from re import I


N, Q = map(int, input().split())
A =list(map(int, input().split()))
S = input()
t = list(map(int, input().split()))

bit = [1<<i for i in range(30)]
cal = [[0]*2 for _ in range(30)]
num = [[0,1] for _ in range(30)]
for i in range(len(S)):
    for j in range(30):
        for k in range(2):
            b1 = num[j][k]
            b2 = 1 if A[i]&bit[j] else 0
            if S[i]=='0':
                nex = b1&b2
                if nex!=b1:
                    cal[j][k] += bit[j]
                num[j][k] = nex
            else:
                nex = b1|b2
                if nex!=b1:
                    cal[j][k] += bit[j]
                num[j][k] = nex
for i in range(Q):
    score = 0
    for j in range(30):
        if t[i]&bit[j]:
            score += cal[j][1]
        else:
            score += cal[j][0]
    print(score)