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 SSS
{
	public static void main(String[] args)
	{
		Scanner sc = new Scanner(System.in);
		int a1 = sc.nextInt();
		int a2 = sc.nextInt();
		int a3 = sc.nextInt();
		int a4 = sc.nextInt();
		int max = Math.max(a1,a2);
		max = Math.max(a3,max);
		max = Math.max(a4,max);
		int max2=0,s;
		if (max == a1){max2 = Math.max(a3,a2);max2 = Math.max(a4,max2);}
		else if (max ==a2){max2 = Math.max(a3,a1);max2 = Math.max(a4,max2);}
		else if (max == a3){max2 = Math.max(a1,a2);max2 = Math.max(a4,max2);}
		else if (max == a4){max2 = Math.max(a3,a2);max2 = Math.max(a1,max2);}
		s = max-max2;
		int min = Math.min(a1,a2);
		min = Math.min(a3,min);
		min = Math.min(a4,min);
		int min2=0;
		if (min == a1){min2 = Math.min(a3,a2);min2 = Math.min(a4,min2);}
		else if (min == a2){min2 = Math.min(a3,a1);min2 = Math.min(a4,min2);}
		else if (min == a3){min2 = Math.min(a1,a2);min2 = Math.min(a4,min2);}
		else if (min == a4){min2 = Math.min(a3,a2);min2 = Math.min(a1,min2);}
		System.out.print(s+" " +(min2-s)+" " +(min-s));
	}
}