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 #for sqrt and gcd.
def answer(n):
    if n == 1:
        return [1, 1]
    if n == 2:
        return [1, 2]
    if n == 3:
        return [1, 3]
    i = int(math.sqrt(n)) + 1
    while i > 0:
        if (n % i == 0):
            if math.gcd(i, n//i) == 1:
                return [i, n//i]
        i -= 1
    
    return #null


def main():
    X = int(input())
    print(' '.join(map(str, answer(X))))


    return
main()