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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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Task/Knights-tour/Mathematica/knights-tour-1.math Normal file
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knightsTourMoves[start_] :=
Module[{
vertexLabels = (# -> ToString@c[[Quotient[# - 1, 8] + 1]] <> ToString[Mod[# - 1, 8] + 1]) & /@ Range[64], knightsGraph,
hamiltonianCycle, end},
knightsGraph = KnightTourGraph[i, i, VertexLabels -> vertexLabels, ImagePadding -> 15];
hamiltonianCycle = ((FindHamiltonianCycle[knightsGraph] /. UndirectedEdge -> DirectedEdge) /. labels)[[1]];
end = Cases[hamiltonianCycle, (x_ \[DirectedEdge] start) :> x][[1]];
FindShortestPath[g, start, end]]

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Task/Knights-tour/Mathematica/knights-tour-2.math Normal file
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knightsTourMoves["d8"]
(* out *)
{"d8", "e6", "d4", "c2", "a1", "b3", "a5", "b7", "c5", "a4", "b2", "c4", "a3", "b1", "c3", "a2", "b4", "a6", "b8", "c6", "a7", "b5", \
"c7", "a8", "b6", "c8", "d6", "e4", "d2", "f1", "e3", "d1", "f2", "h1", "g3", "e2", "c1", "d3", "e1", "g2", "h4", "f5", "e7", "d5", \
"f4", "h5", "g7", "e8", "f6", "g8", "h6", "g4", "h2", "f3", "g1", "h3", "g5", "h7", "f8", "d7", "e5", "g6", "h8", "f7"}

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Task/Knights-tour/Mathematica/knights-tour-3.math Normal file
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vertexLabels = (# -> ToString@c[[Quotient[# - 1, 8] + 1]] <> ToString[Mod[# - 1, 8] + 1]) & /@ Range[64]
(* out *)
{1 -> "a1", 2 -> "a2", 3 -> "a3", 4 -> "a4", 5 -> "a5", 6 -> "a6", 7 -> "a7", 8 -> "a8",
9 -> "b1", 10 -> "b2", 11 -> "b3", 12 -> "b4", 13 -> "b5", 14 -> "b6", 15 -> "b7", 16 -> "b8",
17 -> "c1", 18 -> "c2", 19 -> "c3", 20 -> "c4", 21 -> "c5", 22 -> "c6", 23 -> "c7", 24 -> "c8",
25 -> "d1", 26 -> "d2", 27 -> "d3", 28 -> "d4", 29 -> "d5", 30 -> "d6", 31 -> "d7", 32 -> "d8",
33 -> "e1", 34 -> "e2", 35 -> "e3", 36 -> "e4", 37 -> "e5", 38 -> "e6", 39 -> "e7", 40 -> "e8",
41 -> "f1", 42 -> "f2", 43 -> "f3", 44 -> "f4", 45 -> "f5", 46 -> "f6", 47 -> "f7", 48 -> "f8",
49 -> "g1", 50 -> "g2", 51 -> "g3", 52 -> "g4", 53 -> "g5", 54 -> "g6",55 -> "g7", 56 -> "g8",
57 -> "h1", 58 -> "h2", 59 -> "h3", 60 -> "h4", 61 -> "h5", 62 -> "h6", 63 -> "h7", 64 -> "h8"}

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Task/Knights-tour/Mathematica/knights-tour-4.math Normal file
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knightsGraph = KnightTourGraph[i, i, VertexLabels -> vertexLabels, ImagePadding -> 15];

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Task/Knights-tour/Mathematica/knights-tour-5.math Normal file
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hamiltonianCycle = ((FindHamiltonianCycle[knightsGraph] /. UndirectedEdge -> DirectedEdge) /. labels)[[1]];

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Task/Knights-tour/Mathematica/knights-tour-6.math Normal file
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end = Cases[hamiltonianCycle, (x_ \[DirectedEdge] start) :> x][[1]];

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Task/Knights-tour/Mathematica/knights-tour-7.math Normal file
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FindShortestPath[g, start, end]]