N,Q = map(int,input().split())
A = list(map(int,input().split()))
S = input()
T = list(map(int,input().split()))
K00 = 0
K10 = (1<<30) - 1
X = [[0] * 30 for _ in range(2)]

for i in range(N):
    if S[i] == "0":
        K01 = K00 & A[i]
        K11 = K10 & A[i]
    else:
        K01 = K00 | A[i]
        K11 = K10 | A[i]
    DK0 = abs(K00 - K01)
    DK1 = abs(K10 - K11)
    for j in range(30):
        X[0][j] += (DK0 >> j) & 1
        X[1][j] += (DK1 >> j) & 1
    K00 = K01
    K10 = K11

for t in T:
    ans = 0
    for i in range(30):
        if t & (1<<i):
            ans += X[1][i] << i
        else:
            ans += X[0][i] << i
    print(ans)