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.*;
import java.io.*;
public class Main{
    public static void main(String args[])throws IOException
    {
        InputStreamReader ir=new InputStreamReader(System.in);
        BufferedReader br=new BufferedReader(ir);
        String s[]=br.readLine().split(" ");
        int a[]=new int[4];
        a[0] =Integer.parseInt(s[0]);
        a[1]=Integer.parseInt(s[1]);
        a[2]=Integer.parseInt(s[2]);
        a[3]=Integer.parseInt(s[3]);//a+b,b+c,c+a
        Arrays.sort(a);
        int e=a[0]+a[1]-a[3];
        int b=a[1]+a[2]-a[3];
        int c=a[0]+a[2]-a[3];
        System.out.println(e+" "+b+" "+c);
        
    }
}