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.*;
import java.lang.*;
import java.text.*;
import java.math.*;
public class A
{
    public static void main(String args[]) throws IOException{
        BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
        BufferedWriter bw=new BufferedWriter(new OutputStreamWriter(System.out));
        int arr[]=new int[4];
        String str[]=br.readLine().split(" ");
        for(int i=0;i<4;i++)
        {
            arr[i]=Integer.parseInt(str[i]);
        }
        int index=0;
        for(int i=0;i<4;i++)
        {
            if(arr[i]>arr[index])
            {
                index=i;
            }
        }
        for(int i=3;i>=0;i--)
        {
            if(i!=index)
            {
                bw.write((arr[index]-arr[i])+" ");
            }
        }
        bw.write("\n");
        bw.flush();
    }
}