Wolfram
Mathematica
8의 신기능: 그래프 및 네트워크 분석
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응용 분야
복잡한 미로 풀이
Mathematica
8에서
FindShortestPath
를 이용한 미로 풀이를 살펴 봅니다.
In[1]:=
X
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StripOnInput -> False], StyleBox[ LineBox[{{25., 2.}, {25., 3.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{25., 3.}, {25., 4.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{25., 4.}, {25., 5.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{25., 5.}, {25., 6.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{25., 6.}, {26., 6.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{25., 7.}, {26., 7.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{25., 8.}, {26., 8.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{25., 8.}, {25., 9.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{25., 10.}, {26., 10.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{25., 11.}, {26., 11.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{25., 11.}, {25., 12.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{25., 13.}, {25., 14.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{25., 14.}, {25., 15.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{25., 16.}, {25., 17.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{25., 18.}, {26., 18.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{25., 19.}, {26., 19.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{26., 0.}, {27., 0.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{26., 0.}, {26., 1.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{26., 1.}, {26., 2.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{26., 2.}, {27., 2.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{26., 2.}, {26., 3.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{26., 3.}, {26., 4.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{26., 5.}, {26., 6.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{26., 5.}, {27., 5.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{26., 8.}, {26., 9.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{26., 9.}, {27., 9.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{26., 10.}, {26., 11.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{26., 12.}, {27., 12.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{26., 12.}, {26., 13.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{26., 13.}, {27., 13.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{26., 14.}, {27., 14.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{26., 14.}, {26., 15.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{26., 15.}, {26., 16.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{26., 16.}, {26., 17.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{26., 16.}, {27., 16.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{26., 18.}, {26., 19.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{26., 18.}, {27., 18.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{27., 0.}, {28., 0.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{27., 1.}, {27., 2.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{27., 3.}, {27., 4.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{27., 3.}, {28., 3.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{27., 4.}, {28., 4.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{27., 5.}, {27., 6.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{27., 6.}, {28., 6.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{27., 7.}, {28., 7.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{27., 7.}, {27., 8.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{27., 8.}, {27., 9.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{27., 10.}, {27., 11.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{27., 11.}, {27., 12.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{27., 12.}, {28., 12.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{27., 13.}, {27., 14.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{27., 15.}, {28., 15.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{27., 16.}, {28., 16.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{27., 17.}, {27., 18.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{27., 17.}, {28., 17.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{27., 19.}, {28., 19.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{28., 0.}, {28., 1.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{28., 0.}, {29., 0.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{28., 1.}, {28., 2.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{28., 2.}, {28., 3.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{28., 4.}, {29., 4.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{28., 5.}, {28., 6.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{28., 5.}, {29., 5.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{28., 7.}, {28., 8.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{28., 8.}, {29., 8.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{28., 9.}, {28., 10.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{28., 9.}, {29., 9.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{28., 10.}, {29., 10.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{28., 10.}, {28., 11.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{28., 11.}, {28., 12.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{28., 13.}, {28., 14.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{28., 14.}, {28., 15.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{28., 15.}, {28., 16.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{28., 17.}, {29., 17.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{28., 18.}, {28., 19.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{28., 19.}, {29., 19.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{29., 0.}, {29., 1.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{29., 1.}, {29., 2.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{29., 2.}, {29., 3.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{29., 4.}, {29., 5.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{29., 5.}, {29., 6.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{29., 6.}, {29., 7.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{29., 7.}, {29., 8.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{29., 10.}, {29., 11.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{29., 11.}, {29., 12.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{29., 12.}, {29., 13.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{29., 13.}, {29., 14.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{29., 14.}, {29., 15.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{29., 15.}, {29., 16.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{29., 16.}, {29., 17.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{29., 17.}, {29., 18.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{29., 18.}, {29., 19.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False], StyleBox[ LineBox[{{29., 19.}, {30., 19.}}], GrayLevel[1], Thickness[0.02], Opacity[1], CapForm["Square"], StripOnInput -> False]}}]}, DynamicBox[GraphComputation`NetworkGraphicsBox[ 1, Typeset`graph, Typeset`boxes], { CachedValue :> Typeset`boxes, SingleEvaluation -> True, SynchronousUpdating -> False, TrackedSymbols :> {}}, ImageSizeCache->{{0.17157287525380838`, 176.28842712474622`}, {-57.828427124746185`, 52.8284271247462}}]]], Background->GrayLevel[0], DefaultBaseStyle->{ "NetworkGraphics", FrontEnd`GraphicsHighlightColor -> Hue[0.8, 1., 0.6]}, FrameTicks->None, ImageSize->{178., Automatic}]\);
In[2]:=
X
highlightMazePath[path_] := Show[{Graphics[{GrayLevel[0.2], Rectangle[{-1., -1.}, {30., 20.}]}], maze, Graph[path, EdgeList[PathGraph[path]], VertexCoordinates -> AbsoluteOptions[maze, VertexCoordinates][[2, VertexIndex[maze, #] & /@ path]], VertexSize -> 0, EdgeStyle -> Directive[Thickness[0.01], Red, Opacity[1], CapForm["Round"]]]}, ImageSize -> 500]
In[3]:=
X
highlightMazePath[FindShortestPath[maze, "in", "out"]]
Out[3]=
