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.*;
import java.util.*;

public class A {
    public static void main(String[] args) throws Throwable {

        sc = new Scanner();
        pw = new PrintWriter(System.out);

        int[] x = new int[4];
        for (int i = 0; i < 4; i++)
            x[i] = sc.nextInt();
        Arrays.sort(x);
        pw.println((x[3] - x[2]) + " " + (x[3] - x[1]) + " " + (x[3] - x[0]));

        pw.close();
    }


    static Scanner sc;
    static PrintWriter pw;

    static class Scanner {
        StringTokenizer st;
        BufferedReader br;

        Scanner() {
            br = new BufferedReader(new InputStreamReader(System.in));
        }

        Scanner(String s) throws Throwable {
            br = new BufferedReader(new FileReader(new File(s)));
        }

        String next() throws Throwable {
            while (st == null || !st.hasMoreTokens())
                st = new StringTokenizer(br.readLine());
            return st.nextToken();
        }

        int nextInt() throws Throwable {
            return Integer.parseInt(next());
        }

        long nextLong() throws Throwable {
            return Long.parseLong(next());
        }

        double nextDouble() throws Throwable {
            return Double.parseDouble(next());
        }

    }

}