"""

https://yukicoder.me/problems/no/1245

各桁ごとに1の場合、0の場合で最後いくつになるかを計算しておけばいい

"""

from sys import stdin
import sys

N,Q = map(int,stdin.readline().split())

A = list(map(int,stdin.readline().split()))
S = stdin.readline()[:-1]

t = list(map(int,stdin.readline().split()))

d = [ [0,0] for i in range(32) ]

for x in range(30):

    fil = 2**x
    
    for y in range(2):

        now = fil * y
        ans = 0

        for i in range(N):

            if S[i] == "0":
                nex = (now & A[i]) & fil
            else:
                nex = (now | A[i]) & fil
            ans += abs(nex-now)
            now = nex

        d[x][y] = ans

#print (d)

ANS = []
for nt in t:

    now = 0
    for x in range(32):
        if (2**x) & nt > 0:
            now += d[x][1]
        else:
            now += d[x][0]
    ANS.append(now)

print ("\n".join(map(str,ANS)))