UVA 1292 十二 Strategic game

本文介绍了一种解决特定战略游戏问题的方法,该问题要求在一张形成树状结构的地图上放置最少数量的士兵来观察所有路径。通过深度优先搜索算法进行最小化计算,实现了最优解的寻找。
Strategic game

Time Limit:3000MS     Memory Limit:0KB     64bit IO Format:%lld & %llu

Submit  Status  Practice  UVA 1292

Bob enjoys playing computer games, especially strategic games, but sometimes he cannot find the solution fast enough and then he is very sad. Now he has the following problem. He must defend a medieval city, the roads of which form a tree. He has to put the minimum number of soldiers on the nodes so that they can observe all the edges. Can you help him?

Your program should find the minimum number of soldiers that Bob has to put for a given tree.

For example for the tree:

the solution is one soldier (at the node 1).

 

Input 

The input file contains several data sets in text format. Each data set represents a tree with the following description:
  • the number of nodes
  • the description of each node in the following format:
    node_identifier:(number_of_roads) node_identifier1 node_identifier2 � node_identifiernumber_of_roads
    or
    node_identifier:(0)
The node identifiers are integer numbers between  0 and  n-1, for  n nodes ( 0 < n ≤ 1500). Every edge appears only once in the input data.

 

Output 

The output should be printed on the standard output. For each given input data set, print one integer number in a single line that gives the result (the minimum number of soldiers).

 

Sample Input 

4
0:(1) 1
1:(2) 2 3
2:(0)
3:(0)
5
3:(3) 1 4 2
1:(1) 0
2:(0)
0:(0)
4:(0)

 

Sample Output 

1
2
 1 #include <stdio.h>
 2 #include <string.h>
 3 #include <vector>
 4 #include <algorithm>
 5 using namespace std;
 6 
 7 vector <int> a[1505];
 8 int dp[1505][2],vis[1505];
 9 
10 void dfs(int o)
11 {
12     vis[o]=1;dp[o][0]=0;dp[o][1]=1;
13     for(int i=0;i<a[o].size();i++)
14     {
15         int v=a[o][i];
16         if(vis[v]==1) continue;
17         dfs(v);
18         dp[o][1]=dp[o][1]+min(dp[v][1],dp[v][0]);
19         dp[o][0]=dp[o][0]+dp[v][1];
20     }
21     return;
22 }
23 
24 int main()
25 {
26     int n,m,x,y;
27     int i,j,k;
28     while(scanf("%d",&n)!=EOF)
29     {
30         for(i=0;i<=n;i++)
31             a[i].clear();
32         memset(dp,0,sizeof(dp));
33         memset(vis,0,sizeof(vis));
34         while(n--)
35         {
36             scanf("%d:(%d)",&x,&m);
37             for(i=1;i<=m;i++)
38             {
39                 scanf("%d",&y);
40                 a[x].push_back(y);
41                 a[y].push_back(x);
42             }
43         }
44 
45         dfs(0);
46         printf("%d\n",min(dp[0][1],dp[0][0]));
47     }
48     return 0;
49 }
View Code

 

转载于:https://www.cnblogs.com/cyd308/p/4771597.html

评论
添加红包

请填写红包祝福语或标题

红包个数最小为10个

红包金额最低5元

当前余额3.43前往充值 >
需支付:10.00
成就一亿技术人!
领取后你会自动成为博主和红包主的粉丝 规则
hope_wisdom
发出的红包
实付
使用余额支付
点击重新获取
扫码支付
钱包余额 0

抵扣说明:

1.余额是钱包充值的虚拟货币,按照1:1的比例进行支付金额的抵扣。
2.余额无法直接购买下载,可以购买VIP、付费专栏及课程。

余额充值