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Ingy döt Net
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175
Task/Pentomino-tiling/C-sharp/pentomino-tiling.cs
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175
Task/Pentomino-tiling/C-sharp/pentomino-tiling.cs
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using System;
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using System.Linq;
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namespace PentominoTiling
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{
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class Program
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{
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static readonly char[] symbols = "FILNPTUVWXYZ-".ToCharArray();
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static readonly int nRows = 8;
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static readonly int nCols = 8;
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static readonly int target = 12;
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static readonly int blank = 12;
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static int[][] grid = new int[nRows][];
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static bool[] placed = new bool[target];
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static void Main(string[] args)
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{
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var rand = new Random();
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for (int r = 0; r < nRows; r++)
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grid[r] = Enumerable.Repeat(-1, nCols).ToArray();
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for (int i = 0; i < 4; i++)
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{
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int randRow, randCol;
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do
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{
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randRow = rand.Next(nRows);
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randCol = rand.Next(nCols);
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}
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while (grid[randRow][randCol] == blank);
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grid[randRow][randCol] = blank;
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}
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if (Solve(0, 0))
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{
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PrintResult();
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}
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else
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{
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Console.WriteLine("no solution");
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}
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Console.ReadKey();
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}
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private static void PrintResult()
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{
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foreach (int[] r in grid)
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{
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foreach (int i in r)
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Console.Write("{0} ", symbols[i]);
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Console.WriteLine();
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}
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}
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private static bool Solve(int pos, int numPlaced)
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{
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if (numPlaced == target)
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return true;
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int row = pos / nCols;
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int col = pos % nCols;
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if (grid[row][col] != -1)
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return Solve(pos + 1, numPlaced);
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for (int i = 0; i < shapes.Length; i++)
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{
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if (!placed[i])
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{
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foreach (int[] orientation in shapes[i])
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{
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if (!TryPlaceOrientation(orientation, row, col, i))
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continue;
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placed[i] = true;
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if (Solve(pos + 1, numPlaced + 1))
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return true;
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RemoveOrientation(orientation, row, col);
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placed[i] = false;
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}
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}
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}
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return false;
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}
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private static void RemoveOrientation(int[] orientation, int row, int col)
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{
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grid[row][col] = -1;
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for (int i = 0; i < orientation.Length; i += 2)
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grid[row + orientation[i]][col + orientation[i + 1]] = -1;
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}
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private static bool TryPlaceOrientation(int[] orientation, int row, int col, int shapeIndex)
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{
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for (int i = 0; i < orientation.Length; i += 2)
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{
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int x = col + orientation[i + 1];
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int y = row + orientation[i];
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if (x < 0 || x >= nCols || y < 0 || y >= nRows || grid[y][x] != -1)
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return false;
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}
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grid[row][col] = shapeIndex;
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for (int i = 0; i < orientation.Length; i += 2)
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grid[row + orientation[i]][col + orientation[i + 1]] = shapeIndex;
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return true;
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}
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// four (x, y) pairs are listed, (0,0) not included
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static readonly int[][] F = {
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new int[] {1, -1, 1, 0, 1, 1, 2, 1}, new int[] {0, 1, 1, -1, 1, 0, 2, 0},
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new int[] {1, 0, 1, 1, 1, 2, 2, 1}, new int[] {1, 0, 1, 1, 2, -1, 2, 0},
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new int[] {1, -2, 1, -1, 1, 0, 2, -1}, new int[] {0, 1, 1, 1, 1, 2, 2, 1},
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new int[] {1, -1, 1, 0, 1, 1, 2, -1}, new int[] {1, -1, 1, 0, 2, 0, 2, 1}};
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static readonly int[][] I = {
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new int[] { 0, 1, 0, 2, 0, 3, 0, 4 }, new int[] { 1, 0, 2, 0, 3, 0, 4, 0 } };
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static readonly int[][] L = {
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new int[] {1, 0, 1, 1, 1, 2, 1, 3}, new int[] {1, 0, 2, 0, 3, -1, 3, 0},
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new int[] {0, 1, 0, 2, 0, 3, 1, 3}, new int[] {0, 1, 1, 0, 2, 0, 3, 0},
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new int[] {0, 1, 1, 1, 2, 1, 3, 1}, new int[] {0, 1, 0, 2, 0, 3, 1, 0},
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new int[] {1, 0, 2, 0, 3, 0, 3, 1}, new int[] {1, -3, 1, -2, 1, -1, 1, 0}};
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static readonly int[][] N = {
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new int[] {0, 1, 1, -2, 1, -1, 1, 0}, new int[] {1, 0, 1, 1, 2, 1, 3, 1},
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new int[] {0, 1, 0, 2, 1, -1, 1, 0}, new int[] {1, 0, 2, 0, 2, 1, 3, 1},
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new int[] {0, 1, 1, 1, 1, 2, 1, 3}, new int[] {1, 0, 2, -1, 2, 0, 3, -1},
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new int[] {0, 1, 0, 2, 1, 2, 1, 3}, new int[] {1, -1, 1, 0, 2, -1, 3, -1}};
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static readonly int[][] P = {
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new int[] {0, 1, 1, 0, 1, 1, 2, 1}, new int[] {0, 1, 0, 2, 1, 0, 1, 1},
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new int[] {1, 0, 1, 1, 2, 0, 2, 1}, new int[] {0, 1, 1, -1, 1, 0, 1, 1},
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new int[] {0, 1, 1, 0, 1, 1, 1, 2}, new int[] {1, -1, 1, 0, 2, -1, 2, 0},
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new int[] {0, 1, 0, 2, 1, 1, 1, 2}, new int[] {0, 1, 1, 0, 1, 1, 2, 0}};
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static readonly int[][] T = {
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new int[] {0, 1, 0, 2, 1, 1, 2, 1}, new int[] {1, -2, 1, -1, 1, 0, 2, 0},
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new int[] {1, 0, 2, -1, 2, 0, 2, 1}, new int[] {1, 0, 1, 1, 1, 2, 2, 0}};
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static readonly int[][] U = {
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new int[] {0, 1, 0, 2, 1, 0, 1, 2}, new int[] {0, 1, 1, 1, 2, 0, 2, 1},
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new int[] {0, 2, 1, 0, 1, 1, 1, 2}, new int[] {0, 1, 1, 0, 2, 0, 2, 1}};
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static readonly int[][] V = {
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new int[] {1, 0, 2, 0, 2, 1, 2, 2}, new int[] {0, 1, 0, 2, 1, 0, 2, 0},
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new int[] {1, 0, 2, -2, 2, -1, 2, 0}, new int[] {0, 1, 0, 2, 1, 2, 2, 2}};
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static readonly int[][] W = {
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new int[] {1, 0, 1, 1, 2, 1, 2, 2}, new int[] {1, -1, 1, 0, 2, -2, 2, -1},
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new int[] {0, 1, 1, 1, 1, 2, 2, 2}, new int[] {0, 1, 1, -1, 1, 0, 2, -1}};
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static readonly int[][] X = { new int[] { 1, -1, 1, 0, 1, 1, 2, 0 } };
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static readonly int[][] Y = {
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new int[] {1, -2, 1, -1, 1, 0, 1, 1}, new int[] {1, -1, 1, 0, 2, 0, 3, 0},
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new int[] {0, 1, 0, 2, 0, 3, 1, 1}, new int[] {1, 0, 2, 0, 2, 1, 3, 0},
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new int[] {0, 1, 0, 2, 0, 3, 1, 2}, new int[] {1, 0, 1, 1, 2, 0, 3, 0},
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new int[] {1, -1, 1, 0, 1, 1, 1, 2}, new int[] {1, 0, 2, -1, 2, 0, 3, 0}};
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static readonly int[][] Z = {
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new int[] {0, 1, 1, 0, 2, -1, 2, 0}, new int[] {1, 0, 1, 1, 1, 2, 2, 2},
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new int[] {0, 1, 1, 1, 2, 1, 2, 2}, new int[] {1, -2, 1, -1, 1, 0, 2, -2}};
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static readonly int[][][] shapes = { F, I, L, N, P, T, U, V, W, X, Y, Z };
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}
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}
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