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
# N, M = map(int, input().split())
# A = list(map(int, input().split()))
N= int(input())
a = 0
b = 0
m = 10**12
def lcm(a, b):
	return a*b//(math.gcd(a,b))
for n in range(1, int(math.sqrt(N))+1):
	if N%n == 0 and lcm(n,N//n) == N and max(n, N//n) < m:
		a = n
		b = N//n
print(a,b)