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 JAVA):

Solution:
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.File;
import java.io.*;
import java.util.*;

public class Main {

    // static final File ip = new File("input.txt");
    // static final File op = new File("output.txt");
    // static {
    // try {
    // System.setOut(new PrintStream(op));
    // System.setIn(new FileInputStream(ip));
    // } catch (Exception e) {
    // }
    // }
    static ArrayList<Long> as = new ArrayList<>();
    static HashSet<Long> hs = new HashSet<>();
    static void printDivisors(long n)
    {
        for (long i=1; i<=Math.sqrt(n); i++)
        {
            if (n%i==0)
            {
                if (n/i == i)
                {
                    as.add(i);
                    hs.add(i);
                }
      
                else
                    {
                        as.add(i);
                        as.add(n/i);
                        hs.add(i);
                        hs.add(n/i);
                    }
            }
        }
    }
    public static void main(String[] args) {
      FastReader sc = new FastReader();
      as.clear();
      long n = sc.nextLong();
    //   System.out.println(isPrime(n));
      if(isPrime(n)==true || n==1)
      {
          System.out.println("1 "+n);
          return;
      }
      printDivisors(n);
      Collections.sort(as);
    //   for(long i : as)
    //   System.out.println(i);
          long a = 0;
          long b = 0;
          long min = Long.MAX_VALUE;
          for(int i=0;i<as.size();i++)
          {
              if(hs.contains(n/as.get(i))==true && lcm(as.get(i),n/as.get(i))==n)
              {
                  if(Math.max(as.get(i),n/as.get(i))<min)
                  {
                    min = Math.max(as.get(i),n/as.get(i));
                    a = as.get(i);
                    b = n/as.get(i);
                  }
              }
          }
          System.out.println(a+" "+b);
      }

    static long power(long x, long y, long p) {
        long res = 1;
        x = x % p;
        if (x == 0)
            return 0;
        while (y > 0) {
            if ((y & 1) != 0)
                res = (res * x) % p;
            y = y >> 1;
            x = (x * x) % p;
        }
        return res;
    }

    public static int countSetBits(long number) {
        int count = 0;
        while (number > 0) {
            ++count;
            number &= number - 1;
        }
        return count;
    }

    private static <T> void swap(T[] array, int i, int j) {
        if (i != j) {
            T tmp = array[i];
            array[i] = array[j];
            array[j] = tmp;
        }
    }

    private static long getSum(int[] array) {
        long sum = 0;
        for (int value : array) {
            sum += value;
        }
        return sum;
    }

    private static boolean isPrime(Long x) {
        if (x < 2)
            return false;
        for (long d = 2; d * d <= x; ++d) {
            if (x % d == 0)
                return false;
        }
        return true;
    }

    private static int[] getPrimes(int n) {
        boolean[] used = new boolean[n + 1];
        used[0] = used[1] = true;
        int size = 0;
        for (int i = 2; i <= n; ++i) {
            if (!used[i]) {
                ++size;
                for (int j = 2 * i; j <= n; j += i) {
                    used[j] = true;
                }
            }
        }
        int[] primes = new int[size];
        for (int i = 0, cur = 0; i <= n; ++i) {
            if (!used[i]) {
                primes[cur++] = i;
            }
        }
        return primes;
    }

    private static long lcm(long a, long b) {
        return a / gcd(a, b) * b;
    }

    private static long gcd(long a, long b) {
        return (a == 0 ? b : gcd(b % a, a));
    }

    static void shuffleArray(int[] arr) {
        int n = arr.length;
        Random rnd = new Random();
        for (int i = 0; i < n; ++i) {
            int tmp = arr[i];
            int randomPos = i + rnd.nextInt(n - i);
            arr[i] = arr[randomPos];
            arr[randomPos] = tmp;
        }
    }

    static void shuffleList(ArrayList<Long> arr) {
        int n = arr.size();
        Random rnd = new Random();
        for (int i = 0; i < n; ++i) {
            long tmp = arr.get(i);
            int randomPos = i + rnd.nextInt(n - i);
            arr.set(i, arr.get(randomPos));
            arr.set(randomPos, tmp);
        }
    }

    static void factorize(long n) {
        int count = 0;
        while (!(n % 2 > 0)) {
            n >>= 1;

            count++;
        }
        if (count > 0) {
            // System.out.println("2" + " " + count);
        }
        for (long i = 3; i <= (long) Math.sqrt(n); i += 2) {
            count = 0;
            while (n % i == 0) {
                count++;
                n = n / i;
            }
            if (count > 0) {
                // System.out.println(i + " " + count);
            }
        }

        if (n > 2) {
            // System.out.println(i + " " + count);
        }
    }

    static void shuffleArrayL(long[] arr) {
        int n = arr.length;
        Random rnd = new Random();
        for (int i = 0; i < n; ++i) {
            long tmp = arr[i];
            int randomPos = i + rnd.nextInt(n - i);
            arr[i] = arr[randomPos];
            arr[randomPos] = tmp;
        }
    }

    static class FastReader {
        BufferedReader br;
        StringTokenizer st;

        public FastReader() {
            br = new BufferedReader(new InputStreamReader(System.in));
        }

        public boolean hasNext() {
            return false;
        }

        String next() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

        int nextInt() {
            return Integer.parseInt(next());
        }

        long nextLong() {
            return Long.parseLong(next());
        }

        double nextDouble() {
            return Double.parseDouble(next());
        }

        String nextLine() {
            String str = "";
            try {
                str = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }
    }
}