def I(): return int(input())
def MI(): return map(int, input().split())
def LI(): return list(map(int, input().split()))

def main():
    mod=10**9+7
    N,Q=MI()
    A=LI()
    S=input()
    T=LI()
    
    M=60
    
    # 各桁について，元が0,1の時のscoreを求めておく
    zero=[0]*M
    one =[0]*M
    
    def calc(st):
        for i in range(M):#右からi桁目
            now=st
            score=0
            diff=pow(2,i)
            for j,a in enumerate(A):
                aa=(a>>i)&1
                
                # print(a,j)
                if S[j]=="0":
                    nxt=now & aa
                else:
                    nxt=now | aa
                    
                if now!=nxt:
                    score+=diff
                now=nxt
            if st==0:
                zero[i]=score
            else:
                one[i]=score
                
    calc(0)
    calc(1)
    for t in T:
        score=0
        for i in range(M):
            aa=(t>>i)&1
            if aa==0:
                score+=zero[i]
            else:
                score+=one[i]
                
        print(score)
            
        
        


            


main()