import sys input = sys.stdin.readline def Matprod(A, B, N): temp = [0] * N*N for i in range(N): for j in range(N): ij = i * N + j for k in range(N): temp[ij] += A[i*N+k] * B[k*N+j] return temp def Matpow_Linear(A, M, N): Mat = [0] * N*N for i in range(N): Mat[i*N+i] = 1 while M: if M & 1: Mat = Matprod(Mat, A, N) A = Matprod(A, A, N) M >>= 1 return Mat H, W, T = map(int, input().split()) sx, sy = map(int, input().split()) gx, gy = map(int, input().split()) N = H * W M = [0] * N * N B = [] for i in range(H): B.extend(list(input().rstrip())) dx = [-1, 0, 1, 0] dy = [0, -1, 0, 1] def f(h, w): return h * W + w for i in range(H): for j in range(W): v = f(i,j) if B[v] == "#": continue cnt = 0 for k in range(4): x = i + dx[k] y = j + dy[k] if B[f(x,y)] == "#": continue cnt += 1 if cnt == 0: M[v * N + v] = 1 else: for k in range(4): x = i + dx[k] y = j + dy[k] if B[f(x,y)] == "#": continue M[f(x,y) * N + v] += 1 / cnt M = Matpow_Linear(M, T, N) print(M[f(gx, gy) * N + f(sx, sy)])