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>
import java.awt.*;
import java.awt.event.*;
import java.io.*;
import java.math.*;
import java.text.*;
import java.util.*;

public class B {
	static BufferedReader br;
	static StringTokenizer st;
	static PrintWriter pw;

	public static void main(String[] args) throws IOException {
		br = new BufferedReader(new InputStreamReader(System.in));
		pw = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));
		//int qq = 1;
		int qq = Integer.MAX_VALUE;
		//int qq = readInt();
		for(int casenum = 1; casenum <= qq; casenum++) {
			long need = readLong();
			long ret = Long.MAX_VALUE;
			for(long r = 1; r <= need; r++) {
				long c = need / r;
				while(r * c < need) c++;
				ret = Math.min(ret, 2*(r+c));
			}
			pw.println(ret);
		}
		pw.close();
	}

	public static void exitImmediately() {
		pw.close();
		System.exit(0);
	}

	public static int readInt() throws IOException {
		return Integer.parseInt(nextToken());
	}

	public static double readDouble() throws IOException {
		return Double.parseDouble(nextToken());
	}

	public static long readLong() throws IOException {
		return Long.parseLong(nextToken());
	}

	public static String nextLine() throws IOException {
		st = null;
		if(!br.ready()) {
			exitImmediately();
		}
		return br.readLine();
	}

	public static String nextToken() throws IOException {
		while(st == null || !st.hasMoreTokens()) {
			if(!br.ready()) {
				exitImmediately();
			}
			st = new StringTokenizer(br.readLine());
		}
		return st.nextToken();
	}
}
