N, Q = map(int, input().split())
A = list(map(int, input().split()))
S = input()
lis = [[0]*31 for _ in range(2)]
q = 1
for p in range(31):
  score = 0
  r = q
  for i in range(N):
    u = A[i]&(1<<p)
    if S[i]=='0':
      s = r&u
    else:
      s = r|u
    score += abs(s-r)
    r = s
  lis[1][p] = score
  score = 0
  r = 0
  for i in range(N):
    u = A[i]&(1<<p)
    if S[i]=='0':
      s = r&u
    else:
      s = r|u
    score += abs(s-r)
    r = s
  lis[0][p] = score
  q <<= 1
ans = [0]*Q
T = list(map(int, input().split()))
for i in range(Q):
  t = T[i]
  for p in range(31):
    if t&(1<<p):
      ans[i] += lis[1][p]
    else:
      ans[i] += lis[0][p]
print(*ans, sep='\n')