HDU-1520 Anniversary party(树形DP)
Anniversary party
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 9066 Accepted Submission(s):
3896
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
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
比较基础的树形DP
1 #include <cstdio> 2 #include <cstring> 3 #include <cstdlib> 4 #include <queue> 5 #include <stack> 6 #include <vector> 7 #include <iostream> 8 #include "algorithm" 9 using namespace std; 10 typedef long long LL; 11 const int MAX=6005; 12 int n,root; 13 int a[MAX]; 14 int tot; 15 int head[MAX],adj[MAX],next[MAX]; 16 int f[MAX][2]; 17 void addedge(int u,int v){ 18 tot++; 19 adj[tot]=v; 20 next[tot]=head[u]; 21 head[u]=tot; 22 } 23 void init(){ 24 int i,j; 25 int u,v; 26 int t[MAX]; 27 memset(t,0,sizeof(t)); 28 scanf("%d",&n); 29 for (i=1;i<=n;i++) 30 scanf("%d",a+i); 31 for (i=1;i<n;i++) 32 {scanf("%d%d",&v,&u); 33 addedge(u,v); 34 t[v]++; 35 } 36 for (i=1;i<=n;i++) 37 if (t[i]==0) 38 {root=i; 39 break; 40 } 41 memset(f,-1,sizeof(f)); 42 } 43 int dfs(int x,int k){ 44 int i,j; 45 if (f[x][k]!=-1) 46 return f[x][k]; 47 if (k==1) 48 {int y=0; 49 for (i=head[x];i;i=next[i]) 50 y+=dfs(adj[i],0); 51 f[x][k]=a[x]+y; 52 } 53 else 54 {int y=0; 55 for (i=head[x];i;i=next[i]) 56 y+=max(dfs(adj[i],0),dfs(adj[i],1)); 57 f[x][k]=y; 58 } 59 return f[x][k]; 60 } 61 int main(){ 62 freopen ("party.in","r",stdin); 63 freopen ("party.out","w",stdout); 64 init(); 65 printf("%d",max(dfs(root,0),dfs(root,1))); 66 return 0; 67 }