from itertools import product
import sys

def main():
	input = sys.stdin.readline
	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:]:
		goods = []
		for i, bit in enumerate(bits):
			if bit:
				goods.append(A[i])
		goods_lst.append(goods)

	# print(goods_lst)

	receipt = []
	for goods, bits in zip(goods_lst, bit_lst[1:]):
		even_lst = list(product([False, True], repeat=len(goods)))
		
		# print(even_lst, goods)
		for evens in even_lst:
			yen = 0
			for i, even in enumerate(evens):
				if even:
					yen += goods[i]
				else:
					yen += goods[i] // 2
			if W == yen:
				receipt.append(bits)

		
	print(len(set(receipt)))

if __name__ == '__main__':
	main()