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, b, c, d, m = 0, n = 0, o = 0;
  cin >> a >> b >> c >> d;
  if (a > b && a > c && a > d) {
    m = a - b;
    n = a - c;
    o = a - d;
  } else if (b > a && b > c && b > d) {
    m = b - a;
    n = b - c;
    o = b - d;
  } else if (c > a && c > b && c > d) {
    m = c - a;
    n = c - b;
    o = c - d;
  } else if (d > b && d > c && d > a) {
    m = d - b;
    n = d - c;
    o = d - a;
  }
  cout << m << " " << n << " " << o << endl;
  return 0;
}