N, W = gets.split(" ").map{|s| s.to_i}

a = gets.split(" ").map{|s| s.to_i}

w0 = [[0, []]]

0.upto(N-1) {|i|
	w1 = []
	w0.each {|w, v|
		w1 << [w, v]
		tmp = [w + a[i] / 2, v + [i]]
		w1 << tmp if tmp[0] <= W
		tmp = [w + a[i], v + [i]]
		w1 << tmp if tmp[0] <= W
	}
	w0 = w1
}

w0.shift if W == 0

puts w0.filter{|x, y| x == W}.map{|x, y| y}.uniq.length