• [POJ3177]Redundant Paths(双连通图,割边,桥,重边)


    题目链接:http://poj.org/problem?id=3177

    和上一题一样,只是有重边。

    如何解决重边的问题?

    1、  构造图G时把重边也考虑进来,然后在划分边双连通分量时先把桥删去,再划分,其中桥的一端的割点归入当前正在划分的边双连通分量。这个处理比较麻烦;

    2、  在输入图G的边时,若出现重边,则不把重边放入图G,然后在划分边双连通分量时依然用Low划分。

      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 using namespace std;
     36 #define fr first
     37 #define sc second
     38 #define cl clear
     39 #define BUG puts("here!!!")
     40 #define W(a) while(a--)
     41 #define pb(a) push_back(a)
     42 #define Rint(a) scanf("%d", &a)
     43 #define Rll(a) scanf("%lld", &a)
     44 #define Rs(a) scanf("%s", a)
     45 #define Cin(a) cin >> a
     46 #define FRead() freopen("in", "r", stdin)
     47 #define FWrite() freopen("out", "w", stdout)
     48 #define Rep(i, len) for(int i = 0; i < (len); i++)
     49 #define For(i, a, len) for(int i = (a); i < (len); i++)
     50 #define Cls(a) memset((a), 0, sizeof(a))
     51 #define Clr(a, x) memset((a), (x), sizeof(a))
     52 #define Full(a) memset((a), 0x7f7f, sizeof(a))
     53 #define lp p << 1
     54 #define rp p << 1 | 1
     55 #define pi 3.14159265359
     56 #define RT return
     57 typedef long long LL;
     58 typedef long double LD;
     59 typedef unsigned long long ULL;
     60 typedef pair<int, int> pii;
     61 typedef pair<string, int> psi;
     62 typedef map<string, int> msi;
     63 typedef vector<int> vi;
     64 typedef vector<LL> vl;
     65 typedef vector<vl> vvl;
     66 typedef vector<bool> vb;
     67 
     68 typedef struct Edge {
     69     int v;
     70     bool cut;
     71     Edge() {}
     72     Edge(int vv) : v(vv) { cut = 0; }
     73 }Edge;
     74 
     75 const int maxn = 5500;
     76 const int maxm = 555011;
     77 int n, m;
     78 int dig[maxn];
     79 int dfn[maxn], low[maxn], idx;
     80 vector<Edge> G[maxn];
     81 bool vis[maxn];
     82 int st[maxn], top;
     83 int belong[maxn], bcnt;
     84 
     85 void tarjan(int u, int p) {
     86     int v;
     87     low[u] = dfn[u] = ++idx;
     88     vis[u] = 1;
     89     st[top++] = u;
     90     Rep(i, G[u].size()) {
     91         v = G[u][i].v;
     92         if(v == p) continue;
     93         if(!dfn[v]) {
     94             tarjan(v, u);
     95             low[u] = min(low[u], low[v]);
     96             if(low[v] > dfn[u]) {
     97                 G[u][i].cut = 1;
     98                 Rep(j, G[v].size()) {
     99                     if(G[v][j].v== u) {
    100                         G[v][j].cut = 1;
    101                         break;
    102                     }
    103                 }
    104             }
    105         }
    106         else if(vis[v]) low[u] = min(low[u], dfn[v]);
    107     }
    108     if(low[u] == dfn[u]) {
    109         bcnt++;
    110         do {
    111             v = st[--top];
    112             vis[v] = 0;
    113             belong[v] = bcnt;
    114         } while(v != u);
    115     }
    116 }
    117 
    118 int main() {
    119     FRead();
    120     int u, v;
    121     while(~Rint(n) && ~Rint(m)) {
    122         Rep(i, n+50) G[i].cl();
    123         Cls(vis); Cls(dig); Cls(dfn); Cls(low);
    124         top = 0; idx = 0; bcnt = 0;
    125         Rep(i, m) {
    126             Rint(u); Rint(v);
    127             G[u].pb(Edge(v)); G[v].pb(Edge(u));
    128         }
    129         tarjan(1, 0);
    130         int ret = 0;
    131         For(u, 1, n+1) {
    132             printf("%d ", belong[u]);
    133             Rep(i, G[u].size()) {
    134                 if(G[u][i].cut) {
    135                     dig[belong[u]]++;
    136                 }
    137             }
    138         }
    139         printf("
    ");
    140         For(i, 1, bcnt+1) {
    141             if(dig[i] == 1) ret++;
    142         }
    143         printf("%d
    ", (ret+1)>>1);
    144     }
    145     RT 0;
    146 }
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  • 原文地址:https://www.cnblogs.com/kirai/p/5520372.html
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