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.Arrays;
import java.util.Scanner;

/*
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/**
 *
 * @author Sanjeev
 */
public class RestoringThreeNumbersrishika {
    public static void main(String[] args) {
        Scanner sc=new Scanner(System.in);
                int[] a=new int[4];
                int i;
                for(i=0;i<4;i++)
                {
                    a[i]=sc.nextInt();
                }
                Arrays.sort(a);
                if(a[1]==a[2]&&a[2]==a[0])
                {
                    System.out.println(a[3]/3);
                    System.out.println(a[3]/3);
                    System.out.println(a[3]/3);
                }
                else
                {
                    System.out.println(a[3]-a[0]);
                    System.out.println(a[3]-a[1]);
                    System.out.println(a[3]-a[2]);
                }
    }
    
}