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.*;
import java.io.*;
import java.math.BigInteger;
public class Main {
	static int mod = 1000000007;
	public static void main(String args[]) {
		Scan sc = new Scan();
		long a = sc.nextLong();long b = sc.nextLong();long c = sc.nextLong();long d = sc.nextLong();long[] ar = {a,b,c,d};Arrays.sort(ar);for(int i = 0; i < ar.length-1; i++)so.print(ar[ar.length-1]-ar[i]+" ");so.close();
	}
// -- >	
	static PrintWriter so = new PrintWriter(System.out);
	static class Scan {
		BufferedReader reader = new BufferedReader(new InputStreamReader(System.in));
		StringTokenizer st = null;
		String next() {
			while(st == null || !st.hasMoreTokens()) {
				try {
					st = new StringTokenizer(reader.readLine());
				} catch (Exception e) {
					e.printStackTrace();
					System.exit(1);
				}
			}
			return st.nextToken();
		}
		int nextInt() {return Integer.parseInt(next());}
		long nextLong() {return Long.parseLong(next());}
	}
}