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 PYTHON3):

Solution:
from math import *
def LCM(a,b):
    g = gcd(a,b)
    return (a * b)//g
    

def FadiLcm(num):
    maxs = num ** 0.5    
    for i in range(int(maxs),0,-1):
        if num % i == 0:
            div = i
            div2 = num//div
            if num // div == div:
                continue
            if LCM(div,div2) != num:
                continue
            break
    one = div
    two = num // div
    return str(one) + " " + str(two)


def main():    
    n = eval(input())
    print(FadiLcm(n))
            
main()