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 uscln(a, b):
    if (b == 0):
        return a
    return uscln(b, a % b)
def bscnn(a, b):
    return int((a * b) / uscln(a, b))

def LCM(n):
    for i in range(int(math.sqrt(n)), 0, -1):
        if n % i == 0:
            if uscln(i, n//i) == 1:
                return (i, n//i)
    return (1, n)
n = int(input())
print(*LCM(n))