from itertools import product

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

used = set()
for xs in product([0, 1, 2], repeat=N):
    tot = 0
    b = 0
    for i, x in enumerate(xs):
        match x:
            case 1:
                tot += A[i]
            case 2:
                tot += A[i] // 2

        b = (b << 1) | int(bool(x))

    if tot == W and b > 0:
        used.add(b)

ans = len(used)
print(ans)