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

for i in range(1<<n):
    nA = []
    for j in range(n):
        if i >> j & 1:
            nA.append(A[j]//2)
        else:
            nA.append(A[j])
    for j in range(1<<n):
        count = 0
        for k in range(n):
            if j >> k & 1:
                count += nA[k]
            if count > w:
                break
        if count == w:
            ans.add(j)
print(len(ans))