CodeforcesJul 02, 2025

Little C Loves 3 I

Hazrat Ali

Codeforces

Now he has a positive integer n. He wants to split nn into 33 positive integers a,b,c, such that a+b+c=n and none of the 3 integers is a multiple of 3. Help him to find a solution.

Input

A single line containing one integer nn (3n10) — the integer Little C has.

Output

Print 3 positive integers a,b,c in a single line, such that a+b+c=n and none of them is a multiple of 3.

It can be proved that there is at least one solution. If there are multiple solutions, print any of them.

Examples
Input
3
Output
1 1 1
Input
233
Output
77 77 79


Solution

#include <bits/stdc++.h>
using namespace std;

int main() {
  int n;
  cin >> n;
  if (n % 3 == 2) {
    cout << 1 << " " << 2 << " " << n - 3 << endl;
  } else {
    cout << 1 << " " << 1 << " " << n - 2 << endl;
  }
  return 0;
}



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