using System; using System.Collections.Generic; using System.Linq; using static System.Console; class Program { static void Main() { var RCT = ReadLine().Split().Select(int.Parse).ToArray(); var Syx = ReadLine().Split().Select(int.Parse).ToArray(); var Gyx = ReadLine().Split().Select(int.Parse).ToArray(); var R = RCT[0]; var C = RCT[1]; var T = RCT[2]; var Sy = Syx[0]; var Sx = Syx[1]; var Gy = Gyx[0]; var Gx = Gyx[1]; var map = new bool[R, C]; for (int i = 0; i < R; i++) { var line = ReadLine(); for (int j = 0; j < C; j++) { map[i, j] = line[j] == '.'; } } var d = new int[R, C]; for (int i = 1; i < R - 1; i++) { for (int j = 1; j < C - 1; j++) { if (map[i + 1, j]) d[i, j]++; if (map[i, j + 1]) d[i, j]++; if (map[i - 1, j]) d[i, j]++; if (map[i, j - 1]) d[i, j]++; } } if (d[Sy, Sx] == 0) { WriteLine(1); return; } var dp = new double[R, C, 100000]; dp[Sy, Sx, 0] = 1; for (int k = 1; k < 100000; k++) { for (int i = 1; i < R - 1; i++) { for (int j = 1; j < C - 1; j++) { dp[i, j, k] = (map[i + 1, j] ? dp[i + 1, j, k - 1] / d[i + 1, j] : 0) + (map[i - 1, j] ? dp[i - 1, j, k - 1] / d[i - 1, j] : 0) + (map[i, j + 1] ? dp[i, j + 1, k - 1] / d[i, j + 1] : 0) + (map[i, j - 1] ? dp[i, j - 1, k - 1] / d[i, j - 1] : 0); } } } if (T < 100000) WriteLine(dp[Gy, Gx, T]); else WriteLine(T % 2 == 0 ? dp[Gy, Gx, 99998] : dp[Gy, Gx, 99999]); } }