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.io.*;
import java.lang.reflect.Array;
import java.math.*;
import java.text.DecimalFormat;
import java.util.*;




public class Main {

    private static boolean valid(int [] V,int f) {
        int h = V[0] * 10 + V[1];
        int m = V[2] * 10 + V[3];
        if (m < 0 || m >= 60) return false;
        if (f == 12) return 1 <= h && h <= 12;
        else return 0 <= h && h <= 23;
    }
    public static void main(String[] args) throws Exception {
        IO io = new IO(null,null);
        int f = io.getNextInt();
        char [] T = io.getNext().toCharArray();
        int [] V = {T[0]-'0',T[1]-'0',T[3] - '0',T[4] - '0'};
        if (V[2] >= 6) V[2] = 0;
        int ans = 4;
        int [] R = null;
        for (int msk = 0;msk < (1 << 2);msk++) {
            int [] N = V.clone();
            int ctr = 0;
            for (int i = 0;i < 4;i++)
                if ((msk&(1<<i)) != 0) {
                    N[i] = 0;
                    ctr++;
                }
                else N[i] = V[i];
            if (valid(N,f) && ctr < ans){
                ans = ctr;
                R = N.clone();
            }
            for (int i = 0;i < 4;i++)
                if ((msk&(1<<i)) != 0) {
                    N[i] = 1;
                    ctr++;
                }
                else N[i] = V[i];
            if (valid(N,f) && ctr < ans){
                ans = ctr;
                R = N.clone();
            }
        }
        io.print(R[0] + "" + R[1] + ":" + R[2]  + "" + R[3]);
        io.close();
    }
}






class IO{
    private BufferedReader br;
    private StringTokenizer st;
    private PrintWriter writer;
    private String inputFile,outputFile;

    public boolean hasMore() throws IOException{
        if(st != null && st.hasMoreTokens()) return true;
        if(br != null && br.ready()) return true;
        return false;
    }

    public String getNext() throws FileNotFoundException, IOException{
        while(st == null || !st.hasMoreTokens()) st = new StringTokenizer(br.readLine());
        return st.nextToken();
    }

    public String getNextLine() throws FileNotFoundException, IOException{
        return br.readLine().trim();
    }

    public int getNextInt() throws FileNotFoundException, IOException{
        return Integer.parseInt(getNext());
    }
    public long getNextLong() throws FileNotFoundException, IOException{
        return Long.parseLong(getNext());
    }

    public void print(double x,int num_digits) throws  IOException{
        writer.printf("%." + num_digits + "f" ,x);
    }
    public void println(double x,int num_digits) throws  IOException{
        writer.printf("%." + num_digits + "f\n" ,x);
    }
    public void print(Object o) throws  IOException{
        writer.print(o.toString());
    }

    public void println(Object o) throws  IOException{
        writer.println(o.toString());
    }
    public IO(String x,String y) throws FileNotFoundException, IOException{
        inputFile = x;
        outputFile = y;
        if(x != null) br = new BufferedReader(new FileReader(inputFile));
        else br = new BufferedReader(new InputStreamReader(System.in));
        if(y != null) writer = new PrintWriter(new BufferedWriter(new FileWriter(outputFile)));
        else writer = new PrintWriter(new OutputStreamWriter(System.out));
    }

    protected void close() throws IOException{
        br.close();
        writer.close();
    }
    public void outputArr(Object [] A) throws IOException{
        int L = A.length;
        for (int i = 0;i < L;i++) {
            if(i > 0) writer.print(" ");
            writer.print(A[i]);
        }
        writer.print("\n");
    }
}