Find the largest square number not exceeding N. Here, a square number is an integer that can be represented as the square of an integer.

Constraints

* 1 \leq N \leq 10^9
* N is an integer.

Input

Input is given from Standard Input in the following format:


N


Output

Print the largest square number not exceeding N.

Examples

Input

10


Output

9


Input

81


Output

81


Input

271828182


Output

271821169
import java.util.*;
import java.math.*;
public class Main{

    public static void main(String[] args) {
        Scanner input=new Scanner(System.in);
        int z;
        z=input.nextInt();
        for(int i=z;i>=1;i--)
            if(i%Math.sqrt(i)==0)
            {
                System.out.println(i);
                break;
            }
        
    }
    
}
