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 gcd(x, y):
    if y > x:
        x, y = y, x
    if y == 0:
        return x
    return gcd(y, x % y)
def lcm(x,y):
    return int(x*y / gcd(x,y))
n = int(input())
SquareNum = n ** 0.5
SquareNum = math.floor(SquareNum)
if n == 1:
    print(1,1)
else:
    for i in range(SquareNum,0,-1):
        if n % i == 0 and i ** 2 != n and lcm(i , n// i) == n:
            print(i , n // i)
            break