Problem: 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

Solution (in JAVA):

Solution:
import java.util.*;
import java.io.*;

public class Main
{
       public static void main(String[] args) {
        Scanner in = new Scanner(System.in);
        long N = in.nextLong();
        long d = (long) Math.sqrt(N);
        while (N%d != 0 || gcd(d,N/d) != 1) d--;
        System.out.println(d + " " + (N/d));
    }
 
    private static long gcd(long a, long b) {
        return (b == 0) ? a : gcd(b, a%b);
    }
}