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.Scanner;

/**
 * QUESTION:
 *  - https://codeforces.com/problemset/problem/1154/A
 */

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

        int[] nums = new int[4];
        int abc = 0;
        for(int i = 0; i < 4; i++) {
            int x = sc.nextInt();
            nums[i] = x;
            if(nums[i] > abc)
                abc = nums[i];
        }
        sc.close();

        for(int i = 0; i < 4; i++) {
            if(nums[i] != abc)
                System.out.print(String.format("%d ", abc - nums[i]));
        }
        System.out.println();
    }
}