n,w=map(int,input().split())
A=list(map(int,input().split()))
ans=0
for i in range(1<<n):
    ind=[]
    sum=0
    cnt=0
    for j in range(n):
        if i & 1<<j:
            sum+=A[j]
            ind.append(j)
            cnt+=1
    if sum<w:
        continue
    for j in range(1<<cnt):
        tmpSum=sum
        for k in range(cnt):
            if j & 1<<k:
                tmpSum-=A[ind[k]]//2
        if tmpSum==w:
            ans+=1
            break
        
print(ans)