许诺 • 7天前
#include <iostream>
#include <vector>
#include <stack>
#include <algorithm>
using namespace std;
const int MAXN = 500005; const int MAXM = 4000005; // 注意重边,需要开两倍
struct Edge {
int to, next;
bool isBridge;
} edges[MAXM];
int head[MAXN], cnt = 1; // 从1开始,方便异或找反向边 int dfn[MAXN], low[MAXN], idx; stack stk; vector<vector> dcc; // 存储所有边双连通分量 bool inStack[MAXN]; int n, m;
void addEdge(int u, int v) {
edges[++cnt] = {v, head[u], false};
head[u] = cnt;
}
void tarjan(int u, int fromEdge) {
dfn[u] = low[u] = ++idx;
stk.push(u);
inStack[u] = true;
for (int i = head[u]; i; i = edges[i].next) {
int v = edges[i].to;
// 如果是反向边,跳过
if (i == (fromEdge ^ 1)) continue;
if (!dfn[v]) {
tarjan(v, i);
low[u] = min(low[u], low[v]);
// 判断是否为桥
if (low[v] > dfn[u]) {
edges[i].isBridge = true;
edges[i ^ 1].isBridge = true;
}
} else if (inStack[v]) {
low[u] = min(low[u], dfn[v]);
}
}
// 如果u是当前分量的根节点
if (low[u] == dfn[u]) {
vector<int> component;
while (true) {
int v = stk.top();
stk.pop();
inStack[v] = false;
component.push_back(v);
if (v == u) break;
}
dcc.push_back(component);
}
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n >> m;
// 读入边
for (int i = 0; i < m; i++) {
int u, v;
cin >> u >> v;
// 自环不需要添加两次
if (u == v) {
addEdge(u, v);
addEdge(v, u);
} else {
addEdge(u, v);
addEdge(v, u);
}
}
// 对每个连通分量进行 Tarjan
for (int i = 1; i <= n; i++) {
if (!dfn[i]) {
tarjan(i, 0);
}
}
// 输出结果
cout << dcc.size() << "\n";
for (auto& component : dcc) {
cout << component.size();
// 按题目要求排序输出(可选)
sort(component.begin(), component.end());
for (int node : component) {
cout << " " << node;
}
cout << "\n";
}
return 0;
}
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