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
x = int(input())
pairs = []
for i in range(1, int(x ** 0.5) + 1):
    if x % i == 0 and gcd(i, x // i) == 1:
        pairs.append([i, x // i])
ind = -1
m = 100000000000000
for i in range(len(pairs)):
    if m > max(pairs[i][0], pairs[i][1]):
        m = max(pairs[i][0], pairs[i][1])
        ind = i
print(*pairs[i])