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.Comparator;
import java.util.Scanner;

/**
 * @Author: Harry
 * @Date: 2019-04-19 21:37
 * @Version 1.0
 */
public class Main {

    public static void main(String[] args) {
        Scanner input = new Scanner(System.in);

        Integer arr[] = new Integer[4];

        for(int i = 0;i < 4;i++){
            arr[i] = input.nextInt();
        }

        Arrays.sort(arr, new myComparator());

        int a,b,c;

        for(int i = 1;i < 4;i++){
            if(i != 1){
                System.out.print(" ");
            }
            System.out.print(arr[0] - arr[i]);
        }

        System.out.println();
    }

    public static class myComparator implements Comparator<Integer>{
        @Override
        public int compare(Integer o1, Integer o2) {
            return o2 - o1;
        }
    }


}