Problem: You are given a broken clock. You know, that it is supposed to show time in 12- or 24-hours HH:MM format. In 12-hours format hours change from 1 to 12, while in 24-hours it changes from 0 to 23. In both formats minutes change from 0 to 59.

You are given a time in format HH:MM that is currently displayed on the broken clock. Your goal is to change minimum number of digits in order to make clocks display the correct time in the given format.

For example, if 00:99 is displayed, it is enough to replace the second 9 with 3 in order to get 00:39 that is a correct time in 24-hours format. However, to make 00:99 correct in 12-hours format, one has to change at least two digits. Additionally to the first change one can replace the second 0 with 1 and obtain 01:39.

Input

The first line of the input contains one integer 12 or 24, that denote 12-hours or 24-hours format respectively.

The second line contains the time in format HH:MM, that is currently displayed on the clock. First two characters stand for the hours, while next two show the minutes.

Output

The only line of the output should contain the time in format HH:MM that is a correct time in the given format. It should differ from the original in as few positions as possible. If there are many optimal solutions you can print any of them.

Examples

Input

24
17:30


Output

17:30


Input

12
17:30


Output

07:30


Input

24
99:99


Output

09:09

Solution (in JAVA):

Solution:
import java.awt.*;
import java.awt.geom.Line2D;
import java.io.*;
import java.math.*;
import java.nio.file.Files;
import java.nio.file.Paths;
import java.nio.file.attribute.BasicFileAttributeView;
import java.nio.file.attribute.FileTime;
import java.text.ParseException;
import java.text.SimpleDateFormat;
import java.util.*;

public class Main implements Runnable {

    int maxn = (int) 5e3 + 111;
    int mod = (int) 1e9 + 7;
    int inf = (int) 1e9;
    int n, m, k;
    int a[] = new int[maxn];

    void solve() throws Exception {

        n = in.nextInt();

        String s = in.nextToken();
        String Shour = s.substring(0,2);
        String SMin = s.substring(3,5);
        int hour = Integer.parseInt(Shour);
        int min = Integer.parseInt(SMin);

        char h[] = Shour.toCharArray();
        char m[] = SMin.toCharArray();

        if (hour>=n) {
            h[1] = '0';
            if (Integer.parseInt(new String(h)) >= n) {
                h[1] = s.charAt(1);
                h[0] = '0';
                if (Integer.parseInt(new String(h)) >= n) {
                    h[1] = '0';
                    h[0] = '0';
                }
            }
        }

        String left = new String(h);

        if (min>=60) {
            m[0] = '0';
        }

        String right = new String(m);

        if (n==12) {
            h = Shour.toCharArray();
            if (h[0]=='0') {
                if (h[1]=='0') {
                    h[1] = '1';
                }
            } else if (h[0]=='1') {
                if (h[1]>'2') {
                    h[1] = '0';
                }
            } else {
                h[0] = '0';
                if (h[1]=='0' || h[1]=='1' || h[1]=='2') {
                    h[0] = '1';
                }
            }
            left = new String (h);
        }

        out.print(left + ":" + right);
    }

    class Pair{
        int x;
        int y;

        public Pair (int x , int y) {
            this.x = x;
            this.y = y;
        }
    }

    String fileInName = "network";
    boolean file = false;
    boolean isAcmp = true;

    static Throwable throwable;

    public static void main(String[] args) throws Throwable {
        Thread thread = new Thread(null, new Main(), "", (1 << 26));
        thread.start();
        thread.join();
        thread.run();
        if (throwable != null)
            throw throwable;
    }

    FastReader in;
    PrintWriter out;

    public void run() {
        String fileIn = "input.txt";
        String fileOut = "output.txt";

        try {
            if (isAcmp) {
                if (file) {
                    in = new FastReader(new BufferedReader(new FileReader(fileIn)));
                    out = new PrintWriter(fileOut);
                } else {
                    in = new FastReader(new BufferedReader(new InputStreamReader(System.in)));
                    out = new PrintWriter(System.out);
                }
            } else if (file) {
                in = new FastReader(new BufferedReader(new FileReader(fileInName + ".in")));
                out = new PrintWriter(fileInName + ".out");
            } else {
                in = new FastReader(new BufferedReader(new InputStreamReader(System.in)));
                out = new PrintWriter(System.out);
            }

            solve();
        } catch (Exception e) {
            throwable = e;
        } finally {
            out.close();
        }

    }
}

class FastReader {
    BufferedReader bf;
    StringTokenizer tk = null;

    public FastReader(BufferedReader bf) {
        this.bf = bf;
    }

    public String nextToken() throws Exception {
        if (tk == null || !tk.hasMoreTokens()) {
            tk = new StringTokenizer(bf.readLine());
        }
        if (!tk.hasMoreTokens()) return nextToken();
        else
            return tk.nextToken();
    }

    public int nextInt() throws Exception {
        return Integer.parseInt(nextToken());
    }

    public long nextLong() throws Exception {
        return Long.parseLong(nextToken());
    }

    public double nextDouble() throws Exception {
        return Double.parseDouble(nextToken());
    }
}