poj-2342 Anniversary party（树形DP入门）

题目链接：http://poj.org/problem?id=2342

                                                                                                                                        Anniversary party

Time Limit: 1000MS Memory Limit: 65536KTotal Submissions: 6060 Accepted: 3488

Description

There is going to be a party to celebrate the 80-th Anniversary of the Ural State University. The University has a hierarchical structure of employees. It means that the supervisor relation forms a tree rooted at the rector V. E. Tretyakov. In order to make the party funny for every one, the rector does not want both an employee and his or her immediate supervisor to be present. The personnel office has evaluated conviviality of each employee, so everyone has some number (rating) attached to him or her. Your task is to make a list of guests with the maximal possible sum of guests' conviviality ratings.

Input

Employees are numbered from 1 to N. A first line of input contains a number N. 1 <= N <= 6 000. Each of the subsequent N lines contains the conviviality rating of the corresponding employee. Conviviality rating is an integer number in a range from -128 to 127. After that go N – 1 lines that describe a supervisor relation tree. Each line of the tree specification has the form:
L K
It means that the K-th employee is an immediate supervisor of the L-th employee. Input is ended with the line
0 0

Output

Output should contain the maximal sum of guests' ratings.

Sample Input

711111111 32 36 47 44 53 50 0

Sample Output

5

题意：有n个员工，每个员工都有一个权值（可为负）。然后有n-1条语句，每条两个数字i,j，表示j是i的上司。  从这几个人中选出几个人，要求相互之间不能有直接上下级关系，求最大的权值。注意可以一个人都不选，结果为0.

思路：一看就是树形DP，因为员工之间是一个树的关系。

代码：

#include <iostream>#include <cstdio>#include <cstring>#include <algorithm>using namespace std;#define N 6050#define minn -(1<<25)struct Tree{    int val,next;} edge[N];int flag[N],head[N];int dp[2][N];int cnt;void addedge(int s,int e){    edge[cnt].val=e;    edge[cnt].next=head[s];    head[s]=cnt++;}void dfs(int node){    for(int i=head[node]; i!=-1; i=edge[i].next)    {        int val=edge[i].val;        dfs(val);        dp[1][node]=max(dp[1][node],dp[1][node]+dp[0][val]);        dp[0][node]+=max(dp[1][val],dp[0][val]);    }}int main(){    int n,s,e,m;    while(~scanf("%d %d",&n,&dp[1][1])&&(n+dp[1][1]))    {        cnt=0;        for(int i=2; i<=n; i++)            scanf("%d",&dp[1][i]);        memset(head,-1,sizeof(head));        memset(flag,0,sizeof(flag));        memset(dp[0],0,sizeof(dp[0]));        for(int i=1; i<n; i++)        {            scanf("%d %d",&e,&s);            flag[e]=1;            addedge(s,e);        }        for(int i=1; i<=n; i++)            if(!flag[i])            {                m=i;                break;            }        memset(flag,0,sizeof(flag));        dfs(m);        int maxn=minn;        if(maxn<dp[1][m])            maxn=dp[1][m];        if(maxn<dp[0][m])            maxn=dp[0][m];            printf("%d\n",maxn);    }    return 0;}