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.*;

/**
 * @author Alexander Tsupko (alexander.tsupko@outlook.com)
 *         Copyright (c) All rights reserved.
 */
public class A {
    private static class Solve {
        private static void solve(InputReader in, PrintWriter out) {
            int n = in.readInt();
            String[] strings = in.readString().split(":");

            int[] a = new int[2];
            a[0] = Integer.parseInt(strings[0]);
            a[1] = Integer.parseInt(strings[1]);

            StringBuilder sb0 = new StringBuilder(strings[0]);
            StringBuilder sb1 = new StringBuilder(strings[1]);

            switch (n) {
                case 12:
                    if (!(1 <= a[0] && a[0] <= 12)) {
                        sb0.replace(0, 1, "0");
                        if (sb0.charAt(0) == '0' && sb0.charAt(1) == '0') sb0.replace(0, 1, "1");
                    }
                    break;
                case 24:
                    if (!(0 <= a[0] && a[0] <= 23)) sb0.replace(0, 1, "0");
                    break;
            }
            if (!(0 <= (a[1] / 10) && (a[1] / 10) <= 5)) sb1.replace(0, 1, "0");
            out.print(sb0 + ":" + sb1);
        }
    }

    public static void main(String[] args) {
        InputReader in = new InputReader(System.in);
        PrintWriter out = new PrintWriter(System.out);
        Solve.solve(in, out); out.flush();
    }

    private static class InputReader {
        private final InputStream stream;
        private int current;
        private int size;
        private byte[] buffer = new byte[1024 * 8];

        public InputReader(InputStream stream) {
            this.stream = stream;
            current = 0;
            size = 0;
        }

        public int readInt() {
            int sign = 1;
            int abs = 0;
            int c = readNonEmpty();
            if (c == '-') {
                sign = -1;
                c = readAny();
            }
            do {
                if (c < '0' || c > '9') {
                    throw new IllegalStateException();
                }
                abs = 10 * abs + (c - '0');
                c = readAny();
            } while (!isEmpty(c));
            return sign * abs;
        }

        public int[] readIntArray(int n) {
            int[] array = new int[n];
            for (int i = 0 ; i < n ; i++) {
                array[i] = readInt();
            }
            return array;
        }

        public long readLong() {
            int sign = 1;
            int abs = 0;
            int c = readNonEmpty();
            if (c == '-') {
                sign = -1;
                c = readAny();
            }
            do {
                if (c < '0' || c > '9') {
                    throw new IllegalStateException();
                }
                abs = 10 * abs + (c - '0');
                c = readAny();
            } while (!isEmpty(c));
            return (long) sign * abs;
        }

        public char readChar() {
            return (char) readNonEmpty();
        }

        public String readString() {
            StringBuilder sb = new StringBuilder();
            int c;
            do {
                c = readAny();
            } while (isEmpty(c));
            do {
                sb.append((char) c);
                c = readAny();
            } while (!isEmpty(c));
            return sb.toString();
        }

        private int readAny() {
            try {
                if (current >= size) {
                    current = 0;
                    size = stream.read(buffer);
                    if (size < 0) {
                        return -1;
                    }
                }
            } catch (IOException e) {
                throw new RuntimeException("Failed to readAny next byte", e);
            }
            return buffer[current++];
        }

        private int readNonEmpty() {
            int result;
            do {
                result = readAny();
            } while (isEmpty(result));
            return result;
        }

        private static boolean isEmpty(int c) {
            return c == ' ' || c == '\t' || c == '\n' || c == '\r' || c == -1;
        }
    }
}