from operator import itemgetter
from itertools import *
from bisect import *
from collections import *
from heapq import *
import sys

# input=sys.stdin.buffer.readline
input=sys.stdin.readline

sys.setrecursionlimit(10**6)
int1 = lambda x: int(x)-1
p2D = lambda x: print(*x, sep="\n")
def II(): return int(input())
def MI(): return map(int, input().split())
def MI1(): return map(int1, input().split())
def LI(): return list(map(int, input().split()))
def LI1(): return list(map(int1, input().split()))
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def SI(): return input()[:-1]
def LLI1(rows_number): return [LI1() for _ in range(rows_number)]
dij = [(1, 0), (0, 1), (-1, 0), (0, -1)]

n,q=MI()
aa=LI()
ss=SI()
tt=LI()
start=[-1]*30
base=0
for k in range(30):
    pre = -1
    for s, a in zip(ss, aa):
        d=a>>k&1
        if pre!=-1:
            if s=="0":cur=pre&d
            else:cur=pre|d
            base+=(pre^cur)<<k
            pre=cur
        if d==int(s) and start[k]==-1:
            start[k]=d
            pre=d
# print(base,start)

for t in tt:
    ans=base
    for k in range(30):
        if start[k]==-1:continue
        ans+=((t>>k&1)^start[k])<<k
    print(ans)