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 (Clang 3.8.0) (judge verdict: Wrong Answer)

#include<stdio.h>
#include<limits.h>
#include<math.h>

int main(){
	
	long long int N,i,j,ans=LLONG_MAX;
	scanf("%lld",&N);
	
	for(i=1;i<=sqrt(N);i++){
		if(N%i==0){
			j=N/i;
		}
		if(i!=1&&ans>i+j-2){
			ans=i+j-2;
		}else if(i==1&&ans>i+j-1){
			ans=i+j-1;
		}
	}
	
	
	printf("%lld",ans);
	return 0;
	
}