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 returnGCD(x, y):
	if y > x:
		return euclidean_algo(y, x)
	
	while y != 0:
		x, y = y, x % y
		
	return x
	
def factors(n):
	lst = []
	for i in range(1, int(n**0.5) + 1):
		if n % i == 0:
			lst.append([i, n//i])
	return lst


original = int(input())
facts=factors(original)
facts.sort()

currentlist = 0
current = 10000000000000000000000
for i in facts:
	a = max(i)
	if a < current and (i[0]*i[1])/returnGCD(i[1], i[0]) == original:
		currentlist = i
		current = a

print(currentlist[0], currentlist[1])