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
#Return Divisors O(n**2)
def divisors(n):
    i = 1
    l = []
    while i <= int(n**0.5):
        if (n % i == 0):
            if (n // i == i):
                l.append(i)

            else:
                l.append(n // i)
                l.append(i)

        i = i + 1

    return l

for _ in range(1):
    n = int(input())
    ans = n
    l = divisors(n)
    for i in l:
        j = n//i
        a = i
        b = j
        if a*b//math.gcd(a,b) == n:
            ans = min(ans,max(i,j))

    print(ans,n//ans)