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
from math import gcd
n = int(input())
t = math.ceil(n**0.5)
a = float('-inf')
b = float('inf')
def lcm(a,b):
	return (a*b)//gcd(a,b)
for i in range(t-1,0,-1):
	if n%i==0 and lcm(i,n//i)==n:
		b = min(b,n//i)
		a = max(a,i)
if n==1:
	print(1,1)
else:
	print(b,a)