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)

x = int(input())
a = 1 
b = x
z = 2
while(x//z > z):
    if(x%z == 0):
        if(gcd(z, x//z)) == 1:
            if(max(z, x//z) < max(a, b)):
                a = z
                b = x//z
    z += 1
t = []
t.append(a)
t.append(b)
print(*t)