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.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.List;
import java.util.Scanner;
import java.util.LinkedList;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author vinhvo
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        Scanner in = new Scanner(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        ARestoringThreeNumbers solver = new ARestoringThreeNumbers();
        solver.solve(1, in, out);
        out.close();
    }

    static class ARestoringThreeNumbers {
        public void solve(int testNumber, Scanner in, PrintWriter out) {

            List<Integer> ll = new LinkedList<>();

            int a1 = in.nextInt();
            int a2 = in.nextInt();
            int sum = Math.max(a1, a2);

            ll.add(a1);
            ll.add(a2);


            int a3 = in.nextInt();
            sum = Math.max(a3, sum);
            int a4 = in.nextInt();
            sum = Math.max(sum, a4);

            ll.add(a3);
            ll.add(a4);
            ll.remove((Integer) sum);

            int ans_a = sum - ll.get(0);
            int ans_b = sum - ll.get(1);
            int ans_c = sum - ll.get(2);

            out.println(ans_a + " " + ans_b + " " + ans_c);
        }

    }
}