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*
import math
def fadi_lcm():
	x = int(input())
	y = int(math.sqrt(x))
	if((y*y == x) and (y>1)):
		y = y-1
	i = 0
	while(i<y):
		if(((x%(y-i)) == 0) and (math.gcd((y-i),(int(x/(y-i)))) == 1)):
			print((y-i),int(x/(y-i)))
			break
		else:
			i = i+1
fadi_lcm()