n,q=map(int,input().split())
a=list(map(int,input().split()))
s=input()
tary=list(map(int,input().split()))
now1=2**30-1
now0=0
ary1=[0]*30
ary0=[0]*30
for ai,si in zip(a,list(s)):
  pre1=now1
  pre0=now0
  if si=='0':
    now1&=ai
    now0&=ai
  else:
    now1|=ai
    now0|=ai
  for i in range(30):
    bit=1<<i
    ary0[i]+=abs((now0&bit)-(pre0&bit))
    ary1[i]+=abs((now1&bit)-(pre1&bit))
for t in tary:
  tmp=0
  for i in range(30):
    if (t>>i)&1:
      tmp+=ary1[i]
    else:
      tmp+=ary0[i]
  print(tmp)