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

class Main
{
    public static void main(String args[])throws Exception
    {
        BufferedReader bu=new BufferedReader(new InputStreamReader(System.in));
        StringBuilder sb=new StringBuilder();
        String s[]=bu.readLine().split(" ");
        int n=Integer.parseInt(s[0]),w=Integer.parseInt(s[1]);
        int i,j,k,ans=0,m=1<<n,a[]=new int[n];
        s=bu.readLine().split(" ");
        for(i=0;i<n;i++) a[i]=Integer.parseInt(s[i]);

        for(i=1;i<m;i++)
        for(j=0;j<m;j++)
        {
            long wt=0;
            for(k=0;k<n;k++)
            {
                int b1=(i>>k)&1,b2=(j>>k)&1;
                if(b1==0 && b2==1) {wt=-1; break;}
                if(b1==1)
                {
                    if(b2==0) wt+=a[k];
                    else wt+=a[k]/2;
                }
            }
            if(wt==w) {ans++; break;}
        }
        System.out.println(ans);
    }
}