uva624 CD(dp 0-1 背包 打印路径）

给出一个tape的最大时常，再给出一些CD的长度， 问最多能copy多少到tape上，要求打印哪些cd

要打印路径就在计算的时候记录一下前一个是什么， 然后递归打印 。。 注意tape最大时间设置大一点，一开始1000wa了

题目：

CD 

You have a long drive by car ahead. You have a tape recorder, but unfortunately your best music is on CDs. You need to have it on tapes so the problem to solve is: you have a tape N minutes long. How to choose tracks from CD to get most out of tape space and have as short unused space as possible.

Assumptions:

• number of tracks on the CD. does not exceed 20
• no track is longer than N minutes
• tracks do not repeat
• length of each track is expressed as an integer number
• N is also integer

Program should find the set of tracks which fills the tape best and print it in the same sequence as the tracks are stored on the CD

Input 

Any number of lines. Each one contains value N, (after space) number of tracks and durations of the tracks. For example from first line in sample data: N=5, number of tracks=3, first track lasts for 1 minute, second one 3 minutes, next one 4 minutes

Output 

Set of tracks (and durations) which are the correct solutions and string ``sum:" and sum of duration times.

Sample Input 

5 3 1 3 4
10 4 9 8 4 2
20 4 10 5 7 4
90 8 10 23 1 2 3 4 5 7
45 8 4 10 44 43 12 9 8 2

Sample Output 

1 4 sum:5
8 2 sum:10
10 5 4 sum:19
10 23 1 2 3 4 5 7 sum:55
4 10 12 9 8 2 sum:45



代码：

//Wed Jan  1 17:26:55 2014
//Author:Minshik
#include <iostream>
#include <algorithm>
#include <cstring>
#include <cstdio>
#include <string>
#include <vector>
#include <set>
#include <stack>
#include <queue>
#include <deque>
#include <memory.h>
#include <cctype>
using namespace std;

int tape,tn;
int tracks[50];
int ans[2000];
int rec[2000][2000];
void printlol(int n,int c)
{
    if(n==0) return ;
    if(n==1 && rec[n][c]>0){printf("%d ",rec[n][c]);return;}

    if(rec[n][c]>0)
    {
        printlol(n-1,c-tracks[n]);
        printf("%d ",tracks[n]);
    }
    else
        printlol(n-1,c);
}
int main()
{
    while(cin>>tape>>tn)
    {
        for(int i=1;i<=tn;i++)
        {
            cin>>tracks[i];
        }

        for(int i=1;i<=tn;i++)
        {
            for(int v=tape;v>=0;v--)
            {
                rec[i][v]=0;
                if(v>=tracks[i])                //注意不要少等号
                {
                    //ans[v] = max(ans[v],ans[v-tracks[i]]+tracks[i]);
                    if(ans[v]<ans[v-tracks[i]]+tracks[i])
                    {
                        ans[v] = ans[v-tracks[i]]+tracks[i];
                        rec[i][v] = tracks[i];
                    }
                }
            }
        }
        printlol( tn,tape );

        cout<<"sum:"<<ans[tape]<<endl;
        for(int i=0;i<=tape;i++)
        {
            ans[i]=0;
        }
        memset(rec,0,sizeof(rec));
    }

    return 0;
}