import sys
def input():
	return sys.stdin.readline()[:-1]
n, q = map(int, input().split())
a = list(map(int, input().split()))
s = input()
MAX = 30
res = [[0 for _ in range(2)] for _ in range(MAX)]
for i in range(MAX):
	for j in range(2):
		tmp = 0
		z = j
		for k in range(n):
			x, y = s[k], (a[k] >> i) & 1
			if x == "0":
				nxt = z & y
			else:
				nxt = z | y
			tmp += (nxt ^ z) * (1 << i)
			z = nxt
		res[i][j] = tmp

ans = []
T = list(map(int, input().split()))
#print(*res, sep="\n")
for t in T:
	tmp = 0
	for i in range(MAX):
		tmp += res[i][(t >> i) & 1]
	ans.append(tmp)
print(*ans, sep="\n")