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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int main() {
  int a;
  cin >> a;
  int b;
  cin >> b;
  int c;
  cin >> c;
  int d;
  cin >> d;
  int megoldas_a;
  int megoldas_b;
  int megoldas_c;
  int largest = 0;
  if (a > largest) {
    largest = a;
  }
  if (b > largest) {
    largest = b;
  }
  if (c > largest) {
    largest = c;
  }
  if (d > largest) {
    largest = d;
  }
  if (a == largest) {
    megoldas_a = largest - b;
    megoldas_b = largest - c;
    megoldas_c = largest - d;
    cout << megoldas_a << "\n" << megoldas_b << "\n" << megoldas_c;
    return 0;
  }
  if (b == largest) {
    megoldas_a = largest - a;
    megoldas_b = largest - c;
    megoldas_c = largest - d;
    cout << megoldas_a << "\n" << megoldas_b << "\n" << megoldas_c;
    return 0;
  }
  if (c == largest) {
    megoldas_a = largest - b;
    megoldas_b = largest - a;
    megoldas_c = largest - d;
    cout << megoldas_a << "\n" << megoldas_b << "\n" << megoldas_c;
    return 0;
  }
  if (d == largest) {
    megoldas_a = largest - b;
    megoldas_b = largest - c;
    megoldas_c = largest - a;
    cout << megoldas_a << "\n" << megoldas_b << "\n" << megoldas_c;
    return 0;
  }
}