Broken Clock

题意翻译

现在要你把一个错误的时间,通过改变最少的数字改成合理的。输入第一行为时间是24小时制或12小时制,第二行为错误的时间;输出一行为改正后的时间。

题目描述

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.

输入输出格式

输入格式


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.

输出格式


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.

输入输出样例

输入样例 #1

24
17:30

输出样例 #1

17:30

输入样例 #2

12
17:30

输出样例 #2

07:30

输入样例 #3

24
99:99

输出样例 #3

09:09