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 Java {
	public static void main(String[] args) {
		Scanner input = new Scanner(System.in);
		ArrayList<Integer> in = new ArrayList<Integer>();
		
		for(int i = 0; i < 4; i++)
			in.add(input.nextInt());
		
		Collections.sort(in);
		
		int a, b, c;
		
		b = ((in.get(0)-in.get(1))+ in.get(2))/2;
		a = in.get(0)-b;
		c = in.get(1) - a;
		
		System.out.println(a + " " + b + " " + c);
		
	}
}