from itertools import product
N,W = map(int,input().split())
A = list(map(int,input().split()))
bit_lst = list(product([False, True], repeat=N))
goods_lst = []
for bits in bit_lst[1:]:
	i = 0
	goods = []
	for bit in bits:
		if bit:
			goods.append(A[i])
		i += 1
	goods_lst.append(goods)

# print(goods_lst)

yen_lst = []
for goods in goods_lst:
	bit_lst = [[True] * len(goods) for _ in range(len(goods)+1)]
	for l in range(len(goods)):
		bit_lst[l][l] = False
	
	# print(bit_lst, goods)
	for bits in bit_lst:
		yen = 0
		for i, bit in enumerate(bits):
			if bit:
				yen += goods[i]
			else:
				yen += goods[i] // 2
		yen_lst.append(yen)

# print(yen_lst)

ans = 0
for yen in yen_lst:
	if W == yen:
		ans += 1
print(ans)