Lazy Security Guard

2000ms

262144K

Description:

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.

Sample Input:

Sample Output:

Sample Input:

Sample Output:

Sample Input:

Sample Output:

Note:

Here are some possible shapes for the examples:

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Informação

Provedor Codeforces

Código CF859B