• 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 }
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  • 原文地址:https://www.cnblogs.com/huangguodong/p/4731275.html
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