import sys

# sys.setrecursionlimit(200005)
int1 = lambda x: int(x)-1
pDB = lambda *x: print(*x, end="\n", file=sys.stderr)
p2D = lambda x: print(*x, sep="\n", end="\n\n", file=sys.stderr)
def II(): return int(sys.stdin.readline())
def LI(): return list(map(int, sys.stdin.readline().split()))
def LLI(rows_number): return [LI() for _ in range(rows_number)]
def LI1(): return list(map(int1, sys.stdin.readline().split()))
def LLI1(rows_number): return [LI1() for _ in range(rows_number)]
def SI(): return sys.stdin.readline().rstrip()
dij = [(0, 1), (-1, 0), (0, -1), (1, 0)]
# dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)]
inf = (1 << 63)-1
# inf = (1 << 31)-1
md = 10**9+7
# md = 998244353

n, q = LI()
aa = LI()
s = SI()

mask = 1
ss = []
for k in range(31):
    s0 = s1 = 0
    x0, x1 = 0, mask
    for a, c in zip(aa, s):
        a &= mask
        if c == "0":
            s0 += abs(x0-(x0 & a))
            s1 += abs(x1-(x1 & a))
            x0 &= a
            x1 &= a
        else:
            s0 += abs(x0-(x0 | a))
            s1 += abs(x1-(x1 | a))
            x0 |= a
            x1 |= a
    mask <<= 1
    ss.append([s0, s1])

for t in LI():
    ans = 0
    for k in range(31):
        if t >> k & 1:
            ans += ss[k][1]
        else:
            ans += ss[k][0]
    print(ans)