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:
from sys import stdin, stdout
X = int(input())
import math 
  
# A function to print all prime factors of  
# a given number n 
def primeFactors(n): 
    ans = []
    # Print the number of two's that divide n 
    temp = 1
    while n % 2 == 0: 
        temp*=2
        n = n / 2
    if temp!=1: ans.append(int(temp))
    # n must be odd at this point 
    # so a skip of 2 ( i = i + 2) can be used 
    for i in range(3,int(math.sqrt(n))+1,2): 
          
        # while i divides n , print i ad divide n 
        temp = 1
        while n % i== 0: 
            temp *= i
            n = n / i 

        if temp!=1:
            ans.append(int(temp))
    # Condition if n is a prime 
    # number greater than 2 
    if n > 2: 
        ans.append(int(n))

    return ans

pfactors = primeFactors(X)
pfactors.sort()

from itertools import *
from operator import mul
from functools import reduce

diff = 10**12
mina, minb = None, None
for pattern in product([True,False],repeat=len(pfactors)):
    a = reduce(mul, [x[1] for x in zip(pattern,pfactors) if x[0]], 1)
    b = reduce(mul, [x[1] for x in zip(pattern,pfactors) if not x[0]], 1)

    if abs(a-b) < diff:
        diff = abs(a-b)
        mina, minb = a, b

print(mina, minb)