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.ArrayList;
import java.util.List;
import java.util.Scanner;

public class _1154Restore {
    public static void main(String[] args) {
        Scanner console = new Scanner(System.in);

        int[] nums = new int[4];
        List<Integer> result = new ArrayList<Integer>(3);

        // prepare
        int max = 0;
        int maxIndex = 0;
        for (int i = 0; i < nums.length; i++) {
            nums[i] = console.nextInt();

            if(max < nums[i]){
                max = nums[i];
                maxIndex = i;
            }
        }

        // calc
        for (int i = 0; i < nums.length; i++) {
            if(maxIndex != i){
                result.add(Math.abs(max-nums[i]));
            }
        }

        for (int i = 0; i < result.size(); i++) {
            System.out.print(result.get(i));
            // Не нравится пробелы вставлять каждый раз
            if(i != result.size()-1){
                System.out.print(" ");
            }
        }
    }
}