HDU 3849 无向图的割边

By Recognizing These Guys, We Find Social Networks Useful

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 125536/65536 K (Java/Others)
Total Submission(s): 2319    Accepted Submission(s): 603

Problem Description

Social Network is popular these days.The Network helps us know about those guys who we are following intensely and makes us keep up our pace with the trend of modern times.
But how?
By what method can we know the infomation we wanna?In some websites,maybe Renren,based on social network,we mostly get the infomation by some relations with those "popular leaders".It seems that they know every lately news and are always online.They are alway publishing breaking news and by our relations with them we are informed of "almost everything".
(Aha,"almost everything",what an impulsive society!)
Now,it‘s time to know what our problem is.We want to know which are the key relations make us related with other ones in the social network.
Well,what is the so-called key relation?
It means if the relation is cancelled or does not exist anymore,we will permanently lose the relations with some guys in the social network.Apparently,we don‘t wanna lose relations with those guys.We must know which are these key relations so that we can maintain these relations better.
We will give you a relation description map and you should find the key relations in it.
We all know that the relation bewteen two guys is mutual,because this relation description map doesn‘t describe the relations in twitter or google+.For example,in the situation of this problem,if I know you,you know me,too.

Input

The input is a relation description map.
In the first line,an integer t,represents the number of cases(t <= 5).
In the second line,an integer n,represents the number of guys(1 <= n <= 10000) and an integer m,represents the number of relations between those guys(0 <= m <= 100000).
From the second to the (m + 1)the line,in each line,there are two strings A and B(1 <= length[a],length[b] <= 15,assuming that only lowercase letters exist).
We guanrantee that in the relation description map,no one has relations with himself(herself),and there won‘t be identical relations(namely,if "aaa bbb" has already exists in one line,in the following lines,there won‘t be any more "aaa bbb" or "bbb aaa").
We won‘t guarantee that all these guys have relations with each other(no matter directly or indirectly),so of course,maybe there are no key relations in the relation description map.

Output

In the first line,output an integer n,represents the number of key relations in the relation description map.
From the second line to the (n + 1)th line,output these key relations according to the order and format of the input.

Sample Input

1

4 4

saerdna aswmtjdsj

aswmtjdsj mabodx

mabodx biribiri

aswmtjdsj biribiri

Sample Output

1

saerdna aswmtjdsj

题目意思:

给你n,m表示一个图的n个点,m条边。   下面m行为  x ,y即x和y之间有条边,求割边,2个坑点:若图不连通输出0;若有多条割边按输入先后顺序输出,而且x,y顺序也和输入时一致   (好坑。。。)

思路:

求割边就不多说了,网上都有。发发牢骚。。。这道题在我last submit中一版多才AC。。题目中好像没说不连通输出0啊。。。表示很无语。。

代码:

  1 #include <cstdio>
  2 #include <cstring>
  3 #include <string>
  4 #include <iostream>
  5 #include <algorithm>
  6 #include <vector>
  7 #include <queue>
  8 #include <stack>
  9 #include <map>
 10 using namespace std;
 11 #define N 10005
 12
 13 struct node{
 14     int x, y, id, id1, id2;
 15 }ans[N];
 16
 17 struct mem{
 18     int y, id, id1, id2;
 19 };
 20
 21 vector<mem>ve[N];
 22 map<string,int>ma;
 23 map<int,string>mb;
 24 int low[N], dfn[N];
 25 int visited[N];
 26 int n, m, dfn_clock;
 27 int nu;
 28
 29 void init(){
 30     for(int i=0;i<=n;i++) ve[i].clear();
 31     ma.clear();mb.clear();
 32     memset(dfn,-1,sizeof(dfn));
 33     memset(visited,0,sizeof(visited));
 34 }
 35
 36 void dfs(int u,int fa){
 37     int i, j, k, v;
 38     node p;
 39     mem q;
 40     //printf("1111111111\n");
 41     low[u]=dfn[u]=dfn_clock++;
 42
 43     visited[u]=1;
 44     for(i=0;i<ve[u].size();i++){
 45         q=ve[u][i];
 46         if(q.y==fa) continue;
 47     //    printf("%d\n",v);
 48         if(!visited[q.y]){
 49             dfs(q.y,u);
 50             low[u]=min(low[u],low[q.y]);
 51             if(low[q.y]>dfn[u]) {
 52                 p.x=u;p.y=q.y;p.id=q.id;p.id1=q.id1;p.id2=q.id2;
 53                 ans[nu++]=p;
 54             }
 55         }
 56         else low[u]=min(low[u],dfn[q.y]);
 57
 58     }
 59 }
 60
 61 bool cmp(node a,node b){
 62     return a.id<b.id;
 63 }
 64
 65 main()
 66 {
 67     int t, i, j, k, id;
 68     char s1[200], s2[200];
 69     mem p;
 70     cin>>t;
 71     while(t--){
 72         scanf("%d %d",&n,&m);
 73         init();k=1;id=1;
 74         while(m--){
 75             scanf("%s%s",s1,s2);
 76             if(ma[s1]==0) ma[s1]=k,mb[k]=s1,++k;
 77             if(ma[s2]==0) ma[s2]=k,mb[k]=s2,++k;
 78             int x=ma[s1], y=ma[s2];
 79             p.y=ma[s2];p.id=id++;p.id1=1;p.id2=2;
 80             ve[x].push_back(p);
 81             p.y=ma[s1];p.id=id++;p.id1=2;p.id2=1;
 82             ve[y].push_back(p);
 83         }
 84
 85         dfn_clock=nu=0;
 86          dfs(1,-1);
 87          int f=1;
 88         for(i=1;i<=n;i++) {
 89             if(dfn[i]==-1){
 90             break;
 91             }
 92         }
 93         if(i<=n){
 94             printf("0\n");continue;
 95         }
 96         sort(ans,ans+nu,cmp);
 97         printf("%d\n",nu);
 98         for(i=0;i<nu;i++){
 99             if(ans[i].id1<ans[i].id2)
100             cout<<mb[ans[i].x]<<" "<<mb[ans[i].y]<<endl;
101             else cout<<mb[ans[i].y]<<" "<<mb[ans[i].x]<<endl;
102         }
103     }
104 }
时间: 2024-12-17 22:45:23

HDU 3849 无向图的割边的相关文章

HDU 3849 无向图求桥

By Recognizing These Guys, We Find Social Networks Useful Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 125536/65536 K (Java/Others)Total Submission(s): 2563    Accepted Submission(s): 671 Problem Description Social Network is popular these

HDU 3849 By Recognizing These Guys, We Find Social Networks Useful(双连通)

HDU 3849 By Recognizing These Guys, We Find Social Networks Useful 题目链接 题意:说白了就是求一个无向图的桥 思路:字符串hash掉,然后双连通.要注意特判一下假设不是一个连通块.那么答案是0 代码: #include <cstdio> #include <cstring> #include <string> #include <vector> #include <map> us

hdu 2242 无向图/求用桥一分为二后使俩个bcc点权值和之差最小并输出 /缩点+2次新图dfs

题意如标题所述, 先无向图缩点,统计出每个bcc权,建新图,然后一遍dfs生成树,标记出每个点(新图)以及其子孙的权值之和.这样之后就可以dfs2来枚举边(原图的桥),更新最小即可. 调试了半天!原来是建老图时候链式前向星和新图的vector<vector< int>>俩种存图搞乱了!!!不可原谅!哎!愚蠢!愚不可及!提交后1A. 后来百度之后,发现说是用树形dp,看了代码解法,竟然和我的是一样的算法..原来这种算法可以叫树形dp...的确有点dp味道..不过感觉不太浓.. 以后多

ZOJ 2588 Burning Bridges(无向图求割边)

ZOJ 2588 Burning Bridges 链接:http://acm.zju.edu.cn/onlinejudge/showProblem.do?problemCode=2588 题意:给定一个无向图连通图,(其中可能有重边),要求去掉一条边之后,使得整个图不再连通.输出这些符合条件的边的序号. 思路:这就是一个简单的无向图求割边,需要注意的是这个无向图有重边,重边一定不是割边. 代码: /*========================================= 无向图求割点

连通性2 无向图的割边 (cut edge)

这是DFS系列的第二篇 割边的概念 In graph theory, a bridge, isthmus, cut-edge, or cut arc is an edgeof a graph whose deletion increases its number of connected components. Equivalently, an edge is a bridge if and only if it is not contained in any cycle. A graph is

zoj2588(连通分量,求解无向图的割边)

B - Burning Bridges Time Limit:5000MS     Memory Limit:32768KB     64bit IO Format:%lld & %llu Submit Status Description Ferry Kingdom is a nice little country located on N islands that are connected by M bridges. All bridges are very beautiful and a

hdu 4738 无向图缩点断桥 // 细节坑题

Caocao's Bridges 题意:给个无向图,求出边权最小的桥. 一看,直接缩点,若无桥,输出-1,有桥,遍历下边,更新最小..分分钟搞定,以为IA的..一交wa... 坑点:1:若原图不连通,则无须派人去!输出0!: 2:若桥的权是0,则还有派一个人把炸弹拿去,输出1! 3:有重边.(按多条边算). 哎!记住这个教训!以后做题 1:考虑边界或者特殊数据!(边权为0!n==1等) 2:考虑原图连通性!(这次考虑了原图就强连通..没有考虑根本不连通!) 3:重边.这题的重边是按重边算(不是一

【有重边与无重边的无向图的割边求法】

无向图无重边:也就每两个顶点之间最多有一条边相连[也就是根据顶点编号即可确定边][如下] 无向图有重边如:顶点1与顶点2有两条或更多的边直接相连[也就是不能根据顶点编号来确定边][如下] 首先介绍无重边的无向图的割边求法:由于无重边的无向图中可以根据顶点来确定边,所以函数中的参数 u 和 fa  都是顶点. 1 #include <stdio.h> 2 #include <string.h> 3 #include <vector> 4 using namespace s

HDU 4587 无向图的割点

TWO NODES Time Limit: 24000/12000 MS (Java/Others)    Memory Limit: 65535/32768 K (Java/Others)Total Submission(s): 1137    Accepted Submission(s): 333 Problem Description Suppose that G is an undirected graph, and the value of stab is defined as fol