Problem: After the fourth season Sherlock and Moriary have realized the whole foolishness of the battle between them and decided to continue their competitions in peaceful game of Credit Cards.

Rules of this game are simple: each player bring his favourite n-digit credit card. Then both players name the digits written on their cards one by one. If two digits are not equal, then the player, whose digit is smaller gets a flick (knock in the forehead usually made with a forefinger) from the other player. For example, if n = 3, Sherlock's card is 123 and Moriarty's card has number 321, first Sherlock names 1 and Moriarty names 3 so Sherlock gets a flick. Then they both digit 2 so no one gets a flick. Finally, Sherlock names 3, while Moriarty names 1 and gets a flick.

Of course, Sherlock will play honestly naming digits one by one in the order they are given, while Moriary, as a true villain, plans to cheat. He is going to name his digits in some other order (however, he is not going to change the overall number of occurences of each digit). For example, in case above Moriarty could name 1, 2, 3 and get no flicks at all, or he can name 2, 3 and 1 to give Sherlock two flicks.

Your goal is to find out the minimum possible number of flicks Moriarty will get (no one likes flicks) and the maximum possible number of flicks Sherlock can get from Moriarty. Note, that these two goals are different and the optimal result may be obtained by using different strategies.

Input

The first line of the input contains a single integer n (1 ≤ n ≤ 1000) — the number of digits in the cards Sherlock and Moriarty are going to use.

The second line contains n digits — Sherlock's credit card number.

The third line contains n digits — Moriarty's credit card number.

Output

First print the minimum possible number of flicks Moriarty will get. Then print the maximum possible number of flicks that Sherlock can get from Moriarty.

Examples

Input

3
123
321


Output

0
2


Input

2
88
00


Output

2
0

Note

First sample is elaborated in the problem statement. In the second sample, there is no way Moriarty can avoid getting two flicks.

Solution (in JAVA):

Solution:
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
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
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        MyBufferedReader in = new MyBufferedReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        TaskB solver = new TaskB();
        solver.solve(1, in, out);
        out.close();
    }

    static class TaskB {
        public void solve(int testNumber, MyBufferedReader in, PrintWriter out) {
            int n = in.getAnInt();
            String sh = in.readLine();
            String mo = in.readLine();

            int minFlicksRcv = getMinFlicks(sh, n, mo);
            int max = getMax(sh, n, mo);
            out.println(minFlicksRcv);
            out.println(max);
        }

        private int getMinFlicks(String sh, int n, String mo) {
            int minFlicksRcv = 0;
            boolean[] stillInPlay = new boolean[n];
            Arrays.fill(stillInPlay, true);
            for (int i = 0; i < n; i++) {
                int shDig = sh.charAt(i) - '0';
                int min = Integer.MAX_VALUE;
                int ge = -1;
                for (int j = 0; j < n; j++) {
                    if (stillInPlay[j]) {
                        int moDig = mo.charAt(j) - '0';
                        if (moDig >= shDig) {
                            if (ge == -1 || moDig < ge) {
                                ge = moDig;
                            }
                        } else {
                            min = Math.min(min, moDig);
                        }
                    }
                }

                if (ge == -1) {
                    minFlicksRcv++;
                    remDigit(min, stillInPlay, mo);
                } else {
                    remDigit(ge, stillInPlay, mo);
                }
            }

            return minFlicksRcv;
        }

        private int getMax(String sh, int n, String mo) {
            int maxInfl = 0;
            boolean[] stillInPlay = new boolean[n];
            Arrays.fill(stillInPlay, true);

            for (int i = 0; i < n; i++) {
                int shDig = sh.charAt(i) - '0';
                int min = Integer.MAX_VALUE;
                int g = -1;
                for (int j = 0; j < n; j++) {
                    if (stillInPlay[j]) {
                        int moDig = mo.charAt(j) - '0';
                        if (moDig > shDig) {
                            if (g == -1 || moDig < g) {
                                g = moDig;
                            }
                        } else {
                            min = Math.min(min, moDig);
                        }
                    }
                }

                if (g == -1) {
                    remDigit(min, stillInPlay, mo);
                } else {
                    maxInfl++;
                    remDigit(g, stillInPlay, mo);
                }
            }

            return maxInfl;
        }

        private void remDigit(int toRem, boolean[] stillInPlay, String mo) {
            for (int i = 0; i < stillInPlay.length; i++) {
                if (stillInPlay[i]) {
                    int moDig = mo.charAt(i) - '0';
                    if (moDig == toRem) {
                        stillInPlay[i] = false;
                        break;
                    }
                }
            }

        }

    }

    static class MyBufferedReader {
        BufferedReader in;

        public MyBufferedReader(InputStream s) {
            this.in = new BufferedReader(new InputStreamReader(s));
        }

        public String readLine() {
            String res = null;

            try {
                res = in.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return res;
        }

        public int getAnInt() {
            int res = -1;
            try {
                res = Integer.parseInt(new StringTokenizer(in.readLine()).nextToken());
            } catch (IOException e) {
                e.printStackTrace();
            }
            return res;
        }

    }
}