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 sys
input=sys.stdin.readline
import math
def gcd(a, b):  
    if a == 0 : 
        return b  
      
    return gcd(b%a, a) 
t=int(input())
m=1000000000000
tup=[]
for i in range(1,int(t**0.5)+1):
    if(t%i==0):
        j=t//i
        if(gcd(i,j)==1):
            if(m>max(i,j)):
                tup=[i,j]
                m=max(i,j)
print(tup[0],tup[1])