HDU 1520 Anniversary party（简单树形DP）

Anniversary party

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 2124    Accepted Submission(s): 896

Problem 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 T 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

7 1 1 1 1 1 1 1 1 3 2 3 6 4 7 4 4 5 3 5 0 0

 

Sample Output

5

 

Source

Ural State University Internal Contest October'2000 Students Session

 

Recommend

linle

 

 

简单的树形DP入门题

分别用STL中的vector建了个有向图

然后又用结构体建了个无向图。

两个程序

/*
HDU 1540
简单树形DP
STL中的vector实现链表建树

G++ 125 ms 784K
*/

#include<stdio.h>
#include<string.h>
#include<iostream>
#include<vector>
#include<algorithm>
using namespace std;
const int MAXN=6050;
vector<int>vec[MAXN];
int f[MAXN];
int hap[MAXN];
int dp[MAXN][2];

void dfs(int root)
{
    int len=vec[root].size();
    dp[root][1]=hap[root];
    for(int i=0;i<len;i++)
       dfs(vec[root][i]);
    for(int i=0;i<len;i++)
    {
        dp[root][0]+=max(dp[vec[root][i]][1],dp[vec[root][i]][0]);
        dp[root][1]+=dp[vec[root][i]][0];
    }
}
int main()
{
    //freopen("in.txt","r",stdin);
    //freopen("out.txt","w",stdout);
    int n;
    int a,b;
    while(scanf("%d",&n)!=EOF)
    {
        for(int i=1;i<=n;i++)
        {
            scanf("%d",&hap[i]);
            vec[i].clear();
            f[i]=-1;//树根标记
            dp[i][0]=dp[i][1]=0;
        }
        while(scanf("%d%d",&a,&b))
        {
            if(a==0&&b==0)break;
            f[a]=b;
            vec[b].push_back(a);
        }
        a=1;
        while(f[a]!=-1)a=f[a];//找到树根
        dfs(a);
        printf("%d\n",max(dp[a][1],dp[a][0]));


    }
    return 0;
}

/*
HDU 1540
简单树形DP
结构体实现链表建树

G++  109ms  416K
*/

#include<stdio.h>
#include<string.h>
#include<algorithm>
using namespace std;
const int MAXN=6010;

struct Node
{
    int v;
    Node *next;
};
Node *head[MAXN];//头指针
Node edge[MAXN*2];//这个要大一点
int tol;//边的总数，也就是edge数组
int dp[MAXN][2];
int hap[MAXN];
bool vis[MAXN];
void init()
{
    tol=0;
    memset(dp,0,sizeof(dp));
    memset(head,NULL,sizeof(head));//初始化头指针
    memset(vis,false,sizeof(vis));
}
void add_edge(int a,int b)//加一条a与b的无向边
{
    edge[tol].v=b;
    edge[tol].next=head[a];
    head[a]=&edge[tol++];

    edge[tol].v=a;
    edge[tol].next=head[b];
    head[b]=&edge[tol++];
}
void dfs(int v)
{
    if(vis[v])return;
    vis[v]=true;
    Node *p=head[v];
    dp[v][1]=hap[v];
    while(p!=NULL)
    {
        if(!vis[p->v])
        {
            dfs(p->v);
            dp[v][0]+=max(dp[p->v][0],dp[p->v][1]);
            dp[v][1]+=dp[p->v][0];
        }
        p=p->next;
    }
}
int main()
{
   // freopen("in.txt","r",stdin);
   // freopen("out.txt","w",stdout);
    int n,a,b;
    while(scanf("%d",&n)!=EOF)
    {
        init();
        for(int i=1;i<=n;i++)
           scanf("%d",&hap[i]);
        while(scanf("%d%d",&a,&b))
        {
            if(a==0&&b==0)break;
            add_edge(a,b);
        }
        //由于建的是无向图，可以任意找个点当树根进行DP
        //但是在搜索中要判重，加个vis数组
        dfs(1);
        printf("%d\n",max(dp[1][0],dp[1][1]));
    }
    return 0;
}