N,W = map(int,input().split())
A = list(map(lambda x:int(x) // 2,input().split()))

ans = 0
for status in range(1 << N):
    items = []
    for i in range(N):
        if (status >> i) & 1:
            items.append(A[i])
    rest = W - sum(items)
    if rest < 0:
        continue
    if rest == 0:
        ans += 1
        continue
    # itemsから幾つかを選んでrestに出来るか
    M = len(items)
    for bits in range(1 << M):
        val = 0
        for i in range(N):
            if (bits >> i) & 1:
                val += items[i]
                if val >= rest:
                    break
        if val == rest:
            ans += 1
            break
                
print(ans)