zoukankan      html  css  js  c++  java
  • Treasure Hunt I 树形dp ,求出树上的背包

    Description

    Akiba is a dangerous country since a bloodsucker living there. Sometimes the bloodsucker will appear and kill everyone who isn't at his hometown. One day, a brave person named CC finds a treasure map, and he wants to get as much as possible.

    Akiba consists of n towns and n-1 roads. There is a way from each town to any other. Each town contains some treasure values Vi. CC starts from town k(his hometown), at day 0. After m days, the bloodsucker will appear and CC would be killed if he hasn't been back yet, it means CC has m days for hunting the treasure at most. It takes CC Ti days to move from one town to another neighbour town.(Two towns called neighbour if they are the endpoint of one road.) You can assume CC will get the treasure immediately as he arrives at that town. CC wants to obtain as much value as possible, keeping him alive at the same time.

    Input

    There are multiple cases, about 50 cases.
    The first line of each case contains an integer n, indicating there are n towns.
    The following line describe the treasure's value in each town. "V1 V2 ... Vn". Vi is the value of the treasure in ith town. Each value is separated by one blank.
    The next n-1 lines describe the n-1 roads in Akiba. "i j Ti" Means the ith town and the jth town are endpoints of that road. It takes Ti days to get through this road.
    The last line has two integer k and m as described above.

    1<=n<=100, 0<=Vi<=1000 , 1<=Ti<=10
    1<=k<=n, 1<=m<=200
    All the inputs are integers.

    Output

    Just output the max value CC can get, and you should keep CC alive after m days.

    Sample Input

    2
    1 3
    1 2 1
    1 2
    2
    1 3
    2 1 1
    2 1
    2
    3 3
    1 2 1
    2 5

    Sample Output

    4
    3
    6
    ***********************************************************************************************************************************************************
    树上的dp
    ***********************************************************************************************************************************************************
     1 #include<iostream>
     2 #include<string>
     3 #include<cstring>
     4 #include<queue>
     5 #include<cstdio>
     6 #include<cmath>
     7 using namespace std;
     8 bool vis[1001];
     9 int dp[110][220];
    10 typedef pair<int,int>PII;
    11 vector<PII>adj[110];
    12 int val[1001],n,m,k;
    13 void dfs(int u)//树形dp
    14 {
    15     int it,jt,kt;
    16   vis[u]=true;
    17   for(it=0;it<=m;it++)
    18    dp[u][it]=val[u];
    19   for(it=0;it<adj[u].size();it++)
    20   {
    21       int v=adj[u][it].first;
    22       int w=adj[u][it].second;
    23       if(vis[v]==true)continue;
    24       dfs(v);
    25       for(jt=m;jt>=0;jt--)
    26        for(kt=2*w;kt<=jt;kt++)
    27        {
    28          dp[u][jt]=max(dp[u][jt],dp[u][jt-kt]+dp[v][kt-2*w]);
    29        }
    30   }
    31 }
    32 int main()
    33 {
    34     int v,u,w;
    35     while(~scanf("%d",&n))
    36     {
    37         for(int i=0;i<=n;i++)
    38           adj[i].clear();
    39         for(int i=1;i<=n;i++)
    40          scanf("%d",&val[i]);
    41         for(int i=1;i<n;i++)
    42         {
    43            scanf("%d %d %d",&u,&v,&w);
    44            adj[u].push_back(make_pair(v,w));
    45            adj[v].push_back(make_pair(u,w));
    46         }
    47         scanf("%d %d",&k,&m);
    48         memset(vis,false,sizeof(vis));
    49         memset(dp,0,sizeof(dp));
    50         dfs(k);
    51         printf("%d
    ",dp[k][m]);
    52     }
    53 }
    View Code
  • 相关阅读:
    有效解决 iOS The document “(null)” requires Xcode 8.0 or later.
    扫描项目里没有使用的图片mac工具,删除没有使用的图片以减小包的体积
    苹果客服
    那些你不愿说给领导的话
    没有自动联想补齐代码的解决办法
    第三方的使用
    mac系统如何显示和隐藏文件
    导航栏
    svn(http)
    2020Python练习五
  • 原文地址:https://www.cnblogs.com/sdau--codeants/p/3439165.html
Copyright © 2011-2022 走看看