HDU 1520 Anniversary party
2016-04-02 21:03
417 查看
题意:每个节点有权值,子节点和父节点不能同时选,问最后能选的最大价值是多少
思路:树形DP入门,由于子节点和父节点不能同时选,那么决策其实就一目了然,对于第i个结点,选还是不选。dp[i][0]为不选取第i个结点时候的最大价值,dp[i][1]为选第i结点的最大价值,那么dp[i][0]+=max(dp[j][1],dp[j][0]),不选第i个结点的时候意味着你可能选了j结点,或者j结点也不选,dp[i][1]+=dp[j][0],j选了i就不能选
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
Sample Output
思路:树形DP入门,由于子节点和父节点不能同时选,那么决策其实就一目了然,对于第i个结点,选还是不选。dp[i][0]为不选取第i个结点时候的最大价值,dp[i][1]为选第i结点的最大价值,那么dp[i][0]+=max(dp[j][1],dp[j][0]),不选第i个结点的时候意味着你可能选了j结点,或者j结点也不选,dp[i][1]+=dp[j][0],j选了i就不能选
#include <cstdio> #include <queue> #include <cstring> #include <iostream> #include <cstdlib> #include <algorithm> #include <vector> #include <map> #include <string> #include <set> #include <ctime> #include <cmath> #include <cctype> using namespace std; #define maxn 6050 #define LL long long int cas=1,T; vector<int> e[maxn]; int f[maxn]; int a[maxn]; int dp[maxn][2]; void dfs(int u) { dp[u][1]=a[u]; for (int i = 0;i<e[u].size();i++) { int v = e[u][i]; dfs(v); dp[u][0]+=max(dp[v][1],dp[v][0]); dp[u][1]+=dp[v][0]; } } int main() { int n; while (scanf("%d",&n)!=EOF) { for (int i = 1;i<=n;i++) { scanf("%d",&a[i]); e[i].clear(); f[i]=-1; dp[i][0]=dp[i][1]=0; } int x,y; while (scanf("%d%d",&x,&y)&&x&&y) { f[x]=y; e[y].push_back(x); } int temp = 1; while (f[temp]!=-1) temp=f[temp]; dfs(temp); printf("%d\n",max(dp[temp][1],dp[temp][0])); } //freopen("in","r",stdin); //scanf("%d",&T); //printf("time=%.3lf",(double)clock()/CLOCKS_PER_SEC); return 0; }
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
相关文章推荐
- TimesTen的列压缩功能
- April Fools Day Contest 2016 D. Rosetta Problem
- POJ 1700 过河坐船最短时间问题
- Linux进阶之bash编程四(内置变量)
- Linux学习之基本概念
- 2016腾讯模拟试题编程第二道
- acdream 1409 Musical 状压DP
- LeetCode题解--4. Median of Two Sorted Arrays
- Linux学习笔记8
- hdoj 夹角有多大(题目已修改,注意读题) 2076 (数学&转换)
- JAVA_基本LDAP操作实例
- js设计模式-门面模式
- JavaScript:对Dom的操作
- This version of the rendering library is more recent than your version of ADT plug-in. Please update
- This version of the rendering library is more recent than your version of ADT plug-in. Please update
- 咩咩咩~原来白羊是这样的!!
- 苹果开发工具:Xcode和Interface Builder
- dubbo管理控制台
- ssh 证书方式远程登陆linux主机
- IOS 使用Interface Builder开发界面入门与技巧