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.Scanner;

public class RestoringThreeNumbers {
    public static void main(String[] args) {
        Scanner in = new Scanner(new BufferedReader(new InputStreamReader(System.in)));



        int[] sums = new int[4];
        int[] smallSums = new int[3];
        sums[0] = in.nextInt();
        int largestSum = sums[0];

        sums[1] = in.nextInt();
        if (largestSum < sums[1])
            largestSum = sums[1];

        sums[2] = in.nextInt();
        if (largestSum < sums[2])
            largestSum = sums[2];

        sums[3] = in.nextInt();
        if (largestSum < sums[3])
            largestSum = sums[3];

        int smallSumsI = 0;
        for (int i = 0; i < 4; i++) {
            if (sums[i] != largestSum) {
                smallSums[smallSumsI] = sums[i];
                smallSumsI++;
            }
        }

        for (int i = 0; i < 3; i++)
        {
            System.out.print(largestSum - smallSums[i] + " ");
        }

        in.close();
    }
}