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.math.BigInteger;
import java.util.*;
public class rc{
  public static void main(String[] args) {
    Scanner sc = new Scanner(System.in) ;
    long n = sc.nextLong();
    long i,a=0;
    for(i=(int)Math.sqrt(n); i>0; --i){
        if(n%i==0){
           a = n/i;
           if(BigInteger.valueOf(i).gcd(BigInteger.valueOf(a)).equals(new BigInteger("1")))
               break;
        }      
    }
    System.out.println(i+" "+a);
  }
}