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 GCD(x,y):
	if x == 0:
		return y
	return GCD(y%x , x)
 
def LCM(x,y):
	return x*y/GCD(x,y)			
 
X = int(input())
i=1
while i**2 <= X:
	if X%i == 0:
		# if np.lcm(i,X/i) == X :
		if LCM(i,X/i) == X:
			result = i
	i+=1
print(result , int(X/result))