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:
from sys import stdin
input = stdin.buffer.readline

t = int(input())
ot =t
mx = t

i = 2
prim = []
while i*i <= t:
    now = 1
    while t and t%i == 0:
        t //= i
        now = now*i
    if now != 1:
        prim.append(now)
    i += 1

if t:
    prim.append(t)

can = [1]
for i in prim:
    nw = []
    for x in can:
        nw.append(x*i)
        mx = min(mx, max(x*i, ot//(x*i)))
    can.extend(nw)

print(mx, ot//mx)