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

public class Main {
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner();
        int n = sc.nextInt();
        int w = sc.nextInt();
        long[] values = new long[n];
        for (int i = 0; i < n; i++) {
            values[i] = sc.nextInt();
        }
        long[] dp = new long[1 << n];
        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)] + values[j];
                break;
            }
        }
        int ans = 0;
        for (int i = 0; i < (1 << n); i++) {
            if (dp[i] == w) {
                ans++;
            }
            for (int j = 0; j < n; j++) {
                if ((i & (1 << j)) >  0) {
                    if (dp[i] - values[j] / 2 == w) {
                        ans++;
                    }
                }
            }
        }
        System.out.println(ans);
    }
}
class Utilities {
    static String arrayToLineString(Object[] arr) {
        return Arrays.stream(arr).map(x -> x.toString()).collect(Collectors.joining("\n"));
    }
    
    static String arrayToLineString(int[] arr) {
        return String.join("\n", Arrays.stream(arr).mapToObj(String::valueOf).toArray(String[]::new));
    }
}
class Scanner {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringTokenizer st = new StringTokenizer("");
    StringBuilder sb = new StringBuilder();
    
    public Scanner() throws Exception {
        
    }
    
    public int nextInt() throws Exception {
        return Integer.parseInt(next());
    }
    
    public long nextLong() throws Exception {
        return Long.parseLong(next());
    }
    
    public double nextDouble() throws Exception {
        return Double.parseDouble(next());
    }
    
    public int[] nextIntArray() throws Exception {
        return Stream.of(br.readLine().split(" ")).mapToInt(Integer::parseInt).toArray();
    }
    
    public String next() throws Exception {
        while (!st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }
    
}