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package class21;

public class Code05_BobDie {

public static double livePosibility1(int row, int col, int k, int N, int M) {

return (double) process(row, col, k, N, M) / Math.pow(4, k);

}

// 目前在row，col位置，还有rest步要走，走完了如果还在棋盘中就获得1个生存点，返回总的生存点数

public static long process(int row, int col, int rest, int N, int M) {

if (row < 0 || row == N || col < 0 || col == M) {

return 0;

}

// 还在棋盘中！

if (rest == 0) {

return 1;

}

// 还在棋盘中！还有步数要走

long up = process(row - 1, col, rest - 1, N, M);

long down = process(row + 1, col, rest - 1, N, M);

long left = process(row, col - 1, rest - 1, N, M);

long right = process(row, col + 1, rest - 1, N, M);

return up + down + left + right;

}

public static double livePosibility2(int row, int col, int k, int N, int M) {

long[][][] dp = new long[N][M][k + 1];

for (int i = 0; i < N; i++) {

for (int j = 0; j < M; j++) {

dp[i][j][0] = 1;

}

}

for (int rest = 1; rest <= k; rest++) {

for (int r = 0; r < N; r++) {

for (int c = 0; c < M; c++) {

dp[r][c][rest] = pick(dp, N, M, r - 1, c, rest - 1);

dp[r][c][rest] += pick(dp, N, M, r + 1, c, rest - 1);

dp[r][c][rest] += pick(dp, N, M, r, c - 1, rest - 1);

dp[r][c][rest] += pick(dp, N, M, r, c + 1, rest - 1);

}

}

}

return (double) dp[row][col][k] / Math.pow(4, k);

}

public static long pick(long[][][] dp, int N, int M, int r, int c, int rest) {

if (r < 0 || r == N || c < 0 || c == M) {

return 0;

}

return dp[r][c][rest];

}

public static void main(String[] args) {

System.out.println(livePosibility1(6, 6, 10, 50, 50));

System.out.println(livePosibility2(6, 6, 10, 50, 50));

}

}