hdu3469Watch The Movie【分组背包】二维dp数组

Problem Description

New semester is coming, and DuoDuo has to go to school tomorrow. She decides to have fun tonight and will be very busy after tonight. She like watch cartoon very much. So she wants her uncle to buy some movies and watch with her tonight. Her grandfather gave them L minutes to watch the cartoon. After that they have to go to sleep.
DuoDuo list N piece of movies from 1 to N. All of them are her favorite, and she wants her uncle buy for her. She give a value Vi (Vi > 0) of the N piece of movies. The higher value a movie gets shows that DuoDuo likes it more. Each movie has a time Ti to play over. If a movie DuoDuo choice to watch she won’t stop until it goes to end.
But there is a strange problem, the shop just sell M piece of movies (not less or more then), It is difficult for her uncle to make the decision. How to select M piece of movies from N piece of DVDs that DuoDuo want to get the highest value and the time they cost not more then L.
How clever you are! Please help DuoDuo’s uncle.

 

Input

The first line of the input file contains a single integer t (1 ≤ t ≤ 10), the number of test cases, followed by input data for each test case:
The first line is: N(N <= 100),M(M<=N),L(L <= 1000)
N: the number of DVD that DuoDuo want buy.
M: the number of DVD that the shop can sale.
L: the longest time that her grandfather allowed to watch.
The second line to N+1 line, each line contain two numbers. The first number is the time of the ith DVD, and the second number is the value of ith DVD that DuoDuo rated.

 

Output

Contain one number. (It is less then 2^31.)
The total value that DuoDuo can get tonight.
If DuoDuo can’t watch all of the movies that her uncle had bought for her, please output 0.

 

Sample Input

13 2 1011 1001 29 1

 

Sample Output

3

 

Source

2010 ACM-ICPC Multi-University Training Contest（6）——Host by BIT

 

这个题居然卡了一下午是因为多了一个%  --！

题意：小姑娘开学前晚上看电影只能L分钟，有N个不同的电影可以选择，傲娇老板只恰好卖M张蝶，给出每部电影时长和快乐值，问最大的快乐值是多少

百思不得其解这玩意“组”在哪里？唯一能够想到的是把不同影片看成不同组，那组内各个元素是什么？当然是作为一起选的个数了，这个也是可选个数m~0循环作为第二重循环，第三维当然就是cost[i]~第二维的数据啦

最后既然是要求恰好m个，那么dp[m][i]取最大就好啦

/*************hdu34692016.3.1331MS1748K940 BG++**************/#include <iostream>#include<cstdio>#include<cstring>using namespace std;#define inf 0x3f3f3f3fint dp[102][1005],cost[102],value[102],t,n,m,l;int max(int a,int b){if(a>b)return a;return b;}int main(){   // freopen("cin.txt","r",stdin);    scanf("%d",&t);    while(t--)    {        scanf("%d%d%d",&n,&m,&l);        for(int i=1;i<=n;i++)scanf("%d%d",&cost[i],&value[i]);        for(int i=0;i<=m;i++)            for(int j=0;j<=l;j++)                dp[i][j]=-0x3f3f3f3f;        dp[m][l]=dp[0][0]=0;        for(int i=1;i<=n;i++)            for(int j=m;j>0;j--)                for(int k=cost[i];k<=l;k++)                    dp[j][k]=max(dp[j][k],dp[j-1][k-cost[i]]+value[i]);//printf("i=%d,j=%d,k=%d,dp=%d\n",i,j,k,dp[j][k]);        for(int i=0;i<l;i++)dp[m][l]=max(dp[m][l],dp[m][i]) ;        printf("%d\n",dp[m][l]);    }    return 0;}