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:
from math import gcd
def prime(n):
    a=[]
    for i in range(1,int(n**(1/2))+1):
        #print("I")
        if i==1:
            #print(n,i)
            if n%i==0:
                #print("o")
                if (i*int((n/i)))/gcd(i,int(n/i)) ==n:
                    a.append([1,n/i])
        else:
            if (i*int((n/i)))/gcd(i,int(n/i)) ==n:
                a.append([i,n/i])
    return a
n=int(input())
a=prime(n)
#print(a)
if len(a)==1:
    print(a[0][0],int(a[0][1]))
else:
    print(a[len(a)-1][0],int(a[len(a)-1][1]))