http://acm.hdu.edu.cn/showproblem.php?pid=1269
题意:确定是否是一个强连通图。
思路:裸的tarjan算法。
#include <cstdio>
#include <algorithm>
#include <iostream>
#include <cstring>
#include <string>
#include <cmath>
#include <queue>
#include <vector>
#include <stack>
using namespace std;
#define M 100010
#define N 10010
struct node
{
int v, next;
}edge[M];
int n, m, tot, cnt, head[N];
int dfn[N], low[N];
bool vis[N];
stack<int> sta; void init()
{
memset(dfn, , sizeof(dfn));
memset(low, , sizeof(low));
memset(head, -, sizeof(head));
memset(vis, false, sizeof(vis));
tot = cnt = ;
while(!sta.empty()) sta.pop();
} void add(int u, int v)
{
edge[tot].next = head[u]; edge[tot].v = v; head[u] = tot++;
} int tarjan(int u)
{
dfn[u] = low[u] = ++cnt;
sta.push(u);
vis[u] = true;
for(int i = head[u]; ~i; i = edge[i].next) {
int v = edge[i].v;
if(!dfn[v]) {
tarjan(v);
if(low[v] < low[u]) low[u] = low[v];
} else {
if(dfn[v] < low[u] && vis[v]) low[u] = dfn[v];
}
}
if(low[u] == dfn[u]) {
int top = ;
int ans = ;
while(top != u) { //注意一开始top等于u的情况这样ans会只算0,而不是1
ans++;
top = sta.top(); sta.pop();
vis[top] = false;
}
return ans;
}
} int main()
{
while(scanf("%d%d", &n, &m)) {
if(n + m == ) break;
init();
for(int i = ; i < m; i++) {
int u, v;
scanf("%d%d", &u, &v);
add(u, v);
}
int ans = tarjan();
if(n == ans) puts("Yes");
else puts("No");
}
return ;
}