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 gcd(a,b):
    if b==0:
        return a
    return gcd(b,a%b)

def lcm(a,b):
    return a*b//(gcd(a,b))


n=int(input())

ans=n

n2=int(math.sqrt(n))

if n2*n2!=n:
    n2+=1


for i in range(2,n2):
    if n%i==0 and lcm(i,n//i)==n:
        ans=min(ans,max(i,n//i))
x,y=ans,n//ans
if x>y:
    x,y=y,x
print(x,y)