n,w = map(int,input().split())
A = list(map(int,input().split()))
ans = 0

for i in range(1,1<<n):
    
    s = set()
    s.add(0)
    for j in range(n):
        if i >> j & 1:
            ns = set()
            for k in s:
                if k+A[j] <= w:
                    ns.add(k+A[j])
                if k+A[j]//2 <= w:
                    ns.add(k+A[j]//2)
            s = ns
    if w in s:
        ans += 1
print(ans)