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 hcf(a,b):
    if a%b==0:
        return b
    else:
        return hcf(b,a%b)

def printDivisors(n) : 
      
    i = 1
    a=[]
    while i <= math.sqrt(n): 
          
        if (n % i == 0) :
                if hcf(i,n//i)==1:
                    a.append([i,n//i])
        
        i = i + 1
        
    return a

a=int(input())
b=printDivisors(a)
c=[]
for i in range(len(b)):
    c.append(max(b[i]))
print(*b[c.index(min(c))])