def mat_mul(A, B): C = [[0]*len(B[0]) for _ in range(len(A))] for i in range(len(A)): for j in range(len(B[0])): C[i][j] = sum(A[i][k]*B[k][j] for k in range(len(A[0]))) return C def mat_pow(A, n): res = [[0]*len(A) for _ in range(len(A))] for i in range(len(A)): res[i][i] = 1 while n > 0: if n&1: res = mat_mul(A, res) n >>= 1 A = mat_mul(A, A) return res R, C, T = map(int, input().split()) Sx, Sy = map(int, input().split()) Gx, Gy = map(int, input().split()) B = [input() for _ in range(R)] #変換行列Tr: Tr[i][j]: jからiへ移動する確率 Tr = [[0]*(R*C) for _ in range(R*C)] for i in range(R): for j in range(C): if B[i][j] == '#': continue cnt = 0 for ni, nj in [(i-1, j), (i+1, j), (i, j-1), (i, j+1)]: if B[ni][nj] == '.': cnt += 1 if cnt == 0: Tr[C*i+j][C*i+j] = 1 continue p = 1/cnt for ni, nj in [(i-1, j), (i+1, j), (i, j-1), (i, j+1)]: if B[ni][nj] == '.': Tr[C*ni+nj][C*i+j] = p before = [[0] for _ in range(R*C)] before[C*Sx+Sy][0] = 1 after = mat_mul(mat_pow(Tr, T), before) print(after[C*Gx+Gy][0])