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>
int main() {
  unsigned int p, q, r, s;
  scanf("%u %u %u %u", &p, &q, &r, &s);
  if (p > q && p > r && p > s) printf("%u %u %u\n", p - q, p - r, p - s);
  if (q > p && q > r && q > s) printf("%u %u %u\n", q - p, q - r, q - s);
  if (r > p && r > q && r > s) printf("%u %u %u\n", r - p, r - q, r - s);
  if (s > p && s > q && s > r) printf("%u %u %u", s - p, s - q, s - r);
  return 0;
}