• (连通图)Network--POJ--3694


    链接:

    http://poj.org/problem?id=3694

    http://acm.hust.edu.cn/vjudge/contest/view.action?cid=82833#problem/D

    这部分学的不是很好,还需要努力!

    代码:

      1 #include<cstdio>
      2 #include<cstdlib>
      3 #include<cmath>
      4 #include<iostream>
      5 #include<algorithm>
      6 #include<cstring>
      7 #include<vector>
      8 using namespace std;
      9 #define N 100005
     10 
     11 struct Edage{int v, next, used;} e[N<<2];
     12 
     13 int low[N], dfn[N], Head[N], fa[N], Time, cnt;
     14 int IsBridge[N], nbridge;
     15 
     16 void Init(int n)
     17 {
     18     nbridge = Time = cnt = 0;
     19 
     20     for(int i=0; i<=n; i++)
     21     {
     22         Head[i] = -1;
     23         dfn[i] = 0;
     24         IsBridge[i] = 0;
     25     }
     26 }
     27 void Add(int u, int v)
     28 {
     29     e[cnt].v = v;
     30     e[cnt].next = Head[u];
     31     e[cnt].used = false;
     32     Head[u] = cnt++;
     33 }
     34 void Tarjan(int u, int father)
     35 {
     36     int v;
     37 
     38     fa[u] = father;
     39     low[u] = dfn[u] = ++Time;
     40 
     41     for(int j=Head[u]; j!=-1; j=e[j].next)
     42     {
     43         if(!e[j].used)
     44         {
     45             e[j].used = e[j^1].used = true;
     46             v = e[j].v;
     47             if(!dfn[v])
     48             {
     49                 Tarjan(v, u);
     50                 low[u] = min(low[u], low[v]);
     51 
     52                 if(low[v]>dfn[u])
     53                 {
     54                     IsBridge[v] = true;
     55                     nbridge++;
     56                 }
     57             }
     58             else
     59                 low[u] = min(low[u], dfn[v]);
     60         }
     61     }
     62 }
     63 void LCA(int u, int v)
     64 {
     65     if(dfn[u]<dfn[v])
     66         swap(u, v);
     67 
     68     while(dfn[u] > dfn[v])
     69     {
     70         if(IsBridge[u]) nbridge--;
     71         IsBridge[u] = false;
     72         u = fa[u];
     73     }
     74 
     75     while(u!=v)
     76     {
     77         if(IsBridge[u]) nbridge--;
     78         if(IsBridge[v]) nbridge--;
     79         IsBridge[u] = IsBridge[v] = false;
     80         u = fa[u], v = fa[v];
     81     }
     82 }
     83 
     84 int main()
     85 {
     86     int n, m, k=1;
     87     while(scanf("%d%d", &n, &m), n+m)
     88     {
     89         int i, u, v;
     90 
     91         Init(n);
     92         for(i=0; i<m; i++)
     93         {
     94             scanf("%d%d", &u, &v);
     95             Add(u, v);
     96             Add(v, u);
     97         }
     98 
     99         Tarjan(1, 1);
    100 
    101         printf("Case %d:
    ", k++);
    102         scanf("%d", &m);
    103         for(i=0; i<m; i++)
    104         {
    105             scanf("%d%d", &u, &v);
    106             LCA(u, v);
    107             printf("%d
    ", nbridge);
    108         }
    109         printf("
    ");
    110     }
    111     return 0;
    112 }

    代码:

      1 #include <iostream>
      2 #include <cstdlib>
      3 #include <cstdio>
      4 #include <algorithm>
      5 #include <vector>
      6 #include <queue>
      7 #include <cmath>
      8 #include <stack>
      9 #include <cstring>
     10 usingnamespace std;
     11 #define INF 0xfffffff
     12 #define min(a,b) (a<b?a:b)
     13 #define maxn 100005
     14 int m, n, Time, ans;
     15 int dfn[maxn], low[maxn], Father[maxn], bridge[maxn];
     16 vector<int> G[maxn];
     17 
     18 void init()
     19 {
     20     memset(dfn, 0, sizeof(dfn));
     21     memset(low, 0, sizeof(low));
     22     memset(bridge, 0, sizeof(bridge));
     23     memset(Father, 0, sizeof(Father));
     24     Time = ans = 0;
     25 
     26     for(int i=0; i<=n; i++)
     27         G[i].clear();
     28 }
     29 
     30 void Tarjan(int u,int fa)
     31 {
     32     dfn[u] = low[u] = ++Time;
     33     Father[u] = fa;
     34     int len = G[u].size(), v;
     35 
     36     for(int i=0; i<len; i++)
     37     {
     38         v = G[u][i];
     39 
     40         if( !low[v] )
     41         {
     42             Tarjan(v, u);
     43             low[u] = min(low[u], low[v]);
     44 
     45             if(dfn[u] < low[v])
     46             {
     47                 bridge[v] ++;
     48                 ans ++;
     49             }
     50         }
     51         elseif(v != fa)
     52         {
     53             low[u] = min(low[u], dfn[v]);
     54 
     55             if(dfn[u] < low[v])
     56             {
     57                 bridge[v] ++;
     58                 ans --;
     59             }
     60         }
     61 
     62     }
     63 }
     64 void Lca(int a,int b)
     65 {
     66     if(a == b)
     67         return ;
     68 
     69     if(dfn[a] > dfn[b])
     70     {
     71         if( bridge[a] == 1)
     72         {
     73             bridge[a] = 0;
     74             ans --;
     75         }
     76         Lca(Father[a], b);
     77     }
     78     else
     79     {
     80         if(bridge[b] == 1)
     81         {
     82             bridge[b] = 0;
     83             ans --;
     84         }
     85         Lca(a, Father[b]);
     86     }
     87 }
     88 
     89 int main()
     90 {
     91     int cas = 1;
     92     while(scanf("%d %d",&n, &m), m+n)
     93     {
     94         int Q, a, b;
     95         init();
     96         while(m --)
     97         {
     98             scanf("%d %d",&a, &b);
     99             G[a].push_back(b);
    100             G[b].push_back(a);
    101         }
    102 
    103         scanf("%d", &Q);
    104         Tarjan(1, 0);
    105     //    printf("%d
    ", ans);
    106         printf("Case %d:
    ", cas ++);
    107         while(Q --)
    108         {
    109             scanf("%d %d",&a, &b);
    110             Lca(a, b);
    111             printf("%d
    ", ans);
    112         }
    113     }
    114     return0;
    115 }
    116 /*
    117 
    118 4 4
    119 1 2
    120 2 1
    121 2 3
    122 1 4
    123 2
    124 1 2
    125 3 4
    126 
    127   */
    勿忘初心
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  • 原文地址:https://www.cnblogs.com/YY56/p/4710099.html
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