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.BufferedWriter;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.io.Writer;
import java.lang.reflect.Constructor;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collection;
import java.util.InputMismatchException;
import java.util.StringTokenizer;

public class CodeA {
  private static final boolean SHOULD_BUFFER_OUTPUT = false;

  static final SuperWriter sw = new SuperWriter(System.out);

  static final SuperScanner sc = new SuperScanner();

  static String makeSize(int i, int size) {
    String answer = i + "";
    while (answer.length() != size) {
      answer = "0" + answer;
    }
    return answer;
  }

  static int compare(String a, String b) {
    int answer = 0;
    for (int i = 0; i < a.length(); i++) {
      if (a.charAt(i) != b.charAt(i)) {
        answer++;
      }
    }
    return answer;
  }

  public static void main() {
    int format = sc.nextInt();
    String[] parts = sc.next().split(":");
    int best = Integer.MAX_VALUE;
    String bestAnswer = "";
    if (format == 24) {
      for (int h = 0; h < 24; h++) {
        for (int m = 0; m < 60; m++) {
          String hNew = makeSize(h, 2);
          String mNew = makeSize(m, 2);
          int answer = compare(parts[0], hNew) + compare(parts[1], mNew);
          if (answer < best) {
            best = answer;
            bestAnswer = hNew + ":" + mNew;
          }
        }
      }
    } else {
      for (int h = 1; h < 13; h++) {
        for (int m = 0; m < 60; m++) {
          String hNew = makeSize(h, 2);
          String mNew = makeSize(m, 2);
          int answer = compare(parts[0], hNew) + compare(parts[1], mNew);
          if (answer < best) {
            best = answer;
            bestAnswer = hNew + ":" + mNew;
          }
        }
      }
    }
    sw.printLine(bestAnswer);
  }

  static class LineScanner extends Scanner {
    private StringTokenizer st;

    public LineScanner(String input) {
      st = new StringTokenizer(input);
    }

    @Override
    public String next() {
      return st.hasMoreTokens() ? st.nextToken() : null;
    }

    @Override
    public String nextLine() {
      throw new RuntimeException("not supported");
    }

    public boolean hasNext() {
      return st.hasMoreTokens();
    }

    private final ArrayList<Object> temp = new ArrayList<Object>();

    private void fillTemp() {
      while (st.hasMoreTokens()) {
        temp.add(st.nextToken());
      }
    }

    public String[] asStringArray() {
      fillTemp();
      String[] answer = new String[temp.size()];
      for (int i = 0; i < answer.length; i++) {
        answer[i] = (String) temp.get(i);
      }
      temp.clear();
      return answer;
    }

    public int[] asIntArray() {
      fillTemp();
      int[] answer = new int[temp.size()];
      for (int i = 0; i < answer.length; i++) {
        answer[i] = Integer.parseInt((String) temp.get(i));
      }
      temp.clear();
      return answer;
    }

    public long[] asLongArray() {
      fillTemp();
      long[] answer = new long[temp.size()];
      for (int i = 0; i < answer.length; i++) {
        answer[i] = Long.parseLong((String) temp.get(i));
      }
      temp.clear();
      return answer;
    }

    public double[] asDoubleArray() {
      fillTemp();
      double[] answer = new double[temp.size()];
      for (int i = 0; i < answer.length; i++) {
        answer[i] = Double.parseDouble((String) temp.get(i));
      }
      temp.clear();
      return answer;
    }
  }

  static class SuperScanner extends Scanner {
    private InputStream stream;
    private byte[] buf = new byte[8096];
    private int curChar;
    private int numChars;

    public SuperScanner() {
        this.stream = System.in;
    }

    public int read() {
        if (numChars == -1)
            return -1;
        if (curChar >= numChars) {
            curChar = 0;
            try {
                numChars = stream.read(buf);
            } catch (IOException e) {
                throw new InputMismatchException();
            }
            if (numChars <= 0)
                return -1;
        }
        return buf[curChar++];
    }
    
    public static boolean isWhitespace(int c) {
      return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
    }

    public static boolean isLineEnd(int c) {
      return c == '\n' || c == -1;
    }
    
    private final StringBuilder sb = new StringBuilder();
    
    @Override
    public String next() {
      int c = read();
      while (isWhitespace(c)) {
          if (c == -1) {
            return null;
          }
          c = read();
      }
      sb.setLength(0);
      do {
          sb.append((char) c);
          c = read();
      } while (!isWhitespace(c));
      return sb.toString();
    }

    @Override
    public String nextLine() {
      sb.setLength(0);
      int c;
      while (true) {
        c = read();
        if (!isLineEnd(c)) {
          sb.append((char) c);
        } else {
          break;
        }
      }
      if (c == -1 && sb.length() == 0) {
        return null;
      } else {
        if (sb.length() > 0 && sb.charAt(sb.length() - 1) == '\r') {
          return sb.substring(0, sb.length() - 1);
        } else {
          return sb.toString();
        }
      }
    }

    public LineScanner nextLineScanner() {
      String line = nextLine();
      if (line == null) {
        return null;
      } else {
        return new LineScanner(line);
      }
    }

    public LineScanner nextNonEmptyLineScanner() {
      while (true) {
        String line = nextLine();
        if (line == null) {
          return null;
        } else if (!line.isEmpty()) {
          return new LineScanner(line);
        }
      }
    }

    @Override
    public int nextInt() {
        int c = read();
        while (isWhitespace(c)) {
            c = read();
        }
        int sgn = 1;
        if (c == '-') {
            sgn = -1;
            c = read();
        }
        int res = 0;
        do {
            if (c < '0' || c > '9')
                throw new InputMismatchException();
            res = (res << 3) + (res << 1);
            res += c - '0';
            c = read();
        } while (!isWhitespace(c));
        return res * sgn;
    }

    @Override
    public long nextLong() {
        int c = read();
        while (isWhitespace(c))
            c = read();
        int sgn = 1;
        if (c == '-') {
            sgn = -1;
            c = read();
        }
        long res = 0;
        do {
            if (c < '0' || c > '9')
                throw new InputMismatchException();
            res = (res << 3) + (res << 1);
            res += c - '0';
            c = read();
        } while (!isWhitespace(c));
        return res * sgn;
    }
  }
  
  static abstract class Scanner {

    public abstract String next();

    public abstract String nextLine();

    public int nextIntOrQuit() {
      Integer n = nextInteger();
      if (n == null) {
        sw.close();
        System.exit(0);
      }
      return n.intValue();
    }

    public int nextInt() {
      return Integer.parseInt(next());
    }

    public long nextLong() {
      return Long.parseLong(next());
    }

    public double nextDouble() {
      return Double.parseDouble(next());
    }

    public int[] nextIntArray(int n) {
      int[] res = new int[n];
      for (int i = 0; i < res.length; i++)
        res[i] = nextInt();
      return res;
    }

    public long[] nextLongArray(int n) {
      long[] res = new long[n];
      for (int i = 0; i < res.length; i++)
        res[i] = nextLong();
      return res;
    }

    public double[] nextDoubleArray(int n) {
      double[] res = new double[n];
      for (int i = 0; i < res.length; i++)
        res[i] = nextDouble();
      return res;
    }

    public void sortIntArray(int[] array) {
      Integer[] vals = new Integer[array.length];
      for (int i = 0; i < array.length; i++)
        vals[i] = array[i];
      Arrays.sort(vals);
      for (int i = 0; i < array.length; i++)
        array[i] = vals[i];
    }

    public void sortLongArray(long[] array) {
      Long[] vals = new Long[array.length];
      for (int i = 0; i < array.length; i++)
        vals[i] = array[i];
      Arrays.sort(vals);
      for (int i = 0; i < array.length; i++)
        array[i] = vals[i];
    }

    public void sortDoubleArray(double[] array) {
      Double[] vals = new Double[array.length];
      for (int i = 0; i < array.length; i++)
        vals[i] = array[i];
      Arrays.sort(vals);
      for (int i = 0; i < array.length; i++)
        array[i] = vals[i];
    }

    public String[] nextStringArray(int n) {
      String[] vals = new String[n];
      for (int i = 0; i < n; i++)
        vals[i] = next();
      return vals;
    }

    public Integer nextInteger() {
      String s = next();
      if (s == null)
        return null;
      return Integer.parseInt(s);
    }

    public int[][] nextIntMatrix(int n, int m) {
      int[][] ans = new int[n][];
      for (int i = 0; i < n; i++)
        ans[i] = nextIntArray(m);
      return ans;
    }

    public char[][] nextGrid(int r) {
      char[][] grid = new char[r][];
      for (int i = 0; i < r; i++)
        grid[i] = next().toCharArray();
      return grid;
    }

    public static <T> T fill(T arreglo, int val) {
      if (arreglo instanceof Object[]) {
        Object[] a = (Object[]) arreglo;
        for (Object x : a)
          fill(x, val);
      } else if (arreglo instanceof int[])
        Arrays.fill((int[]) arreglo, val);
      else if (arreglo instanceof double[])
        Arrays.fill((double[]) arreglo, val);
      else if (arreglo instanceof long[])
        Arrays.fill((long[]) arreglo, val);
      return arreglo;
    }

    public <T> T[] nextObjectArray(Class<T> clazz, int size) {
      @SuppressWarnings("unchecked")
      T[] result = (T[]) java.lang.reflect.Array.newInstance(clazz, size);
      for (int c = 0; c < 3; c++) {
        Constructor<T> constructor;
        try {
          if (c == 0)
            constructor = clazz.getDeclaredConstructor(Scanner.class,
                Integer.TYPE);
          else if (c == 1)
            constructor = clazz.getDeclaredConstructor(Scanner.class);
          else
            constructor = clazz.getDeclaredConstructor();
        } catch (Exception e) {
          continue;
        }
        try {
          for (int i = 0; i < result.length; i++) {
            if (c == 0)
              result[i] = constructor.newInstance(this, i);
            else if (c == 1)
              result[i] = constructor.newInstance(this);
            else
              result[i] = constructor.newInstance();
          }
        } catch (Exception e) {
          throw new RuntimeException(e);
        }
        return result;
      }
      throw new RuntimeException("Constructor not found");
    }

    public Collection<Integer> wrap(int[] as) {
      ArrayList<Integer> ans = new ArrayList<Integer>();
      for (int i : as)
        ans.add(i);
      return ans;
    }

    public int[] unwrap(Collection<Integer> collection) {
      int[] vals = new int[collection.size()];
      int index = 0;
      for (int i : collection)
        vals[index++] = i;
      return vals;
    }

    int testCases = Integer.MIN_VALUE;

    boolean testCases() {
      if (testCases == Integer.MIN_VALUE) {
        testCases = nextInt();
      }
      return --testCases >= 0;
    }
  }

  static class SuperWriter {

    private final PrintWriter writer;

    public SuperWriter(OutputStream outputStream) {
      writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
    }

    public SuperWriter(Writer writer) {
        this.writer = new PrintWriter(writer);
    }

    public void close() {
        writer.flush();
        writer.close();
    }

    public void printLine(String line) {
      writer.println(line);
      if (!SHOULD_BUFFER_OUTPUT) {
        writer.flush();
      }
    }

    public void printLine(int... vals) {
      if (vals.length == 0) {
        writer.println();
      } else {
        writer.print(vals[0]);
        for (int i = 1; i < vals.length; i++)
          writer.print(" ".concat(String.valueOf(vals[i])));
        writer.println();
      }
      if (!SHOULD_BUFFER_OUTPUT) {
        writer.flush();
      }
    }

    public void printLine(long... vals) {
      if (vals.length == 0) {
        writer.println();
      } else {
        writer.print(vals[0]);
        for (int i = 1; i < vals.length; i++)
          writer.print(" ".concat(String.valueOf(vals[i])));
        writer.println();
      }
      if (!SHOULD_BUFFER_OUTPUT) {
        writer.flush();
      }
    }

    public void printLine(double... vals) {
      if (vals.length == 0) {
        writer.println();
      } else {
        writer.print(vals[0]);
        for (int i = 1; i < vals.length; i++)
          writer.print(" ".concat(String.valueOf(vals[i])));
        writer.println();
      }
      if (!SHOULD_BUFFER_OUTPUT) {
        writer.flush();
      }
    }

    public void printLine(int prec, double... vals) {
      if (vals.length == 0) {
        writer.println();
      } else {
        String precision = "%." + prec + "f";
        writer.print(String.format(precision, vals[0]).replace(',', '.'));
        precision = " " + precision;
        for (int i = 1; i < vals.length; i++)
          writer.print(String.format(precision, vals[i]).replace(',', '.'));
        writer.println();
      }
      if (!SHOULD_BUFFER_OUTPUT) {
        writer.flush();
      }
    }

    public <E> void printLine(Collection<E> vals) {
      if (vals.size() == 0) {
        writer.println();
      } else {
        int i = 0;
        for (E val : vals) {
          if (i++ == 0) {
            writer.print(val.toString());
          } else {
            writer.print(" ".concat(val.toString()));
          }
        }
        writer.println();
      }
      if (!SHOULD_BUFFER_OUTPUT) {
        writer.flush();
      }
    }

    public void printSimple(String value) {
      writer.print(value);
      if (!SHOULD_BUFFER_OUTPUT) {
        writer.flush();
      }
    }

    public boolean ifZeroExit(Number... values) {
    	for (Number number : values) {
    		if (number.doubleValue() != 0.0d || number.longValue() != 0) {
    			return false;
    		}
    	}
    	close();
    	System.exit(0);
    	return true;
    }
  }


  public static void main(String[] args) {
    main();
    sw.close();
  }
}