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

for i in range(1<<N):
    B=[]
    for j in range(N):
        if i & (1<<j)==0:
            B.append(A[j])
        else:
            B.append(A[j]//2)

    for j in range(1<<N):
        sc=0

        for k in range(N):
            if j & (1<<k)!=0:
                sc+=B[k]

        if sc==W:
            ANS.add(j)

print(len(ANS))