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
x=int(input())
n=int(x**0.5)+1
t=[float('inf'),float('inf')]
#print(n)
for i in range(1,n+1):
    if x%i==0:
        if t[0]>max(i,x//i) and i!=x//i and math.gcd(i,x//i)==1:
            t[0]=max(i,x//i)
            t[1]=min(i,x//i)
if x==1:
    t[0]=t[1]=1
print(t[1],t[0])