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
from functools import reduce
x = int(input())

def compute_gcd(x, y):
   while(y):
       x, y = y, x % y
   return x
# This function computes LCM
def compute_lcm(x, y):
   lcm = (x*y)//compute_gcd(x,y)
   return lcm
def factors(n):    
    return set(reduce(list.__add__, 
                ([i, n//i] for i in range(1, int(n**0.5) + 1) if n % i == 0)))

res=None
fList=list(factors(x))
fList.sort()

n=len(fList)
res=None

if n>30:
   some=12
else:
   some=2
if n==1:
   print("1 1")
else:
   for i in range(n//2-some,n):
       if res==None:
           if i==n:
               res=[1,n]
           else:

               for j in range(n//2-some+1,n):
                   if compute_lcm(fList[i],fList[j])==x:
                       res=[fList[i],fList[j]]
                       break
       else:
           if i<n:
               if fList[i]>=res[1]:
                   break
               else:
                   for j in range(n//2-some,n):
                       if compute_lcm(fList[i],fList[j])==x:
                           if max(fList[i],fList[j])<max(res):
                              res=[fList[i],fList[j]]
                           break

                  
               
       
   l, r = res
   print(str(l)+" "+str(r))