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 sys
import math
import heapq
import bisect
import re
from collections import deque
from decimal import *
from fractions import gcd
 
sys.setrecursionlimit(1000000000)
def input():
    return sys.stdin.readline().strip()
 
def iinput():
    return int(input())
 
def finput():
    return float(input())
 
def tinput():
    return input().split()
 
def rinput():
    return map(int, tinput())
 
def rlinput():
    return list(rinput())
 
def modst(q, s):
    res = 1
    while s:
        if s % 2:
            res *= q
        q *= q
        s //= 2
    return res

def main():
    # [int(i) for i in sys.stdin.readline().split()]
    n = int(sys.stdin.readline())
    for i in range(int(n ** 0.5) + 1, 0, -1):
        if n % i == 0 and gcd(i, n // i) == 1 or i == 1:
            r = i
            break
    print(r, n // r)
    
for i in range(1):
    main()