N, W = map(int, input().split())
a = list(map(int, input().split()))
ans = 0
for i in range(1, 1 << N):
  C = []
  res = 0
  add = 0
  for j in range(N):
    if i & 1 << j:
      res += a[j]
      C.append(j)
  if res == W:
    add = 1

  L = len(C)
  for j in range(1 << L):
    res2 = res
    for k in range(L):
      if j & 1 << k:
        res2 -= a[C[k]] // 2

    if res2 == W:
      add = 1

  ans += add
print(ans)