C: Divisor Game

problem

tsutaj is trying to play about a few games.

In a divisor game, a natural number N of 2 or more is given first, and then the game progresses according to the following procedure.

* Declare one integer from the divisors of N other than N. However, at this time, it is not possible to declare a divisor of an integer that has already been declared.
* Repeat this as long as there is an integer that can be declared, and if there is nothing that can be declared, the game ends.



Find the minimum and maximum number of possible declarations before the end of the game.

Input format

Input is given on one line.


N

Constraint

* 2 \ leq N \ leq 10 ^ {12}



Output format

Output the minimum and maximum number of declarations on one line separated by spaces.

Input example 1


18

Output example 1


twenty five

The following is an example of setting the number of declarations to 2.

* Declare 9.
* Declare 6. (6 is not a divisor of 9, so it can be declared)



If you do this, any integer that is a divisor of 18 and not 18 will be a divisor of the integers you have declared, and the game will end.

Note that you cannot declare anything that is a divisor of an integer that you have already declared. For example, you cannot declare 3 after declaring 9. Because 3 is a divisor of 9.

Input example 2


99

Output example 2


twenty five

Input example 3


10000000019

Output example 3


1 1

The input may not fit in a 32-bit integer type.





Example

Input

18


Output

2 5
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.BufferedWriter;
import java.util.HashMap;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.UncheckedIOException;
import java.nio.charset.Charset;
import java.util.StringTokenizer;
import java.util.Map;
import java.util.Map.Entry;
import java.io.Writer;
import java.io.OutputStreamWriter;
import java.io.BufferedReader;
import java.util.regex.Pattern;
import java.io.InputStream;

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

    static class CDivisorGame {
        public void solve(int testNumber, LightScanner in, LightWriter out) {
            Debug.enable("src");
            long n = in.longs();
            Map<Long, Integer> pf = new HashMap<>();
            for (long i = 2; i * i <= n; i++) {
                int c = 0;
                while (n % i == 0) {
                    n /= i;
                    c++;
                }
                if (c > 0) {
                    pf.put(i, c);
                }
            }
            if (n > 1) {
                pf.put(n, 1);
            }

            long ans = 1;
            for (Map.Entry<Long, Integer> ent : pf.entrySet()) {
                ans *= (ent.getValue() + 1L);
            }
            out.ans(pf.size()).ans(ans - 1).ln();
        }

    }

    static class LightWriter implements AutoCloseable {
        private final Writer out;
        private boolean autoflush = false;
        private boolean breaked = true;

        public LightWriter(Writer out) {
            this.out = out;
        }

        public LightWriter(OutputStream out) {
            this(new BufferedWriter(new OutputStreamWriter(out, Charset.defaultCharset())));
        }

        public LightWriter print(char c) {
            try {
                out.write(c);
                breaked = false;
            } catch (IOException ex) {
                throw new UncheckedIOException(ex);
            }
            return this;
        }

        public LightWriter print(String s) {
            try {
                out.write(s, 0, s.length());
                breaked = false;
            } catch (IOException ex) {
                throw new UncheckedIOException(ex);
            }
            return this;
        }

        public LightWriter ans(String s) {
            if (!breaked) {
                print(' ');
            }
            return print(s);
        }

        public LightWriter ans(long l) {
            return ans(Long.toString(l));
        }

        public LightWriter ans(int i) {
            return ans(Integer.toString(i));
        }

        public LightWriter ln() {
            print(System.lineSeparator());
            breaked = true;
            if (autoflush) {
                try {
                    out.flush();
                } catch (IOException ex) {
                    throw new UncheckedIOException(ex);
                }
            }
            return this;
        }

        public void close() {
            try {
                out.close();
            } catch (IOException ex) {
                throw new UncheckedIOException(ex);
            }
        }

    }

    static class LightScanner {
        private BufferedReader reader = null;
        private StringTokenizer tokenizer = null;

        public LightScanner(InputStream in) {
            reader = new BufferedReader(new InputStreamReader(in));
        }

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

        public long longs() {
            return Long.parseLong(string());
        }

    }

    static class Debug {
        private static final String DEBUG_CALL_PATTERN = "^.+\\.debug\\((.+)\\);.*$";
        private static Pattern debugRegex;
        private static boolean enabled = false;
        private static String src;

        public static void enable(String s) {
            enabled = true;
            src = s;
            if (debugRegex == null) {
                debugRegex = Pattern.compile(DEBUG_CALL_PATTERN);
            }
        }

    }
}


