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#include <bits/stdc++.h>
using namespace std;
ifstream fin("biconex.in");
ofstream fout("biconex.out");
struct Tracker{
int discovery_time;
int lowest_reachable;
Tracker(int d = 0,int l = 0):discovery_time(d),lowest_reachable(l){ }
};
class Graph {
private:
//Variabile private
int vertices;
int edges;
bool oriented;
vector<int> *adjacency_list;
//To compute:
vector<unordered_set<int>> biconnected_components;
//Functii private
void BFS(int starting_vertex, int *distances);
void DFS(int vertex,int* visited);
void BCC(int vertex,vector<int>& parent, stack<int>& vertices_stack, vector<Tracker>& tracker,int& timer);
public:
Graph(int vertices = 0, int edges = 0, bool oriented = false);
~Graph();
void infoarena_graph();
void show_my_graph();
void solve_distances(int starting_vertex);
void solve_connected_components();
void solve_biconnected();
};
int main() {
int N,M;
fin>>N>>M;
Graph g(N,M, false);
g.infoarena_graph();
g.solve_biconnected();
}
#pragma region Initialization
Graph::Graph(int vertices, int edges, bool oriented) : vertices(vertices), edges(edges), oriented(oriented) {
adjacency_list = new vector<int>[vertices + 1];
}
Graph::~Graph() {
delete[] adjacency_list;
}
void Graph::infoarena_graph() {
int x, y;
if (oriented) {
for (int i = 1; i <= edges; i++) {
fin >> x >> y;
adjacency_list[x].push_back(y);
}
} else {
for (int i = 1; i <= edges; i++) {
fin>>x>>y;
adjacency_list[x].push_back(y);
adjacency_list[y].push_back(x);
}
}
}
void Graph::show_my_graph() {
for(int i = 1;i<vertices+1;i++){
cout<<i<<"=>";
for(int j : adjacency_list[i]){
cout<<j<<' ';
}
cout<<'\n';
}
}
#pragma endregion
//Algorithm implementations
#pragma region Algorithms
void Graph::BFS(int starting_vertex, int *distances) {
int* visited = (int*) calloc(vertices+1,sizeof (int));
queue<int> que;
que.push(starting_vertex);
distances[starting_vertex] = 1;
visited[starting_vertex] = 1;
while (!que.empty()) {
int current_node = que.front();
que.pop();
for (auto neighbor : adjacency_list[current_node]) {
if (!visited[neighbor]) {
que.push(neighbor);
visited[neighbor] = 1;
distances[neighbor] = distances[current_node] + 1;
}
}
}
free(visited);
}
void Graph::DFS(int vertex, int *visited) {
visited[vertex] = 1;
for(auto neighbor : adjacency_list[vertex])
if(!visited[neighbor])
DFS(neighbor,visited);
}
void Graph::BCC(int vertex,vector<int>& parent, stack<int>& vertices_stack, vector<Tracker>& tracker,int& timer){
tracker[vertex].discovery_time = tracker[vertex].lowest_reachable = ++timer;
for(int neighbor : adjacency_list[vertex]){
//Not visited yet;
vertices_stack.push(vertex);
if(parent[neighbor]==-1){
parent[neighbor] = vertex;
BCC(neighbor,parent,vertices_stack,tracker,timer);
tracker[vertex].lowest_reachable = min(tracker[neighbor].lowest_reachable,tracker[vertex].lowest_reachable);
if(tracker[vertex].discovery_time <= tracker[neighbor].lowest_reachable){
int aux;
biconnected_components.push_back(unordered_set<int>());
int n = biconnected_components.size();
aux = vertices_stack.top();
while(aux!=vertex){
if(biconnected_components[n-1].find(aux)==biconnected_components[n-1].end()) {
biconnected_components[n - 1].insert(aux);
}
aux = vertices_stack.top();
vertices_stack.pop();
}
biconnected_components[n-1].insert(aux);
}
}
else{
tracker[vertex].lowest_reachable = min(tracker[neighbor].discovery_time, tracker[vertex].lowest_reachable);
}
}
}
#pragma endregion
//infoarena solutions
#pragma region Solutions
//Minimal distances BFS problem
void Graph::solve_distances(int starting_vertex) {
int *distances = (int*)calloc(vertices+1,sizeof (int));
BFS(starting_vertex,distances);
for(int i = 1;i<vertices+1;i++)
fout<<distances[i] - 1<<' ';
free(distances);
}
//Connected compontents DFS problem
void Graph::solve_connected_components() {
int counter = 0;
int* visited = (int*)calloc(vertices+1,sizeof (int));
for(int i = 1;i<vertices + 1;i++)
if(!visited[i]){
DFS(i,visited);
counter++;
}
fout<<counter;
free(visited);
}
void Graph::solve_biconnected() {
stack<int> vertices_stack;
vector<int> parent(vertices+1,-1);
vector<Tracker> tracker(vertices+1,(0,0));
int timer = 0;
for(int i = 1;i<vertices+1;i++){
if(parent[i] == -1){
parent[i] = i;
BCC(i,parent,vertices_stack,tracker,timer);
}
}
fout<<biconnected_components.size()<<'\n';
for(auto components : biconnected_components){
for (auto i : components)
fout<<i<<' ';
fout<<'\n';
}
}
#pragma endregion