import java.util.ArrayList;
import java.util.List;
import java.util.Scanner;

public class Main {
	public static void main(String[] args) throws Exception {
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		int w = sc.nextInt();
		int[] a = new int[n];
		for (int i = 0; i < n; i++) {
			a[i] = sc.nextInt();
		}
		sc.close();

		int ans = 0;
		int end = 1 << n;
		for (int i = 1; i < end; i++) {
			List<Integer> list = new ArrayList<>();
			for (int j = 0; j < n; j++) {
				if ((i >> j & 1) == 1) {
					list.add(a[j]);
				}
			}
			int size = list.size();
			int end2 = 1 << size;
			for (int j = 0; j < end2; j++) {
				long sum = 0;
				for (int j2 = 0; j2 < size; j2++) {
					if ((j >> j2 & 1) == 1) {
						sum += list.get(j2) / 2;
					} else {
						sum += list.get(j2);
					}
				}
				if (sum == w) {
					ans++;
					break;
				}
			}
		}
		System.out.println(ans);
	}
}