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:
n=int(input())
import math
r=int(n**0.5)+1
a=[]
def lcm(a, b):
    return abs(a*b) // math.gcd(a, b)
for _ in range(1,r):
    if (n/_==int(n/_)) and lcm(_,n//_)==n:
        b=[_,n/_]
        b.sort()
        a.append(b)
def sort1(val):
    return val[1]
a.sort(key=sort1)
print(int(a[0][0]),int(a[0][1]))