import java.io.*;
import java.util.*;

public class Main {
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner();
        int n = sc.nextInt();
        int w = sc.nextInt();
        int[] size = new int[n];
        for (int i = 0; i < n; i++) {
            size[i] = sc.nextInt();
        }
        long[] dp = new long[1 << n];
        int count = 0;
        for (int i = 1; i < (1 << n); i++) {
            for (int j = 0; j < n; j++) {
                if ((i & (1 << j)) == 0) {
                    continue;
                }
                dp[i] = dp[i ^ (1 << j)] + size[j];
                break;
            }
            if (dp[i] < w) {
                continue;
            }
            boolean flag = (dp[i] == w);
            for (int j = i; j > 0 && !flag; j = (j - 1) & i) {
                flag = (dp[i] - dp[j] / 2 == w);
            }
            if (flag) {
                count++;
            }
        }
        System.out.println(count);
    }
}

class Scanner {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringTokenizer st = new StringTokenizer("");
    
    public Scanner() throws Exception {
        
    }
    
    public int nextInt() throws Exception {
        return Integer.parseInt(next());
    }
    
    public long nextLong() throws Exception {
        return Long.parseLong(next());
    }
    
    public String next() throws Exception {
        if (!st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }
}