Today, Osama gave Fadi an integer X, and Fadi was wondering about the minimum possible value of max(a, b) such that LCM(a, b) equals X. Both a and b should be positive integers.

LCM(a, b) is the smallest positive integer that is divisible by both a and b. For example, LCM(6, 8) = 24, LCM(4, 12) = 12, LCM(2, 3) = 6.

Of course, Fadi immediately knew the answer. Can you be just like Fadi and find any such pair?

Input

The first and only line contains an integer X (1 ≤ X ≤ 10^{12}).

Output

Print two positive integers, a and b, such that the value of max(a, b) is minimum possible and LCM(a, b) equals X. If there are several possible such pairs, you can print any.

Examples

Input


2


Output


1 2


Input


6


Output


2 3


Input


4


Output


1 4


Input


1


Output


1 1
import java.io.*;
import java.util.*;
import java.lang.*;
public class test
{
    static long gcd(long a,long b)
    {
        if(b==0) return a;
        else return gcd(b,a%b);
    }
    public static void main(String args[])
    {
        Scanner sc = new Scanner(System.in);
        long x=sc.nextLong();
        long i=(long)Math.sqrt(x);
        if(i*i==x&&i!=1)
        {
            i=i-1;
        }
        for(;i>=1;i--)
        {
            if(x%i==0)
            {
                if(gcd(i,x/i)==1)
                {
                    System.out.println(i+" "+ (x/i));
                    break;
                }
            }
        }
    }
}