There are N children, numbered 1, 2, ..., N.

Snuke has decided to distribute x sweets among them. He needs to give out all the x sweets, but some of the children may get zero sweets.

For each i (1 \leq i \leq N), Child i will be happy if he/she gets exactly a_i sweets. Snuke is trying to maximize the number of happy children by optimally distributing the sweets. Find the maximum possible number of happy children.

Constraints

* All values in input are integers.
* 2 \leq N \leq 100
* 1 \leq x \leq 10^9
* 1 \leq a_i \leq 10^9

Input

Input is given from Standard Input in the following format:


N x
a_1 a_2 ... a_N


Output

Print the maximum possible number of happy children.

Examples

Input

3 70
20 30 10


Output

2


Input

3 10
20 30 10


Output

1


Input

4 1111
1 10 100 1000


Output

4


Input

2 10
20 20


Output

0
import java.util.*;
public class Main{
	public static void main(String[] args){
    	Scanner sc = new Scanner(System.in);
      int n = sc.nextInt();
      int x = sc.nextInt();
      int[] a = new int[n];
      for(int i = 0;i < n;i++)a[i]=sc.nextInt();
      Arrays.sort(a);
      int cnt = 0;
      while(x>0&&cnt<=n-1){
      	x-=a[cnt];
        cnt++;
      }
      if(x>0)System.out.println(n-1);
      else if(x==0)System.out.println(cnt);
      else System.out.println(cnt-1);
    }
}
