• HDU-4738 Caocao's Bridges 边联通分量


      题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=4738

      题意:在有重边的无向图中,求权值最小的桥。

      注意trick就好了,ans为0时输出1,总要有一个人去丢炸弹吧。。。

      1 //STATUS:C++_AC_62MS_8144KB
      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 using namespace std;
     24 #pragma comment(linker,"/STACK:102400000,102400000")
     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=1010;
     37 const int INF=0x3f3f3f3f;
     38 const int MOD=1000000007,STA=8000010;
     39 const LL LNF=1LL<<60;
     40 const double EPS=1e-6;
     41 const double OO=1e60;
     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 /* Edge-Biconnected Component(可以处理重边)
     59   iscut[]为割边集
     60   bccno[]为双连通点集,保存为编号        */
     61 struct Edge{
     62     int u,v,w;
     63 }e[2*N*N];
     64 bool iscut[2*N*N];
     65 int first[N],next[2*N*N],pre[N],low[N],bccno[N];
     66 int n,m,mt,bcnt,dfs_clock;
     67 stack<int> s;
     68 
     69 void adde(int a,int b,int c)
     70 {
     71     e[mt].u=a;e[mt].v=b;e[mt].w=c;
     72     next[mt]=first[a];first[a]=mt++;
     73     e[mt].u=b;e[mt].v=a;e[mt].w=c;
     74     next[mt]=first[b];first[b]=mt++;
     75 }
     76 
     77 void dfs(int u,int fa)
     78 {
     79     int i,v;
     80     pre[u]=low[u]=++dfs_clock;
     81     s.push(u);
     82     int cnt=0;
     83     for(i=first[u];i!=-1;i=next[i]){
     84         v=e[i].v;
     85         if(!pre[v]){
     86             dfs(v,u);
     87             low[u]=Min(low[u],low[v]);
     88             if(low[v]>pre[u])iscut[i]=true;   //存在割边
     89         }
     90         else if(fa==v){  //反向边更新
     91             if(cnt)low[u]=Min(low[u],pre[v]);
     92             cnt++;
     93         }
     94         else low[u]=Min(low[u],pre[v]);
     95     }
     96     if(low[u]==pre[u]){  //充分必要条件
     97         int x=-1;
     98         bcnt++;
     99         while(x!=u){
    100             x=s.top();s.pop();
    101             bccno[x]=bcnt;
    102         }
    103     }
    104 }
    105 
    106 int find_bcc()
    107 {
    108     int i,cnt=0;
    109     bcnt=dfs_clock=0;
    110     mem(pre,0);mem(bccno,0);mem(iscut,0);
    111     for(i=1;i<=n;i++){
    112         if(!pre[i]){cnt++;dfs(i,-1);}
    113     }
    114     return cnt;
    115 }
    116 
    117 int main(){
    118  //   freopen("in.txt","r",stdin);
    119     int i,j,a,b,c,ans,t;
    120     while(~scanf("%d%d",&n,&m) && (n||m))
    121     {
    122         mem(first,-1);mt=0;
    123         for(i=0;i<m;i++){
    124             scanf("%d%d%d",&a,&b,&c);
    125             adde(a,b,c);
    126         }
    127 
    128         t=find_bcc();
    129         if(t>1){
    130             printf("0
    ");
    131             continue;
    132         }
    133 
    134         ans=INF;
    135         for(i=0;i<mt;i++){
    136             if(iscut[i])ans=Min(ans,e[i].w);
    137         }
    138         printf("%d
    ",ans==INF?-1:(ans?ans:1));
    139     }
    140     return 0;
    141 }
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  • 原文地址:https://www.cnblogs.com/zhsl/p/3343816.html
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