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 0:
                b <<= 1

            case 1:
                tot += A[i]
                b = (b << 1) | 1

            case 2:
                tot += A[i] // 2
                b = (b << 1) | 1

    if tot == W:
        used.add(b)

ans = len(used)
print(ans)