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;

/**
 *
 * @author Akhilesh
 */
public class RestoringNumbers1154A {
    public static void main(String[] args) {
        Scanner scan = new Scanner(System.in);
        
        int arr[] = new int[4];
        
        for(int i = 0; i < 4; i++){
            arr[i] = scan.nextInt();
        }
        
        for(int i = 0; i < 4; i++){
            int min = arr[i];
            int index = i;
            for(int j = i+1; j < 4; j++){
                if(min > arr[j]){
                    min = arr[j];
                    index = j;
                }
            }
            arr[index] = arr[i];
            arr[i] = min;
        }
        
        int a = arr[3] - arr[2];
        int b = arr[3] - arr[1];
        int c = arr[3] - arr[0];
        
        System.out.println(a + " " + b + " " + c);
    }
}