HDU 2602

Description

Many years ago , in Teddy’s hometown there was a man who was called “Bone Collector”. This man like to collect varies of bones , such as dog’s , cow’s , also he went to the grave …  The bone collector had a big bag with a volume of V ,and along his trip of collecting there are a lot of bones , obviously , different bone has different value and different volume, now given the each bone’s value along his trip , can you calculate out the maximum of the total value the bone collector can get ? 
 

Input

The first line contain a integer T , the number of cases.  Followed by T cases , each case three lines , the first line contain two integer N , V, (N <= 1000 , V <= 1000 )representing the number of bones and the volume of his bag. And the second line contain N integers representing the value of each bone. The third line contain N integers representing the volume of each bone.
 

Output

One integer per line representing the maximum of the total value (this number will be less than 2 31).
 

Sample Input

1
5 10
1 2 3 4 5
5 4 3 2 1
 

Sample Output

14
 
 
 
 
题意:输入N,V。N表示有多少骨头。V表示你的背包有多大。然后输入序列表示每个骨头的价值,再输入序列表示每个骨头的体积。
    要求输出  背包装骨头可以装的最大的价值是多少....
 
 
 
思路:动态规划
 
     如果可以装进背包,就把符合条件且价值最大的装进去
   不可以就不装.....
   这里用d[i][j]表示装第i个骨头时背包里的骨头价值,i表示第几个骨头,j表示背包里的体积.....
 
 
 
    代码如下:
 
 
 1 #include <stdio.h>
 2 #include <string.h>
 3 int n[1005],v[1005],d[1005][1005];
 4 int max(int x,int y)
 5 {
 6     return x>y?x:y;
 7 }
 8 int main()
 9 {
10     int T;
11     scanf("%d",&T);
12     while(T--)
13     {
14         int N,V;
15         scanf("%d%d",&N,&V);
16         for(int i=1;i<=N;i++)
17             scanf("%d",&n[i]);
18         for(int j=1;j<=N;j++)
19             scanf("%d",&v[j]);
20         for(int i=1;i<=N;i++)
21         {
22             for(int j=V;j>=0;j--)
23             {
24                 if(j>=v[i])
25                     d[i][j]=max(d[i-1][j],d[i-1][j-v[i]]+n[i]);
26                 else
27                     d[i][j]=d[i-1][j];
28             }
29         }
30         printf("%d
",d[N][V]);
31 
32     }
33 }
原文地址:https://www.cnblogs.com/huangguodong/p/4731275.html