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) : 
    i = 1
    factors = []
    while i <= math.sqrt(n): 
        if (n % i == 0) : 
            if (n // i == i) : 
                factors.append(i)
            else : 
                factors.append(n//i)
                factors.append(i)
        i = i + 1
    return factors

def gcd(a, b):  
    if a == 0 : 
        return b  
      
    return gcd(b%a, a) 
        
n = int(input())
if n == 1:
    print(1,1)
else:
    factors = printDivisors(n)
    i = len(factors)-1
    while i >= 0:
        if n//factors[i] == factors[i]:
            i -= 1
        else:
            if gcd(factors[i],factors[i-1]) == 1:
                break
            else:
                i -= 2

    print(factors[i],n//factors[i])