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 lcm(a, b):
    return a*b//math.gcd(a, b)
def brute(x):
    z = []
    for i in range(1, x+1):
        for j in range(1, x+1):
            if lcm(i, j) == x:
                z.append([max(i, j), min(i, j)])
    z.sort()
    return z[0]
def factors(n): 
    i = 1
    z = []
    while i <= int(n**0.5)+1: 
        if (n % i == 0) :
            if (n // i == i) : 
                z.append([i, i])
            else : 
                z.append([max(i, n//i), min(n//i, i)])
        i = i + 1
    y = []
    for i in z:
        if lcm(i[0], i[1]) == n:
            y.append(i)
    y.sort()
    return y[0]
x = int(input())
print(*factors(x))