N,W = map(int,input().split())
a = list(map(int,input().split()))
ans = set()
for bit in range(1<<N):
    b = list(a)
    for i in range(N):
        if bit & (1 << i):
            b[i] //= 2
    for bit2 in range(1<<N):
        ret = 0
        for i in range(N):
            if bit2 & (1 << i):
                ret += b[i]
        if ret == W:
            ans.add(bit2)
print(len(ans))