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.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.Arrays;

public class Main {

    public static void main(String[] args) throws IOException {
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        String[] k = br.readLine().split(" ");
        int a = Integer.parseInt(k[0]);
        int b = Integer.parseInt(k[1]);
        int c = Integer.parseInt(k[2]);
        int d = Integer.parseInt(k[3]);
        int i,j,l,m;
        int u,v,w;
        if((a+b+c)/2==d){
            System.out.println((d-a)+" "+(d-b)+" "+(d-c));
        }
        else if((a+b+d)/2==c)
            System.out.println((c-a)+" "+(c-b)+" "+(c-d));
        else if((a+c+d)/2==b)
            System.out.println((b-a)+" "+(b-d)+" "+(b-c));
        else if((c+d+b)/2==a)
            System.out.println((a-b)+" "+(a-c)+" "+(a-d));
    }
}