UOJ 146 强联通分量

链接:

http://uoj.ac/problem/146

题意:

给你一个有向图,求其中的所有强联通分量中点最少的(1不算)

题解:

直接求强联通分量,并在pop的时候算出个数,更新ans

代码:

 1 #include <map>
 2 #include <set>
 3 #include <cmath>
 4 #include <queue>
 5 #include <stack>
 6 #include <cstdio>
 7 #include <string>
 8 #include <vector>
 9 #include <cstdlib>
10 #include <cstring>
11 #include <sstream>
12 #include <iostream>
13 #include <algorithm>
14 #include <functional>
15 using namespace std;
16 #define rep(i,a,n) for (int i=a;i<n;i++)
17 #define per(i,a,n) for (int i=n-1;i>=a;i--)
18 #define all(x) (x).begin(),(x).end()
19 #define pb push_back
20 #define mp make_pair
21 #define lson l,m,rt<<1  
22 #define rson m+1,r,rt<<1|1 
23 typedef long long ll;
24 typedef vector<int> VI;
25 typedef pair<int, int> PII;
26 const ll MOD = 1e9 + 7;
27 const int INF = 0x3f3f3f3f;
28 const int MAXN = 2e5 + 7;
29 // head
30 
31 int n, order = 0;
32 int low[MAXN], dfn[MAXN];
33 int vis[MAXN];
34 VI G[MAXN];
35 stack<int> S;
36 int ans = INF;
37 
38 void tarjan(int u) {
39     dfn[u] = low[u] = ++order;
40     S.push(u); vis[u] = 1;
41     rep(i, 0, G[u].size()) {
42         int v = G[u][i];
43         if (!dfn[v]) {
44             tarjan(v);
45             low[u] = min(low[u], low[v]);
46         }
47         else low[u] = min(low[u], dfn[v]);
48     }
49     if (low[u] == dfn[u]) {
50         int cnt = 0;
51         while (1) {
52             int now = S.top(); S.pop();
53             vis[u] = 0;
54             cnt++;
55             if (now == u) break;
56         }
57         if (cnt > 1) ans = min(ans, cnt);
58     }
59 }
60 
61 int main() {
62     cin >> n;
63     rep(i, 0, n) {
64         int x;
65         scanf("%d", &x);
66         x--;
67         G[i].pb(x);
68     }
69     rep(i, 0, n) if (!dfn[i]) tarjan(i);
70     cout << ans << endl;
71     return 0;
72 }

 

posted @ 2017-04-19 23:49  Flowersea  阅读(190)  评论(0编辑  收藏  举报