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 sys import stdin, stdout
import math

def gcd(a, b):
	while b:
		a, b = b, a % b
	return a
	
def lcm(a, b):
	return a * b // gcd(a, b)
	
	
x = int(stdin.readline())
lst = []
a = x; b = 1

for i in range(int(math.sqrt(x)), 0, -1):
	if x % i == 0 and lcm(x//i, x//(x//i)) == x:
		if max(x//i, x//(x//i)) < max(a, b):
			a = x//i; b = x//(x//i)

stdout.write(str(b) + ' ' + str(a))