N, Q = map(int, input().split())
A = tuple(map(int, input().split()))
S = input()
T = map(int, input().split())

MAX = 31
dp0 = [0] * MAX
dp1 = [0] * MAX
cur0 = 0
cur1 = (1 << MAX) - 1
for a, s in zip(A, S):
    if s == "0":
        diff0 = cur0 - (cur0 & a)
        cur0 &= a
        diff1 = cur1 - (cur1 & a)
        cur1 &= a
    else:
        diff0 = (cur0 | a) - cur0
        cur0 |= a
        diff1 = (cur1 | a) - cur1
        cur1 |= a

    for i in range(MAX):
        dp0[i] += (diff0 >> i) & 1
        dp1[i] += (diff1 >> i) & 1

for t in T:
    ans = 0
    for i in range(MAX):
        if (t >> i) & 1:
            ans += dp1[i] << i
        else:
            ans += dp0[i] << i
    print(ans)