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.io.BufferedReader;
import java.io.InputStreamReader;
import java.util.Arrays;
import java.util.Scanner;

public class Main {
	public static void main(String[] args) {
		Scanner in = new Scanner(new BufferedReader(new InputStreamReader(System.in)));
		int n = in.nextInt();
		int x = in.nextInt();
		int[] a = new int[n];
		for (int i = 0; i < n; i++)
			a[i] = in.nextInt();
		System.out.println(solve(n, x, a));
		in.close();
	}

	private static int solve(int n, int x, int[] a) {
		Arrays.sort(a);
		for (int i = 0; i < n; i++)
			if (x < a[i])
				return i;
			else
				x -= a[i];
		if (x > 0)
			return n - 1;
		else
			return n;
	}
}