# 题目

## 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.

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

5

# 题解

`dp[i][1]` 表示选取第 `i` 个结点所能达到的以其为根的树的最大值
`dp[i][0]` 表示不选取第 `i` 个结点所能达到的以其为根的树的最大值

`dp[i][0] += dp[j][1]`
`dp[i][1] += max(dp[j][1],dp[j][0])`

# 代码

```/*
By:OhYee
Github:OhYee
Blog:http://www.oyohyee.com/
Email:oyohyee@oyohyee.com

かしこいかわいい？
エリーチカ！

*/
#include <cstdio>
#include <algorithm>
#include <cmath>
#include <cstring>
#include <iostream>
#include <map>
#include <set>
#include <list>
#include <queue>
#include <stack>
#include <string>
#include <vector>
#include <bitset>
#include <functional>

using namespace std;

const int maxn = 6005;

int happy[maxn];
int father[maxn];
vector<int> children[maxn];

int dp[maxn][2];

void tree(int t) {
for(size_t i = 0;i < children[t].size();i++) {
int &child = children[t][i];
tree(child);
dp[t][1] += dp[child][0];
dp[t][0] += max(dp[child][1],dp[child][0]);
}
}

bool Do() {
int n;
if(!(cin >> n))
return false;

memset(dp,0,sizeof(dp));

for(int i = 1;i <= n;i++) {
cin >> dp[i][1];
children[i].clear();
}

while(1) {
int a,b;
cin >> a >> b;
if(a == 0 && b == 0)
break;
father[a] = b;
children[b].push_back(a);
}

int root = 1;
while(father[root])
root = father[root];

tree(root);
cout << max(dp[root][0],dp[root][1]) << endl;
return true;
}

int main() {
while(Do());
return 0;
}
```