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
#!/usr/bin/env python3
# -*- coding: utf-8 -*-
"""
Created on Fri Jan 10 15:29:56 2020

@author: dennis
"""

import math

def lcm(a, b):
    return abs(a*b) // math.gcd(a, b)

def isPrime(n): 
    if (n <= 1) : 
        return False
    if (n <= 3) : 
        return True
    if (n % 2 == 0 or n % 3 == 0) : 
        return False
    i = 5
    while(i * i <= n) : 
        if (n % i == 0 or n % (i + 2) == 0) : 
            return False
        i = i + 6
    return True

def main(x):
    a = int(math.sqrt(x))
    while True:
        if x%a == 0:
            b = x//a
            if lcm(a, b) == x:
                break
        a -= 1
    return (a, b)

x = int(input())
if isPrime(x):
    print(1, x)
else:
    solution = main(x)
    print(min(solution), max(solution))
