N,W=map(int,input().split())
A=list(map(int,input().split()))
ANS=0

if W==0:
    X=0
    for a in A:
        if a==0:
            X+=1
    print(pow(2,X)-1)
    exit()


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

    for k in range(N):
        AD=[]
        if j & (1<<k)!=0:
            for x in sc:
                AD.append(x+A[k])
                AD.append(x+A[k]//2)
            sc=set(AD)

    if W in sc:
        ANS+=1

print(ANS)