N, W = map(int, input().split())
A = [int(a) for a in input().split()]
ans = 0
for i in range(1 << N):
    j = i + 1
    while j:
        j = (j - 1) & i
        s = 0
        for k in range(N):
            if j >> k & 1:
                s += A[k] // 2
            elif i >> k & 1:
                s += A[k]
        if s == W:
            ans += 1
            break
print(ans)