mod = 1000000007
eps = 10**-9


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

    N, Q = map(int, input().split())
    A = list(map(int, input().split()))
    S = input().rstrip('\n')
    T = list(map(int, input().split()))

    zero = [0] * 31
    one = [0] * 31
    # zero start
    cur = [0] * 31
    for i in range(N):
        a = A[i]
        for j in range(31):
            aj = a >> j & 1
            if S[i] == "0":
                if cur[j] == 1 and aj == 0:
                    zero[j] += 1 << j
                cur[j] = cur[j] & aj
            else:
                if cur[j] == 0 and aj == 1:
                    zero[j] += 1 << j
                cur[j] = cur[j] | aj
    # one start
    cur = [1] * 31
    for i in range(N):
        a = A[i]
        for j in range(31):
            aj = a >> j & 1
            if S[i] == "0":
                if cur[j] == 1 and aj == 0:
                    one[j] += 1 << j
                cur[j] = cur[j] & aj
            else:
                if cur[j] == 0 and aj == 1:
                    one[j] += 1 << j
                cur[j] = cur[j] | aj

    for t in T:
        ans = 0
        for j in range(31):
            if t >> j & 1:
                ans += one[j]
            else:
                ans += zero[j]
        print(ans)


if __name__ == '__main__':
    main()