n,q=map(int,input().split())
a=list(map(int,input().split()))
s=input()
t=list(map(int,input().split()))
l=max(max(a),max(t)).bit_length()
points=[[0]*2 for _ in range(l)]
for i in range(l-1,-1,-1):
    k=2**i
    tmp1=0
    tmp2=1
    for j in range(n):
        if s[j]=='0':
            #bit on
            if a[j]&k:
                continue
            #bit off
            else:
                if tmp1==1:
                    tmp1=0
                    points[i][0]+=k
                if tmp2==1:
                    tmp2=0
                    points[i][1]+=k
        elif s[j]=='1':
            #bit on
            if a[j]&k:
                if tmp1==0:
                    tmp1=1
                    points[i][0]+=k
                if tmp2==0:
                    tmp2=1
                    points[i][1]+=k
            #bit off
            else:
                continue
for val in t:
    tmp=0
    for i in range(l-1,-1,-1):
        #bit on
        if val&(2**i):
            tmp+=points[i][1]
        #bit off
        else:
            tmp+=points[i][0]
    print(tmp)