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:
import math

x = int(input())
d = math.floor(x**(1/2))

def gcd(a,b):
	if b == 0:
		return a
	return gcd(b,a%b)

ans = float("inf")
for a in range(1,d+1):
	div, mod = divmod(x,a)
	if mod == 0:
		if gcd(a,div) == 1:
			ans = min(ans, max(a,div))

A = sorted([ans, x//ans])
print(A[0], end = " ")
print(A[1])