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.*;

public class MagicNumbers{
	public static void main(String[] args) {
		Scanner sc=new Scanner(System.in);
	/*	a+b=x1
		a+c=x2
		b+c=x3
		a+b+c=x4*/

		ArrayList<Integer> writtenNumbers=new ArrayList<Integer>();
		for(int i=0;i<4;i++){
			int temp=sc.nextInt();
			writtenNumbers.add(temp);
		}

		int max=0;

		for(int i=0;i<writtenNumbers.size();i++){
			if(max<writtenNumbers.get(i)){
				max=writtenNumbers.get(i);
			}
		}

		for(int i=0;i<writtenNumbers.size();i++){
			for(int j=0;j<writtenNumbers.size();j++){
				if(writtenNumbers.get(i)<writtenNumbers.get(j)){
					int temp=writtenNumbers.get(i);
					writtenNumbers.set(i,writtenNumbers.get(j));
					writtenNumbers.set(j,temp);
				}
			}
		}

		ArrayList<Integer> numbers=new ArrayList<Integer>();
		for(int i=0;i<3;i++){
			int a=writtenNumbers.get(i);
			int result=max-a;
			numbers.add(result);
		}

		for(Integer i : numbers){
			System.out.print(i+" ");
		}
	}
}