N,Q = map(int,input().split())
A = list(map(int,input().split()))
S = list(input())
T = list(map(int,input().split()))
ZEROSUM = [0]*40
ONESUM = [0]*40
zero = [0]*40
one = [1]*40
for i in range(N):
    s = int(S[i])
    a = A[i]
    ab = list(format(a, 'b').zfill(40))[::-1]
    for j in range(40):
        ab[j] = int(ab[j])


    for j in range(40):
        if s==0:
            if zero[j]==1 and ab[j]==0:
                ZEROSUM[j]+=pow(2,j)
            if one[j]==1 and ab[j]==0:
                ONESUM[j]+=pow(2,j)
            zero[j] = zero[j]&ab[j]
            one[j] = one[j]&ab[j]
        else:
            if zero[j]==0 and ab[j]==1:
                ZEROSUM[j]+=pow(2,j)
            if one[j]==0 and ab[j]==1:
                ONESUM[j]+=pow(2,j)
            zero[j] = zero[j]|ab[j]
            one[j] = one[j]|ab[j]


for t in T:
    B = list(format(t, 'b').zfill(40))[::-1]
    ans = 0
    for i,b in enumerate(B):
        if B[i]=='0':
            ans+=ZEROSUM[i]        
        else:
            ans+=ONESUM[i]
    print(ans)