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

ans = 0
for i in range(1, 1 << N):
    flag = 0
    cnt = 0
    for j in range(N):
        if (i >> j) & 1:
            cnt += A[j]
    if cnt == W:
        flag = 1
        
    sub = i
    while sub:
        temp = W
        for j in range(N):
            if (sub >> j) & 1:
                temp += A[j]//2
        if cnt == temp:
            flag = 1
        sub = i & (sub - 1)

    ans += flag
print(ans)