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 max(int a, int b, int c, int d) {
  int m;
  m = a;
  if (m < b) m = b;
  if (m < c) m = c;
  if (m < d) m = d;
  return m;
}
int main() {
  int x1, x2, x3, x4;
  cin >> x1;
  cin >> x2;
  cin >> x3;
  cin >> x4;
  int s;
  s = max(x1, x2, x3, x4);
  if (s == x1) {
    cout << x2 + x3 - s << " ";
    cout << x2 + x4 - s << " ";
    cout << x3 + x4 - s << " ";
  }
  if (s == x2) {
    cout << x1 + x3 - s << " ";
    cout << x1 + x4 - s << " ";
    cout << x3 + x4 - s << " ";
  }
  if (s == x3) {
    cout << x2 + x1 - s << " ";
    cout << x2 + x4 - s << " ";
    cout << x1 + x4 - s << " ";
  }
  if (s == x4) {
    cout << x2 + x3 - s << " ";
    cout << x2 + x1 - s << " ";
    cout << x3 + x1 - s << " ";
  }
  return 0;
}