Intel Code Challenge Elimination Round (Div.1 + Div.2, combined) -- A. Broken Clock （贪心）

大大体题意：

有12小时进制和24小时进制的时间，给你一个时间，hh:mm，如果合法 原样输出，否则修改最少的数字 改成合法的时间！

思路：

算不上贪心，想清楚就可以了！   

其中分钟最简单，  如果 大于59  直接输出  0 + 个位数即可！

对于小时来说：

如果是24小时进制的：  如果大于23  直接变成 0 + 个位数！

如果是12小时进制的：  如果等于0 或者大于12    ： 如果是10的倍数 就要变成  10，不是10的倍数 变成 0 + 个位数

合法直接输出即可！

#include <bits/stdc++.h>using namespace std;int main(){    int d;    int h,m;    scanf("%d",&d);    scanf("%d:%d",&h,&m);    if (d == 24){        if (h > 23) printf("0%d:",h%10);        else printf("%02d:",h);        if (m > 59){            printf("0%d",m%10);        }        else printf("%02d",m);    }    else {        if (h > 12 || !h){            if (h % 10 == 0)printf("10:");            else printf("0%d:",h%10);            if (m > 59){            printf("0%d",m%10);            }            else printf("%02d",m);        }else {            printf("%02d:",h);            if (m > 59){            printf("0%d",m%10);            }            else printf("%02d",m);        }    }    puts("");    return 0;}

A. Broken Clock

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

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

2417:30

output

17:30

input

1217:30

output

07:30

input

2499:99

output

09:09