n, w = map(int, input().split())
a = list(map(int, input().split()))
ans = 0
for b in range(1, 1 << n):
	cnt = 0
	l = []
	for i in range(n):
		if b >> i & 1:
			cnt += a[i]
			l.append(a[i])
	f = False
	if cnt == w: f = True
	for b2 in range(1 << len(l)):
		cnt2 = cnt
		for i in range(len(l)):
			if b2 >> i & 1:
				cnt2 -= l[i] // 2
		if cnt2 == w: f = True; break
	ans += f
print(ans)