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(b,c):
    while(b%c!=0):
        c,b=b%c,c
    return(c)


def ras(x):
    if(x==1):
        return([1,1])
    i=1
    a=[]
    while(i<x/i):
        if(x%i==0):
            a.append(i)
        i=i+1
   
    y=len(a)-1
    while(y>=0):
        c=a[y]
        b=int(x/a[y])
        if gcd(b,c)==1:
            return(c,b)
        else:
            y=y-1
x=int(input())
r=ras(x)
print(*r)