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 div_list(num):
    div = []
    for i in range(1, 1 + int(num ** 0.5)):
        if num % i == 0:
            div.append(i)
            div.append(num // i)

    return sorted(div)


X = int(input())
d = div_list(X)
l = len(d)

for i, j in zip(range(l // 2 - 1, -1, -1), range(l // 2, l)):
    if gcd(d[i], d[j]) == 1:
        print(d[i], d[j])
        break