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

ans = 0
for b in range(1, 1 << N):
    # 別途c = 0のとき
    s = 0
    for i in range(N):
        if (b >> i) & 1:
            s += A[i]
    if s == W:
        ans += 1
        continue
    c = b
    while c:
        s = 0
        for i in range(N):
            if (c >> i) & 1:
                s += A[i] // 2
            elif (b >> i) & 1:
                s += A[i]
        if s == W:
            ans += 1
            break
        c -= 1
        c &= b
print(ans)