H - Tickets

Jesus, what a great movie! Thousands of people are rushing to the cinema. However, this is really a tuff time for Joe who sells the film tickets. He is wandering when could he go back home as early as possible. 
A good approach, reducing the total time of tickets selling, is let adjacent people buy tickets together. As the restriction of the Ticket Seller Machine, Joe can sell a single ticket or two adjacent tickets at a time. 
Since you are the great JESUS, you know exactly how much time needed for every person to buy a single ticket or two tickets for him/her. Could you so kind to tell poor Joe at what time could he go back home as early as possible? If so, I guess Joe would full of appreciation for your help.

InputThere are N(1<=N<=10) different scenarios, each scenario consists of 3 lines: 
1) An integer K(1<=K<=2000) representing the total number of people; 
2) K integer numbers(0s<=Si<=25s) representing the time consumed to buy a ticket for each person; 
3) (K-1) integer numbers(0s<=Di<=50s) representing the time needed for two adjacent people to buy two tickets together. 
OutputFor every scenario, please tell Joe at what time could he go back home as early as possible. Every day Joe started his work at 08:00:00 am. The format of time is HH:MM:SS am|pm. 
Sample Input

2
2
20 25
40
1
8

Sample Output

08:00:40 am
08:00:08 am

#include <iostream>
#include <vector>
#include <algorithm>
#include <string>
#include <cstdio>
#include <cstring>
#include <fstream>
#include <sstream>
using namespace std;
#define MAXN 2003
/*
求解买票的最短时间，可以单独买票可以两个人合买，给出所有人单独买票和两个人合伙所需时间，最后
输出时间注意一下格式即可
一开始想的是区间DP，发现不对。
dp[n] = max(dp[n-1]+a[n],dp[n-2]+a[n-1 到1])
*/
int dp[MAXN],a[MAXN],b[MAXN];//a是单独买，b是两人一起！
void Print(int time)
{
    int hour = time/3600,minute = time/60%60,second = time%60;
    bool am = (hour<4)?true:false;
    if(!am) hour = (8+hour)%12;
    else hour = 8+hour;
    if(hour<10)
        printf("0%d:",hour);
    else
        printf("%d:",hour);
    if(minute<10)
        printf("0%d:",minute);
    else
        printf("%d:",minute);
    if(second<10)
        printf("0%d ",second);
    else
        printf("%d ",second);
    if(am)
        printf("am\n");
    else
        printf("pm\n");
}
int main()
{
    int n,k;
    scanf("%d",&n);
    while(n--)
    {
        scanf("%d",&k);
        for(int i=1;i<=k;i++)
            scanf("%d",&a[i]);
        for(int i=1;i<k;i++)
            scanf("%d",&b[i]);
        dp[1] = a[1];
        for(int i=2;i<=k;i++)
            dp[i] = min(dp[i-1]+a[i],dp[i-2]+b[i-1]);
        Print(dp[k]);
    }
}