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  

 
def printDivisors(n,l) : 
    i = 1
    while i <= math.sqrt(n): 
          
        if (n % i == 0) : 
            if (n / i == i) : 
                l.append(i) 
            else : 
                l.append(i)
                l.append(n//i)  
        i = i + 1
    return l
x = int(input())
lis = []
arr = printDivisors(x,lis)
maxi = 10000000000000000000000000000000000000000001

for i in arr:
	val = x//i
	if(math.gcd(i,val) == 1):
		if(max(i,val) < maxi):
			a = i
			b = val
			maxi = max(i,val)
print(int(a),int(b))