import sys
readline=sys.stdin.readline

N,W=map(int,readline().split())
A=list(map(int,readline().split()))
ans=0
for bit in range(1,1<<N):
    lst=[A[i] for i in range(N) if bit>>i&1]
    l=len(lst)
    for bit in range(1<<l):
        price=[]
        for i in range(l):
            if bit>>i&1:
                price.append(lst[i]//2)
            else:
                price.append(lst[i])
        if sum(price)==W:
            ans+=1
            break
print(ans)