#include <bits/stdc++.h>
using namespace std;
int n, x = 0, y = 0;
int main() {
  ios_base::sync_with_stdio(false);
  cin >> n;
  x = y = 1;
  while (true) {
    if (x * y >= n) break;
    x++;
    if (x * y >= n) break;
    y++;
    if (x * y >= n) break;
  }
  cout << 2 * (x + y);
  return 0;
}

### Prompt

In CPP, your task is to solve the following problem:

Your security guard friend recently got a new job at a new security company. The company requires him to patrol an area of the city encompassing exactly N city blocks, but they let him choose which blocks. That is, your friend must walk the perimeter of a region whose area is exactly N blocks. Your friend is quite lazy and would like your help to find the shortest possible route that meets the requirements. The city is laid out in a square grid pattern, and is large enough that for the sake of the problem it can be considered infinite.

Input

Input will consist of a single integer N (1 ≤ N ≤ 106), the number of city blocks that must be enclosed by the route.

Output

Print the minimum perimeter that can be achieved.

Examples

Input

4


Output

8


Input

11


Output

14


Input

22


Output

20

Note

Here are some possible shapes for the examples:

<image>

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;
int n, x = 0, y = 0;
int main() {
  ios_base::sync_with_stdio(false);
  cin >> n;
  x = y = 1;
  while (true) {
    if (x * y >= n) break;
    x++;
    if (x * y >= n) break;
    y++;
    if (x * y >= n) break;
  }
  cout << 2 * (x + y);
  return 0;
}

```