from itertools import product
n, w = map(int, input().split())
a = list(map(int, input().split()))
if w == 0:
	zero = a.count(0)
	ans = 2 ** zero - 1
	print(ans)
	exit()
b = [i // 2 for i in a]
ans = 0
it = []
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
	it.append(tmp)
for i in it:
	l = []
	for j in range(len(i)):
		l.append([a[j], b[j]])
	st = []
	for k in product(*l):
		k = sorted(k)
		if sum(k) == w and k not in st:
			st.append(k)
			ans += 1
print(ans)