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

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

S=set()

for T in range(3**N):
    alpha=0
    beta=0

    for i in range(N):
        if T%3==0:
            alpha+=A[i]
            beta+=1<<i
        elif T%3==1:
            alpha+=A[i]//2
            beta+=1<<i

        T//=3

    if alpha==W and beta>0:
        S.add(beta)

print(len(S))