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

ans = 0
for status in range(1 << N):
    val = 0
    for i in range(N):
        if (status >> i) & 1:
            val += A[i] // 2
    if val > W:
        continue
    for bits in range(1 << N):
        temp = val
        for i in range(N):
            if (status >> i) & 1 == 0 or (bits >> i) & 1 == 0:
                continue
            temp += A[i] // 2
        if temp == W:
            ans += 1
            break

print(ans)