• [UVA315]Network(tarjan, 求割点)


    题目链接:https://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&page=show_problem&problem=251

    求割点,除了输入用strtok和sscanf处理输入以外,对于求割点的tarjan算法有了进一步理解。

    特别注意88行,如果u是根并且至少两个儿子,那它一定是割点无误,还有第二个情况用如图代表:

    这个例子里显然:low[4]=2,dfn[4]=4,dfn[3]=3。现dfs到3点位置了,4是3的儿子,假如3是割点,那删掉3后4和2依然连通,因此3不是割点。判断依据可以是low[4]<dfn[3]。

    假如low[4]>=dfn[3]的话,那3就是割点了。

      1 /*
      2 ━━━━━┒ギリギリ♂ eye!
      3 ┓┏┓┏┓┃キリキリ♂ mind!
      4 ┛┗┛┗┛┃\○/
      5 ┓┏┓┏┓┃ /
      6 ┛┗┛┗┛┃ノ)
      7 ┓┏┓┏┓┃
      8 ┛┗┛┗┛┃
      9 ┓┏┓┏┓┃
     10 ┛┗┛┗┛┃
     11 ┓┏┓┏┓┃
     12 ┛┗┛┗┛┃
     13 ┓┏┓┏┓┃
     14 ┃┃┃┃┃┃
     15 ┻┻┻┻┻┻
     16 */
     17 #include <algorithm>
     18 #include <iostream>
     19 #include <iomanip>
     20 #include <cstring>
     21 #include <climits>
     22 #include <complex>
     23 #include <fstream>
     24 #include <cassert>
     25 #include <cstdio>
     26 #include <bitset>
     27 #include <vector>
     28 #include <deque>
     29 #include <queue>
     30 #include <stack>
     31 #include <ctime>
     32 #include <set>
     33 #include <map>
     34 #include <cmath>
     35 
     36 using namespace std;
     37 
     38 #define fr first
     39 #define sc second
     40 #define cl clear
     41 #define BUG puts("here!!!")
     42 #define W(a) while(a--)
     43 #define pb(a) push_back(a)
     44 #define Rint(a) scanf("%d", &a)
     45 #define Rll(a) scanf("%lld", &a)
     46 #define Rs(a) scanf("%s", a)
     47 #define Cin(a) cin >> a
     48 #define FRead() freopen("in", "r", stdin)
     49 #define FWrite() freopen("out", "w", stdout)
     50 #define Rep(i, len) for(int i = 0; i < (len); i++)
     51 #define For(i, a, len) for(int i = (a); i < (len); i++)
     52 #define Cls(a) memset((a), 0, sizeof(a))
     53 #define Clr(a, x) memset((a), (x), sizeof(a))
     54 #define Full(a) memset((a), 0x7f7f, sizeof(a))
     55 #define lrt rt << 1
     56 #define rrt rt << 1 | 1
     57 #define pi 3.14159265359
     58 #define RT return
     59 typedef long long LL;
     60 typedef long double LD;
     61 typedef unsigned long long ULL;
     62 typedef pair<int, int> pii;
     63 typedef pair<string, int> psi;
     64 typedef map<string, int> msi;
     65 typedef vector<int> vi;
     66 typedef vector<LL> vl;
     67 typedef vector<vl> vvl;
     68 typedef vector<bool> vb;
     69 
     70 const int maxn = 220;
     71 char str[66666];
     72 int n, m, rt, bcnt;
     73 int G[maxn][maxn];
     74 int dfn[maxn], low[maxn], vis[maxn];
     75 int in[maxn];
     76 bool cut[maxn];
     77 vi e[maxn];
     78 int bridge[maxn][3];
     79 
     80 void dfs(int u, int d) {
     81     int son = 0;
     82     vis[u] = 1; dfn[u] = low[u] = d;
     83     Rep(i, e[u].size()) {
     84         int v = e[u][i];
     85         if(!vis[v]) {
     86             dfs(v, d+1); son++;
     87             low[u] = min(low[u], low[v]);
     88             if((u==rt&&son>1)||(u!=rt&&low[v]>=dfn[u])) cut[u] = 1;
     89         }
     90         else low[u] = min(low[u], dfn[v]);
     91     }
     92 }
     93 
     94 int main() {
     95     // FRead();
     96     int u, v;
     97     while(~Rint(n) && n) { 
     98         Cls(G); Cls(dfn); Cls(low); Cls(in);
     99         Cls(vis); Cls(bridge); Cls(cut); bcnt = 0;
    100         Rep(i, n+5) e[i].cl();
    101         getchar();
    102         while(gets(str) && strcmp("0", str)) {
    103             char* p = strtok(str, " ");
    104             sscanf(p, "%d", &u);
    105             p = strtok(NULL, " ");
    106             while(p) {
    107                 sscanf(p, "%d", &v);
    108                 p = strtok(NULL, " ");
    109                 G[u][v] = G[v][u] = 1;
    110             }
    111         }
    112         For(i, 1, n+1) {
    113             For(j, i+1, n+1) {
    114                 if(G[i][j]) {
    115                     e[i].push_back(j);
    116                     e[j].push_back(i);
    117                 }
    118             }
    119         }
    120         rt = 1;
    121         int ret = 0;
    122         dfs(1, 0);
    123         For(i, 1, n+1) if(cut[i]) ret++;
    124         printf("%d
    ", ret);
    125     }
    126     RT 0;
    127 }
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  • 原文地址:https://www.cnblogs.com/kirai/p/5515227.html
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