''' O(R*C*4^C) のはずなのに通らない。泣きたい。 ''' def bitcount(x): """ 立っているbitの数 """ x = (x & 0x5555) + (x >> 1 & 0x5555) x = (x & 0x3333) + (x >> 2 & 0x3333) x = (x & 0x0f0f) + (x >> 4 & 0x0f0f) x = (x & 0x00ff) + (x >> 8 & 0x00ff) return x def solve(): R, C = map(int, input().split()) P = [] S = [] input() for r in range(R): P.append([int(p) / 100 for p in input().split()]) input() for r in range(R): S.append(list(map(int, input().split()))) ans = 0 c1 = 1 << C Y = [[0.0] * c1 for r in range(R)] # Y[r][i]: r 行目の手を挙げる挙げないの組み合わせが i になる確率 for r in range(R): yr = Y[r] yr1 = Y[r - 1] pr = P[r] sr = S[r] for i in range(c1): # x: 自分たちの知ってる知ってないの組み合わせが i になる確率 x = 1.0 for c in range(C): if i & (1 << c): x *= pr[c] else: x *= (1 - pr[c]) if x == 0: continue # 前の行の組み合わせ j ごとに足し合わせる for j in range(c1 if r else 1): if r > 0: y = yr1[j] if y == 0: continue elif j == 0: y = 1.0 else: continue # hand の添字は 1-indexed hand = 0 for c in range(C): if i & (1 << c): p = 4 - sr[c] if j & (1 << c): p += 1 if p >= 4: hand |= 1 << (c + 1) for lr in range(2): for c in range(C): d = (c if lr else C - 1 - c) if i & (1 << d): p = 4 - sr[d] if hand & (1 << d): p += 1 if hand & (1 << (d + 2)): p += 1 if j & (1 << d): p += 1 if p >= 4: hand |= 1 << (d + 1) hand >>= 1 yx = y * x yr[hand] += yx ans += bitcount(hand) * yx print(ans) if __name__ == '__main__': solve()