N, W = map(int, input().split())
A = list(map(int, input().split()))

ans = set()
for S in range(3 ** N):
    tot = 0
    buy = 0
    for i, a in enumerate(A):
        if S % 3 == 0:
            tot += a
            buy |= (1 << i)
        elif S % 3 == 1:
            tot += a // 2
            buy |= (1 << i)
        S //= 3
    if W == tot and buy != 0:
        ans.add(buy)

print(len(ans))