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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
long long gcd(long long a, long long b) {
  if (a == 0) return b;
  return gcd(b % a, a);
}
long long isLcm(long long a, long long b) { return ((a * b) / gcd(a, b)); }
int main() {
  cin.tie(0);
  ios_base::sync_with_stdio(0);
  long long n, count = 1, mini = 1e13;
  cin >> n;
  if (n == 1) {
    cout << 1 << " " << 1 << endl;
    return 0;
  }
  while (count * count <= n) {
    if (n % count == 0 && isLcm(count, n / count) == n) {
      long long maxi = max(count, n / count);
      mini = min(mini, maxi);
    }
    count++;
  }
  cout << mini << " " << n / mini << endl;
  return 0;
}