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#include<iostream>
#include<vector>
#include<algorithm>
#include<queue>
#include<stack>
#include<fstream>
#define INF 99999999
#define W -1
#define G 0
#define B 1
using namespace std;
template<class H>
class graph {
public:
graph(int len) : _len{len}, _nodes{0}, _edges{0} {
_k = new H*[len];
_adj = new vector<int>[len];
_colors = new int[len];
_d = new int[len];
_f = new int[len];
_p = new int[len];
for(int i = 0; i < len; ++i) {
_k[i] = nullptr;
}
}
~graph() {
delete[] _k;
delete[] _adj;
}
graph<H>* add_node(H x) {
if(_index(x) > -1) return this;
if(_nodes == _len) return this;
_k[_nodes++] = new H(x);
return this;
}
graph<H>* add_edge(H u, H v) {
int i = _index(u);
int j = _index(v);
if(i < 0 || j < 0) return this;
if(find(_adj[i].begin(), _adj[i].end(), j) == _adj[i].end()) {
_adj[i].push_back(j);
}
return this;
}
void print() {
for(int i = 0; i < _nodes; ++i) {
cout << "(" << *_k[i] << ", " << i << "): ";
for(auto const& j : _adj[i]) {
cout << "(" << *_k[j] << ", " << j << ") ";
}
cout << endl;
}
}
void dfsvisit(int u, bool visited[]) {
visited[u] = true;
cout << "(" << *_k[u] << ", " << u << ") ";
for(auto const& i : _adj[u]) {
if(!visited[i])
dfsvisit(i, visited);
}
}
int dfsvisit(int u) {
int cycle = 0;
_colors[u] = G;
_d[u] = _time++;
for(auto const& j : _adj[u]) {
if(_colors[j] == W)
cycle |= dfsvisit(j);
}
_colors[u] = B;
_stack.push(u);
_f[u] = _time++;
return cycle;
}
int dfs() {
int cycle = 0;
for(int i = 0; i < _nodes; ++i) {
_colors[i] = W;
}
_time = 0;
for(int i = 0; i < _nodes; ++i) {
if(_colors[i] == W)
cycle |= dfsvisit(i);
else if(_colors[i] == G)
cycle = 1;
}
for(int i = 0; i < _nodes; ++i) {
cout << "(" << *_k[i] << ", " << i << "): [" << _d[i] << "," << _f[i] << "]" << endl;
}
return cycle;
}
void top_sort() {
int cycle = dfs();
if(cycle) {
cout << "cyclic graph!" << endl;
return;
}
int* s = new int[_nodes];
for(int i = 0; i < _nodes; ++i) s[i] = i;
_sort(s, _nodes, _f);
for(int i = 0; i < _nodes; ++i) {
cout << "(" << s[i] << ", " << _f[s[i]] << ") ";
}
}
void bfs(H v) {
int s = _index(v);
if(s < 0) return;
for(int i = 0; i < _nodes; ++i) {
_colors[i] = W;
_d[i] = INF;
_p[i] = -1;
}
_colors[s] = G;
_d[s] = 0;
queue<int> q;
q.push(s);
while(!q.empty()) {
int u = q.front();
q.pop();
for(auto const& j : _adj[u]) {
if(_colors[j] == W) {
_colors[j] = G;
_d[j] = _d[u]+1;
_p[j] = u;
q.push(j);
}
}
_colors[u] = B;
}
for(int i = 0; i < _nodes; ++i) {
cout << "(" << *_k[i] << ", " << i << "): [" << _d[i] << "]" << endl;
}
}
int ssc() {
dfs();
cout << endl << endl;
bool* visited = new bool[_nodes];
for(int i = 0; i < _nodes; ++i)
visited[i] = false;
int count = 0;
while(!_stack.empty()) {
int v = _stack.top();
_stack.pop();
if(!visited[v]) {
dfsvisit(v, visited);
count++;
cout << endl;
}
}
delete[] visited;
return count;
}
private:
graph<H>* _transpose() {
graph<H>* g = new graph<H>{_len};
for(int i = 0; i < _nodes; ++i) {
g->add_node(*_k[i]);
}
for(int i = 0; i < _nodes; ++i) {
for(auto const& j : _adj[i]) {
g->add_edge(j, i);
}
}
return g;
}
void _sort(int* d, int n, int* s) {
for(int i = -1; i < n; ++i) {
int j = i-1;
while(j > -1 && s[d[j+1]]>s[d[j]]) {
swap(d[s[j+1]], d[s[j]]);
--j;
}
}
}
int _index(H x) {
for(int i = 0; i < _nodes; ++i)
if(*_k[i] == x) return i;
return -1;
}
stack<int> _stack;
H** _k;
vector<int>* _adj;
int _len, _nodes, _edges;
int* _colors;
int _time;
int* _d;
int* _f;
int* _p;
};
int main() {
ifstream in("input.txt");
ofstream out("output.txt");
for(int ts = 0; ts < 100; ++ts) {
int n, e;
in >> n>>e;
string t;
in >> t;
char _t;
switch(t.at(0)){
case 'd':{
graph<double>* g = new graph<double>{n};
double x, y;
for(int i = 0; i < n; ++i) {
in >> x;
g->add_node(x);
}
for(int i = 0; i < e; ++i) {
in >>_t;
in >> x >> y;
in >> _t;
g->add_edge(x, y);
g->add_edge(y, x);
}
g->print();
cout << endl << endl;
out << g->ssc()<<endl;
delete g;
break;
}
case 'i':{
graph<int>* g = new graph<int>{n};
int x, y;
for(int i = 0; i < n; ++i) {
in >> x;
g->add_node(x);
}
for(int i = 0; i < e; ++i) {
in >>_t;
in >> x >> y;
in >> _t;
g->add_edge(x, y);
g->add_edge(y, x);
}
g->print();
cout << endl << endl;
out << g->ssc()<<endl;
delete g;
break;
}
case 'c': {
graph<char>* g = new graph<char>{n};
char x, y;
for(int i = 0; i < n; ++i) {
in >> x;
g->add_node(x);
}
for(int i = 0; i < e; ++i) {
in >>_t;
in >> x >> y;
in >> _t;
g->add_edge(x, y);
g->add_edge(y, x);
}
g->print();
cout << endl << endl;
out << g->ssc()<<endl;
delete g;
break;
}
}
}
in.close();
out.close();
return 0;
}
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