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.Scanner;

public class Cf1154A {

    public static void main(String[] args) {
        Scanner sc=new Scanner(System.in);
        int x=sc.nextInt();
        int y=sc.nextInt();
        int z=sc.nextInt();
        int w=sc.nextInt();
        int max=0;
        if(x>y && x>z && x>w)
            max=x;
        else if(y>x && y>z && y>w)
            max=y;
        else if(z>x && z>y && z>w)
            max=z;
        else
            max=w;
        
        int a=max-x;
        int b=max-y;
        int c=max-z;
        int d=max-w;
        if(a==0)
        {
            System.out.print(b);
            System.out.print(" "+c);
            System.out.print(" "+d);
        }
        else if(b==0)
        {
            System.out.print(a);
            System.out.print(" "+c);
            System.out.print(" "+d);
        }
        else if(c==0)
        {
            System.out.print(a);
            System.out.print(" "+b);
            System.out.print(" "+d);
        }
        else
        {
            System.out.print(a);
            System.out.print(" "+b);
            System.out.print(" "+c);
        }
    }
    
}