Problem: Polycarp has guessed three positive integers a, b and c. He keeps these numbers in secret, but he writes down four numbers on a board in arbitrary order — their pairwise sums (three numbers) and sum of all three numbers (one number). So, there are four numbers on a board in random order: a+b, a+c, b+c and a+b+c.

You have to guess three numbers a, b and c using given numbers. Print three guessed integers in any order.

Pay attention that some given numbers a, b and c can be equal (it is also possible that a=b=c).

Input

The only line of the input contains four positive integers x_1, x_2, x_3, x_4 (2 ≤ x_i ≤ 10^9) — numbers written on a board in random order. It is guaranteed that the answer exists for the given number x_1, x_2, x_3, x_4.

Output

Print such positive integers a, b and c that four numbers written on a board are values a+b, a+c, b+c and a+b+c written in some order. Print a, b and c in any order. If there are several answers, you can print any. It is guaranteed that the answer exists.

Examples

Input


3 6 5 4


Output


2 1 3


Input


40 40 40 60


Output


20 20 20


Input


201 101 101 200


Output


1 100 100

Solution (in JAVA):

Solution:
import java.util.*;
public class A1154 
{

	public static void main(String[] args)
	{
		Scanner sc = new Scanner (System.in);
		int x =sc.nextInt();
		int y=sc.nextInt();
		int z=sc.nextInt();
		int i=sc.nextInt();
		int l= Math.max(Math.max(x, y), Math.max(z, i));
		x=l-x;y=l-y;z=l-z;i=l-i;
		if(0==x)
			System.out.println(y+" "+z+" "+i);
		else if(0==y)
			System.out.println(x+" "+z+" "+i);
		else if(0==z)
			System.out.println(x+" "+y+" "+i);
		else if(0==i)
			System.out.println(x+" "+y+" "+z);
	}

}