types: antecedentTypes, id: c.flowLoopFrameCount}) saveFlowTypeCache := c.flowTypeCache c.flowTypeCache = nil flowType = c.getTypeAtFlowNode(f, list.Flow) diff --git a/tsc/testdata/baselines/reference/compiler/exhaustiveSwitchCheckCircularity(checkorder=typesfirst).types b/tsc/testdata/baselines/reference/compiler/exhaustiveSwitchCheckCircularity(checkorder=typesfirst).types index 651cd4a45a647..a7b44f6811ab9 100644 --- a/tsc/testdata/baselines/reference/compiler/exhaustiveSwitchCheckCircularity(checkorder=typesfirst).types +++ b/tsc/testdata/baselines/reference/compiler/exhaustiveSwitchCheckCircularity(checkorder=typesfirst).types @@ -36,7 +36,7 @@ function f() { else if (isNever(foo)) { // Error expected >isNever(foo) : boolean >isNever : (n: never) => boolean ->foo : never +>foo : "bbb" break; } diff --git a/tsc/testdata/baselines/reference/compiler/largeControlFlowGraph.types b/tsc/testdata/baselines/reference/compiler/largeControlFlowGraph.types index 3880df26550f7..9ed5668ae6c80 100644 --- a/tsc/testdata/baselines/reference/compiler/largeControlFlowGraph.types +++ b/tsc/testdata/baselines/reference/compiler/largeControlFlowGraph.types @@ -10,14000 +10,14000 @@ const data = []; data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 data[0] = 0; >data[0] = 0 : 0 >data[0] : any ->data : any +>data : any[] >0 : 0 >0 : 0 diff --git a/tsc/testdata/baselines/reference/compiler/narrowedNeverAfterLoopWithAndCondition.errors.txt b/tsc/testdata/baselines/reference/compiler/narrowedNeverAfterLoopWithAndCondition.errors.txt index 0ba88e426e409..dfe01f2eea345 100644 --- a/tsc/testdata/baselines/reference/compiler/narrowedNeverAfterLoopWithAndCondition.errors.txt +++ b/tsc/testdata/baselines/reference/compiler/narrowedNeverAfterLoopWithAndCondition.errors.txt @@ -1,4 +1,4 @@ -narrowedNeverAfterLoopWithAndCondition.ts(9,9): error TS2322: Type 'false' is not assignable to type 'never'. +narrowedNeverAfterLoopWithAndCondition.ts(9,19): error TS2339: Property 'last_ref' does not exist on type 'never'. narrowedNeverAfterLoopWithAndCondition.ts(17,19): error TS2339: Property 'last_ref' does not exist on type 'never'. @@ -12,8 +12,8 @@ narrowedNeverAfterLoopWithAndCondition.ts(17,19): error TS2339: Property 'last_r if (value_def) { while (x && y); value_def.last_ref = false; - ~~~~~~~~~~~~~~~~~~ -!!! error TS2322: Type 'false' is not assignable to type 'never'. + ~~~~~~~~ +!!! error TS2339: Property 'last_ref' does not exist on type 'never'. } } From 1f358deb2a25e31e07dc52920b9ceee88e0ef66f Mon Sep 17 00:00:00 2001 From: Jake Bailey <5341706+jakebailey@users.noreply.github.com> Date: Mon, 19 Oct 2026 09:35:28 -0700 Subject: [PATCH 09/13] Track computed property name cycles on the resolution stack A computed property name stored a placeholder type while its expression was checked, and returned the placeholder when re-entered. That kept the cycle off the resolution stack, so the computations in between did not fail, and the placeholder `{}` escaped into messages when checking entered through the property name, while `any` did when it entered through the variable it references. In blockScopedBindingUsedBeforeDef, the error read "Type '{}' cannot be used as an index type" or "Type 'any' ..." depending on what was checked first. Resolve computed property names on the resolution stack, failing with the error type on re-entry like other circular resolutions. --- tsc/internal/checker/checker.go | 14 ++++++++++++-- .../blockScopedBindingUsedBeforeDef.errors.txt | 12 ++++++------ 2 files changed, 18 insertions(+), 8 deletions(-) diff --git a/tsc/internal/checker/checker.go b/tsc/internal/checker/checker.go index c25f43f2bcac1..a57014f17da90 100644 --- a/tsc/internal/checker/checker.go +++ b/tsc/internal/checker/checker.go @@ -65,6 +65,7 @@ const ( TypeSystemPropertyNameWriteType TypeSystemPropertyNameInitializerIsUndefined TypeSystemPropertyNameAliasTarget + TypeSystemPropertyNameComputedPropertyName ) type TypeResolution struct { @@ -19416,6 +19417,8 @@ func (c *Checker) typeResolutionHasProperty(r *TypeResolution) bool { return c.valueSymbolLinks.Get(r.target.(*ast.Symbol)).getWriteType() != nil case TypeSystemPropertyNameAliasTarget: return c.aliasSymbolLinks.Get(r.target.(*ast.Symbol)).aliasTarget != nil + case TypeSystemPropertyNameComputedPropertyName: + return c.typeNodeLinks.Get(r.target.(*ast.Node)).resolvedType != nil } panic("Unhandled case in typeResolutionHasProperty") } @@ -27733,12 +27736,19 @@ func isInvalidComputedPropertyName(node *ast.Node) bool { func (c *Checker) checkComputedPropertyName(node *ast.Node) *Type { links := c.typeNodeLinks.Get(node) if links.resolvedType == nil { - links.resolvedType = c.circularConstraintType if isInvalidComputedPropertyName(node) { links.resolvedType = c.errorType return links.resolvedType } - links.resolvedType = c.checkExpression(node.Expression()) + if !c.pushTypeResolution(node, TypeSystemPropertyNameComputedPropertyName) { + return c.errorType + } + t := c.checkExpression(node.Expression()) + c.popTypeResolution() + if links.resolvedType != nil { + return links.resolvedType + } + links.resolvedType = t // This will allow types number, string, symbol or any. It will also allow enums, the unknown // type, and any union of these types (like string | number). if links.resolvedType.flags&TypeFlagsNullable != 0 || diff --git a/tsc/testdata/baselines/reference/compiler/blockScopedBindingUsedBeforeDef.errors.txt b/tsc/testdata/baselines/reference/compiler/blockScopedBindingUsedBeforeDef.errors.txt index 1be1808a2e8cc..4eb1fec342c35 100644 --- a/tsc/testdata/baselines/reference/compiler/blockScopedBindingUsedBeforeDef.errors.txt +++ b/tsc/testdata/baselines/reference/compiler/blockScopedBindingUsedBeforeDef.errors.txt @@ -1,9 +1,9 @@ blockScopedBindingUsedBeforeDef.ts(2,12): error TS2448: Block-scoped variable 'a' used before its declaration. -blockScopedBindingUsedBeforeDef.ts(2,12): error TS2538: Type '{}' cannot be used as an index type. +blockScopedBindingUsedBeforeDef.ts(2,12): error TS2538: Type 'any' cannot be used as an index type. blockScopedBindingUsedBeforeDef.ts(5,12): error TS2448: Block-scoped variable 'a' used before its declaration. -blockScopedBindingUsedBeforeDef.ts(5,12): error TS2538: Type '{}' cannot be used as an index type. +blockScopedBindingUsedBeforeDef.ts(5,12): error TS2538: Type 'any' cannot be used as an index type. blockScopedBindingUsedBeforeDef.ts(8,7): error TS2448: Block-scoped variable 'b' used before its declaration. -blockScopedBindingUsedBeforeDef.ts(8,7): error TS2538: Type '{}' cannot be used as an index type. +blockScopedBindingUsedBeforeDef.ts(8,7): error TS2538: Type 'any' cannot be used as an index type. ==== blockScopedBindingUsedBeforeDef.ts (6 errors) ==== @@ -13,7 +13,7 @@ blockScopedBindingUsedBeforeDef.ts(8,7): error TS2538: Type '{}' cannot be used !!! error TS2448: Block-scoped variable 'a' used before its declaration. !!! related TS2728 blockScopedBindingUsedBeforeDef.ts:2:16: 'a' is declared here. ~ -!!! error TS2538: Type '{}' cannot be used as an index type. +!!! error TS2538: Type 'any' cannot be used as an index type. // 2: for (let {[a]: a} = { }; false; ) continue; @@ -21,7 +21,7 @@ blockScopedBindingUsedBeforeDef.ts(8,7): error TS2538: Type '{}' cannot be used !!! error TS2448: Block-scoped variable 'a' used before its declaration. !!! related TS2728 blockScopedBindingUsedBeforeDef.ts:5:16: 'a' is declared here. ~ -!!! error TS2538: Type '{}' cannot be used as an index type. +!!! error TS2538: Type 'any' cannot be used as an index type. // 3: let {[b]: b} = { }; @@ -29,4 +29,4 @@ blockScopedBindingUsedBeforeDef.ts(8,7): error TS2538: Type '{}' cannot be used !!! error TS2448: Block-scoped variable 'b' used before its declaration. !!! related TS2728 blockScopedBindingUsedBeforeDef.ts:8:11: 'b' is declared here. ~ -!!! error TS2538: Type '{}' cannot be used as an index type. \ No newline at end of file +!!! error TS2538: Type 'any' cannot be used as an index type. \ No newline at end of file From 654f5d7205f40e02438888f3837fb4a022cfe719 Mon Sep 17 00:00:00 2001 From: Jake Bailey <5341706+jakebailey@users.noreply.github.com> Date: Tue, 20 Oct 2026 15:26:08 -0700 Subject: [PATCH 10/13] Order and intern types by content instead of by type id CompareTypes orders the constituents of unions, and so printed types, union deduplication, and everything derived from them. Many types it cannot tell apart fell through to the type id, which follows creation order, so these results depended on what had been checked before. Most such ties were copies: checking the same expression again (inference passes, overload resolution, contextual re-checks) created a new type with identical content every time. Types that are the same by content are now interned, so the same inputs yield the same type whenever and however often they are computed: object literal types, spread results and the property symbols they synthesize, widened, regular, and padded copies of object literals, object rest types, types implied by binding patterns, intersections with the same constituents, flags, and alias, and deferred indexed accesses, which are keyed by the flags they record rather than by transient ones. Interned object types are keyed by their members in table order, so spreads such as { ...a, ...b } and { ...b, ...a } stay distinct and each keeps its own property order. Types that remain distinct are ordered by how they were derived: - type parameters sharing a symbol (tuple elements, clones made for signature and mapped type instantiation, distributive and restrictive copies) by the kind of copy, then by their origin and the instantiation they were made for; - fresh and regular literal types, array literal types after the references they were cloned from, and object literal copies by the flags they were created with; - object literal, rest, and binding pattern types by their members, compared by declaration and name rather than by symbol id; - tuple targets by their label declarations. isDeeplyNestedType counts only occurrences of a recursion identity newer than the previous one, using type ids for "newer", so whether a comparison gave up as deeply nested depended on what had been checked before. It now uses a type's generation, one more than that of the types it was built from, which captures the same ordering wherever it follows from how the types are built, and nothing else. The pseudo-type printer reused the declared type of an inferred property assignment when the expression's widened type matched, but that type is widened without the context of its object literal and can differ from the real one. It is now reused only when equivalent. --- tsc/internal/checker/checker.go | 318 ++++++++++++++++-- tsc/internal/checker/pseudotypenodebuilder.go | 8 + tsc/internal/checker/relater.go | 96 +++++- tsc/internal/checker/types.go | 2 + tsc/internal/checker/types_test.go | 11 +- tsc/internal/checker/utilities.go | 240 ++++++++++++- ...nObjectLiteral_Js(alwaysstrict=true).types | 4 +- ...OrderSpreadCycle(checkorder=default).types | 8 +- ...rderSpreadCycle(checkorder=isolated).types | 8 +- ...OrderSpreadCycle(checkorder=reverse).types | 8 +- ...erSpreadCycle(checkorder=typesfirst).types | 8 +- ...ameterUnionOrder(checkorder=default).types | 4 +- ...terUnionOrder(checkorder=typesfirst).types | 4 +- ...sUnionOrder(checkorder=default).errors.txt | 22 -- ...sFlagsUnionOrder(checkorder=default).types | 4 +- ...inferenceDeeplyNestedCheckOrder.errors.txt | 4 +- .../inferenceDeeplyNestedCheckOrder.types | 2 +- ...ithPrototypeNoErrorTruncationNoCrash.types | 8 +- ...paceMembersResolutionOrderExportStar.types | 6 +- .../compiler/nestedSpreadsAndWidening.types | 10 +- ...akyDeclarationEmitSharedCheckerOrder.types | 6 +- ...sticsNamespaceMembersResolutionOrder.types | 6 +- ...embersResolutionOrderReexportedTypes.types | 6 +- ...icitAnyUnionNormalizedObjectLiteral1.types | 4 +- .../objectInstantiationFromUnionSpread.types | 36 +- ...WidenedCopyOrder(checkorder=default).types | 2 +- ...ntiationOrder(checkorder=typesfirst).types | 14 +- .../compiler/recursiveConditionalTypes.types | 4 +- .../relationDeeplyNestedCheckOrder.errors.txt | 32 ++ ...eckOrder(checkorder=typesfirst).errors.txt | 9 +- .../compiler/spreadUnionPropOverride.types | 8 +- .../varianceCycleCapnwebRpcStub.errors.txt | 165 --------- .../varianceCycleCapnwebRpcStub.types | 32 +- .../reference/conformance/spreadUnion.types | 2 +- ...indingElementPropertyName05.baseline.jsonc | 2 +- ...e-with-multiple-files-and-complex-types.js | 3 +- 36 files changed, 768 insertions(+), 338 deletions(-) delete mode 100644 tsc/testdata/baselines/reference/compiler/indexedAccessAccessFlagsUnionOrder(checkorder=default).errors.txt create mode 100644 tsc/testdata/baselines/reference/compiler/relationDeeplyNestedCheckOrder.errors.txt delete mode 100644 tsc/testdata/baselines/reference/compiler/varianceCycleCapnwebRpcStub.errors.txt diff --git a/tsc/internal/checker/checker.go b/tsc/internal/checker/checker.go index a57014f17da90..eebd7823aeebc 100644 --- a/tsc/internal/checker/checker.go +++ b/tsc/internal/checker/checker.go @@ -677,8 +677,16 @@ type Checker struct { resolveNameForSymbolSuggestion func(location *ast.Node, name string, meaning ast.SymbolFlags, nameNotFoundMessage *diagnostics.Message, isUse bool, excludeGlobals bool) *ast.Symbol tupleTypes map[CacheHashKey]*Type unionTypes map[CacheHashKey]*Type + objectLiteralTypes map[CacheHashKey]*Type + spreadTypes map[CacheHashKey]*Type + objectContentTypes map[CacheHashKey]*Type + spreadSymbols map[spreadSymbolKey]*ast.Symbol + symbolsWithType map[symbolWithTypeKey]*ast.Symbol + paddedProperties map[symbolWithTypeKey]*ast.Symbol + bindingPatternTypes map[CacheHashKey]*Type unionOfUnionTypes map[UnionOfUnionKey]*Type intersectionTypes map[CacheHashKey]*Type + intersectionContentTypes map[CacheHashKey]*Type propertiesTypes map[PropertiesTypesKey]*Type diagnostics ast.DiagnosticsCollection suggestionDiagnostics ast.DiagnosticsCollection @@ -1016,8 +1024,16 @@ func NewChecker(program Program, tracer *Tracer) (*Checker, *sync.Mutex) { c.resolveNameForSymbolSuggestion = c.createNameResolverForSuggestion().Resolve c.tupleTypes = make(map[CacheHashKey]*Type) c.unionTypes = make(map[CacheHashKey]*Type) + c.objectLiteralTypes = make(map[CacheHashKey]*Type) + c.spreadTypes = make(map[CacheHashKey]*Type) + c.objectContentTypes = make(map[CacheHashKey]*Type) + c.spreadSymbols = make(map[spreadSymbolKey]*ast.Symbol) + c.symbolsWithType = make(map[symbolWithTypeKey]*ast.Symbol) + c.paddedProperties = make(map[symbolWithTypeKey]*ast.Symbol) + c.bindingPatternTypes = make(map[CacheHashKey]*Type) c.unionOfUnionTypes = make(map[UnionOfUnionKey]*Type) c.intersectionTypes = make(map[CacheHashKey]*Type) + c.intersectionContentTypes = make(map[CacheHashKey]*Type) c.propertiesTypes = make(map[PropertiesTypesKey]*Type) c.patternForType = make(map[*Type]*ast.Node) c.contextFreeTypes = make(map[*ast.Node]*Type) @@ -13579,17 +13595,23 @@ func (c *Checker) checkObjectLiteral(node *ast.Node, checkMode CheckMode) *Type if hasComputedSymbolProperty { indexInfos = append(indexInfos, c.getObjectLiteralIndexInfo(isReadonly, propertiesArray[offset:], c.esSymbolType)) } - result := c.newAnonymousType(node.Symbol(), propertiesTable, nil, nil, indexInfos) - result.objectFlags |= objectFlags | ObjectFlagsObjectLiteral | ObjectFlagsContainsObjectOrArrayLiteral + flags := objectFlags | ObjectFlagsObjectLiteral | ObjectFlagsContainsObjectOrArrayLiteral if contextualType == nil && ast.IsInJSFile(node) && !ast.IsInJsonFile(node) { - result.objectFlags |= ObjectFlagsJSLiteral + flags |= ObjectFlagsJSLiteral } if patternWithComputedProperties { - result.objectFlags |= ObjectFlagsObjectLiteralPatternWithComputedProperties + flags |= ObjectFlagsObjectLiteralPatternWithComputedProperties } + key := c.getObjectLiteralTypeKey(node, flags, propertiesTable, indexInfos) + if existing := c.objectLiteralTypes[key]; existing != nil { + return existing + } + result := c.newAnonymousType(node.Symbol(), propertiesTable, nil, nil, indexInfos) + result.objectFlags |= flags if inDestructuringPattern { c.patternForType[result] = node } + c.objectLiteralTypes[key] = result return result } for _, memberDecl := range node.Properties() { @@ -13823,6 +13845,25 @@ func (c *Checker) getSpreadType(left *Type, right *Type, symbol *ast.Symbol, obj } return c.getIntersectionType([]*Type{left, right}) } + var b keyBuilder + b.writeType(left) + b.writeType(right) + if symbol != nil { + b.writeByte(1) + b.writeSymbol(symbol) + } else { + b.writeByte(0) + } + b.writeUint32(uint32(objectFlags)) + if readonly { + b.writeByte(1) + } else { + b.writeByte(0) + } + key := b.hash() + if existing := c.spreadTypes[key]; existing != nil { + return existing + } members := ast.NewSymbolTable() var skippedPrivateMembers collections.Set[string] var indexInfos []*IndexInfo @@ -13847,6 +13888,11 @@ func (c *Checker) getSpreadType(left *Type, right *Type, symbol *ast.Symbol, obj rightProp := members.Get(leftProp.Name()) rightType := c.getTypeOfSymbol(rightProp) if rightProp.Flags()&ast.SymbolFlagsOptional != 0 { + key := spreadSymbolKey{left: leftProp, right: rightProp} + if existing := c.spreadSymbols[key]; existing != nil { + members.Set(leftProp.Name(), existing) + continue + } declarations := core.Concatenate(leftProp.Declarations(), rightProp.Declarations()) flags := ast.SymbolFlagsProperty | (leftProp.Flags() & ast.SymbolFlagsOptional) result := c.newSymbol(flags, leftProp.Name()) @@ -13867,6 +13913,7 @@ func (c *Checker) getSpreadType(left *Type, right *Type, symbol *ast.Symbol, obj c.spreadLinks.Get(result).rightSpread = rightProp result.SetDeclarations(declarations) links.setNameType(c, c.valueSymbolLinks.Get(leftProp).getNameType()) + c.spreadSymbols[key] = result members.Set(leftProp.Name(), result) } } else { @@ -13876,8 +13923,18 @@ func (c *Checker) getSpreadType(left *Type, right *Type, symbol *ast.Symbol, obj spreadIndexInfos := core.SameMap(indexInfos, func(info *IndexInfo) *IndexInfo { return c.getIndexInfoWithReadonly(info, readonly) }) + flags := ObjectFlagsObjectLiteral | ObjectFlagsContainsObjectOrArrayLiteral | ObjectFlagsContainsSpread | objectFlags + // Different inputs can produce the same members, e.g. when the right side + // overrides every property of the left side. + contentKey := c.getObjectTypeContentKey(symbol, flags, members, spreadIndexInfos) + if existing := c.objectContentTypes[contentKey]; existing != nil { + c.spreadTypes[key] = existing + return existing + } spread := c.newAnonymousType(symbol, members, nil, nil, spreadIndexInfos) - spread.objectFlags |= ObjectFlagsObjectLiteral | ObjectFlagsContainsObjectOrArrayLiteral | ObjectFlagsContainsSpread | objectFlags + spread.objectFlags |= flags + c.objectContentTypes[contentKey] = spread + c.spreadTypes[key] = spread return spread } @@ -13974,6 +14031,10 @@ func (c *Checker) getSpreadSymbol(prop *ast.Symbol, readonly bool) *ast.Symbol { if !isSetonlyAccessor && readonly == c.isReadonlySymbol(prop) { return prop } + key := spreadSymbolKey{right: prop, readonly: readonly} + if existing := c.spreadSymbols[key]; existing != nil { + return existing + } flags := ast.SymbolFlagsProperty | (prop.Flags() & ast.SymbolFlagsOptional) result := c.newSymbolEx(flags, prop.Name(), prop.CheckFlags()&ast.CheckFlagsLate|core.IfElse(readonly, ast.CheckFlagsReadonly, 0)) links := c.valueSymbolLinks.Get(result) @@ -13985,9 +14046,59 @@ func (c *Checker) getSpreadSymbol(prop *ast.Symbol, readonly bool) *ast.Symbol { result.SetDeclarations(prop.Declarations()) links.setNameType(c, c.valueSymbolLinks.Get(prop).getNameType()) c.mappedSymbolLinks.Get(result).syntheticOrigin = prop + c.spreadSymbols[key] = result return result } +// spreadSymbolKey identifies a property symbol synthesized by a spread: either +// a copy of right with the given readonly-ness, or the merge of an optional +// right property into left. +type spreadSymbolKey struct { + left *ast.Symbol + right *ast.Symbol + readonly bool +} + +// getObjectTypeContentKey identifies the content of an object type derived +// from other object types, such as a spread, widened, or regular type. Members +// are either input properties or synthesized symbols that are themselves +// memoized, so symbol identity determines member content. +func (c *Checker) getObjectTypeContentKey(symbol *ast.Symbol, flags ObjectFlags, members ast.SymbolTable, indexInfos []*IndexInfo) CacheHashKey { + var b keyBuilder + if symbol != nil { + b.writeByte(1) + b.writeSymbol(symbol) + } else { + b.writeByte(0) + } + b.writeUint32(uint32(flags)) + b.writeInt(members.Len()) + for member := range members.Values() { + b.writeSymbol(member) + } + b.writeInt(len(indexInfos)) + for _, info := range indexInfos { + b.writeType(info.keyType) + b.writeType(info.valueType) + if info.isReadonly { + b.writeByte(1) + } else { + b.writeByte(0) + } + if info.declaration != nil { + b.writeByte(1) + b.writeNode(info.declaration) + } else { + b.writeByte(0) + } + b.writeInt(len(info.components)) + for _, n := range info.components { + b.writeNode(n) + } + } + return b.hash() +} + func (c *Checker) isEmptyObjectTypeOrSpreadsIntoEmptyObject(t *Type) bool { return c.isEmptyObjectType(t) || t.flags&(TypeFlagsNull|TypeFlagsUndefined|TypeFlagsBooleanLike|TypeFlagsNumberLike|TypeFlagsBigIntLike|TypeFlagsStringLike|TypeFlagsEnumLike|TypeFlagsNonPrimitive|TypeFlagsIndex) != 0 } @@ -17407,13 +17518,23 @@ func (c *Checker) padObjectLiteralType(t *Type, pattern *ast.Node) *Type { members.Set(prop.Name(), prop) } for _, e := range missingElements { - symbol := c.newSymbol(ast.SymbolFlagsProperty|ast.SymbolFlagsOptional, c.getPropertyNameFromBindingElement(e)) - c.valueSymbolLinks.Get(symbol).resolvedType = c.getTypeFromBindingElement(e, false /*includePatternInType*/, true /*reportErrors*/) + name := c.getPropertyNameFromBindingElement(e) + propType := c.getTypeFromBindingElement(e, false /*includePatternInType*/, true /*reportErrors*/) + key := symbolWithTypeKey{name: name, t: propType} + symbol := c.paddedProperties[key] + if symbol == nil { + symbol = c.newSymbol(ast.SymbolFlagsProperty|ast.SymbolFlagsOptional, name) + c.valueSymbolLinks.Get(symbol).resolvedType = propType + c.paddedProperties[key] = symbol + } members.Set(symbol.Name(), symbol) } - result := c.newAnonymousType(t.symbol, members, nil, nil, c.getIndexInfosOfType(t)) - result.objectFlags = t.objectFlags - return result + indexInfos := c.getIndexInfosOfType(t) + return c.internObjectType(t.symbol, t.objectFlags, members, indexInfos, func() *Type { + result := c.newAnonymousType(t.symbol, members, nil, nil, indexInfos) + result.objectFlags = t.objectFlags + return result + }) } func (c *Checker) getPropertyNameFromBindingElement(e *ast.Node) string { @@ -18091,6 +18212,54 @@ func (b *keyBuilder) writeNode(node *ast.Node) { } } +// getObjectLiteralTypeKey identifies the content of an object literal type, so +// that checking the same object literal again with the same results yields the +// same type. +func (c *Checker) getObjectLiteralTypeKey(node *ast.Node, flags ObjectFlags, properties ast.SymbolTable, indexInfos []*IndexInfo) CacheHashKey { + var b keyBuilder + b.writeNode(node) + b.writeUint32(uint32(flags)) + names := slices.Sorted(properties.Keys()) + b.writeInt(len(names)) + for _, name := range names { + prop := properties.Get(name) + b.writeString(name) + b.writeByte(0) + b.writeUint32(uint32(prop.Flags())) + b.writeUint32(uint32(prop.CheckFlags())) + // Members created by this object literal have their types set at + // creation; other members (accessors) are the declared symbols. + links := c.valueSymbolLinks.TryGet(prop) + if links == nil || links.target == nil { + b.writeByte(2) + b.writeSymbol(prop) + continue + } + if nameType := links.getNameType(); nameType != nil { + b.writeByte(1) + b.writeType(nameType) + } else { + b.writeByte(0) + } + b.writeType(links.resolvedType) + } + b.writeInt(len(indexInfos)) + for _, info := range indexInfos { + b.writeType(info.keyType) + b.writeType(info.valueType) + if info.isReadonly { + b.writeByte(1) + } else { + b.writeByte(0) + } + b.writeInt(len(info.components)) + for _, n := range info.components { + b.writeNode(n) + } + } + return b.hash() +} + func getTypeListKey(types []*Type) CacheHashKey { var b keyBuilder b.writeTypes(types) @@ -18428,9 +18597,12 @@ func (c *Checker) getRestType(source *Type, properties []*ast.Node, symbol *ast. for _, prop := range spreadableProperties { members.Set(prop.Name(), c.getSpreadSymbol(prop, false /*readonly*/)) } - result := c.newAnonymousType(symbol, members, nil, nil, c.getIndexInfosOfType(source)) - result.objectFlags |= ObjectFlagsObjectRestType - return result + indexInfos := c.getIndexInfosOfType(source) + return c.internObjectType(symbol, ObjectFlagsAnonymous|ObjectFlagsObjectRestType, members, indexInfos, func() *Type { + result := c.newAnonymousType(symbol, members, nil, nil, indexInfos) + result.objectFlags |= ObjectFlagsObjectRestType + return result + }) } // Determine the control flow type associated with a destructuring declaration or assignment. The following @@ -18542,12 +18714,35 @@ func (c *Checker) getTypeFromObjectBindingPattern(pattern *ast.Node, includePatt if stringIndexInfo != nil { indexInfos = []*IndexInfo{stringIndexInfo} } + // The members are declared by the pattern's elements, so patterns + // implying the same members still need distinct types. + var b keyBuilder + b.writeNode(pattern) + if includePatternInType { + b.writeByte(1) + } else { + b.writeByte(0) + } + b.writeUint32(uint32(objectFlags)) + b.writeInt(len(indexInfos)) + names := slices.Sorted(members.Keys()) + for _, name := range names { + b.writeString(name) + b.writeByte(0) + b.writeUint32(uint32(members.Get(name).Flags())) + b.writeType(c.valueSymbolLinks.Get(members.Get(name)).resolvedType) + } + key := b.hash() + if existing := c.bindingPatternTypes[key]; existing != nil { + return existing + } result := c.newAnonymousType(nil, members, nil, nil, indexInfos) result.objectFlags |= objectFlags if includePatternInType { c.patternForType[result] = pattern result.objectFlags |= ObjectFlagsContainsObjectOrArrayLiteral } + c.bindingPatternTypes[key] = result return result } @@ -18591,9 +18786,17 @@ func (c *Checker) getTypeFromArrayBindingPattern(pattern *ast.Node, includePatte } result := c.createTupleTypeEx(elementTypes, elementInfos, false) if includePatternInType { + var b keyBuilder + b.writeNode(pattern) + b.writeType(result) + key := b.hash() + if existing := c.bindingPatternTypes[key]; existing != nil { + return existing + } result = c.cloneTypeReference(result) c.patternForType[result] = pattern result.objectFlags |= ObjectFlagsContainsObjectOrArrayLiteral + c.bindingPatternTypes[key] = result } return result } @@ -19016,11 +19219,16 @@ func (c *Checker) getWidenedTypeOfObjectLiteral(t *Type, context *WideningContex } } } - result := c.newAnonymousType(t.symbol, members, nil, nil, core.SameMap(c.getIndexInfosOfType(t), func(info *IndexInfo) *IndexInfo { + indexInfos := core.SameMap(c.getIndexInfosOfType(t), func(info *IndexInfo) *IndexInfo { return c.newIndexInfo(info.keyType, c.getWidenedType(info.valueType), info.isReadonly, info.declaration, info.components) - })) + }) // Retain js literal flag through widening - result.objectFlags |= t.objectFlags & (ObjectFlagsJSLiteral | ObjectFlagsNonInferrableType) + flags := t.objectFlags & (ObjectFlagsJSLiteral | ObjectFlagsNonInferrableType) + result := c.internObjectType(t.symbol, ObjectFlagsAnonymous|flags, members, indexInfos, func() *Type { + result := c.newAnonymousType(t.symbol, members, nil, nil, indexInfos) + result.objectFlags |= flags + return result + }) // Only cache in child contexts since the root context never widens a particular object literal type more than once if context != nil && context.parent != nil { if context.widenedTypes == nil { @@ -19046,7 +19254,7 @@ func (c *Checker) getWidenedProperty(prop *ast.Symbol, context *WideningContext) if widened == original { return prop } - return c.createSymbolWithType(prop, widened) + return c.getSymbolWithType(prop, widened) } func (w *WideningContext) getChildContext(propertyName string) *WideningContext { @@ -22497,6 +22705,36 @@ func (c *Checker) hasCommonDeclaration(symbols *collections.OrderedSet[*ast.Symb return commonDeclarations.Len() != 0 } +type symbolWithTypeKey struct { + source *ast.Symbol + name string + t *Type +} + +// getSymbolWithType is createSymbolWithType for copies of object type members, +// returning the same copy for the same property and type. +func (c *Checker) getSymbolWithType(source *ast.Symbol, t *Type) *ast.Symbol { + key := symbolWithTypeKey{source: source, t: t} + if existing := c.symbolsWithType[key]; existing != nil { + return existing + } + result := c.createSymbolWithType(source, t) + c.symbolsWithType[key] = result + return result +} + +// internObjectType returns an existing object type with the given content, or +// creates one with the given creation. +func (c *Checker) internObjectType(symbol *ast.Symbol, flags ObjectFlags, members ast.SymbolTable, indexInfos []*IndexInfo, create func() *Type) *Type { + key := c.getObjectTypeContentKey(symbol, flags&^(ObjectFlagsCouldContainTypeVariablesComputed|ObjectFlagsCouldContainTypeVariables|ObjectFlagsMembersResolved), members, indexInfos) + if existing := c.objectContentTypes[key]; existing != nil { + return existing + } + result := create() + c.objectContentTypes[key] = result + return result +} + func (c *Checker) createSymbolWithType(source *ast.Symbol, t *Type) *ast.Symbol { symbol := c.newSymbolEx(source.Flags(), source.Name(), source.CheckFlags()&ast.CheckFlagsReadonly) symbol.SetDeclarations(source.Declarations()) @@ -25419,6 +25657,7 @@ func (c *Checker) getRestrictiveTypeParameter(t *Type) *Type { } result := c.newTypeParameter(t.symbol) result.AsTypeParameter().constraint = c.noConstraintType + result.AsTypeParameter().origin = t c.cachedTypes[key] = result return result } @@ -25713,6 +25952,9 @@ func (c *Checker) createTupleTargetType(elementInfos []TupleElementInfo, readonl d.thisType = c.newTypeParameter(nil) d.thisType.AsTypeParameter().isThisType = true d.thisType.AsTypeParameter().constraint = t + for _, tp := range typeParameters { + tp.AsTypeParameter().origin = t + } d.allTypeParameters = append(typeParameters, d.thisType) d.instantiations = make(map[CacheHashKey]*Type) d.instantiations[getTypeListKey(d.TypeParameters())] = t @@ -27139,19 +27381,36 @@ func (c *Checker) getIntersectionTypeEx(types []*Type, flags IntersectionFlags, // the denormalized origin has fewer constituents than the union itself. var origin *Type if core.Some(constituents, isIntersectionType) && getConstituentCountOfTypes(constituents) > getConstituentCountOfTypes(typeSet) { - origin = c.newIntersectionType(ObjectFlagsNone, typeSet) + origin = c.getIntersectionTypeWithContent(ObjectFlagsNone, typeSet, nil) } result = c.getUnionTypeEx(constituents, UnionReductionLiteral, alias, origin) } } else { - result = c.newIntersectionType(objectFlags|c.getPropagatingFlagsOfTypes(types /*excludeKinds*/, TypeFlagsNullable), typeSet) - result.alias = alias + result = c.getIntersectionTypeWithContent(objectFlags|c.getPropagatingFlagsOfTypes(types /*excludeKinds*/, TypeFlagsNullable), typeSet, alias) } c.intersectionTypes[key] = result } return result } +// getIntersectionTypeWithContent returns the intersection type with the given +// constituents, flags, and alias. Different intersection cache keys can reduce +// to the same content, which should yield the same type. +func (c *Checker) getIntersectionTypeWithContent(objectFlags ObjectFlags, typeSet []*Type, alias *TypeAlias) *Type { + var b keyBuilder + b.writeTypes(typeSet) + b.writeUint32(uint32(objectFlags)) + b.writeAlias(alias) + key := b.hash() + if existing := c.intersectionContentTypes[key]; existing != nil { + return existing + } + result := c.newIntersectionType(objectFlags, typeSet) + result.alias = alias + c.intersectionContentTypes[key] = result + return result +} + func isUnionWithUndefined(t *Type) bool { return t.flags&TypeFlagsUnion != 0 && t.Types()[0].flags&TypeFlagsUndefined != 0 } @@ -27900,7 +28159,7 @@ func (c *Checker) getIndexedAccessTypeOrUndefined(objectType *Type, indexType *T } // Defer the operation by creating an indexed access type. persistentAccessFlags := accessFlags & AccessFlagsPersistent - key := getIndexedAccessKey(objectType, indexType, accessFlags, alias) + key := getIndexedAccessKey(objectType, indexType, persistentAccessFlags, alias) t := c.indexedAccessTypes[key] if t == nil { t = c.newIndexedAccessType(objectType, indexType, persistentAccessFlags) @@ -29127,9 +29386,18 @@ func (c *Checker) getRegularTypeOfObjectLiteral(t *Type) *Type { } resolved := c.resolveStructuredTypeMembers(t) members := c.transformTypeOfMembers(t, c.getRegularTypeOfObjectLiteral) - regular := c.newAnonymousType(t.symbol, members, resolved.CallSignatures(), resolved.ConstructSignatures(), resolved.getIndexInfos()) - regular.flags = resolved.flags - regular.objectFlags |= resolved.objectFlags & ^ObjectFlagsFreshLiteral + create := func() *Type { + regular := c.newAnonymousType(t.symbol, members, resolved.CallSignatures(), resolved.ConstructSignatures(), resolved.getIndexInfos()) + regular.flags = resolved.flags + regular.objectFlags |= resolved.objectFlags & ^ObjectFlagsFreshLiteral + return regular + } + var regular *Type + if len(resolved.CallSignatures()) == 0 && len(resolved.ConstructSignatures()) == 0 && resolved.flags == TypeFlagsObject { + regular = c.internObjectType(t.symbol, ObjectFlagsAnonymous|resolved.objectFlags&^ObjectFlagsFreshLiteral, members, resolved.getIndexInfos(), create) + } else { + regular = create() + } c.cachedTypes[key] = regular return regular } @@ -29140,7 +29408,7 @@ func (c *Checker) transformTypeOfMembers(t *Type, f func(propertyType *Type) *Ty original := c.getTypeOfSymbol(property) updated := f(original) if updated != original { - property = c.createSymbolWithType(property, updated) + property = c.getSymbolWithType(property, updated) } members.Set(property.Name(), property) } diff --git a/tsc/internal/checker/pseudotypenodebuilder.go b/tsc/internal/checker/pseudotypenodebuilder.go index 8f1e2bf1700e1..8233c3543f889 100644 --- a/tsc/internal/checker/pseudotypenodebuilder.go +++ b/tsc/internal/checker/pseudotypenodebuilder.go @@ -699,6 +699,14 @@ func (b *NodeBuilderImpl) pseudoTypeToType(t *pseudochecker.PseudoType) *Type { return b.ch.getReturnTypeOfSignature(b.ch.getSignatureFromDeclaration(node)) } ty := b.ch.getWidenedType(b.ch.getRegularTypeOfExpression(node)) + if ast.IsPropertyAssignment(node.Parent) { + // pseudoTypeToNode serializes the type of the property's symbol, which is + // not widened in the context of its containing object literal. + declared := b.ch.getWidenedLiteralType(b.ch.getTypeOfSymbol(b.ch.getSymbolOfDeclaration(node.Parent))) + if declared != ty { + return nil + } + } return ty case pseudochecker.PseudoTypeKindNoResult: return nil // TODO: extract type selection logic from `serializeTypeForDeclaration`, not needed for current usecases but needed if completeness becomes required diff --git a/tsc/internal/checker/relater.go b/tsc/internal/checker/relater.go index 562ae0451cb43..969284a6fd796 100644 --- a/tsc/internal/checker/relater.go +++ b/tsc/internal/checker/relater.go @@ -10,6 +10,7 @@ import ( "github.com/microsoft/TypeScript/tsc/internal/binder" "github.com/microsoft/TypeScript/tsc/internal/collections" "github.com/microsoft/TypeScript/tsc/internal/core" + "github.com/microsoft/TypeScript/tsc/internal/debug" "github.com/microsoft/TypeScript/tsc/internal/diagnostics" "github.com/microsoft/TypeScript/tsc/internal/jsnum" "github.com/microsoft/TypeScript/tsc/internal/stringutil" @@ -776,18 +777,20 @@ func (c *Checker) isDeeplyNestedType(t *Type, stack []*Type, maxDepth int) bool } else { identity := getRecursionIdentityFromTarget(target) count := 0 - lastTypeId := TypeId(0) + lastGeneration := 0 for _, t := range stack { if hasMatchingRecursionIdentity(t, identity) { - // We only count occurrences with a higher type id than the previous occurrence, since higher - // type ids are an indicator of newer instantiations caused by recursion. - if t.id >= lastTypeId { + // We only count occurrences of a generation at least that of the previous occurrence, since + // newer instantiations caused by recursion are built from the previous ones, whereas nested + // type arguments are older than the types they are arguments of. + generation := c.typeGeneration(t) + if generation >= lastGeneration { count++ if count >= maxDepth { return true } } - lastTypeId = t.id + lastGeneration = generation } } } @@ -795,6 +798,89 @@ func (c *Checker) isDeeplyNestedType(t *Type, stack []*Type, maxDepth int) bool return false } +const ( + maxTypeGeneration = 1<<16 - 3 + typeGenerationInProgress = 1<<16 - 1 +) + +// typeGeneration returns one more than the highest generation of the types t +// was instantiated from, or zero if it was not instantiated from any. A type is +// created after the types it is instantiated from, so this orders types by +// creation where the order follows from their structure, and unlike type ids +// does not depend on the order in which unrelated types were created. +func (c *Checker) typeGeneration(t *Type) int { + debug.Assert(t.generation != typeGenerationInProgress, "types are only built from existing types") + if t.generation != 0 { + return int(t.generation) - 1 + } + t.generation = typeGenerationInProgress + generation := 0 + switch { + case t.flags&TypeFlagsObject != 0: + if t.objectFlags&ObjectFlagsReference != 0 && t.AsTypeReference().node == nil { + generation = c.typesGeneration(t.AsTypeReference().resolvedTypeArguments) + } else if m := t.AsObjectType().mapper; m != nil { + generation = c.mapperGeneration(m) + } else if t.symbol != nil && t.symbol.Flags()&ast.SymbolFlagsObjectLiteral != 0 { + // Object literals are built from the types of their properties, + // except for those resolved lazily, such as accessors. + for prop := range t.AsStructuredType().members.Values() { + if prop.Flags()&ast.SymbolFlagsTransient == 0 || prop.CheckFlags()&(ast.CheckFlagsInstantiated|ast.CheckFlagsMapped|ast.CheckFlagsReverseMapped|ast.CheckFlagsDeferredType) != 0 { + continue + } + if propType := c.valueSymbolLinks.Get(prop).resolvedType; propType != nil { + generation = max(generation, c.typeGeneration(propType)+1) + } + } + } + case t.flags&TypeFlagsConditional != 0: + if m := t.AsConditionalType().mapper; m != nil { + generation = c.mapperGeneration(m) + } + case t.flags&TypeFlagsIndexedAccess != 0: + d := t.AsIndexedAccessType() + generation = max(c.typeGeneration(d.objectType), c.typeGeneration(d.indexType)) + 1 + case t.flags&TypeFlagsUnionOrIntersection != 0, t.flags&TypeFlagsTemplateLiteral != 0: + generation = c.typesGeneration(t.Types()) + case t.flags&TypeFlagsIndex != 0, t.flags&TypeFlagsStringMapping != 0: + generation = c.typeGeneration(t.Target()) + 1 + case t.flags&TypeFlagsSubstitution != 0: + d := t.AsSubstitutionType() + generation = max(c.typeGeneration(d.baseType), c.typeGeneration(d.constraint)) + 1 + } + generation = min(generation, maxTypeGeneration) + t.generation = uint16(generation + 1) + return generation +} + +func (c *Checker) typesGeneration(types []*Type) int { + generation := -1 + for _, t := range types { + generation = max(generation, c.typeGeneration(t)) + } + return generation + 1 +} + +// mapperGeneration returns one more than the highest generation of the types +// that m maps to, as far as they are known without computing them. +func (c *Checker) mapperGeneration(m *TypeMapper) int { + switch m.kind { + case TypeMapperKindSimple: + return c.typeGeneration(castTypeMapper[SimpleTypeMapper](m, TypeMapperKindSimple).target) + 1 + case TypeMapperKindArray: + return c.typesGeneration(castTypeMapper[ArrayTypeMapper](m, TypeMapperKindArray).targets) + case TypeMapperKindArrayToSingle: + return c.typeGeneration(castTypeMapper[ArrayToSingleTypeMapper](m, TypeMapperKindArrayToSingle).target) + 1 + case TypeMapperKindMerged: + d := castTypeMapper[MergedTypeMapper](m, TypeMapperKindMerged) + return max(c.mapperGeneration(d.m1), c.mapperGeneration(d.m2)) + case TypeMapperKindComposite: + d := castTypeMapper[CompositeTypeMapper](m, TypeMapperKindComposite) + return max(c.mapperGeneration(d.m1), c.mapperGeneration(d.m2)) + } + return 0 +} + func hasMatchingRecursionIdentity(t *Type, identity RecursionId) bool { target := getRecursionIdentityTarget(t) if target.flags&TypeFlagsIntersection != 0 { diff --git a/tsc/internal/checker/types.go b/tsc/internal/checker/types.go index 8d270fd23df46..c8f130693f83d 100644 --- a/tsc/internal/checker/types.go +++ b/tsc/internal/checker/types.go @@ -783,6 +783,7 @@ type Type struct { objectFlags ObjectFlags id TypeId kind typeKind `customlint:"protected"` + generation uint16 // see Checker.typeGeneration; zero until computed symbol *ast.Symbol alias *TypeAlias checker *Checker @@ -1498,6 +1499,7 @@ type TypeParameter struct { isDistributed bool resolvedDefaultType *Type distributedType *Type + origin *Type // The type parameter a restrictive type parameter was made from, or the tuple target of a tuple element type parameter } func (t *TypeParameter) IsThisType() bool { return t.isThisType } diff --git a/tsc/internal/checker/types_test.go b/tsc/internal/checker/types_test.go index d19d10419bcd8..6e0f19446fe00 100644 --- a/tsc/internal/checker/types_test.go +++ b/tsc/internal/checker/types_test.go @@ -177,11 +177,12 @@ func BenchmarkTypeListKey(b *testing.B) { func newCompositeTestChecker() (*Checker, []*Type) { c := &Checker{ - strictNullChecks: true, - unionTypes: make(map[CacheHashKey]*Type), - unionOfUnionTypes: make(map[UnionOfUnionKey]*Type), - intersectionTypes: make(map[CacheHashKey]*Type), - subtypeReductionCache: make(map[CacheHashKey][]*Type), + strictNullChecks: true, + unionTypes: make(map[CacheHashKey]*Type), + unionOfUnionTypes: make(map[UnionOfUnionKey]*Type), + intersectionTypes: make(map[CacheHashKey]*Type), + intersectionContentTypes: make(map[CacheHashKey]*Type), + subtypeReductionCache: make(map[CacheHashKey][]*Type), } c.compareSymbols = c.compareSymbolsWorker c.neverType = c.newIntrinsicType(TypeFlagsNever, "never") diff --git a/tsc/internal/checker/utilities.go b/tsc/internal/checker/utilities.go index c4cc97fa29a1b..53258a46c795b 100644 --- a/tsc/internal/checker/utilities.go +++ b/tsc/internal/checker/utilities.go @@ -372,6 +372,15 @@ func (c *Checker) compareSymbolsWorker(s1, s2 *ast.Symbol) int { if s2 == nil { return -1 } + if r := c.compareSymbolDeclarationsAndNames(s1, s2); r != 0 { + return r + } + // Fall back to symbol IDs. This is a last resort that should happen only when symbols have + // no declaration and duplicate names. + return cmp.Compare(ast.GetSymbolId(s1), ast.GetSymbolId(s2)) +} + +func (c *Checker) compareSymbolDeclarationsAndNames(s1, s2 *ast.Symbol) int { if len(s1.Declarations()) != 0 && len(s2.Declarations()) != 0 { if r := c.compareNodes(s1.Declarations()[0], s2.Declarations()[0]); r != 0 { return r @@ -381,12 +390,7 @@ func (c *Checker) compareSymbolsWorker(s1, s2 *ast.Symbol) int { } else if len(s2.Declarations()) != 0 { return 1 } - if r := strings.Compare(s1.Name(), s2.Name()); r != 0 { - return r - } - // Fall back to symbol IDs. This is a last resort that should happen only when symbols have - // no declaration and duplicate names. - return cmp.Compare(ast.GetSymbolId(s1), ast.GetSymbolId(s2)) + return strings.Compare(s1.Name(), s2.Name()) } func (c *Checker) compareNodes(n1, n2 *ast.Node) int { @@ -488,6 +492,15 @@ func CompareTypes(t1, t2 *Type) int { return c } } + if r1.target != r2.target && r1.target.objectFlags&r2.target.objectFlags&ObjectFlagsTuple != 0 { + if c := t1.checker.compareTupleLabelDeclarations(r1.target.AsTupleType(), r2.target.AsTupleType()); c != 0 { + return c + } + } + // Array literal types follow the references they were cloned from. + if l1, l2 := t1.objectFlags&ObjectFlagsArrayLiteral != 0, t2.objectFlags&ObjectFlagsArrayLiteral != 0; l1 != l2 { + return core.IfElse(l1, 1, -1) + } } else if t1.objectFlags&ObjectFlagsReference != 0 { return -1 } else if t2.objectFlags&ObjectFlagsReference != 0 { @@ -525,6 +538,22 @@ func CompareTypes(t1, t2 *Type) int { if c := compareTypeMappers(m1, m2); c != 0 { return c } + if hasObjectLiteralMembers(t1) && hasObjectLiteralMembers(t2) { + if c := compareObjectLiteralMembers(t1, t2); c != 0 { + return c + } + // Fresh, regular, and widened copies of the same literal differ only in + // the flags set when they were created. + if c := int(t1.objectFlags&objectLiteralCreationFlags) - int(t2.objectFlags&objectLiteralCreationFlags); c != 0 { + return c + } + } else if t1.objectFlags&t2.objectFlags&ObjectFlagsObjectRestType != 0 { + // Rest types share the symbol of their declaration, so a rest from a union + // yields one type per constituent, distinguished by the members they keep. + if c := compareObjectMemberDeclarations(t1, t2); c != 0 { + return c + } + } } case t1.flags&TypeFlagsUnion != 0: // Unions are ordered by origin and then constituent type lists. @@ -580,6 +609,9 @@ func CompareTypes(t1, t2 *Type) int { if c := t1.checker.compareSymbols(t1.symbol, t2.symbol); c != 0 { return c } + if c := compareTypeParameterOrigins(t1, t2); c != 0 { + return c + } case t1.flags&TypeFlagsIndex != 0: if c := CompareTypes(t1.AsIndexType().target, t2.AsIndexType().target); c != 0 { return c @@ -594,6 +626,9 @@ func CompareTypes(t1, t2 *Type) int { if c := CompareTypes(t1.AsIndexedAccessType().indexType, t2.AsIndexedAccessType().indexType); c != 0 { return c } + if c := int(t1.AsIndexedAccessType().accessFlags) - int(t2.AsIndexedAccessType().accessFlags); c != 0 { + return c + } case t1.flags&TypeFlagsConditional != 0: if c := t1.checker.compareNodes(t1.AsConditionalType().root.node.AsNode(), t2.AsConditionalType().root.node.AsNode()); c != 0 { return c @@ -620,6 +655,20 @@ func CompareTypes(t1, t2 *Type) int { return c } } + // Types implied by binding patterns are ordered by their patterns. + if t1.flags&TypeFlagsObject != 0 { + p1 := t1.checker.patternForType[t1] + p2 := t2.checker.patternForType[t2] + if c := t1.checker.compareNodes(p1, p2); c != 0 { + return c + } + } + // Fresh literal types follow their regular counterparts. + if t1.flags&TypeFlagsFreshable != 0 { + if f1, f2 := isFreshLiteralType(t1), isFreshLiteralType(t2); f1 != f2 { + return core.IfElse(f1, 1, -1) + } + } // Fall back to type IDs. This results in type creation order for built-in types. return int(t1.id) - int(t2.id) } @@ -691,6 +740,18 @@ func compareTupleTypes(t1, t2 *TupleType) int { return 0 } +// compareTupleLabelDeclarations orders tuple targets that differ only in where +// their identically named labels are declared. The tuples must have the same +// arity, which callers establish by comparing with compareTupleTypes first. +func (c *Checker) compareTupleLabelDeclarations(t1, t2 *TupleType) int { + for i := range t1.elementInfos { + if r := c.compareNodes(t1.elementInfos[i].labeledDeclaration, t2.elementInfos[i].labeledDeclaration); r != 0 { + return r + } + } + return 0 +} + func compareElementLabels(n1, n2 *ast.Node) int { if n1 == n2 { return 0 @@ -704,6 +765,173 @@ func compareElementLabels(n1, n2 *ast.Node) int { return strings.Compare(n1.Name().Text(), n2.Name().Text()) } +// Object literal types, and types derived from them, are given their members +// at creation rather than resolving them from their symbol. +const objectLiteralCreationFlags = ObjectFlagsObjectLiteral | ObjectFlagsFreshLiteral | ObjectFlagsJSLiteral | ObjectFlagsArrayLiteral | + ObjectFlagsContainsSpread | ObjectFlagsObjectLiteralPatternWithComputedProperties | ObjectFlagsNonInferrableType | + ObjectFlagsContainsWideningType | ObjectFlagsContainsObjectOrArrayLiteral + +func hasObjectLiteralMembers(t *Type) bool { + d := t.AsObjectType() + if d.target != nil || d.mapper != nil { + return false + } + if t.symbol == nil { + // Types implied by binding patterns have no symbol. + return t.objectFlags&ObjectFlagsObjectLiteral != 0 + } + return t.symbol.Flags()&ast.SymbolFlagsObjectLiteral != 0 +} + +// compareObjectMemberDeclarations orders resolved object types by what their +// members declare, without consulting member types, which may not be resolved. +// Properties are compared pairwise because getNamedMembers sorts them. +func compareObjectMemberDeclarations(t1, t2 *Type) int { + c := t1.checker + p1 := t1.AsStructuredType().properties + p2 := t2.AsStructuredType().properties + if n := len(p1) - len(p2); n != 0 { + return n + } + for i, s1 := range p1 { + s2 := p2[i] + if r := c.compareSymbolDeclarationsAndNames(s1, s2); r != 0 { + return r + } + if r := int(s1.Flags()&ast.SymbolFlagsOptional) - int(s2.Flags()&ast.SymbolFlagsOptional); r != 0 { + return r + } + } + return 0 +} + +// compareObjectLiteralMembers is like compareObjectMemberDeclarations, and +// likewise relies on getNamedMembers sorting the properties. +func compareObjectLiteralMembers(t1, t2 *Type) int { + c := t1.checker + p1 := t1.AsStructuredType().properties + p2 := t2.AsStructuredType().properties + if n := len(p1) - len(p2); n != 0 { + return n + } + for i, s1 := range p1 { + s2 := p2[i] + // Members are created per object literal type, so they are ordered by + // what they declare rather than by identity. + if r := c.compareSymbolDeclarationsAndNames(s1, s2); r != 0 { + return r + } + if r := int(s1.Flags()&ast.SymbolFlagsOptional) - int(s2.Flags()&ast.SymbolFlagsOptional); r != 0 { + return r + } + if r := CompareTypes(c.peekTypeOfObjectLiteralMember(s1), c.peekTypeOfObjectLiteralMember(s2)); r != 0 { + return r + } + } + return 0 +} + +// The type of a member of an object literal type is set when the member is +// created. +func (c *Checker) peekTypeOfObjectLiteralMember(s *ast.Symbol) *Type { + if links := c.valueSymbolLinks.TryGet(s); links != nil { + return links.resolvedType + } + return nil +} + +type typeParameterOrigin int + +const ( + typeParameterOriginDeclared typeParameterOrigin = iota + typeParameterOriginThis + typeParameterOriginDistributed + typeParameterOriginRestrictive + typeParameterOriginTupleElement + typeParameterOriginClone +) + +func getTypeParameterOrigin(tp *TypeParameter) typeParameterOrigin { + switch { + case tp.isThisType: + return typeParameterOriginThis + case tp.isDistributed: + return typeParameterOriginDistributed + case tp.origin != nil && tp.origin.flags&TypeFlagsTypeParameter != 0: + return typeParameterOriginRestrictive + case tp.origin != nil: + return typeParameterOriginTupleElement + case tp.target != nil: + return typeParameterOriginClone + } + return typeParameterOriginDeclared +} + +// Type parameters that share a symbol are copies derived from a common original. +// Order them by how they were derived rather than by creation order. +func compareTypeParameterOrigins(t1, t2 *Type) int { + p1 := t1.AsTypeParameter() + p2 := t2.AsTypeParameter() + o1 := getTypeParameterOrigin(p1) + o2 := getTypeParameterOrigin(p2) + if o1 != o2 { + return int(o1) - int(o2) + } + switch o1 { + case typeParameterOriginThis: + // Tuple this types have no symbol; their constraint is the tuple target, + // initialized at creation. + if t1.symbol == nil { + return CompareTypes(p1.constraint, p2.constraint) + } + case typeParameterOriginDistributed: + return CompareTypes(p1.distributedType, p2.distributedType) + case typeParameterOriginRestrictive: + return CompareTypes(p1.origin, p2.origin) + case typeParameterOriginTupleElement: + if c := CompareTypes(p1.origin, p2.origin); c != 0 { + return c + } + return slices.Index(p1.origin.AsTupleType().allTypeParameters, t1) - slices.Index(p2.origin.AsTupleType().allTypeParameters, t2) + case typeParameterOriginClone: + if c := CompareTypes(p1.target, p2.target); c != 0 { + return c + } + return compareTypeMappers(getCloneOuterMapper(t1), getCloneOuterMapper(t2)) + } + return 0 +} + +// A cloned type parameter's mapper maps its target to the clone itself, +// optionally followed by the instantiation the clone was made for. Return only +// the latter so comparisons don't recurse into the clone. +func getCloneOuterMapper(t *Type) *TypeMapper { + m := t.AsTypeParameter().mapper + if m == nil { + return nil + } + if m.Kind() == TypeMapperKindComposite { + cm := castTypeMapper[CompositeTypeMapper](m, TypeMapperKindComposite) + if mapperTargetsType(cm.m1, t) { + return cm.m2 + } + } + if mapperTargetsType(m, t) { + return nil + } + return m +} + +func mapperTargetsType(m *TypeMapper, t *Type) bool { + switch m.Kind() { + case TypeMapperKindSimple: + return castTypeMapper[SimpleTypeMapper](m, TypeMapperKindSimple).target == t + case TypeMapperKindArray: + return slices.Contains(castTypeMapper[ArrayTypeMapper](m, TypeMapperKindArray).targets, t) + } + return false +} + func compareTypeLists(s1, s2 []*Type) int { if len(s1) != len(s2) { return len(s1) - len(s2) diff --git a/tsc/testdata/baselines/reference/compiler/argumentsReferenceInObjectLiteral_Js(alwaysstrict=true).types b/tsc/testdata/baselines/reference/compiler/argumentsReferenceInObjectLiteral_Js(alwaysstrict=true).types index ede507ae296eb..c29b02354c562 100644 --- a/tsc/testdata/baselines/reference/compiler/argumentsReferenceInObjectLiteral_Js(alwaysstrict=true).types +++ b/tsc/testdata/baselines/reference/compiler/argumentsReferenceInObjectLiteral_Js(alwaysstrict=true).types @@ -2,8 +2,8 @@ === /a.js === const a = () => { ->a : () => { arguments: undefined[]; } ->() => { return { arguments: [], };} : () => { arguments: undefined[]; } +>a : () => { arguments: any[]; } +>() => { return { arguments: [], };} : () => { arguments: any[]; } return { >{ arguments: [], } : { arguments: undefined[]; } diff --git a/tsc/testdata/baselines/reference/compiler/checkOrderSpreadCycle(checkorder=default).types b/tsc/testdata/baselines/reference/compiler/checkOrderSpreadCycle(checkorder=default).types index 901461cf3d36b..216ad9304dfd7 100644 --- a/tsc/testdata/baselines/reference/compiler/checkOrderSpreadCycle(checkorder=default).types +++ b/tsc/testdata/baselines/reference/compiler/checkOrderSpreadCycle(checkorder=default).types @@ -57,12 +57,12 @@ const M = /** @type {any} */ (null); >(null) : any module.exports = { v: { ...M } }; ->module.exports = { v: { ...M } } : { v: { pa: { pb: {}; mb: 1; }; ma: 1; }; } +>module.exports = { v: { ...M } } : { v: {}; } >module.exports : { v: {}; } >module : { exports: { v: {}; }; } >exports : { v: {}; } ->{ v: { ...M } } : { v: { pa: { pb: {}; mb: 1; }; ma: 1; }; } ->v : { pa: { pb: {}; mb: 1; }; ma: 1; } ->{ ...M } : { pa: { pb: {}; mb: 1; }; ma: 1; } +>{ v: { ...M } } : { v: {}; } +>v : {} +>{ ...M } : {} >M : typeof import("./ma") diff --git a/tsc/testdata/baselines/reference/compiler/checkOrderSpreadCycle(checkorder=isolated).types b/tsc/testdata/baselines/reference/compiler/checkOrderSpreadCycle(checkorder=isolated).types index 901461cf3d36b..216ad9304dfd7 100644 --- a/tsc/testdata/baselines/reference/compiler/checkOrderSpreadCycle(checkorder=isolated).types +++ b/tsc/testdata/baselines/reference/compiler/checkOrderSpreadCycle(checkorder=isolated).types @@ -57,12 +57,12 @@ const M = /** @type {any} */ (null); >(null) : any module.exports = { v: { ...M } }; ->module.exports = { v: { ...M } } : { v: { pa: { pb: {}; mb: 1; }; ma: 1; }; } +>module.exports = { v: { ...M } } : { v: {}; } >module.exports : { v: {}; } >module : { exports: { v: {}; }; } >exports : { v: {}; } ->{ v: { ...M } } : { v: { pa: { pb: {}; mb: 1; }; ma: 1; }; } ->v : { pa: { pb: {}; mb: 1; }; ma: 1; } ->{ ...M } : { pa: { pb: {}; mb: 1; }; ma: 1; } +>{ v: { ...M } } : { v: {}; } +>v : {} +>{ ...M } : {} >M : typeof import("./ma") diff --git a/tsc/testdata/baselines/reference/compiler/checkOrderSpreadCycle(checkorder=reverse).types b/tsc/testdata/baselines/reference/compiler/checkOrderSpreadCycle(checkorder=reverse).types index 901461cf3d36b..216ad9304dfd7 100644 --- a/tsc/testdata/baselines/reference/compiler/checkOrderSpreadCycle(checkorder=reverse).types +++ b/tsc/testdata/baselines/reference/compiler/checkOrderSpreadCycle(checkorder=reverse).types @@ -57,12 +57,12 @@ const M = /** @type {any} */ (null); >(null) : any module.exports = { v: { ...M } }; ->module.exports = { v: { ...M } } : { v: { pa: { pb: {}; mb: 1; }; ma: 1; }; } +>module.exports = { v: { ...M } } : { v: {}; } >module.exports : { v: {}; } >module : { exports: { v: {}; }; } >exports : { v: {}; } ->{ v: { ...M } } : { v: { pa: { pb: {}; mb: 1; }; ma: 1; }; } ->v : { pa: { pb: {}; mb: 1; }; ma: 1; } ->{ ...M } : { pa: { pb: {}; mb: 1; }; ma: 1; } +>{ v: { ...M } } : { v: {}; } +>v : {} +>{ ...M } : {} >M : typeof import("./ma") diff --git a/tsc/testdata/baselines/reference/compiler/checkOrderSpreadCycle(checkorder=typesfirst).types b/tsc/testdata/baselines/reference/compiler/checkOrderSpreadCycle(checkorder=typesfirst).types index 901461cf3d36b..216ad9304dfd7 100644 --- a/tsc/testdata/baselines/reference/compiler/checkOrderSpreadCycle(checkorder=typesfirst).types +++ b/tsc/testdata/baselines/reference/compiler/checkOrderSpreadCycle(checkorder=typesfirst).types @@ -57,12 +57,12 @@ const M = /** @type {any} */ (null); >(null) : any module.exports = { v: { ...M } }; ->module.exports = { v: { ...M } } : { v: { pa: { pb: {}; mb: 1; }; ma: 1; }; } +>module.exports = { v: { ...M } } : { v: {}; } >module.exports : { v: {}; } >module : { exports: { v: {}; }; } >exports : { v: {}; } ->{ v: { ...M } } : { v: { pa: { pb: {}; mb: 1; }; ma: 1; }; } ->v : { pa: { pb: {}; mb: 1; }; ma: 1; } ->{ ...M } : { pa: { pb: {}; mb: 1; }; ma: 1; } +>{ v: { ...M } } : { v: {}; } +>v : {} +>{ ...M } : {} >M : typeof import("./ma") diff --git a/tsc/testdata/baselines/reference/compiler/clonedTypeParameterUnionOrder(checkorder=default).types b/tsc/testdata/baselines/reference/compiler/clonedTypeParameterUnionOrder(checkorder=default).types index 487cdba50bc87..8b93c5f3f8987 100644 --- a/tsc/testdata/baselines/reference/compiler/clonedTypeParameterUnionOrder(checkorder=default).types +++ b/tsc/testdata/baselines/reference/compiler/clonedTypeParameterUnionOrder(checkorder=default).types @@ -34,8 +34,8 @@ declare const c: boolean; >c : boolean const r = c ? call(bs.m) : call(bn.m); ->r : ((x: T) => Pair) | ((x: T) => Pair) ->c ? call(bs.m) : call(bn.m) : ((x: T) => Pair) | ((x: T) => Pair) +>r : ((x: T) => Pair) | ((x: T) => Pair) +>c ? call(bs.m) : call(bn.m) : ((x: T) => Pair) | ((x: T) => Pair) >c : boolean >call(bs.m) : (x: T) => Pair >call : (f: (x: A) => R) => (x: A) => R diff --git a/tsc/testdata/baselines/reference/compiler/clonedTypeParameterUnionOrder(checkorder=typesfirst).types b/tsc/testdata/baselines/reference/compiler/clonedTypeParameterUnionOrder(checkorder=typesfirst).types index 487cdba50bc87..8b93c5f3f8987 100644 --- a/tsc/testdata/baselines/reference/compiler/clonedTypeParameterUnionOrder(checkorder=typesfirst).types +++ b/tsc/testdata/baselines/reference/compiler/clonedTypeParameterUnionOrder(checkorder=typesfirst).types @@ -34,8 +34,8 @@ declare const c: boolean; >c : boolean const r = c ? call(bs.m) : call(bn.m); ->r : ((x: T) => Pair) | ((x: T) => Pair) ->c ? call(bs.m) : call(bn.m) : ((x: T) => Pair) | ((x: T) => Pair) +>r : ((x: T) => Pair) | ((x: T) => Pair) +>c ? call(bs.m) : call(bn.m) : ((x: T) => Pair) | ((x: T) => Pair) >c : boolean >call(bs.m) : (x: T) => Pair >call : (f: (x: A) => R) => (x: A) => R diff --git a/tsc/testdata/baselines/reference/compiler/indexedAccessAccessFlagsUnionOrder(checkorder=default).errors.txt b/tsc/testdata/baselines/reference/compiler/indexedAccessAccessFlagsUnionOrder(checkorder=default).errors.txt deleted file mode 100644 index b1e49290327ec..0000000000000 --- a/tsc/testdata/baselines/reference/compiler/indexedAccessAccessFlagsUnionOrder(checkorder=default).errors.txt +++ /dev/null @@ -1,22 +0,0 @@ -indexedAccessAccessFlagsUnionOrder.ts(3,11): error TS2322: Type 'string | undefined' is not assignable to type 'string'. - Type 'undefined' is not assignable to type 'string'. -indexedAccessAccessFlagsUnionOrder.ts(5,11): error TS2322: Type 'string | undefined' is not assignable to type 'string'. - Type 'undefined' is not assignable to type 'string'. - - -==== indexedAccessAccessFlagsUnionOrder.ts (2 errors) ==== - function f, K extends keyof T>(obj: T, k: K, b: boolean) { - const x = b ? obj[k] : g(); - const s1: string = x; - ~~ -!!! error TS2322: Type 'string | undefined' is not assignable to type 'string'. -!!! error TS2322: Type 'undefined' is not assignable to type 'string'. - const y = b ? g() : obj[k]; - const s2: string = y; - ~~ -!!! error TS2322: Type 'string | undefined' is not assignable to type 'string'. -!!! error TS2322: Type 'undefined' is not assignable to type 'string'. - } - - declare function g(): T[K]; - \ No newline at end of file diff --git a/tsc/testdata/baselines/reference/compiler/indexedAccessAccessFlagsUnionOrder(checkorder=default).types b/tsc/testdata/baselines/reference/compiler/indexedAccessAccessFlagsUnionOrder(checkorder=default).types index 5f8f696fbf930..3842ea2cb6352 100644 --- a/tsc/testdata/baselines/reference/compiler/indexedAccessAccessFlagsUnionOrder(checkorder=default).types +++ b/tsc/testdata/baselines/reference/compiler/indexedAccessAccessFlagsUnionOrder(checkorder=default).types @@ -19,7 +19,7 @@ function f, K extends keyof T>(obj: T, k: K, b: const s1: string = x; >s1 : string ->x : string | undefined +>x : T[K] const y = b ? g() : obj[k]; >y : T[K] @@ -33,7 +33,7 @@ function f, K extends keyof T>(obj: T, k: K, b: const s2: string = y; >s2 : string ->y : string | undefined +>y : T[K] } declare function g(): T[K]; diff --git a/tsc/testdata/baselines/reference/compiler/inferenceDeeplyNestedCheckOrder.errors.txt b/tsc/testdata/baselines/reference/compiler/inferenceDeeplyNestedCheckOrder.errors.txt index 32e5d2c00be81..b98c3dd4a3075 100644 --- a/tsc/testdata/baselines/reference/compiler/inferenceDeeplyNestedCheckOrder.errors.txt +++ b/tsc/testdata/baselines/reference/compiler/inferenceDeeplyNestedCheckOrder.errors.txt @@ -1,4 +1,4 @@ -first.ts(3,7): error TS2322: Type 'unknown[]' is not assignable to type 'null'. +first.ts(3,7): error TS2322: Type 'string[]' is not assignable to type 'null'. second.ts(6,7): error TS2322: Type 'number[]' is not assignable to type 'null'. @@ -7,7 +7,7 @@ second.ts(6,7): error TS2322: Type 'number[]' is not assignable to type 'null'. declare const lists1: string[][]; const flat1: null = flatten1(lists1); ~~~~~ -!!! error TS2322: Type 'unknown[]' is not assignable to type 'null'. +!!! error TS2322: Type 'string[]' is not assignable to type 'null'. declare const items1: string[]; for (const item of items1) {} diff --git a/tsc/testdata/baselines/reference/compiler/inferenceDeeplyNestedCheckOrder.types b/tsc/testdata/baselines/reference/compiler/inferenceDeeplyNestedCheckOrder.types index c1fc223370a61..a4b3f46e454aa 100644 --- a/tsc/testdata/baselines/reference/compiler/inferenceDeeplyNestedCheckOrder.types +++ b/tsc/testdata/baselines/reference/compiler/inferenceDeeplyNestedCheckOrder.types @@ -10,7 +10,7 @@ declare const lists1: string[][]; const flat1: null = flatten1(lists1); >flat1 : null ->flatten1(lists1) : unknown[] +>flatten1(lists1) : string[] >flatten1 : (iterable: Iterable>) => T[] >lists1 : string[][] diff --git a/tsc/testdata/baselines/reference/compiler/jsFunctionWithPrototypeNoErrorTruncationNoCrash.types b/tsc/testdata/baselines/reference/compiler/jsFunctionWithPrototypeNoErrorTruncationNoCrash.types index 4a0539f482866..de17cf44aec12 100644 --- a/tsc/testdata/baselines/reference/compiler/jsFunctionWithPrototypeNoErrorTruncationNoCrash.types +++ b/tsc/testdata/baselines/reference/compiler/jsFunctionWithPrototypeNoErrorTruncationNoCrash.types @@ -2,7 +2,7 @@ === index.js === function Color(obj) { ->Color : { (obj: any): void; prototype: { negate: () => { negate: () => any; lighten: (ratio: any) => any; darken: (ratio: any) => any; saturate: (ratio: any) => any; desaturate: (ratio: any) => any; whiten: (ratio: any) => any; blacken: (ratio: any) => any; greyscale: () => any; clearer: (ratio: any) => any; toJSON: () => any; }; lighten: (ratio: any) => any; darken: (ratio: any) => any; saturate: (ratio: any) => any; desaturate: (ratio: any) => any; whiten: (ratio: any) => any; blacken: (ratio: any) => any; greyscale: () => { negate: () => any; lighten: (ratio: any) => any; darken: (ratio: any) => any; saturate: (ratio: any) => any; desaturate: (ratio: any) => any; whiten: (ratio: any) => any; blacken: (ratio: any) => any; greyscale: () => any; clearer: (ratio: any) => any; toJSON: () => any; }; clearer: (ratio: any) => any; toJSON: () => any; }; } +>Color : { (obj: any): void; prototype: { negate: () => any; lighten: (ratio: any) => any; darken: (ratio: any) => any; saturate: (ratio: any) => any; desaturate: (ratio: any) => any; whiten: (ratio: any) => any; blacken: (ratio: any) => any; greyscale: () => any; clearer: (ratio: any) => any; toJSON: () => any; }; } >obj : any this.example = true @@ -15,9 +15,9 @@ function Color(obj) { }; Color.prototype = { >Color.prototype = { negate: function () {return this;}, lighten: function (ratio) {return this;}, darken: function (ratio) {return this;}, saturate: function (ratio) {return this;}, desaturate: function (ratio) {return this;}, whiten: function (ratio) {return this;}, blacken: function (ratio) {return this;}, greyscale: function () {return this;}, clearer: function (ratio) {return this;}, toJSON: function () {return this.rgb();},} : { negate: () => { negate: () => any; lighten: (ratio: any) => any; darken: (ratio: any) => any; saturate: (ratio: any) => any; desaturate: (ratio: any) => any; whiten: (ratio: any) => any; blacken: (ratio: any) => any; greyscale: () => any; clearer: (ratio: any) => any; toJSON: () => any; }; lighten: (ratio: any) => any; darken: (ratio: any) => any; saturate: (ratio: any) => any; desaturate: (ratio: any) => any; whiten: (ratio: any) => any; blacken: (ratio: any) => any; greyscale: () => { negate: () => any; lighten: (ratio: any) => any; darken: (ratio: any) => any; saturate: (ratio: any) => any; desaturate: (ratio: any) => any; whiten: (ratio: any) => any; blacken: (ratio: any) => any; greyscale: () => any; clearer: (ratio: any) => any; toJSON: () => any; }; clearer: (ratio: any) => any; toJSON: () => any; } ->Color.prototype : { negate: () => { negate: () => any; lighten: (ratio: any) => any; darken: (ratio: any) => any; saturate: (ratio: any) => any; desaturate: (ratio: any) => any; whiten: (ratio: any) => any; blacken: (ratio: any) => any; greyscale: () => any; clearer: (ratio: any) => any; toJSON: () => any; }; lighten: (ratio: any) => any; darken: (ratio: any) => any; saturate: (ratio: any) => any; desaturate: (ratio: any) => any; whiten: (ratio: any) => any; blacken: (ratio: any) => any; greyscale: () => { negate: () => any; lighten: (ratio: any) => any; darken: (ratio: any) => any; saturate: (ratio: any) => any; desaturate: (ratio: any) => any; whiten: (ratio: any) => any; blacken: (ratio: any) => any; greyscale: () => any; clearer: (ratio: any) => any; toJSON: () => any; }; clearer: (ratio: any) => any; toJSON: () => any; } ->Color : { (obj: any): void; prototype: { negate: () => { negate: () => any; lighten: (ratio: any) => any; darken: (ratio: any) => any; saturate: (ratio: any) => any; desaturate: (ratio: any) => any; whiten: (ratio: any) => any; blacken: (ratio: any) => any; greyscale: () => any; clearer: (ratio: any) => any; toJSON: () => any; }; lighten: (ratio: any) => any; darken: (ratio: any) => any; saturate: (ratio: any) => any; desaturate: (ratio: any) => any; whiten: (ratio: any) => any; blacken: (ratio: any) => any; greyscale: () => { negate: () => any; lighten: (ratio: any) => any; darken: (ratio: any) => any; saturate: (ratio: any) => any; desaturate: (ratio: any) => any; whiten: (ratio: any) => any; blacken: (ratio: any) => any; greyscale: () => any; clearer: (ratio: any) => any; toJSON: () => any; }; clearer: (ratio: any) => any; toJSON: () => any; }; } ->prototype : { negate: () => { negate: () => any; lighten: (ratio: any) => any; darken: (ratio: any) => any; saturate: (ratio: any) => any; desaturate: (ratio: any) => any; whiten: (ratio: any) => any; blacken: (ratio: any) => any; greyscale: () => any; clearer: (ratio: any) => any; toJSON: () => any; }; lighten: (ratio: any) => any; darken: (ratio: any) => any; saturate: (ratio: any) => any; desaturate: (ratio: any) => any; whiten: (ratio: any) => any; blacken: (ratio: any) => any; greyscale: () => { negate: () => any; lighten: (ratio: any) => any; darken: (ratio: any) => any; saturate: (ratio: any) => any; desaturate: (ratio: any) => any; whiten: (ratio: any) => any; blacken: (ratio: any) => any; greyscale: () => any; clearer: (ratio: any) => any; toJSON: () => any; }; clearer: (ratio: any) => any; toJSON: () => any; } +>Color.prototype : { negate: () => any; lighten: (ratio: any) => any; darken: (ratio: any) => any; saturate: (ratio: any) => any; desaturate: (ratio: any) => any; whiten: (ratio: any) => any; blacken: (ratio: any) => any; greyscale: () => any; clearer: (ratio: any) => any; toJSON: () => any; } +>Color : { (obj: any): void; prototype: { negate: () => any; lighten: (ratio: any) => any; darken: (ratio: any) => any; saturate: (ratio: any) => any; desaturate: (ratio: any) => any; whiten: (ratio: any) => any; blacken: (ratio: any) => any; greyscale: () => any; clearer: (ratio: any) => any; toJSON: () => any; }; } +>prototype : { negate: () => any; lighten: (ratio: any) => any; darken: (ratio: any) => any; saturate: (ratio: any) => any; desaturate: (ratio: any) => any; whiten: (ratio: any) => any; blacken: (ratio: any) => any; greyscale: () => any; clearer: (ratio: any) => any; toJSON: () => any; } >{ negate: function () {return this;}, lighten: function (ratio) {return this;}, darken: function (ratio) {return this;}, saturate: function (ratio) {return this;}, desaturate: function (ratio) {return this;}, whiten: function (ratio) {return this;}, blacken: function (ratio) {return this;}, greyscale: function () {return this;}, clearer: function (ratio) {return this;}, toJSON: function () {return this.rgb();},} : { negate: () => { negate: () => any; lighten: (ratio: any) => any; darken: (ratio: any) => any; saturate: (ratio: any) => any; desaturate: (ratio: any) => any; whiten: (ratio: any) => any; blacken: (ratio: any) => any; greyscale: () => any; clearer: (ratio: any) => any; toJSON: () => any; }; lighten: (ratio: any) => any; darken: (ratio: any) => any; saturate: (ratio: any) => any; desaturate: (ratio: any) => any; whiten: (ratio: any) => any; blacken: (ratio: any) => any; greyscale: () => { negate: () => any; lighten: (ratio: any) => any; darken: (ratio: any) => any; saturate: (ratio: any) => any; desaturate: (ratio: any) => any; whiten: (ratio: any) => any; blacken: (ratio: any) => any; greyscale: () => any; clearer: (ratio: any) => any; toJSON: () => any; }; clearer: (ratio: any) => any; toJSON: () => any; } negate: function () {return this;}, diff --git a/tsc/testdata/baselines/reference/compiler/namespaceMembersResolutionOrderExportStar.types b/tsc/testdata/baselines/reference/compiler/namespaceMembersResolutionOrderExportStar.types index 179ce8b0ee07e..0153880cec8d7 100644 --- a/tsc/testdata/baselines/reference/compiler/namespaceMembersResolutionOrderExportStar.types +++ b/tsc/testdata/baselines/reference/compiler/namespaceMembersResolutionOrderExportStar.types @@ -69,9 +69,9 @@ const M = /** @type {any} */ (null); const o = { v: { ...M } }; >o : { v: {}; } ->{ v: { ...M } } : { v: { pb: { pa: {}; ma: 1; }; mb: 1; }; } ->v : { pb: { pa: {}; ma: 1; }; mb: 1; } ->{ ...M } : { pb: { pa: {}; ma: 1; }; mb: 1; } +>{ v: { ...M } } : { v: {}; } +>v : {} +>{ ...M } : {} >M : typeof import("./mb") module.exports = o; diff --git a/tsc/testdata/baselines/reference/compiler/nestedSpreadsAndWidening.types b/tsc/testdata/baselines/reference/compiler/nestedSpreadsAndWidening.types index 811f7fa0ac83f..939c5597d5f60 100644 --- a/tsc/testdata/baselines/reference/compiler/nestedSpreadsAndWidening.types +++ b/tsc/testdata/baselines/reference/compiler/nestedSpreadsAndWidening.types @@ -120,19 +120,19 @@ declare const step: Action; read({ >read({ ...step, settings: { ...step.settings, input: { ...step.settings.input, k: ['5'] } },}) : void >read : (arg: T) => void ->{ ...step, settings: { ...step.settings, input: { ...step.settings.input, k: ['5'] } },} : { type: "1"; settings: { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; }; } | { type: "2"; settings: { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; }; } | { type: "3"; settings: { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | any | any; } | any | any +>{ ...step, settings: { ...step.settings, input: { ...step.settings.input, k: ['5'] } },} : { type: "1"; settings: { input: { k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; }; }; } | { type: "10"; settings: { input: { k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; }; }; } | { type: "11"; settings: { input: { k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; }; }; } | { type: "2"; settings: { input: { k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; }; }; } | { type: "3"; settings: { input: { k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; }; }; } | { type: "4"; settings: { input: { k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; }; }; } | { type: "5"; settings: { input: { k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; }; }; } | { type: "6"; settings: { input: { k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; }; }; } | { type: "7"; settings: { input: { k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; }; }; } | { type: "8"; settings: { input: { k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; }; }; } | { type: "9"; settings: { input: { k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; }; }; } ...step, >step : Action settings: { ...step.settings, input: { ...step.settings.input, k: ['5'] } }, ->settings : { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } ->{ ...step.settings, input: { ...step.settings.input, k: ['5'] } } : { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } | { input: { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; }; } +>settings : { input: { k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; }; } +>{ ...step.settings, input: { ...step.settings.input, k: ['5'] } } : { input: { k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; }; } >step.settings : ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S1) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S10) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S11) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S2) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S3) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S4) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S5) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S6) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S7) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S8) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S9) >step : Action >settings : ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S1) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S10) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S11) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S2) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S3) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S4) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S5) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S6) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S7) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S8) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S9) ->input : { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } ->{ ...step.settings.input, k: ['5'] } : { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { a: number; k: string[]; } | { a: number; b: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { b: number; c: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { b: number; d: number; k: string[]; } | { c: number; d: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { b: number; e: number; k: string[]; } | { c: number; e: number; k: string[]; } | { d: number; e: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { b: number; f: number; k: string[]; } | { c: number; f: number; k: string[]; } | { d: number; f: number; k: string[]; } | { e: number; f: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { b: number; g: number; k: string[]; } | { c: number; g: number; k: string[]; } | { d: number; g: number; k: string[]; } | { e: number; g: number; k: string[]; } | { f: number; g: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { b: number; h: number; k: string[]; } | { c: number; h: number; k: string[]; } | { d: number; h: number; k: string[]; } | { e: number; h: number; k: string[]; } | { f: number; h: number; k: string[]; } | { g: number; h: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { b: number; i: number; k: string[]; } | { c: number; i: number; k: string[]; } | { d: number; i: number; k: string[]; } | { e: number; i: number; k: string[]; } | { f: number; i: number; k: string[]; } | { g: number; i: number; k: string[]; } | { h: number; i: number; k: string[]; } | { i: number; j: number; k: string[]; } | { i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } | { j: number; k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } +>input : { k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } +>{ ...step.settings.input, k: ['5'] } : { k: string[]; } | { a: number; k: string[]; } | { b: number; k: string[]; } | { c: number; k: string[]; } | { d: number; k: string[]; } | { e: number; k: string[]; } | { f: number; k: string[]; } | { g: number; k: string[]; } | { h: number; k: string[]; } | { i: number; k: string[]; } | { j: number; k: string[]; } | { a: number; b: number; k: string[]; } | { a: number; c: number; k: string[]; } | { a: number; d: number; k: string[]; } | { a: number; e: number; k: string[]; } | { a: number; f: number; k: string[]; } | { a: number; g: number; k: string[]; } | { a: number; h: number; k: string[]; } | { a: number; i: number; k: string[]; } | { a: number; j: number; k: string[]; } | { b: number; c: number; k: string[]; } | { b: number; d: number; k: string[]; } | { b: number; e: number; k: string[]; } | { b: number; f: number; k: string[]; } | { b: number; g: number; k: string[]; } | { b: number; h: number; k: string[]; } | { b: number; i: number; k: string[]; } | { b: number; j: number; k: string[]; } | { c: number; d: number; k: string[]; } | { c: number; e: number; k: string[]; } | { c: number; f: number; k: string[]; } | { c: number; g: number; k: string[]; } | { c: number; h: number; k: string[]; } | { c: number; i: number; k: string[]; } | { c: number; j: number; k: string[]; } | { d: number; e: number; k: string[]; } | { d: number; f: number; k: string[]; } | { d: number; g: number; k: string[]; } | { d: number; h: number; k: string[]; } | { d: number; i: number; k: string[]; } | { d: number; j: number; k: string[]; } | { e: number; f: number; k: string[]; } | { e: number; g: number; k: string[]; } | { e: number; h: number; k: string[]; } | { e: number; i: number; k: string[]; } | { e: number; j: number; k: string[]; } | { f: number; g: number; k: string[]; } | { f: number; h: number; k: string[]; } | { f: number; i: number; k: string[]; } | { f: number; j: number; k: string[]; } | { g: number; h: number; k: string[]; } | { g: number; i: number; k: string[]; } | { g: number; j: number; k: string[]; } | { h: number; i: number; k: string[]; } | { h: number; j: number; k: string[]; } | { i: number; j: number; k: string[]; } >step.settings.input : { a: number; } | { b: number; } | { c: number; } | { d: number; } | { e: number; } | { f: number; } | { g: number; } | { h: number; } | { i: number; } | { j: number; } | { k?: string[]; } | ({ a: number; } & { b: number; }) | ({ a: number; } & { c: number; }) | ({ a: number; } & { d: number; }) | ({ a: number; } & { e: number; }) | ({ a: number; } & { f: number; }) | ({ a: number; } & { g: number; }) | ({ a: number; } & { h: number; }) | ({ a: number; } & { i: number; }) | ({ a: number; } & { j: number; }) | ({ a: number; } & { k?: string[]; }) | ({ b: number; } & { a: number; }) | ({ b: number; } & { c: number; }) | ({ b: number; } & { d: number; }) | ({ b: number; } & { e: number; }) | ({ b: number; } & { f: number; }) | ({ b: number; } & { g: number; }) | ({ b: number; } & { h: number; }) | ({ b: number; } & { i: number; }) | ({ b: number; } & { j: number; }) | ({ b: number; } & { k?: string[]; }) | ({ c: number; } & { a: number; }) | ({ c: number; } & { b: number; }) | ({ c: number; } & { d: number; }) | ({ c: number; } & { e: number; }) | ({ c: number; } & { f: number; }) | ({ c: number; } & { g: number; }) | ({ c: number; } & { h: number; }) | ({ c: number; } & { i: number; }) | ({ c: number; } & { j: number; }) | ({ c: number; } & { k?: string[]; }) | ({ d: number; } & { a: number; }) | ({ d: number; } & { b: number; }) | ({ d: number; } & { c: number; }) | ({ d: number; } & { e: number; }) | ({ d: number; } & { f: number; }) | ({ d: number; } & { g: number; }) | ({ d: number; } & { h: number; }) | ({ d: number; } & { i: number; }) | ({ d: number; } & { j: number; }) | ({ d: number; } & { k?: string[]; }) | ({ e: number; } & { a: number; }) | ({ e: number; } & { b: number; }) | ({ e: number; } & { c: number; }) | ({ e: number; } & { d: number; }) | ({ e: number; } & { f: number; }) | ({ e: number; } & { g: number; }) | ({ e: number; } & { h: number; }) | ({ e: number; } & { i: number; }) | ({ e: number; } & { j: number; }) | ({ e: number; } & { k?: string[]; }) | ({ f: number; } & { a: number; }) | ({ f: number; } & { b: number; }) | ({ f: number; } & { c: number; }) | ({ f: number; } & { d: number; }) | ({ f: number; } & { e: number; }) | ({ f: number; } & { g: number; }) | ({ f: number; } & { h: number; }) | ({ f: number; } & { i: number; }) | ({ f: number; } & { j: number; }) | ({ f: number; } & { k?: string[]; }) | ({ g: number; } & { a: number; }) | ({ g: number; } & { b: number; }) | ({ g: number; } & { c: number; }) | ({ g: number; } & { d: number; }) | ({ g: number; } & { e: number; }) | ({ g: number; } & { f: number; }) | ({ g: number; } & { h: number; }) | ({ g: number; } & { i: number; }) | ({ g: number; } & { j: number; }) | ({ g: number; } & { k?: string[]; }) | ({ h: number; } & { a: number; }) | ({ h: number; } & { b: number; }) | ({ h: number; } & { c: number; }) | ({ h: number; } & { d: number; }) | ({ h: number; } & { e: number; }) | ({ h: number; } & { f: number; }) | ({ h: number; } & { g: number; }) | ({ h: number; } & { i: number; }) | ({ h: number; } & { j: number; }) | ({ h: number; } & { k?: string[]; }) | ({ i: number; } & { a: number; }) | ({ i: number; } & { b: number; }) | ({ i: number; } & { c: number; }) | ({ i: number; } & { d: number; }) | ({ i: number; } & { e: number; }) | ({ i: number; } & { f: number; }) | ({ i: number; } & { g: number; }) | ({ i: number; } & { h: number; }) | ({ i: number; } & { j: number; }) | ({ i: number; } & { k?: string[]; }) | ({ j: number; } & { a: number; }) | ({ j: number; } & { b: number; }) | ({ j: number; } & { c: number; }) | ({ j: number; } & { d: number; }) | ({ j: number; } & { e: number; }) | ({ j: number; } & { f: number; }) | ({ j: number; } & { g: number; }) | ({ j: number; } & { h: number; }) | ({ j: number; } & { i: number; }) | ({ j: number; } & { k?: string[]; }) | ({ k?: string[]; } & { a: number; }) | ({ k?: string[]; } & { b: number; }) | ({ k?: string[]; } & { c: number; }) | ({ k?: string[]; } & { d: number; }) | ({ k?: string[]; } & { e: number; }) | ({ k?: string[]; } & { f: number; }) | ({ k?: string[]; } & { g: number; }) | ({ k?: string[]; } & { h: number; }) | ({ k?: string[]; } & { i: number; }) | ({ k?: string[]; } & { j: number; }) >step.settings : ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S1) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S10) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S11) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S2) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S3) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S4) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S5) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S6) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S7) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S8) | ((S1 | S10 | S11 | S2 | S3 | S4 | S5 | S6 | S7 | S8 | S9) & S9) >step : Action diff --git a/tsc/testdata/baselines/reference/compiler/noFlakyDeclarationEmitSharedCheckerOrder.types b/tsc/testdata/baselines/reference/compiler/noFlakyDeclarationEmitSharedCheckerOrder.types index cde44436bf6e0..07b1f23ab8990 100644 --- a/tsc/testdata/baselines/reference/compiler/noFlakyDeclarationEmitSharedCheckerOrder.types +++ b/tsc/testdata/baselines/reference/compiler/noFlakyDeclarationEmitSharedCheckerOrder.types @@ -26,9 +26,9 @@ const M = /** @type {any} */ (null); const o = { v: { ...M } }; >o : { v: {}; } ->{ v: { ...M } } : { v: { pb: { pa: {}; ma: 1; }; mb: 1; }; } ->v : { pb: { pa: {}; ma: 1; }; mb: 1; } ->{ ...M } : { pb: { pa: {}; ma: 1; }; mb: 1; } +>{ v: { ...M } } : { v: {}; } +>v : {} +>{ ...M } : {} >M : typeof import("./mb") module.exports = o; diff --git a/tsc/testdata/baselines/reference/compiler/noFlakyDiagnosticsNamespaceMembersResolutionOrder.types b/tsc/testdata/baselines/reference/compiler/noFlakyDiagnosticsNamespaceMembersResolutionOrder.types index 7813095f076be..753e075741287 100644 --- a/tsc/testdata/baselines/reference/compiler/noFlakyDiagnosticsNamespaceMembersResolutionOrder.types +++ b/tsc/testdata/baselines/reference/compiler/noFlakyDiagnosticsNamespaceMembersResolutionOrder.types @@ -89,9 +89,9 @@ const M = /** @type {any} */ (null); const o = { v: { ...M } }; >o : { v: {}; } ->{ v: { ...M } } : { v: { pa: { pb: {}; mb: 1; }; ma: 1; }; } ->v : { pa: { pb: {}; mb: 1; }; ma: 1; } ->{ ...M } : { pa: { pb: {}; mb: 1; }; ma: 1; } +>{ v: { ...M } } : { v: {}; } +>v : {} +>{ ...M } : {} >M : typeof import("./ma") module.exports = o; diff --git a/tsc/testdata/baselines/reference/compiler/noFlakyDiagnosticsNamespaceMembersResolutionOrderReexportedTypes.types b/tsc/testdata/baselines/reference/compiler/noFlakyDiagnosticsNamespaceMembersResolutionOrderReexportedTypes.types index acecbd2516c82..53a815348e451 100644 --- a/tsc/testdata/baselines/reference/compiler/noFlakyDiagnosticsNamespaceMembersResolutionOrderReexportedTypes.types +++ b/tsc/testdata/baselines/reference/compiler/noFlakyDiagnosticsNamespaceMembersResolutionOrderReexportedTypes.types @@ -89,9 +89,9 @@ const M = /** @type {any} */ (null); const o = { v: { ...M } }; >o : { v: {}; } ->{ v: { ...M } } : { v: { pa: { pb: {}; mb: 1; }; ma: 1; }; } ->v : { pa: { pb: {}; mb: 1; }; ma: 1; } ->{ ...M } : { pa: { pb: {}; mb: 1; }; ma: 1; } +>{ v: { ...M } } : { v: {}; } +>v : {} +>{ ...M } : {} >M : typeof import("./ma") module.exports = o; diff --git a/tsc/testdata/baselines/reference/compiler/noImplicitAnyUnionNormalizedObjectLiteral1.types b/tsc/testdata/baselines/reference/compiler/noImplicitAnyUnionNormalizedObjectLiteral1.types index ecefa9258056c..c25988851e359 100644 --- a/tsc/testdata/baselines/reference/compiler/noImplicitAnyUnionNormalizedObjectLiteral1.types +++ b/tsc/testdata/baselines/reference/compiler/noImplicitAnyUnionNormalizedObjectLiteral1.types @@ -36,8 +36,8 @@ function doSthWithParams(params: unknown) { } const bar = { ->bar : { c?: undefined; p: any; s: any; } | { c: string; p: string; s: string; } ->{ p: null, s: null, ...doSthWithParams({ p: "hello", s: "world", }),} : { c?: undefined; p: null; s: null; } | { c: string; p: string; s: string; } +>bar : { c: string; p: string; s: string; } | { c?: undefined; p: any; s: any; } +>{ p: null, s: null, ...doSthWithParams({ p: "hello", s: "world", }),} : { c: string; p: string; s: string; } | { c?: undefined; p: null; s: null; } p: null, >p : null diff --git a/tsc/testdata/baselines/reference/compiler/objectInstantiationFromUnionSpread.types b/tsc/testdata/baselines/reference/compiler/objectInstantiationFromUnionSpread.types index 25ef32588b01c..5bc7169b9dc27 100644 --- a/tsc/testdata/baselines/reference/compiler/objectInstantiationFromUnionSpread.types +++ b/tsc/testdata/baselines/reference/compiler/objectInstantiationFromUnionSpread.types @@ -23,20 +23,20 @@ function f1(a: Item[]) { >a : Item[] a.map(item => ({ ...item })).filter(value => {}); ->a.map(item => ({ ...item })).filter(value => {}) : ({ isSuccess: false; } | { isSuccess: true; })[] ->a.map(item => ({ ...item })).filter : { (predicate: (value: { isSuccess: false; } | { isSuccess: true; }, index: number, array: ({ isSuccess: false; } | { isSuccess: true; })[]) => value is S, thisArg?: any): S[]; (predicate: (value: { isSuccess: false; } | { isSuccess: true; }, index: number, array: ({ isSuccess: false; } | { isSuccess: true; })[]) => unknown, thisArg?: any): ({ isSuccess: false; } | { isSuccess: true; })[]; } ->a.map(item => ({ ...item })) : ({ isSuccess: false; } | { isSuccess: true; })[] +>a.map(item => ({ ...item })).filter(value => {}) : ({ isSuccess: true; } | { isSuccess: false; })[] +>a.map(item => ({ ...item })).filter : { (predicate: (value: { isSuccess: true; } | { isSuccess: false; }, index: number, array: ({ isSuccess: true; } | { isSuccess: false; })[]) => value is S, thisArg?: any): S[]; (predicate: (value: { isSuccess: true; } | { isSuccess: false; }, index: number, array: ({ isSuccess: true; } | { isSuccess: false; })[]) => unknown, thisArg?: any): ({ isSuccess: true; } | { isSuccess: false; })[]; } +>a.map(item => ({ ...item })) : ({ isSuccess: true; } | { isSuccess: false; })[] >a.map : (callbackfn: (value: Item, index: number, array: Item[]) => U, thisArg?: any) => U[] >a : Item[] >map : (callbackfn: (value: Item, index: number, array: Item[]) => U, thisArg?: any) => U[] ->item => ({ ...item }) : (item: Item) => { isSuccess: false; } | { isSuccess: true; } +>item => ({ ...item }) : (item: Item) => { isSuccess: true; } | { isSuccess: false; } >item : Item ->({ ...item }) : { isSuccess: false; } | { isSuccess: true; } ->{ ...item } : { isSuccess: false; } | { isSuccess: true; } +>({ ...item }) : { isSuccess: true; } | { isSuccess: false; } +>{ ...item } : { isSuccess: true; } | { isSuccess: false; } >item : Item ->filter : { (predicate: (value: { isSuccess: false; } | { isSuccess: true; }, index: number, array: ({ isSuccess: false; } | { isSuccess: true; })[]) => value is S, thisArg?: any): S[]; (predicate: (value: { isSuccess: false; } | { isSuccess: true; }, index: number, array: ({ isSuccess: false; } | { isSuccess: true; })[]) => unknown, thisArg?: any): ({ isSuccess: false; } | { isSuccess: true; })[]; } ->value => {} : (value: { isSuccess: false; } | { isSuccess: true; }) => void ->value : { isSuccess: false; } | { isSuccess: true; } +>filter : { (predicate: (value: { isSuccess: true; } | { isSuccess: false; }, index: number, array: ({ isSuccess: true; } | { isSuccess: false; })[]) => value is S, thisArg?: any): S[]; (predicate: (value: { isSuccess: true; } | { isSuccess: false; }, index: number, array: ({ isSuccess: true; } | { isSuccess: false; })[]) => unknown, thisArg?: any): ({ isSuccess: true; } | { isSuccess: false; })[]; } +>value => {} : (value: { isSuccess: true; } | { isSuccess: false; }) => void +>value : { isSuccess: true; } | { isSuccess: false; } } function f2(a: Item[]) { @@ -44,19 +44,19 @@ function f2(a: Item[]) { >a : Item[] a.map(item => ({ ...item })).filter(value => {}); ->a.map(item => ({ ...item })).filter(value => {}) : ({ isSuccess: false; } | { isSuccess: true; })[] ->a.map(item => ({ ...item })).filter : { (predicate: (value: { isSuccess: false; } | { isSuccess: true; }, index: number, array: ({ isSuccess: false; } | { isSuccess: true; })[]) => value is S, thisArg?: any): S[]; (predicate: (value: { isSuccess: false; } | { isSuccess: true; }, index: number, array: ({ isSuccess: false; } | { isSuccess: true; })[]) => unknown, thisArg?: any): ({ isSuccess: false; } | { isSuccess: true; })[]; } ->a.map(item => ({ ...item })) : ({ isSuccess: false; } | { isSuccess: true; })[] +>a.map(item => ({ ...item })).filter(value => {}) : ({ isSuccess: true; } | { isSuccess: false; })[] +>a.map(item => ({ ...item })).filter : { (predicate: (value: { isSuccess: true; } | { isSuccess: false; }, index: number, array: ({ isSuccess: true; } | { isSuccess: false; })[]) => value is S, thisArg?: any): S[]; (predicate: (value: { isSuccess: true; } | { isSuccess: false; }, index: number, array: ({ isSuccess: true; } | { isSuccess: false; })[]) => unknown, thisArg?: any): ({ isSuccess: true; } | { isSuccess: false; })[]; } +>a.map(item => ({ ...item })) : ({ isSuccess: true; } | { isSuccess: false; })[] >a.map : (callbackfn: (value: Item, index: number, array: Item[]) => U, thisArg?: any) => U[] >a : Item[] >map : (callbackfn: (value: Item, index: number, array: Item[]) => U, thisArg?: any) => U[] ->item => ({ ...item }) : (item: Item) => { isSuccess: false; } | { isSuccess: true; } +>item => ({ ...item }) : (item: Item) => { isSuccess: true; } | { isSuccess: false; } >item : Item ->({ ...item }) : { isSuccess: false; } | { isSuccess: true; } ->{ ...item } : { isSuccess: false; } | { isSuccess: true; } +>({ ...item }) : { isSuccess: true; } | { isSuccess: false; } +>{ ...item } : { isSuccess: true; } | { isSuccess: false; } >item : Item ->filter : { (predicate: (value: { isSuccess: false; } | { isSuccess: true; }, index: number, array: ({ isSuccess: false; } | { isSuccess: true; })[]) => value is S, thisArg?: any): S[]; (predicate: (value: { isSuccess: false; } | { isSuccess: true; }, index: number, array: ({ isSuccess: false; } | { isSuccess: true; })[]) => unknown, thisArg?: any): ({ isSuccess: false; } | { isSuccess: true; })[]; } ->value => {} : (value: { isSuccess: false; } | { isSuccess: true; }) => void ->value : { isSuccess: false; } | { isSuccess: true; } +>filter : { (predicate: (value: { isSuccess: true; } | { isSuccess: false; }, index: number, array: ({ isSuccess: true; } | { isSuccess: false; })[]) => value is S, thisArg?: any): S[]; (predicate: (value: { isSuccess: true; } | { isSuccess: false; }, index: number, array: ({ isSuccess: true; } | { isSuccess: false; })[]) => unknown, thisArg?: any): ({ isSuccess: true; } | { isSuccess: false; })[]; } +>value => {} : (value: { isSuccess: true; } | { isSuccess: false; }) => void +>value : { isSuccess: true; } | { isSuccess: false; } } diff --git a/tsc/testdata/baselines/reference/compiler/objectLiteralRegularAndWidenedCopyOrder(checkorder=default).types b/tsc/testdata/baselines/reference/compiler/objectLiteralRegularAndWidenedCopyOrder(checkorder=default).types index 407435a6f1e42..c357eab575d5b 100644 --- a/tsc/testdata/baselines/reference/compiler/objectLiteralRegularAndWidenedCopyOrder(checkorder=default).types +++ b/tsc/testdata/baselines/reference/compiler/objectLiteralRegularAndWidenedCopyOrder(checkorder=default).types @@ -30,7 +30,7 @@ const y = x; // widened copy of the literal >x : { a: number; } const z = b ? (b ? arr[0] : y) : { c: 1 }; ->z : { a: number; c?: undefined; } | { a?: undefined; c: number; } +>z : { a: number; } | { c: number; } >b ? (b ? arr[0] : y) : { c: 1 } : { a: number; } | { c: number; } >b : boolean >(b ? arr[0] : y) : { a: number; } diff --git a/tsc/testdata/baselines/reference/compiler/objectRestUnionInstantiationOrder(checkorder=typesfirst).types b/tsc/testdata/baselines/reference/compiler/objectRestUnionInstantiationOrder(checkorder=typesfirst).types index 858790155480b..b0974642e75b9 100644 --- a/tsc/testdata/baselines/reference/compiler/objectRestUnionInstantiationOrder(checkorder=typesfirst).types +++ b/tsc/testdata/baselines/reference/compiler/objectRestUnionInstantiationOrder(checkorder=typesfirst).types @@ -27,8 +27,8 @@ function f(v: { k: "a"; a: T } | { k: "b"; b: number }) { >undefined : undefined } const o = f({ k: "a", a: "s" }); ->o : { all: { b: number; } | { a: string; }; onlyB: { b: number; } | undefined; } ->f({ k: "a", a: "s" }) : { all: { b: number; } | { a: string; }; onlyB: { b: number; } | undefined; } +>o : { all: { a: string; } | { b: number; }; onlyB: { b: number; } | undefined; } +>f({ k: "a", a: "s" }) : { all: { a: string; } | { b: number; }; onlyB: { b: number; } | undefined; } >f : (v: { k: "a"; a: T; } | { k: "b"; b: number; }) => { all: { a: T; } | { b: number; }; onlyB: { b: number; } | undefined; } >{ k: "a", a: "s" } : { k: "a"; a: string; } >k : "a" @@ -37,14 +37,14 @@ const o = f({ k: "a", a: "s" }); >"s" : "s" const all = o.all; ->all : { b: number; } | { a: string; } ->o.all : { b: number; } | { a: string; } ->o : { all: { b: number; } | { a: string; }; onlyB: { b: number; } | undefined; } ->all : { b: number; } | { a: string; } +>all : { a: string; } | { b: number; } +>o.all : { a: string; } | { b: number; } +>o : { all: { a: string; } | { b: number; }; onlyB: { b: number; } | undefined; } +>all : { a: string; } | { b: number; } const onlyB = o.onlyB; >onlyB : { b: number; } | undefined >o.onlyB : { b: number; } | undefined ->o : { all: { b: number; } | { a: string; }; onlyB: { b: number; } | undefined; } +>o : { all: { a: string; } | { b: number; }; onlyB: { b: number; } | undefined; } >onlyB : { b: number; } | undefined diff --git a/tsc/testdata/baselines/reference/compiler/recursiveConditionalTypes.types b/tsc/testdata/baselines/reference/compiler/recursiveConditionalTypes.types index 73d9df41e47d2..49e5284d2f967 100644 --- a/tsc/testdata/baselines/reference/compiler/recursiveConditionalTypes.types +++ b/tsc/testdata/baselines/reference/compiler/recursiveConditionalTypes.types @@ -223,7 +223,7 @@ unbox(b4); // { value: { value: typeof b4 }} >b4 : { value: { value: { value: typeof b4; }; }; } unbox({ value: { value: { get value() { return this; } }}}); // { readonly value: ... } ->unbox({ value: { value: { get value() { return this; } }}}) : { readonly value: { readonly value: any; }; } +>unbox({ value: { value: { get value() { return this; } }}}) : { readonly value: any; } >unbox : (box: RecBox) => T >{ value: { value: { get value() { return this; } }}} : { value: { value: { readonly value: { readonly value: any; }; }; }; } >value : { value: { readonly value: { readonly value: any; }; }; } @@ -231,7 +231,7 @@ unbox({ value: { value: { get value() { return this; } }}}); // { readonly valu >value : { readonly value: { readonly value: any; }; } >{ get value() { return this; } } : { readonly value: { readonly value: any; }; } >value : { readonly value: any; } ->this : { readonly value: any; } | RecBox<{ readonly value: { readonly value: any; }; }> +>this : RecBox<{ readonly value: any; }> // Inference from nested instantiations of same generic types diff --git a/tsc/testdata/baselines/reference/compiler/relationDeeplyNestedCheckOrder.errors.txt b/tsc/testdata/baselines/reference/compiler/relationDeeplyNestedCheckOrder.errors.txt new file mode 100644 index 0000000000000..b12e3d7fff298 --- /dev/null +++ b/tsc/testdata/baselines/reference/compiler/relationDeeplyNestedCheckOrder.errors.txt @@ -0,0 +1,32 @@ +relationDeeplyNestedCheckOrder.ts(13,1): error TS2322: Type 'A<{ a: string; }>' is not assignable to type 'A<{ a: "lit"; }>'. + The types of 'm1.a.m0.m1' are incompatible between these types. + Type 'string' is not assignable to type '"lit"'. +relationDeeplyNestedCheckOrder.ts(14,1): error TS2322: Type 'B<{ a: string; }>' is not assignable to type 'B<{ a: "lit"; }>'. + The types of 'm0.m1.a.m0.m1' are incompatible between these types. + Type 'string' is not assignable to type '"lit"'. + + +==== relationDeeplyNestedCheckOrder.ts (2 errors) ==== + // Relating 'B<{ a: string }>' to 'B<{ a: "lit" }>' eventually relates 'string' + // to '"lit"' through 'm0.m1.a.m0.m1', but only after measuring the variances + // of 'A', which gives up on deeply nested types. TypeScript reports an error + // for the 'B' assignment only when it is checked before the 'A' assignment; + // the result must not depend on which is checked first. + + type A = { m0: (x: B) => void; m1: { [K in keyof T]: B } }; + type B = { m0: A }; + + declare let a1: A<{ a: string }>, a2: A<{ a: "lit" }>; + declare let b1: B<{ a: string }>, b2: B<{ a: "lit" }>; + + a2 = a1; + ~~ +!!! error TS2322: Type 'A<{ a: string; }>' is not assignable to type 'A<{ a: "lit"; }>'. +!!! error TS2322: The types of 'm1.a.m0.m1' are incompatible between these types. +!!! error TS2322: Type 'string' is not assignable to type '"lit"'. + b2 = b1; + ~~ +!!! error TS2322: Type 'B<{ a: string; }>' is not assignable to type 'B<{ a: "lit"; }>'. +!!! error TS2322: The types of 'm0.m1.a.m0.m1' are incompatible between these types. +!!! error TS2322: Type 'string' is not assignable to type '"lit"'. + \ No newline at end of file diff --git a/tsc/testdata/baselines/reference/compiler/relationTruncatedCacheCheckOrder(checkorder=typesfirst).errors.txt b/tsc/testdata/baselines/reference/compiler/relationTruncatedCacheCheckOrder(checkorder=typesfirst).errors.txt index 343f53694e8da..8b543f32384ea 100644 --- a/tsc/testdata/baselines/reference/compiler/relationTruncatedCacheCheckOrder(checkorder=typesfirst).errors.txt +++ b/tsc/testdata/baselines/reference/compiler/relationTruncatedCacheCheckOrder(checkorder=typesfirst).errors.txt @@ -1,12 +1,9 @@ -relationTruncatedCacheCheckOrder.ts(13,1): error TS2322: Type 'S' is not assignable to type 'R'. - The types of 'next.next.leaf' are incompatible between these types. - Type 'number' is not assignable to type '[[string]]'. relationTruncatedCacheCheckOrder.ts(14,1): error TS2322: Type 'S<[string]>' is not assignable to type 'R<[string]>'. The types of 'next.leaf' are incompatible between these types. Type 'number' is not assignable to type '[[string]]'. -==== relationTruncatedCacheCheckOrder.ts (2 errors) ==== +==== relationTruncatedCacheCheckOrder.ts (1 errors) ==== // Relating 'S<[string]>' to 'R<[string]>' from scratch reaches 'next.leaf' // before giving up on deeply nested types, and fails there. Inside the // relation of 'S' to 'R' it is one level deeper and is cut @@ -20,10 +17,6 @@ relationTruncatedCacheCheckOrder.ts(14,1): error TS2322: Type 'S<[string]>' is n declare let p: S<[string]>, q: R<[string]>; y = x; - ~ -!!! error TS2322: Type 'S' is not assignable to type 'R'. -!!! error TS2322: The types of 'next.next.leaf' are incompatible between these types. -!!! error TS2322: Type 'number' is not assignable to type '[[string]]'. q = p; ~ !!! error TS2322: Type 'S<[string]>' is not assignable to type 'R<[string]>'. diff --git a/tsc/testdata/baselines/reference/compiler/spreadUnionPropOverride.types b/tsc/testdata/baselines/reference/compiler/spreadUnionPropOverride.types index 56d9011592664..4f5783ece7680 100644 --- a/tsc/testdata/baselines/reference/compiler/spreadUnionPropOverride.types +++ b/tsc/testdata/baselines/reference/compiler/spreadUnionPropOverride.types @@ -182,8 +182,8 @@ declare const abc: A | B | C; >abc : A | B | C const obj5 = { ->obj5 : { id: string; name: string; } | { name: string; age: number; id: string; } | { name: string; id: string; } ->{ id: "123", ...abc,} : { id: string; name: string; } | { name: string; age: number; id: string; } | { name: string; id: string; } +>obj5 : { id: string; name: string; } | { name: string; id: string; } | { name: string; age: number; id: string; } +>{ id: "123", ...abc,} : { id: string; name: string; } | { name: string; id: string; } | { name: string; age: number; id: string; } id: "123", >id : string @@ -195,8 +195,8 @@ const obj5 = { }; // OK - id is only in A const obj6 = { ->obj6 : { id: string; name: string; } | { name: string; age: number; } | { name: string; } ->{ name: "test", ...abc,} : { id: string; name: string; } | { name: string; age: number; } | { name: string; } +>obj6 : { name: string; } | { id: string; name: string; } | { name: string; age: number; } +>{ name: "test", ...abc,} : { name: string; } | { id: string; name: string; } | { name: string; age: number; } name: "test", >name : string diff --git a/tsc/testdata/baselines/reference/compiler/varianceCycleCapnwebRpcStub.errors.txt b/tsc/testdata/baselines/reference/compiler/varianceCycleCapnwebRpcStub.errors.txt deleted file mode 100644 index b2e530d9aca01..0000000000000 --- a/tsc/testdata/baselines/reference/compiler/varianceCycleCapnwebRpcStub.errors.txt +++ /dev/null @@ -1,165 +0,0 @@ -main.ts(5,3): error TS2589: Type instantiation is excessively deep and possibly infinite. -main.ts(6,18): error TS7006: Parameter 's' implicitly has an 'any' type. - - -==== capnweb.d.ts (0 errors) ==== - // Copyright (c) 2025 Cloudflare, Inc. - // Licensed under the MIT license found in the LICENSE.txt file or at: - // https://opensource.org/license/mit - // This file borrows heavily from `types/defines/rpc.d.ts` in workerd. - // Branded types for identifying `WorkerEntrypoint`/`DurableObject`/`Target`s. - // TypeScript uses *structural* typing meaning anything with the same shape as type `T` is a `T`. - // For the classes exported by `cloudflare:workers` we want *nominal* typing (i.e. we only want to - // accept `WorkerEntrypoint` from `cloudflare:workers`, not any other class with the same shape) - declare const __RPC_STUB_BRAND: '__RPC_STUB_BRAND'; - declare const __RPC_TARGET_BRAND: '__RPC_TARGET_BRAND'; - // Distinguishes mapper placeholders from regular values so param unwrapping can accept them. - declare const __RPC_MAP_VALUE_BRAND: unique symbol; - interface RpcTargetBranded { - [__RPC_TARGET_BRAND]: never; - } - // Types that can be used through `Stub`s - // `never[]` preserves compatibility with strongly-typed function signatures without introducing - // `any` into inference. - type Stubable = RpcTargetBranded | ((...args: never[]) => unknown); - // Note: also true for `any` (call sites that care check `IsAny` first). - type IsUnknown = unknown extends T ? true : false; // Types that can be passed over RPC - // The reason for using a generic type here is to build the serializable subset of RPC-compatible - // composite types. This allows types defined with the "interface" keyword to pass the - // serializable check as well. Otherwise, only types defined with the "type" keyword would pass. - type RpcCompatible = // Allow `unknown` as a leaf so records/interfaces with `unknown` fields remain compatible. - (IsUnknown extends true ? unknown : never) // RPC-compatible base values - | BaseType // RPC-compatible composites - | Map ? RpcCompatible : never, T extends Map ? RpcCompatible : never> | Set ? RpcCompatible : never> | Array ? RpcCompatible : never> | ReadonlyArray ? RpcCompatible : never> | { [K in keyof T as K extends string | number ? K : never]: RpcCompatible } | Promise ? RpcCompatible : never> // Special types - | Stub // Serialized as stubs, see `Stubify` - | Stubable; - // Base type for all RPC stubs, including common memory management methods. - // `T` is used as a marker type for unwrapping `Stub`s later. - interface StubBase extends Disposable { - [__RPC_STUB_BRAND]: T; - dup(): this; - onRpcBroken(callback: (error: any) => void): void; - } - type Stub> = T extends object ? Provider & StubBase : StubBase; - type TypedArray = Uint8Array | Uint8ClampedArray | Uint16Array | Uint32Array | Int8Array | Int16Array | Int32Array | BigUint64Array | BigInt64Array | Float32Array | Float64Array; // This represents all the types that can be sent as-is over an RPC boundary - type BaseType = void | undefined | null | boolean | number | bigint | string | TypedArray | ArrayBuffer | DataView | Date | Error | RegExp | Blob | ReadableStream // Chunk type can be any RPC-compatible type - | WritableStream // Chunk type can be any RPC-compatible type - | URL | Request | Response | Headers; // Recursively rewrite all `Stubable` types with `Stub`s, and resolve promises. - // Arm ordering matters here: - // - `Promise` must come before `StubBase`: `RpcPromise` matches both, and must resolve - // through the Promise arm rather than pass through as-is. - // - `StubBase` must come before `Stubable`: `Stub` of a callable `T` is itself callable, so - // it matches `Stubable`. Checking `StubBase` first keeps existing stubs as-is instead of - // double-wrapping them as `Stub>`. - // prettier-ignore - type Stubify = T extends Promise ? Stubify : T extends StubBase ? T : T extends Stubable ? Stub : T extends Map ? Map, Stubify> : T extends Set ? Set> : T extends [] ? [] : T extends [infer Head, ...infer Tail] ? [Stubify, ...Stubify] : T extends readonly [] ? readonly [] : T extends readonly [infer Head, ...infer Tail] ? readonly [Stubify, ...Stubify] : T extends Array ? Array> : T extends ReadonlyArray ? ReadonlyArray> : T extends BaseType ? T // When using "unknown" instead of "any", interfaces are not stubified. - : T extends { - [key: string | number]: any; - } ? { [K in keyof T as K extends string | number ? K : never]: Stubify } : T; - // Recursively rewrite all `Stub`s with the corresponding `T`s. - // Note we use `StubBase` instead of `Stub` here to avoid circular dependencies: - // `Stub` depends on `Provider`, which depends on `Unstubify`, which would depend on `Stub`. - // prettier-ignore - type UnstubifyInner = // Preserve local RpcTarget acceptance, but avoid needless `Stub | Value` unions when the stub - // is already assignable to the value type (important for callback contextual typing). - T extends StubBase ? (T extends V ? UnstubifyInner : (T | UnstubifyInner)) : T extends Promise ? UnstubifyInner : T extends Map ? Map, Unstubify> : T extends Set ? Set> : T extends [] ? [] : T extends [infer Head, ...infer Tail] ? [Unstubify, ...Unstubify] : T extends readonly [] ? readonly [] : T extends readonly [infer Head, ...infer Tail] ? readonly [Unstubify, ...Unstubify] : T extends Array ? Array> : T extends ReadonlyArray ? ReadonlyArray> : T extends BaseType ? T : T extends { - [key: string | number]: unknown; - } ? { [K in keyof T as K extends string | number ? K : never]: Unstubify } : T; // You can put promises anywhere in the params and they'll be resolved before delivery. - // (This also covers RpcPromise, because it's defined as being a Promise.) - // Map placeholders are also allowed so primitive map callback inputs can be forwarded directly - // into RPC params. - // - // Keep raw non-stub members so generic assignability still works when UnstubifyInner is deferred. - // Remove stub members from mixed unions so callback params don’t get both stub and unstubbed signatures. - // Marker carried by map() callback inputs. This lets primitive placeholders flow through params. - type Unstubify = NonStubMembers | UnstubifyInner | Promise> | MapValuePlaceholder>; - type UnstubifyAll = { [I in keyof A]: Unstubify }; - interface MapValuePlaceholder { - [__RPC_MAP_VALUE_BRAND]: T; - } - type NonStubMembers = Exclude>; // Utility type for adding `Disposable`s to `object` types only. - // Note `unknown & T` is equivalent to `T`. - type MaybeDisposable = T extends object ? Disposable : unknown; // The type behind the public `RpcPromise` (re-exported with its `RpcCompatible` constraint from - // index.ts). Defined here so that `Result`'s arms below resolve to the exact same alias - // instantiation: when both sides of an assignability check are the same alias applied to the - // same type arguments, the checker short-circuits on identity instead of recursing through the - // full structural comparison of these mutually-recursive types. - type RpcPromise$1 = T extends Stubable ? Promise> & Provider & StubBase : Promise & MaybeDisposable> & Provider & StubBase; - // The elision `Result` applies to a bare stub type: unwrap `Stub` back to `T` when the - // payload is `Stubable`. Such stubs await back to a stub either way, so eliding keeps a - // declared `Promise>` return interchangeable with a `Promise` return. - // Plain-interface stubs are NOT elided: `RpcPromise` only awaits to `Stub` when - // `U extends Stubable`, so eliding those would change the awaited type from a stub to a - // stubified record. The payload check is deliberately non-distributive (`[U] extends [...]`). - // `Stub` is not elided either: `[any] extends [Stubable]` is true, so without the `IsAny` - // guard an `any`-payload stub would lose its stub surface. - // Also used by the `RpcPromise` constructor signature (index.ts), which applies exactly this - // transformation so constructing from a promised stub matches the method-return type. - type ElideStub = T extends StubBase ? (IsAny extends true ? T : [U] extends [Stubable] ? U : T) : T; - // What the promise given to `new RpcPromise(...)` may resolve to: the payload itself, or — - // for stubable payloads — a stub of it. `NoInfer` keeps the stub arm out of inference, so an - // inferred `T` is always the promise's own resolution type; the arm only matters when `T` is - // explicitly annotated (`new RpcPromise(promiseOfStub)`). Stubs of non-stubable - // payloads are deliberately rejected: `ElideStub` wouldn't elide those, so accepting one would - // claim the promise awaits to a stubified record while the runtime resolves to a stub. - type PayloadOrStub = T | NoInfer>>; - // Type for method return or property on an RPC interface. - // - Stubable types are replaced by stubs. - // - RpcCompatible types are passed by value, with stubable types replaced by stubs - // and a top-level `Disposer`. - // Everything else can't be passed over RPC. - // Technically, we use custom thenables here, but they quack like `Promise`s. - // Intersecting with `(Maybe)Provider` allows pipelining. - // prettier-ignore - type Result = IsAny extends true ? RpcPromise$1 // `RpcPromise`: always safe to normalize — `Result` is idempotent — so a declared - // `RpcPromise` return produces the same type as a `Promise` return. - : R extends PromiseLike & StubBase ? Result // Bare stubs: elide per `ElideStub` above. Note there is no `RpcCompatible` re-check - // here: anything matching our `StubBase` was produced by machinery that already enforced - // the constraint, and re-evaluating `RpcCompatible` in this arm recurses through its - // `Stub` member back into `Result`, tripping TS2615 circularity errors in mapped - // types. - : R extends StubBase ? RpcPromise$1> : R extends RpcCompatible ? RpcPromise$1 : never; - type IsAny = 0 extends (1 & T) ? true : false; // Type for method or property on an RPC interface. - // For methods, unwrap `Stub`s in parameters, and rewrite returns to be `Result`s. - // Unwrapping `Stub`s allows calling with `Stubable` arguments. - // For properties, rewrite types to be `Result`s. - // In each case, unwrap `Promise`s. - type MethodOrProperty = V extends ((...args: infer P) => infer R) ? (...args: UnstubifyAll

) => Result> : Result>; // Type for the callable part of an `Provider` if `T` is callable. - // This is intersected with methods/properties. - type MaybeCallableProvider = T extends ((...args: any[]) => any) ? MethodOrProperty : unknown; - type TupleIndexKeys> = Extract; - type MapCallbackValue = // `Omit` removes call signatures, so re-intersect callable provider behavior. - T extends unknown ? Omit, keyof Promise> & MaybeCallableProvider & MapValuePlaceholder : never; - type InvalidNativePromiseInMapResult = T extends unknown ? InvalidNativePromiseInMapResultImpl : never; - type InvalidNativePromiseInMapResultImpl = [T] extends [Seen] ? never // RpcPromise is modeled as Promise & StubBase, so allow promise-like stub values. - : T extends StubBase ? never // Native thenables cannot be represented in map recordings, even when typed as PromiseLike. - : T extends PromiseLike ? T : T extends Map ? InvalidNativePromiseInMapResult | InvalidNativePromiseInMapResult : T extends Set ? InvalidNativePromiseInMapResult : T extends readonly [] ? never : T extends readonly [infer Head, ...infer Tail] ? InvalidNativePromiseInMapResult | InvalidNativePromiseInMapResult : T extends ReadonlyArray ? InvalidNativePromiseInMapResult : T extends { - [key: string | number]: unknown; - } ? InvalidNativePromiseInMapResult], Seen | T> : never; - type MapCallbackReturn = InvalidNativePromiseInMapResult extends never ? T : never; - type ArrayProvider = { [K in number]: MethodOrProperty } & { - map(callback: (elem: MapCallbackValue) => MapCallbackReturn): Result>; - }; - type TupleProvider> = { [K in TupleIndexKeys]: MethodOrProperty } & ArrayProvider; // Base type for all other types providing RPC-like interfaces. - // Rewrites all methods/properties to be `MethodOrProperty`s, while preserving callable types. - // `__RPC_TARGET_BRAND` deliberately flows through the key mapping (as a `never` property) so - // stubs of branded targets stay assignable to workers-types' `Stubable`. Such stubs match our - // `Stubable` too — harmless, since all machinery checks `StubBase` before `Stubable`. - type Provider = MaybeCallableProvider & (T extends ReadonlyArray ? number extends T["length"] ? ArrayProvider : TupleProvider : { [K in Exclude>]: MethodOrProperty } & { - map(callback: (value: MapCallbackValue>) => MapCallbackReturn): Result>; - }); - export type RpcStub> = Stub; - -==== main.ts (2 errors) ==== - import type { RpcStub } from "./capnweb"; - - declare const api: RpcStub<{ sub(): Promise> }>; - export async function f() { - await api.sub(); - ~~~~~~~~~~~~~~~ -!!! error TS2589: Type instantiation is excessively deep and possibly infinite. - api.sub().then(s => s); - ~ -!!! error TS7006: Parameter 's' implicitly has an 'any' type. - } - \ No newline at end of file diff --git a/tsc/testdata/baselines/reference/compiler/varianceCycleCapnwebRpcStub.types b/tsc/testdata/baselines/reference/compiler/varianceCycleCapnwebRpcStub.types index c562e36ae1268..ee9a9c413fa4f 100644 --- a/tsc/testdata/baselines/reference/compiler/varianceCycleCapnwebRpcStub.types +++ b/tsc/testdata/baselines/reference/compiler/varianceCycleCapnwebRpcStub.types @@ -252,29 +252,29 @@ import type { RpcStub } from "./capnweb"; >RpcStub : RpcStub declare const api: RpcStub<{ sub(): Promise> }>; ->api : { sub: () => Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}> & Disposable> & { map: any; } & {} & import("./capnweb").StubBase<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}>>; } & { map(callback: (value: Omit Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}> & Disposable> & { map: any; } & {} & import("./capnweb").StubBase<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}>>) & {} & { map(callback: (value: Omit Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}> & Disposable> & { map: any; } & {} & import("./capnweb").StubBase<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}>>) & {} & any & import("./capnweb").StubBase<() => Promise>>> & (() => Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}> & Disposable> & { map: any; } & {} & import("./capnweb").StubBase<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}>>) & {} & any & import("./capnweb").StubBase<() => Promise>>, keyof Promise> & (() => Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}> & Disposable> & { map: any; } & {} & import("./capnweb").StubBase<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}>>) & import("./capnweb").MapValuePlaceholder<() => Promise>>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & any & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & Disposable> & any & any & import("./capnweb").StubBase, keyof Promise> & import("./capnweb").MapValuePlaceholder) => import("./capnweb").MapCallbackReturn): any & any & import("./capnweb").StubBase; } & import("./capnweb").StubBase +>api : { sub: () => Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & any & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase & Disposable> & any & any & import("./capnweb").StubBase; } & any & import("./capnweb").StubBase >sub : () => Promise> export async function f() { >f : () => Promise await api.sub(); ->await api.sub() : Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}> & Disposable> & { map: any; } & {} & import("./capnweb").StubBase<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}>> ->api.sub() : Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}> & Disposable> & { map: any; } & {} & import("./capnweb").StubBase<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}>> ->api.sub : () => Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}> & Disposable> & { map: any; } & {} & import("./capnweb").StubBase<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}>> ->api : { sub: () => Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}> & Disposable> & { map: any; } & {} & import("./capnweb").StubBase<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}>>; } & { map(callback: (value: Omit Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}> & Disposable> & { map: any; } & {} & import("./capnweb").StubBase<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}>>) & {} & { map(callback: (value: Omit Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}> & Disposable> & { map: any; } & {} & import("./capnweb").StubBase<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}>>) & {} & any & import("./capnweb").StubBase<() => Promise>>> & (() => Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}> & Disposable> & { map: any; } & {} & import("./capnweb").StubBase<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}>>) & {} & any & import("./capnweb").StubBase<() => Promise>>, keyof Promise> & (() => Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}> & Disposable> & { map: any; } & {} & import("./capnweb").StubBase<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}>>) & import("./capnweb").MapValuePlaceholder<() => Promise>>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & any & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & Disposable> & any & any & import("./capnweb").StubBase, keyof Promise> & import("./capnweb").MapValuePlaceholder) => import("./capnweb").MapCallbackReturn): any & any & import("./capnweb").StubBase; } & import("./capnweb").StubBase ->sub : () => Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}> & Disposable> & { map: any; } & {} & import("./capnweb").StubBase<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}>> +>await api.sub() : {} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & any & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase & Disposable +>api.sub() : Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & any & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase & Disposable> & any & any & import("./capnweb").StubBase +>api.sub : () => Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & any & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase & Disposable> & any & any & import("./capnweb").StubBase +>api : { sub: () => Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & any & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase & Disposable> & any & any & import("./capnweb").StubBase; } & any & import("./capnweb").StubBase +>sub : () => Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & any & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase & Disposable> & any & any & import("./capnweb").StubBase api.sub().then(s => s); ->api.sub().then(s => s) : any ->api.sub().then : any ->api.sub() : Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}> & Disposable> & { map: any; } & {} & import("./capnweb").StubBase<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}>> ->api.sub : () => Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}> & Disposable> & { map: any; } & {} & import("./capnweb").StubBase<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}>> ->api : { sub: () => Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}> & Disposable> & { map: any; } & {} & import("./capnweb").StubBase<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}>>; } & { map(callback: (value: Omit Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}> & Disposable> & { map: any; } & {} & import("./capnweb").StubBase<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}>>) & {} & { map(callback: (value: Omit Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}> & Disposable> & { map: any; } & {} & import("./capnweb").StubBase<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}>>) & {} & any & import("./capnweb").StubBase<() => Promise>>> & (() => Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}> & Disposable> & { map: any; } & {} & import("./capnweb").StubBase<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}>>) & {} & any & import("./capnweb").StubBase<() => Promise>>, keyof Promise> & (() => Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}> & Disposable> & { map: any; } & {} & import("./capnweb").StubBase<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}>>) & import("./capnweb").MapValuePlaceholder<() => Promise>>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & any & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & Disposable> & any & any & import("./capnweb").StubBase, keyof Promise> & import("./capnweb").MapValuePlaceholder) => import("./capnweb").MapCallbackReturn): any & any & import("./capnweb").StubBase; } & import("./capnweb").StubBase ->sub : () => Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}> & Disposable> & { map: any; } & {} & import("./capnweb").StubBase<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): import("./capnweb").Result>; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase<{}>> ->then : any ->s => s : (s: any) => any ->s : any ->s : any +>api.sub().then(s => s) : Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & any & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase & Disposable> +>api.sub().then : (callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & any & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase & Disposable, TResult2 = never>(onfulfilled?: any | any | undefined, onrejected?: any | any | undefined) => Promise +>api.sub() : Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & any & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase & Disposable> & any & any & import("./capnweb").StubBase +>api.sub : () => Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & any & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase & Disposable> & any & any & import("./capnweb").StubBase +>api : { sub: () => Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & any & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase & Disposable> & any & any & import("./capnweb").StubBase; } & any & import("./capnweb").StubBase +>sub : () => Promise<{} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & any & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase & Disposable> & any & any & import("./capnweb").StubBase +>then : (callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & any & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase & Disposable, TResult2 = never>(onfulfilled?: any | any | undefined, onrejected?: any | any | undefined) => Promise +>s => s : (s: {} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & any & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase & Disposable) => any & any & Disposable +>s : {} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & any & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase & Disposable +>s : {} & { map(callback: (value: Omit & {} & any & import("./capnweb").StubBase<{}>, keyof Promise> & import("./capnweb").MapValuePlaceholder<{}>) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & { map(callback: (elem: import("./capnweb").MapCallbackValue) => import("./capnweb").MapCallbackReturn): Promise[] & Disposable> & { [x: number]: import("./capnweb").MethodOrProperty; } & any & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase; } & import("./capnweb").StubBase & Disposable } diff --git a/tsc/testdata/baselines/reference/conformance/spreadUnion.types b/tsc/testdata/baselines/reference/conformance/spreadUnion.types index a19bbca939f5d..d74f767c4a624 100644 --- a/tsc/testdata/baselines/reference/conformance/spreadUnion.types +++ b/tsc/testdata/baselines/reference/conformance/spreadUnion.types @@ -38,7 +38,7 @@ var o5: { a: number } | { b: string } | { a: number, b: string }; var o5 = { ...union, ...union }; >o5 : { a: number; } | { b: string; } | { a: number; b: string; } ->{ ...union, ...union } : { a: number; } | { a: number; b: string; } | { a: number; b: string; } | { b: string; } +>{ ...union, ...union } : { a: number; } | { b: string; } | { a: number; b: string; } | { a: number; b: string; } >union : { a: number; } | { b: string; } >union : { a: number; } | { b: string; } diff --git a/tsc/testdata/baselines/reference/fourslash/findAllReferences/findAllRefsObjectBindingElementPropertyName05.baseline.jsonc b/tsc/testdata/baselines/reference/fourslash/findAllReferences/findAllRefsObjectBindingElementPropertyName05.baseline.jsonc index fc60af735d4e3..8eea46177cedb 100644 --- a/tsc/testdata/baselines/reference/fourslash/findAllReferences/findAllRefsObjectBindingElementPropertyName05.baseline.jsonc +++ b/tsc/testdata/baselines/reference/fourslash/findAllReferences/findAllRefsObjectBindingElementPropertyName05.baseline.jsonc @@ -5,6 +5,6 @@ // property2: string; // } // -// function f({ /*FIND ALL REFS*/property1: p }, { property1 }) { +// function f({ /*FIND ALL REFS*/[|property1|]: p }, { property1 }) { // let x = property1; // } \ No newline at end of file diff --git a/tsc/testdata/baselines/reference/tsc/generateTrace/generateTrace-with-multiple-files-and-complex-types.js b/tsc/testdata/baselines/reference/tsc/generateTrace/generateTrace-with-multiple-files-and-complex-types.js index 82c5dfd663ad6..1cdf348a9d041 100644 --- a/tsc/testdata/baselines/reference/tsc/generateTrace/generateTrace-with-multiple-files-and-complex-types.js +++ b/tsc/testdata/baselines/reference/tsc/generateTrace/generateTrace-with-multiple-files-and-complex-types.js @@ -228,7 +228,6 @@ declare const console: { log(msg: any): void; }; {"id":118,"symbolName":"Container","recursionId":83,"instantiatedType":91,"typeArguments":[112],"firstDeclaration":{"path":"/home/src/workspaces/project/types.ts","start":{"line":1,"character":1},"end":{"line":4,"character":2}},"flags":["Object"]}, {"id":119,"symbolName":"Nullable","recursionId":99,"unionTypes":[10,13,14],"aliasTypeArguments":[14],"firstDeclaration":{"path":"/home/src/workspaces/project/types.ts","start":{"line":5,"character":1},"end":{"line":5,"character":48}},"flags":["Union"],"display":"Nullable"}, {"id":120,"recursionId":100,"flags":["StringLiteral"],"display":"\"hello\""}, -{"id":121,"recursionId":101,"flags":["StringLiteral"],"display":"\"hello\""}, -{"id":122,"symbolName":"__object","recursionId":102,"firstDeclaration":{"path":"/home/src/workspaces/project/main.ts","start":{"line":2,"character":57},"end":{"line":2,"character":86}},"flags":["Object"],"display":"{ value: U; map: (fn: (x: number) => U) => Container; }"}] +{"id":121,"recursionId":101,"flags":["StringLiteral"],"display":"\"hello\""}] From 5cbd0e0381a74864db47a5daec352a8c31cebd18 Mon Sep 17 00:00:00 2001 From: Jake Bailey <5341706+jakebailey@users.noreply.github.com> Date: Tue, 20 Oct 2026 15:28:49 -0700 Subject: [PATCH 11/13] Cache relation results only once their assumptions are resolved A relation that succeeds while an outer comparison is still in progress has only been shown to hold under the outer comparison's assumption. Caching it globally made later lookups depend on which comparison happened to run first. The same was true for results cut short by depth limits measured against outer resolutions. Each result now tracks the lowest resolution it depends on and whether it was truncated. Results are cached globally only when the comparison that introduced their assumptions completes, and truncated results only at their own head. Failures remain cached immediately, since assumptions only ever make a relation more likely to succeed. A comparison that only relates by assuming comparisons within it is reported as related once it completes, whether it is computed or read from the cache. Comparisons of types referencing constrained type parameters are considered related while the same comparison with unconstrained type parameters is in progress, since constraints only make more types related. A completed comparison found to succeed now counts the same way. That only went unnoticed because completed comparisons used to stay in progress until the outermost one completed; without it, relating structurally identical generic interfaces creates ten times the types. --- tsc/internal/checker/relater.go | 211 ++++++++++++++---- .../relationMaybeCheckOrder.errors.txt | 5 +- .../compiler/relationMaybeCheckOrder.types | 2 +- ...eCheckOrder(checkorder=default).errors.txt | 25 +++ 4 files changed, 192 insertions(+), 51 deletions(-) create mode 100644 tsc/testdata/baselines/reference/compiler/relationTruncatedCacheCheckOrder(checkorder=default).errors.txt diff --git a/tsc/internal/checker/relater.go b/tsc/internal/checker/relater.go index 969284a6fd796..e5b173a299b10 100644 --- a/tsc/internal/checker/relater.go +++ b/tsc/internal/checker/relater.go @@ -881,6 +881,21 @@ func (c *Checker) mapperGeneration(m *TypeMapper) int { return 0 } +// deeplyNestedStart returns the highest index in stack from which t is still +// deeply nested, or -1 if it is not deeply nested. Comparisons starting at or +// below that index would be truncated the same way. +func (c *Checker) deeplyNestedStart(t *Type, stack []*Type, maxDepth int) int { + if !c.isDeeplyNestedType(t, stack, maxDepth) { + return -1 + } + for k := len(stack) - maxDepth; k > 0; k-- { + if c.isDeeplyNestedType(t, stack[k:], maxDepth) { + return k + } + } + return 0 +} + func hasMatchingRecursionIdentity(t *Type, identity RecursionId) bool { target := getRecursionIdentityTarget(t) if target.flags&TypeFlagsIntersection != 0 { @@ -2668,22 +2683,48 @@ type ErrorChain struct { } type Relater struct { - c *Checker - relation *Relation - errorNode *ast.Node - errorChain *ErrorChain - relatedInfo []*ast.Diagnostic - maybeKeys []CacheHashKey - maybeKeysSet collections.Set[CacheHashKey] - sourceStack []*Type - targetStack []*Type - maybeCount int - sourceDepth int - targetDepth int + c *Checker + relation *Relation + errorNode *ast.Node + errorChain *ErrorChain + relatedInfo []*ast.Diagnostic + // maybeKeys are the comparisons in progress, followed by completed ones + // that hold assuming comparisons still in progress. maybeKeysSet indexes + // them by key. + maybeKeys []maybeKey + maybeKeysSet map[CacheHashKey]int + sourceStack []*Type + targetStack []*Type + // sourceDepths and targetDepths are the depths of the comparisons that + // pushed each entry of sourceStack and targetStack. + sourceDepths []int + targetDepths []int + // depth is the number of comparisons in progress. + depth int + // low is the lowest depth that the result of the innermost comparison in + // progress depends on, through assumptions or truncation. Results that + // depend on no comparison below their own are the same from scratch. + low int + // truncated is set if that result depends on a truncation that would not + // happen from scratch. + truncated bool expandingFlags ExpandingFlags - overflow bool - relationCount int - next *Relater + // expandingSourceDepth and expandingTargetDepth are the highest depths + // from which the expanding flags would still be set. + expandingSourceDepth int + expandingTargetDepth int + overflow bool + relationCount int + next *Relater +} + +type maybeKey struct { + key CacheHashKey + // low is the lowest depth that the comparison depends on, which is its + // own while it is in progress. + low int + result Ternary + truncated bool } func (c *Checker) getRelater() *Relater { @@ -2696,13 +2737,15 @@ func (c *Checker) getRelater() *Relater { } func (c *Checker) putRelater(r *Relater) { - r.maybeKeysSet.Clear() + clear(r.maybeKeysSet) *r = Relater{ c: c, maybeKeys: r.maybeKeys[:0], maybeKeysSet: r.maybeKeysSet, sourceStack: r.sourceStack[:0], targetStack: r.targetStack[:0], + sourceDepths: r.sourceDepths[:0], + targetDepths: r.targetDepths[:0], next: c.freeRelater, } c.freeRelater = r @@ -3227,38 +3270,67 @@ func (r *Relater) recursiveTypeRelatedTo(source *Type, target *Type, reportError return TernaryFalse } // If source and target are already being compared, consider them related with assumptions - if r.maybeKeysSet.Has(id) { - return TernaryMaybe + if i, ok := r.maybeKeysSet[id]; ok { + return r.assume(i) } // A constrained key indicates that we have type references that reference constrained // type parameters. For such keys we also check against the key we would have gotten if all type parameters // were unconstrained. if constrained { broadestEquivalentId, _ := getRelationKey(source, target, intersectionState, r.relation == r.c.identityRelation, true /*ignoreConstraints*/) - if r.maybeKeysSet.Has(broadestEquivalentId) { - return TernaryMaybe + if i, ok := r.maybeKeysSet[broadestEquivalentId]; ok { + return r.assume(i) + } + // What relates with unconstrained type parameters also relates with + // constrained ones. + if entry := r.relation.get(broadestEquivalentId); entry&RelationComparisonResultSucceeded != 0 { + r.c.reliabilityFlags |= entry & (RelationComparisonResultReportsUnmeasurable | RelationComparisonResultReportsUnreliable) + return TernaryTrue } } if len(r.sourceStack) == 100 || len(r.targetStack) == 100 { // We stop relating if we reach 100 levels of nesting. This is a backstop to catch infinite recursion // that wasn't caught by isDeeplyNestedType. It will also stop relating types that truly are over 100 // levels deep, but those are exceedingly rare. + depth := r.depth + if len(r.sourceStack) == 100 { + depth = min(depth, r.sourceDepths[0]) + } + if len(r.targetStack) == 100 { + depth = min(depth, r.targetDepths[0]) + } + r.truncate(depth) return TernaryMaybe } + depth := r.depth + r.depth++ maybeStart := len(r.maybeKeys) - r.maybeKeys = append(r.maybeKeys, id) - r.maybeKeysSet.Add(id) - saveExpandingFlags := r.expandingFlags + r.maybeKeys = append(r.maybeKeys, maybeKey{key: id, low: depth, result: TernaryMaybe}) + if r.maybeKeysSet == nil { + r.maybeKeysSet = make(map[CacheHashKey]int) + } + r.maybeKeysSet[id] = maybeStart + saveLow, saveTruncated := r.low, r.truncated + r.low, r.truncated = depth, false + saveExpandingFlags, saveExpandingSourceDepth, saveExpandingTargetDepth := r.expandingFlags, r.expandingSourceDepth, r.expandingTargetDepth if recursionFlags&RecursionFlagsSource != 0 { r.sourceStack = append(r.sourceStack, source) - if r.expandingFlags&ExpandingFlagsSource == 0 && r.c.isDeeplyNestedType(source, r.sourceStack, 3) { - r.expandingFlags |= ExpandingFlagsSource + r.sourceDepths = append(r.sourceDepths, depth) + if r.expandingFlags&ExpandingFlagsSource == 0 { + if k := r.c.deeplyNestedStart(source, r.sourceStack, 3); k >= 0 { + r.expandingFlags |= ExpandingFlagsSource + r.expandingSourceDepth = r.sourceDepths[k] + } } } if recursionFlags&RecursionFlagsTarget != 0 { r.targetStack = append(r.targetStack, target) - if r.expandingFlags&ExpandingFlagsTarget == 0 && r.c.isDeeplyNestedType(target, r.targetStack, 3) { - r.expandingFlags |= ExpandingFlagsTarget + r.targetDepths = append(r.targetDepths, depth) + if r.expandingFlags&ExpandingFlagsTarget == 0 { + if k := r.c.deeplyNestedStart(target, r.targetStack, 3); k >= 0 { + r.expandingFlags |= ExpandingFlagsTarget + r.expandingTargetDepth = r.targetDepths[k] + } } } saveReliabilityFlags := r.c.reliabilityFlags @@ -3268,6 +3340,7 @@ func (r *Relater) recursiveTypeRelatedTo(source *Type, target *Type, reportError if tr := r.c.tracer; tr != nil { tr.Instant(tracing.PhaseCheckTypes, "recursiveTypeRelatedTo_DepthLimit", map[string]any{"sourceId": source.id, "targetId": target.id, "depth": len(r.sourceStack), "targetDepth": len(r.targetStack)}) } + r.truncate(min(r.expandingSourceDepth, r.expandingTargetDepth)) result = TernaryMaybe } else { if tr := r.c.tracer; tr != nil { @@ -3279,39 +3352,83 @@ func (r *Relater) recursiveTypeRelatedTo(source *Type, target *Type, reportError r.c.reliabilityFlags |= saveReliabilityFlags if recursionFlags&RecursionFlagsSource != 0 { r.sourceStack = r.sourceStack[:len(r.sourceStack)-1] + r.sourceDepths = r.sourceDepths[:len(r.sourceDepths)-1] } if recursionFlags&RecursionFlagsTarget != 0 { r.targetStack = r.targetStack[:len(r.targetStack)-1] + r.targetDepths = r.targetDepths[:len(r.targetDepths)-1] } - r.expandingFlags = saveExpandingFlags - if result != TernaryFalse { - if result == TernaryTrue || (len(r.sourceStack) == 0 && len(r.targetStack) == 0) { - if result == TernaryTrue || result == TernaryMaybe { - // If result is definitely true, record all maybe keys as having succeeded. Also, record Ternary.Maybe - // results as having succeeded once we reach depth 0, but never record Ternary.Unknown results. - r.resetMaybeStack(maybeStart, propagatingVarianceFlags, true) - } else { - r.resetMaybeStack(maybeStart, propagatingVarianceFlags, false) - } - } - // Note: it's intentional that we don't reset in the else case; - // we leave them on the stack such that when we hit depth zero - // above, we can report all of them as successful. - } else { + r.expandingFlags, r.expandingSourceDepth, r.expandingTargetDepth = saveExpandingFlags, saveExpandingSourceDepth, saveExpandingTargetDepth + r.depth-- + low, truncated := r.low, r.truncated + r.low, r.truncated = saveLow, saveTruncated + switch { + case result == TernaryFalse: // A false result goes straight into global cache (when something is false under // assumptions it will also be false without assumptions) r.relation.set(id, RelationComparisonResultFailed|propagatingVarianceFlags) r.relationCount-- r.resetMaybeStack(maybeStart, propagatingVarianceFlags, false) + case low >= depth: + // The result depends on no comparison outside of this one, so it is the + // same from scratch. Comparisons that completed assuming this one hold + // as well, unless they relied on truncation, which may not happen from + // scratch. Ternary.Unknown results are never recorded. + switch { + case result == TernaryUnknown: + r.resetMaybeStack(maybeStart, propagatingVarianceFlags, false) + case truncated: + r.resetMaybeStack(maybeStart, propagatingVarianceFlags, false) + r.relation.set(id, RelationComparisonResultSucceeded|propagatingVarianceFlags) + r.relationCount-- + default: + r.resetMaybeStack(maybeStart, propagatingVarianceFlags, true) + } + // The result no longer depends on any comparison in progress, so it + // is reported as related, the same as when it is read from the cache. + if result == TernaryMaybe { + result = TernaryTrue + } + default: + // The result holds while the comparisons it depends on are in progress, + // so it is kept until the outermost of them completes. Until then, the + // same comparison elsewhere in this one relates the same way. + for i := maybeStart; i < len(r.maybeKeys); i++ { + m := &r.maybeKeys[i] + m.low = min(m.low, low) + m.truncated = m.truncated || truncated + if result == TernaryTrue { + m.result = TernaryTrue + } + } + r.low = min(r.low, low) + r.truncated = r.truncated || truncated } return result } +// assume relates a comparison in progress, or one that completed assuming one +// in progress, as it was related so far. +func (r *Relater) assume(i int) Ternary { + m := &r.maybeKeys[i] + r.low = min(r.low, m.low) + r.truncated = r.truncated || m.truncated + return m.result +} + +// truncate records that the comparison in progress was cut short in a way +// that depends on depth and the depths above it. +func (r *Relater) truncate(depth int) { + r.low = min(r.low, depth) + r.truncated = true +} + func (r *Relater) resetMaybeStack(maybeStart int, propagatingVarianceFlags RelationComparisonResult, markAllAsSucceeded bool) { for i := maybeStart; i < len(r.maybeKeys); i++ { - r.maybeKeysSet.Delete(r.maybeKeys[i]) + key := r.maybeKeys[i].key + delete(r.maybeKeysSet, key) if markAllAsSucceeded { - r.relation.set(r.maybeKeys[i], RelationComparisonResultSucceeded|propagatingVarianceFlags) + r.relation.set(key, RelationComparisonResultSucceeded|propagatingVarianceFlags) r.relationCount-- } } @@ -3681,7 +3798,8 @@ func (r *Relater) structuredTypeRelatedToWorker(source *Type, target *Type, repo case target.flags&TypeFlagsConditional != 0: // If we reach 10 levels of nesting for the same conditional type, assume it is an infinitely expanding recursive // conditional type and bail out with a Ternary.Maybe result. - if r.c.isDeeplyNestedType(target, r.targetStack, 10) { + if k := r.c.deeplyNestedStart(target, r.targetStack, 10); k >= 0 { + r.truncate(r.targetDepths[k]) return TernaryMaybe } c := target.AsConditionalType() @@ -3862,7 +3980,8 @@ func (r *Relater) structuredTypeRelatedToWorker(source *Type, target *Type, repo case source.flags&TypeFlagsConditional != 0: // If we reach 10 levels of nesting for the same conditional type, assume it is an infinitely expanding recursive // conditional type and bail out with a Ternary.Maybe result. - if r.c.isDeeplyNestedType(source, r.sourceStack, 10) { + if k := r.c.deeplyNestedStart(source, r.sourceStack, 10); k >= 0 { + r.truncate(r.sourceDepths[k]) return TernaryMaybe } if target.flags&TypeFlagsConditional != 0 { diff --git a/tsc/testdata/baselines/reference/compiler/relationMaybeCheckOrder.errors.txt b/tsc/testdata/baselines/reference/compiler/relationMaybeCheckOrder.errors.txt index 88dee4e5a8f7e..959e47bf00a94 100644 --- a/tsc/testdata/baselines/reference/compiler/relationMaybeCheckOrder.errors.txt +++ b/tsc/testdata/baselines/reference/compiler/relationMaybeCheckOrder.errors.txt @@ -1,8 +1,7 @@ relationMaybeCheckOrder.ts(8,32): error TS2322: Type 'B' is not assignable to type 'string | number | symbol'. -relationMaybeCheckOrder.ts(18,11): error TS2322: Type '2' is not assignable to type '1'. -==== relationMaybeCheckOrder.ts (2 errors) ==== +==== relationMaybeCheckOrder.ts (1 errors) ==== // Relating to 'keyof M' rejects keys that relate only by assuming a // comparison still in progress. Relating 'A' to 'B' assumes only itself // along 'next', so it completes on its own and must be accepted whether @@ -23,8 +22,6 @@ relationMaybeCheckOrder.ts(18,11): error TS2322: Type '2' is not assignable to t function g(x: unknown): 2; function g(x: unknown) { return 1 as any; } const r: 1 = g(a); - ~ -!!! error TS2322: Type '2' is not assignable to type '1'. } const w: 1 = h(a); diff --git a/tsc/testdata/baselines/reference/compiler/relationMaybeCheckOrder.types b/tsc/testdata/baselines/reference/compiler/relationMaybeCheckOrder.types index ecbee15a795d4..79fb5d6072b67 100644 --- a/tsc/testdata/baselines/reference/compiler/relationMaybeCheckOrder.types +++ b/tsc/testdata/baselines/reference/compiler/relationMaybeCheckOrder.types @@ -47,7 +47,7 @@ function f() { const r: 1 = g(a); >r : 1 ->g(a) : 2 +>g(a) : 1 >g : { (x: keyof M): 1; (x: unknown): 2; } >a : A } diff --git a/tsc/testdata/baselines/reference/compiler/relationTruncatedCacheCheckOrder(checkorder=default).errors.txt b/tsc/testdata/baselines/reference/compiler/relationTruncatedCacheCheckOrder(checkorder=default).errors.txt new file mode 100644 index 0000000000000..8b543f32384ea --- /dev/null +++ b/tsc/testdata/baselines/reference/compiler/relationTruncatedCacheCheckOrder(checkorder=default).errors.txt @@ -0,0 +1,25 @@ +relationTruncatedCacheCheckOrder.ts(14,1): error TS2322: Type 'S<[string]>' is not assignable to type 'R<[string]>'. + The types of 'next.leaf' are incompatible between these types. + Type 'number' is not assignable to type '[[string]]'. + + +==== relationTruncatedCacheCheckOrder.ts (1 errors) ==== + // Relating 'S<[string]>' to 'R<[string]>' from scratch reaches 'next.leaf' + // before giving up on deeply nested types, and fails there. Inside the + // relation of 'S' to 'R' it is one level deeper and is cut + // short instead. That truncated result must not be cached, so the error for + // 'q = p' must be reported whether or not 'y = x' was checked first. + + type S = { next: S<[T]>; leaf: T extends [[unknown]] ? number : T }; + type R = { next: R<[T]>; leaf: T }; + + declare let x: S, y: R; + declare let p: S<[string]>, q: R<[string]>; + + y = x; + q = p; + ~ +!!! error TS2322: Type 'S<[string]>' is not assignable to type 'R<[string]>'. +!!! error TS2322: The types of 'next.leaf' are incompatible between these types. +!!! error TS2322: Type 'number' is not assignable to type '[[string]]'. + \ No newline at end of file From fecdfb884148d338b8603fbb8bad0b105e7c7f2e Mon Sep 17 00:00:00 2001 From: Jake Bailey <5341706+jakebailey@users.noreply.github.com> Date: Thu, 22 Oct 2026 09:58:36 -0700 Subject: [PATCH 12/13] Look through instantiation when reusing a parameter name Instantiating a signature copies a parameter unless the parameter's type has already been resolved, so whether the parameter in a signature's printed scope is the declared one depends on what was checked before. Both name the same declaration, so treating only the declared one as the same reference made printing a reused annotation depend on check order. --- tsc/internal/checker/nodecopy.go | 6 ++++-- ...heckOrderParameterInTypeQuery(checkorder=isolated).types | 4 ++-- ...ckOrderParameterInTypeQuery(checkorder=typesfirst).types | 4 ++-- 3 files changed, 8 insertions(+), 6 deletions(-) diff --git a/tsc/internal/checker/nodecopy.go b/tsc/internal/checker/nodecopy.go index 71ed761dcbdc8..e3885a24be95d 100644 --- a/tsc/internal/checker/nodecopy.go +++ b/tsc/internal/checker/nodecopy.go @@ -354,8 +354,10 @@ func getExistingNodeTreeVisitor(b *NodeBuilderImpl, bound *recoveryBoundary) *as symAtLocation == b.ch.unknownSymbol || // If the symbol is not found, but was not found in the original scope either we probably have an error, don't reuse the node (symAtLocation == nil && sym != nil) || - // If the symbol is found both in declaration scope and in current scope then it should point to the same reference - (symAtLocation != nil && sym != nil && b.ch.getSymbolIfSameReference(b.ch.getExportSymbolOfValueSymbolIfExported(symAtLocation), sym) == nil) { + // If the symbol is found both in declaration scope and in current scope then it should point to the same reference. + // A parameter in scope may be an instantiation of the one in the declaration, depending on whether + // its type was resolved before its signature was instantiated, so compare what they instantiate. + (symAtLocation != nil && sym != nil && b.ch.getSymbolIfSameReference(b.ch.getTargetSymbol(b.ch.getExportSymbolOfValueSymbolIfExported(symAtLocation)), b.ch.getTargetSymbol(sym)) == nil) { // In isolated declaration we will not do rest parameter expansion so there is no need to report on these. if symAtLocation != b.ch.unknownSymbol { b.ctx.tracker.ReportInferenceFallback(node) diff --git a/tsc/testdata/baselines/reference/compiler/checkOrderParameterInTypeQuery(checkorder=isolated).types b/tsc/testdata/baselines/reference/compiler/checkOrderParameterInTypeQuery(checkorder=isolated).types index 0c9c1f6dcfb8d..c7f091d02bcb0 100644 --- a/tsc/testdata/baselines/reference/compiler/checkOrderParameterInTypeQuery(checkorder=isolated).types +++ b/tsc/testdata/baselines/reference/compiler/checkOrderParameterInTypeQuery(checkorder=isolated).types @@ -30,10 +30,10 @@ export class C2 { } return new C().test1(this); >new C().test1(this) : number ->new C().test1 : (a: C2) => number +>new C().test1 : (a: C2) => typeof a.#a >new C() : C >C : typeof C ->test1 : (a: C2) => number +>test1 : (a: C2) => typeof a.#a >this : this } } diff --git a/tsc/testdata/baselines/reference/compiler/checkOrderParameterInTypeQuery(checkorder=typesfirst).types b/tsc/testdata/baselines/reference/compiler/checkOrderParameterInTypeQuery(checkorder=typesfirst).types index 0c9c1f6dcfb8d..c7f091d02bcb0 100644 --- a/tsc/testdata/baselines/reference/compiler/checkOrderParameterInTypeQuery(checkorder=typesfirst).types +++ b/tsc/testdata/baselines/reference/compiler/checkOrderParameterInTypeQuery(checkorder=typesfirst).types @@ -30,10 +30,10 @@ export class C2 { } return new C().test1(this); >new C().test1(this) : number ->new C().test1 : (a: C2) => number +>new C().test1 : (a: C2) => typeof a.#a >new C() : C >C : typeof C ->test1 : (a: C2) => number +>test1 : (a: C2) => typeof a.#a >this : this } } From 231bc62bedf862bf7b2f5da09e088fab21cf356a Mon Sep 17 00:00:00 2001 From: Jake Bailey <5341706+jakebailey@users.noreply.github.com> Date: Thu, 22 Oct 2026 11:16:59 -0700 Subject: [PATCH 13/13] Check computed enum initializers when checking the member Computing the values of an enum's members type-checked each computed initializer to report one that is not a number. The initializer may refer to the enum itself, whose type then reads member values that are still being computed, so the enum's type depended on whether its values were first computed by checking it or by asking for its type. The values do not depend on the initializer's type, so the check now happens when the member is checked, as for any other error in an initializer. --- tsc/internal/checker/checker.go | 9 +++++---- ...eckOrderEnumComputedMember(checkorder=isolated).types | 2 +- 2 files changed, 6 insertions(+), 5 deletions(-) diff --git a/tsc/internal/checker/checker.go b/tsc/internal/checker/checker.go index eebd7823aeebc..ba2e940e48597 100644 --- a/tsc/internal/checker/checker.go +++ b/tsc/internal/checker/checker.go @@ -5275,8 +5275,11 @@ func (c *Checker) checkEnumMember(node *ast.Node) { if ast.IsComputedPropertyName(node.Name()) { c.checkExpression(node.Name().Expression()) } - if node.Initializer() != nil { - c.checkExpression(node.Initializer()) + if initializer := node.Initializer(); initializer != nil { + initializerType := c.checkExpression(initializer) + if c.getEnumMemberValue(node).Value == nil && !ast.IsEnumConst(node.Parent) && node.Parent.Flags&ast.NodeFlagsAmbient == 0 { + c.checkTypeAssignableTo(initializerType, c.numberType, initializer, diagnostics.Type_0_is_not_assignable_to_type_1_as_required_for_computed_enum_member_values) + } } } @@ -25154,8 +25157,6 @@ func (c *Checker) computeConstantEnumMemberValue(member *ast.Node) evaluator.Res c.error(initializer, diagnostics.X_const_enum_member_initializers_must_be_constant_expressions) case member.Parent.Flags&ast.NodeFlagsAmbient != 0: c.error(initializer, diagnostics.In_ambient_enum_declarations_member_initializer_must_be_constant_expression) - default: - c.checkTypeAssignableTo(c.checkExpression(initializer), c.numberType, initializer, diagnostics.Type_0_is_not_assignable_to_type_1_as_required_for_computed_enum_member_values) } return result } diff --git a/tsc/testdata/baselines/reference/compiler/checkOrderEnumComputedMember(checkorder=isolated).types b/tsc/testdata/baselines/reference/compiler/checkOrderEnumComputedMember(checkorder=isolated).types index 7ec12ac791f04..39ddeced5f433 100644 --- a/tsc/testdata/baselines/reference/compiler/checkOrderEnumComputedMember(checkorder=isolated).types +++ b/tsc/testdata/baselines/reference/compiler/checkOrderEnumComputedMember(checkorder=isolated).types @@ -23,7 +23,7 @@ enum E { } const member: Extract = E.C; ->member : never +>member : E.C >E.C : E.C >E : typeof E >C : E.C