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.lang.*;
import java.util.*;

public class FindNumbers
{
	public static void main(String[] args) 
	{
		Scanner sc = new Scanner (System.in);
		long arr[] = new long [4];
		for (int i = 0; i<arr.length; i++) 
		{
			arr[i] = sc.nextLong();
		}

		Arrays.sort(arr);

		long a = arr[3] - arr[2];
		long b = arr[0] - a;
		long c = arr[1] - a;

		System.out.print(a + " " + b + " " + c + " ");
	}
	
}