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.InputStreamReader;
import java.util.Arrays;
import java.util.Scanner;
import java.util.stream.Collectors;


public class _1154AThreeNumbers {
    public static void main(String args[]) {
       
        Scanner in = new Scanner(new BufferedReader(new InputStreamReader(System.in)));
        int arr[] = new int[4];
        arr[0] = in.nextInt();
        arr[1] = in.nextInt();
        arr[2] = in.nextInt();
        arr[3] = in.nextInt();
        
        int max = Arrays.stream(arr).reduce(0, Integer::max);
        String str = Arrays.stream(arr).filter(num -> num != max)
                                .mapToObj(num -> String.valueOf(max-num))
                                .collect(Collectors.joining(" "));
        System.out.println(str); 
    }

}