GroupBlog

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

#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <algorithm>
#include <climits>
#include <cstring>
#include <string>
#include <set>
#include <map>
#include <queue>
#include <stack>
#include <vector>
#include <list>
#define rep(i,m,n) for(i=m;i<=n;i++)
#define rsp(it,s) for(set<int>::iterator it=s.begin();it!=s.end();it++)
#define mod 2009
#define INF 9999999999999
#define vi vector<int>
#define pb push_back
#define mp make_pair
#define fi first
#define se second
#define pi acos(-1.0)
#define pii pair<int,int>
#define Lson L, mid, rt<<1
#define Rson mid+1, R, rt<<1|1
const int maxn=5e2+10;
using namespace std;
typedef  long long ll;
ll gcd(ll p,ll q){return q==0?p:gcd(q,p%q);}
ll qpow(ll p,ll q){ll f=1;while(q){if(q&1)f=f*p;p=p*p;q>>=1;}return f;}
ll my_min(ll x,ll y){ return x>y?y:x;};

int main()
{
	int m;
	char str[100];
	while(scanf("%d",&m)!=EOF)
	{
		int hour;
		int sec;
		scanf("%s",str);
		hour = (str[0]-'0')*10+(str[1]-'0');
		sec  = (str[3]-'0')*10+(str[4]-'0');
		if(m==12)
		{
			if(hour==0)
			{
				str[1] = '1';	
			}
			else if(hour > 12)
			{
				if(str[1]=='0')
				{
					str[0]='1';
				}
				else
				{
					str[0] = '0';
				}
			}
		}
		else
		{
			if(hour>=24)
			{
				str[0]= '0';
			}
		}
		
		if(sec>=60)
		{
			str[3]='0';	
		} 
		printf("%s\n",str);
	}
    return 0;
}