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, setrecursionlimit
setrecursionlimit(pow(10, 9))

# stdin = open("testdata.txt", "r")

import math

def input():
	return stdin.readline().strip()


def are_coprimes(a, b):
	if not ((a | b) & 1): 
		return False
	return math.gcd(a, b) == 1

def get_pairs(x):
	min_num = x

	for i in range(int(math.sqrt(x)), 0, -1):
		if x%i == 0:
			if are_coprimes(i, x//i):
				return i, x//i
	return 1, x

x = int(input())
ans = get_pairs(x)
print(*ans)