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;
public class A1154 {
    public  static void main (String args[]){
        Scanner input = new Scanner(System.in); // Объявляем Scanner
        int size = 4;
        int max = 0;
        int j = 0;
        int array[] = new int[size]; // Создаём массив int размером в size
        int array2[] = new int[3];
        int k=0;

        for (int i = 0; i < size; i++) {
            array[i] = input.nextInt(); // Заполняем массив элементами, введёнными с клавиатуры
            if (array[i] >= max){
                max = array[i];
                j = i;
            }
        }


        for (int i = 0; i < size; i++) {
            if (i != j) {
                    if (i != j)
                    array2[k] = array[j] - array[i];
                    System.out.print(array2[k] + " ");
                    k++;
            }
        }



        }

    }