from itertools import product
n,w=map(int,input().split())
a=list(map(int,input().split()))
ans=0

for i in product([0,1],repeat=n):
    t=i.count(1)
    if t == 0:
        continue
    for j in product([0,1],repeat=t):
        indj=0
        cntw=0
        for k in range(n):
            if i[k] == 1:
                if j[indj] == 1:
                    cntw += a[k]//2
                else:
                    cntw += a[k]
                indj+=1
        
        if cntw == w:
            ans+=1
            break
                
print(ans)