• 可以处理重边的求割点(边)模板


     RT,整理了一个Tarjan求割点(边)的模板,和以往不同的是记录了两条边的idx,遇到相同idx的回边不会再走。这样有重边就不会误判成割点(边)了。

     1 #include <bits/stdc++.h>
     2 using namespace std;
     3 
     4 typedef struct Edge {
     5     int u, v, next;
     6     int id;
     7     bool bridge;
     8 }Edge;
     9 
    10 const int maxn = 100100;
    11 const int maxm = 200100;
    12 int dfn[maxn], low[maxn], vis[maxn];
    13 int head[maxn];
    14 bool cut[maxn];
    15 Edge edge[maxm];
    16 int n, m, rt, ecnt;
    17 int dcnt;
    18 
    19 void init() {
    20     memset(head, -1, sizeof(head));
    21     memset(dfn, 0, sizeof(dfn));
    22     memset(vis, 0, sizeof(vis));
    23     memset(low, 0, sizeof(low));
    24     memset(cut, 0, sizeof(cut));
    25     dcnt = ecnt = 0;
    26 }
    27 
    28 void adde(int u, int v, int id) {
    29     edge[ecnt].u = u; edge[ecnt].v = v; edge[ecnt].id = id;
    30     edge[ecnt].bridge = 0;
    31     edge[ecnt].next = head[u];
    32     head[u] = ecnt++;
    33 }
    34 
    35 void dfs(int u, int id) {
    36     dfn[u] = low[u] = ++dcnt;
    37     vis[u] = 1;
    38     int son = 0;
    39     for(int i = head[u]; ~i; i=edge[i].next) {
    40         int v = edge[i].v;
    41         if(id == edge[i].id) continue;
    42         if(!vis[v]) {
    43             dfs(v, edge[i].id); son++;
    44             low[u] = min(low[u], low[v]);
    45             if((rt == u && son >= 2) || (rt != u && low[v] >= dfn[u])) {
    46                 cut[u] = 1;
    47             }
    48             if(low[v] > dfn[u]) {
    49                 edge[i].bridge = edge[i^1].bridge = 1;
    50             }
    51         } else {
    52             low[u] = min(low[u], dfn[v]);
    53         }
    54     }
    55 }
    56 
    57 int main() {
    58     freopen("in", "r", stdin);
    59     int u, v;
    60     while(~scanf("%d%d",&n,&m)) {
    61         init();
    62         for(int i = 0; i < m; i++) {
    63             scanf("%d%d",&u,&v);
    64             adde(u, v, i); adde(v, u, i);
    65         }
    66         rt = 1;
    67         dfs(rt, -1);
    68         printf("Bridge: ");
    69         for(int i = 0; i < ecnt; i++) {
    70             if(edge[i].bridge) {
    71                 printf("%d %d
    ", edge[i].u, edge[i].v);
    72             }
    73         }
    74         puts("");
    75         for(int i = 1; i <= n; i++) printf("%d ", cut[i]);
    76         puts("");
    77         for(int i = 1; i <= n; i++) printf("%d ", dfn[i]);
    78         puts("");
    79         for(int i = 1; i <= n; i++) printf("%d ", low[i]);
    80         puts("");
    81     }
    82     return 0;
    83 }
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  • 原文地址:https://www.cnblogs.com/kirai/p/6739321.html
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