from itertools import product
n, w = map(int, input().split())
a = list(map(int, input().split()))
b = [i // 2 for i in a]
ans = 0
items = [i for i in range(n)]
for bits in product([0, 1], repeat=n):
	tmp = [x for x, bit in zip(items, bits) if bit == 1]
	if tmp == []:
		continue
	l, l_2 = [], []
	for j in range(len(tmp)):
		l.append([a[tmp[j]], b[tmp[j]]])
	for k in product(*l):
		k = sorted(k)
		if sum(k) == w and k not in l_2:
			l_2.append(k)
			ans += 1
print(ans)