n,w=map(int,input().split())
a=list(map(int,input().split()))
c=0
for i in range(1,1<<n):
  b=[a[j] for j in range(n) if (i>>j)&1]
  B=sum(b)
  f=0
  m=len(b)
  for ii in range(1<<m):
    bb=sum(b[jj]//2 for jj in range(m) if (ii>>jj)&1)
    f|=B-bb==w
  c+=f
print(c)