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:
def gcd(a,b):
    if a == 0:
        return b
    return gcd(b % a, a)

def lcm(a,b):
    return a*b // gcd(a,b)

def solve():
    n = int(input())
    if n == 1:
        print(1,1)
        return
    
    i = 2
    ans = [n,1]
    while i*i <= n:
        if n % i == 0 and lcm(i, n//i) == n:
            if max(i, n//i) < max(ans):
                ans = [i, n//i]
        i += 1
    print(ans[0], ans[1])
    
solve()