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.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.StringTokenizer;
import java.io.IOException;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author Jaynil
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        CFadiAndLCM solver = new CFadiAndLCM();
        solver.solve(1, in, out);
        out.close();
    }

    static class CFadiAndLCM {
        public void solve(int testNumber, InputReader in, PrintWriter out) {
            long x = in.nextLong();
            long min = Long.MAX_VALUE;
            long a = 0;
            long b = 0;
            for (long i = 1; i * i <= x; i++) {
                if (x % i == 0) {
                    if (Math.max(i, x / i) < min && Maths.gcd(i, x / i) == 1) {
                        min = Math.max(i, x / i);
                        a = i;
                        b = x / i;
                    }
                }
            }
            out.println(a + " " + b);
        }

    }

    static class InputReader {
        public BufferedReader reader;
        public StringTokenizer tokenizer;

        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream), 32768);
            tokenizer = null;
        }

        public String next() {
            while (tokenizer == null || !tokenizer.hasMoreTokens()) {
                try {
                    tokenizer = new StringTokenizer(reader.readLine());
                } catch (IOException e) {
                    throw new RuntimeException(e);
                }
            }
            return tokenizer.nextToken();
        }

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

    }

    static class Maths {
        static long gcd(long a, long b) {
            if (a == 0) {
                return b;
            }
            if (b == 0) {
                return a;
            }

            long r, i;
            while (b != 0) {
                r = a % b;
                a = b;
                b = r;
            }
            return a;
        }

    }
}