import sys
input = sys.stdin.readline

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

X=[-1]*31
X2=[-1]*31
score=0

for i in range(N):
    a=A[i]
    s=int(S[i])
    for j in range(31):
        if a & (1<<j) == 0:
            if s==0:
                if X[j]==-1:
                    X[j]=0
                    X2[j]=0
                elif X2[j]==1:
                    X2[j]=0
                    score+=1<<j
        else:
            if s==1:
                if X[j]==-1:
                    X[j]=1
                    X2[j]=1
                elif X2[j]==0:
                    X2[j]=1
                    score+=1<<j
    #print(X)

for t in T:
    score2=0
    for j in range(31):
        if X[j]==0:
            if t & (1<<j) !=0:
                score2+=1<<j
        elif X[j]==1:
            if t & (1<<j) ==0:
                score2+=1<<j

    print(score+score2)