mod = 998244353


def main():
    import sys
    input = sys.stdin.readline

    N, K = map(int, input().split())
    G = []
    for _ in range(N * 2):
        G.append(input().rstrip('\n'))
    C = []
    for _ in range(2*N):
        C.append(list(map(int, input().split())))

    cnt = 0
    A = []
    for h in range(2*N):
        for w in range(2*N):
            A.append(C[h][w])
            if G[h][w] == "#":
                cnt += 1
    A.sort(reverse=True)
    ans = 0
    for i in range(cnt):
        ans += A[i]
    
    if cnt & 1 == 0:
        B = []
        for h in range(2*N):
            for w in range(N):
                B.append(C[h][w] + C[h][-w-1])
        ans2 = K
        B.sort(reverse=True)
        for i in range(cnt // 2):
            ans2 += B[i]
        ans = max(ans, ans2)
    print(ans)


if __name__ == '__main__':
    main()