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Statement

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 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 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.

Format

Input

Input will consist of a single integer N N ( 1<=N<=106 1<=N<=10^{6} ), the number of city blocks that must be enclosed by the route.

Output

Print the minimum perimeter that can be achieved.

Sample

4
8
11
14
22
20

ShanghaiTech ACM 炸鱼杯

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OI
题目
46
开始于
2024-12-10 23:00
结束于
2024-12-15 13:00
持续时间
110 小时
主持人
参赛人数
112