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:
x = int(input())
from math import gcd
# y = x
arr = []
s = set()
ans = [1, x]
y = x
lo_so_far = x
for i in range(2, int(x**0.5)+2):
    # print(i)
    if x%i==0:
        c = i
        z = x//i
        if x == (c*z)//gcd(c,z):
            lo = max(c,z)
            if lo<lo_so_far:
                lo_so_far = lo
                ans = (c,z)
print(ans[0], ans[1])