HDU-4612 Warm up 边双连通分量+缩点+最长链

  题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=4612

  简单图论题,先求图的边双连通分量,注意,此题有重边(admin还逗比的说没有重边),在用targan算法求的时候,处理反向边需要标记边,然后缩点,在树上求最长链。。

  此题在比赛的时候,我的模板数组开小,WA一下午,sd。。。。

  1 //STATUS:C++_AC_734MS_37312KB
  2 #include <functional>
  3 #include <algorithm>
  4 #include <iostream>
  5 //#include <ext/rope>
  6 #include <fstream>
  7 #include <sstream>
  8 #include <iomanip>
  9 #include <numeric>
 10 #include <cstring>
 11 #include <cassert>
 12 #include <cstdio>
 13 #include <string>
 14 #include <vector>
 15 #include <bitset>
 16 #include <queue>
 17 #include <stack>
 18 #include <cmath>
 19 #include <ctime>
 20 #include <list>
 21 #include <set>
 22 #include <map>
 23 #pragma comment(linker,"/STACK:102400000,102400000")
 24 using namespace std;
 25 //using namespace __gnu_cxx;
 26 //define
 27 #define pii pair<int,int>
 28 #define mem(a,b) memset(a,b,sizeof(a))
 29 #define lson l,mid,rt<<1
 30 #define rson mid+1,r,rt<<1|1
 31 #define PI acos(-1.0)
 32 //typedef
 33 typedef __int64 LL;
 34 typedef unsigned __int64 ULL;
 35 //const
 36 const int N=200010,M=2000010;
 37 const int INF=0x3f3f3f3f;
 38 const int MOD=100000,STA=8000010;
 39 const LL LNF=1LL<<60;
 40 const double EPS=1e-8;
 41 const double OO=1e15;
 42 const int dx[4]={-1,0,1,0};
 43 const int dy[4]={0,1,0,-1};
 44 const int day[13]={0,31,28,31,30,31,30,31,31,30,31,30,31};
 45 //Daily Use ...
 46 inline int sign(double x){return (x>EPS)-(x<-EPS);}
 47 template<class T> T gcd(T a,T b){return b?gcd(b,a%b):a;}
 48 template<class T> T lcm(T a,T b){return a/gcd(a,b)*b;}
 49 template<class T> inline T lcm(T a,T b,T d){return a/d*b;}
 50 template<class T> inline T Min(T a,T b){return a<b?a:b;}
 51 template<class T> inline T Max(T a,T b){return a>b?a:b;}
 52 template<class T> inline T Min(T a,T b,T c){return min(min(a, b),c);}
 53 template<class T> inline T Max(T a,T b,T c){return max(max(a, b),c);}
 54 template<class T> inline T Min(T a,T b,T c,T d){return min(min(a, b),min(c,d));}
 55 template<class T> inline T Max(T a,T b,T c,T d){return max(max(a, b),max(c,d));}
 56 //End
 57 
 58 struct Edge{
 59     int u,v;
 60 }e[M],e2[M];
 61 int first2[N],next2[M],mt2;
 62 //bool iscut[M];
 63 int first[N],next[M],pre[N],low[N],bccno[N];
 64 int n,m,mt,bcnt,dfs_clock;
 65 stack<int> s;
 66 
 67 int T;
 68 int vis[N];
 69 
 70 void adde(int a,int b)
 71 {
 72     e[mt].u=a;e[mt].v=b;
 73     next[mt]=first[a];first[a]=mt++;
 74     e[mt].u=b;e[mt].v=a;
 75     next[mt]=first[b];first[b]=mt++;
 76 }
 77 void adde2(int a,int b)
 78 {
 79     e2[mt2].u=a;e2[mt2].v=b;
 80     next2[mt2]=first2[a];first2[a]=mt2++;
 81     e2[mt2].u=b;e2[mt2].v=a;
 82     next2[mt2]=first2[b];first2[b]=mt2++;
 83 }
 84 
 85 void dfs(int u,int fa)
 86 {
 87     int i,v;
 88     pre[u]=low[u]=++dfs_clock;
 89     s.push(u);
 90     int cnt=0;
 91     for(i=first[u];i!=-1;i=next[i]){
 92         v=e[i].v;
 93         if(!pre[v]){
 94             dfs(v,u);
 95             low[u]=Min(low[u],low[v]);
 96           //  if(low[v]>pre[u])iscut[i]=true;   //存在割边
 97         }
 98         else if(fa==v){  //反向边更新
 99             if(cnt)low[u]=Min(low[u],pre[v]);
100             cnt++;
101         }
102         else low[u]=Min(low[u],pre[v]);
103     }
104     if(low[u]==pre[u]){  //充分必要条件
105         int x=-1;
106         bcnt++;
107         while(x!=u){
108             x=s.top();s.pop();
109             bccno[x]=bcnt;
110         }
111     }
112 }
113 
114 void find_bcc()
115 {
116     int i;
117     bcnt=dfs_clock=0;//mem(iscut,0);
118     mem(pre,0);mem(bccno,0);
119     for(i=1;i<=n;i++){
120         if(!pre[i])dfs(i,-1);
121     }
122 }
123 
124 int hig;
125 int dfs2(int u,int p)
126 {
127     int max1=0,max2=0;
128     for (int i=first2[u];i!=-1;i=next2[i])
129     {
130         int v=e2[i].v;
131         if (v==p) continue;
132         int tmp=dfs2(v,u)+1;
133         if (max1<tmp) max2=max1,max1=tmp;
134         else if (max2<tmp) max2=tmp;
135     }
136     hig=Max(hig,max1+max2);
137     return max1;
138 }
139 
140 int main()
141 {
142   //  freopen("in.txt","r",stdin);
143     int i,j,a,b,tot;
144     while(~scanf("%d%d",&n,&m) && (n || m))
145     {
146         mt=0;mem(first,-1);
147         for(i=0;i<m;i++){
148             scanf("%d%d",&a,&b);
149             adde(a,b);
150         }
151 
152         find_bcc();
153         mem(first2,-1);mt2=0;
154         for(i=0;i<mt;i+=2){
155             if(bccno[e[i].u]!=bccno[e[i].v]){
156                 adde2(bccno[e[i].u],bccno[e[i].v]);
157             }
158         }
159         hig=0;
160         dfs2(1,-1);
161 
162         printf("%d\n",bcnt-1-hig);
163     }
164     return 0;
165 }

 

posted @ 2013-07-28 18:20  zhsl  阅读(289)  评论(0编辑  收藏  举报