Problem:
Score : 300 points

Problem Statement

Takahashi is standing on a multiplication table with infinitely many rows and columns.

The square (i,j) contains the integer i \times j. Initially, Takahashi is standing at (1,1).

In one move, he can move from (i,j) to either (i+1,j) or (i,j+1).

Given an integer N, find the minimum number of moves needed to reach a square that contains N.

Constraints

2 \leq N \leq 10^{12}

N is an integer.

Input

Input is given from Standard Input in the following format:

N

Output

Print the minimum number of moves needed to reach a square that contains the integer N.

Sample Input 1

10

Sample Output 1

5

(2,5) can be reached in five moves. We cannot reach a square that contains 10 in less than five moves.

Sample Input 2

50

Sample Output 2

13

(5, 10) can be reached in 13 moves.

Sample Input 3

10000000019

Sample Output 3

10000000018

Both input and output may be enormous.

Solution in C (GCC 5.4.1) (judge verdict: Time Limit Exceeded)

#include<stdio.h>
#include <stdlib.h>



int main() {
	int n;
	int hantei = 200000;
	int i, j;
	scanf("%d", &n);
	for (i = 1; i < 100000; i++) {
		for (j = 1; j < 100000; j++) {
			if (n == i*j) {
				if (hantei > (i - 1)*(j - 1)) {
					hantei = (i - 1) + (j - 1);
				}
			}
		}
	}
	
	printf("%d\n",hantei);

	return 0;
}