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:

def phantichsonguyento(n):
    result = []
    for i in range(2,n):
        dem = 0
        while True:
            if n % i != 0:
                break
            else:
                dem += 1
                n //= i
        if dem:
            if dem > 1:
                for j in range(dem):
                    result.append(i)
            else:
                result.append(i)
    return result
from math import *
if __name__ == '__main__':
    n = int(input().strip())
    # print(phantichsonguyento(n))
    for i in range(int(sqrt(n)),0,-1):
        if n % i == 0 and gcd(n//i,i) == 1:
            print(i,n//i)
            break