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:
def gcd(a,b):
    if a%b==0:
        return b
    else:
        return gcd(b,a%b)
def func(x):
    result=[1,x]
    n=int(x**(1/2))+1
    for i in range(2,n):
        if x%i==0 and gcd(i,x//i)==1:
            if max(result)>max([i,x//i]):
                result=[i,x//i]
    return (str(result[0])+" "+str(result[1]))
x=int(input())
print(func(x))