n, q = map(int, input().split())
A = list(map(int, input().split()))
S = input()
T = list(map(int, input().split()))

memo0 = []
memo1 = []

for i in range(32):
    vals = [(a >> i) & 1 for a in A]
    weight = 1 << i
    # i番目のbitが0のとき
    x = 0
    score = 0
    for s, v in zip(S, vals):
        if s == "0":
            xx = x & v
        else:
            xx = x | v
        if xx != x:
            score += weight
            x = xx
    memo0.append(score)

    # i番目のbitが0のとき
    x = 1
    score = 0
    for s, v in zip(S, vals):
        if s == "0":
            xx = x & v
        else:
            xx = x | v
        if xx != x:
            score += weight
            x = xx
    memo1.append(score)

for t in T:
    ans = 0
    for i in range(32):
        if (t >> i) & 1:
            ans += memo1[i]
        else:
            ans += memo0[i]
    print(ans)