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 decimal import *
import random

def facts(n):
    ans = [1, n]
    for i in range(2, int(math.sqrt(n))+2):
        if(n%i==0):
            ans.append(i)
            ans.append(n//i)
    return sorted(ans)

x = int(input())
fs = facts(x)
n = len(fs)-1
a,b =1, x
for i in range(len(fs)//2):
    if(math.gcd(fs[n-i],fs[i])==1):
        a,b = fs[i],fs[n-i]
print(a,b)