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#include <iostream>
#include <fstream>
#include <vector>
#include <queue>
#include <stack>
#include <bits/stdc++.h>
using namespace std;
const int Nmax=100005;
class Graf {
int nrNoduri, nrMuchii;
vector<vector<int>> vecini;
void afis_lista_ad();
vector<int> BFS(const int Start);
vector<int> DFS(const int Start);
void parcurgere_DFS(int nod_curent, vector<int>& sol, vector<bool>& viz);
public:
void problema_BFS();
void problema_DFS();
void problema_CTC();
void tarjan(int nod);
void Sortare_topologica();
bool Havel_Hakimi();
};
void Graf::afis_lista_ad()
{
for(int i=1; i<=nrNoduri; i++)
{
cout<< i <<": ";
int l = vecini[i].size();
for(int j=0; j<l; j++)
{
cout<< vecini[i][j] <<' ';
}
cout<<"\n";
}
}
vector<int> Graf::BFS(const int Start)
{
queue<int> coada;
vector<int> inaltime;
vector<bool> vizitat;
inaltime.resize(nrNoduri+1);
vizitat.resize(nrNoduri+1);
for(int i=0; i<=nrNoduri; i++) {
inaltime[i] = 0;
vizitat[i] = false;
}
coada.push(Start);
vizitat[Start] = true;
while(!coada.empty()) {
int nod_curent = coada.front();
coada.pop();
for(int i=0; i< int(vecini[nod_curent].size()); i++) {
int x = vecini[nod_curent][i];
if(!vizitat[x]) {
vizitat[x] = true;
coada.push(x);
inaltime[x] = inaltime[nod_curent] + 1;
}
}
}
for(int i=1; i<=nrNoduri; i++) {
if(inaltime[i] == 0 && i != Start)
inaltime[i] = -1;
}
return inaltime;
}
void Graf::problema_BFS()
{
ifstream in("bfs.in");
ofstream out("bfs.out");
int Start;
in>>nrNoduri>>nrMuchii>>Start;
vecini.resize(nrNoduri+1);
for(int i=0; i<nrMuchii; i++)
{
int x,y;
in>>x>>y;
vecini[x].push_back(y);
}
vector<int> distante = BFS(Start);
for(int i=1; i<=nrNoduri; i++) {
out << distante[i]<< ' ';
}
in.close();
out.close();
}
void Graf::parcurgere_DFS(int nod_curent, vector<int>& sol, vector<bool>& viz)
{
viz[nod_curent] = true;
sol.push_back(nod_curent);
for(int i=0; i<int(vecini[nod_curent].size()); i++) {
int nod = vecini[nod_curent][i];
if(!viz[nod]) {
parcurgere_DFS(nod, sol , viz);
}
}
}
vector<int> Graf::DFS(const int Start)
{
vector<int> sol;
vector<bool> viz;
viz.resize(nrNoduri+1);
for(int i=0; i<=nrNoduri; i++) {
viz[i] = false;
}
int nod_curent = Start;
parcurgere_DFS(nod_curent, sol, viz);
return sol;
}
void Graf::problema_DFS()
{
ifstream in("dfs.in");
ofstream out("dfs.out");
in>>nrNoduri>>nrMuchii;
vecini.resize(nrNoduri+1);
for(int i=0; i<nrMuchii; i++){
int x,y;
in>>x>>y;
vecini[x].push_back(y);
vecini[y].push_back(x);
}
afis_lista_ad();
vector<bool> nr_comp_conexa;
nr_comp_conexa.resize(nrNoduri+1);
for(int i=1; i<=nrNoduri; i++) {
nr_comp_conexa[i] = 0;
}
int k=1;
for(int i=1; i<=nrNoduri; i++){
if(nr_comp_conexa[i] == 0) {
vector<int> noduri = DFS(i);
for(int j=0; j<int(noduri.size()); j++) {
nr_comp_conexa[noduri[j]] = k;
}
}
k++;
}
for(int i=1; i<=nrNoduri; i++) {
cout<<nr_comp_conexa[i] <<' ';
}
in.close();
out.close();
}
/*bool Graf::Havel_Hakimi()
{
in>>nrNoduri;
int grad[nrNoduri+1], suma=0;
for(int i=0; i<nrNoduri; i++)
{
in >> grad[i];
suma += grad[i];
if(grad[i] > (nrNoduri - 1))
{
out<<"NU";
return false;
}
}
if(suma % 2 == 1)
{
out <<"NU";
return false;
}
sort(grad, grad+nrNoduri, greater<int>());
while(grad[0] != 0)
{
for(int i=0; i<nrNoduri; i++)
{
out<<grad[i]<<' ' ;
}
out<<"\n";
for(int i=1; i<=grad[0]; i++)
{
grad[i]--;
if(grad[i] < 0)
{
out<<"NU";
return false;
}
}
grad[0] = 0;
sort(grad, grad+nrNoduri, greater<int>());
}
out<<"DA";
return true;
}
void Graf::Sortare_topologica()
{
int contor = 0;
while(contor < nrNoduri)
{
for(int nod = 1; nod <= nrNoduri; nod++)
{
if(grad_intern[nod] == 0)
{
contor++;
out << nod <<' ';
int l = vecini[nod].size();
for(int i=0; i<l; i++)
{
grad_intern[vecini[nod][i]]--;
}
grad_intern[nod]--;
}
}
}
}
void Graf::tarjan(int nod)
{
int l = vecini[nod].size();
for(int i=0; i<l; i++)
{
int vec = vecini[nod][i];
if(!vizitat[vec])
{
stiva.push(vec);
pe_stiva[vec] = true;
vizitat[vec] = true;
tarjan(vec);
if(pe_stiva[nod])
lowlink[nod] = min(lowlink[nod], lowlink[vec]);
}
}
if(lowlink[nod] = nod)
{
nrCTC++;
while(lowlink[stiva.top()] == nod)
{
pe_stiva[stiva.top()] = false;
stiva.pop();
}
}
}
void Graf::problema_CTC()
{
in >> nrNoduri >> nrMuchii;
vecini.resize(nrNoduri+1);
lowlink.resize(nrNoduri+1);
pe_stiva.resize(nrNoduri+1);
vizitat.resize(nrNoduri+1);
nrCTC = 0;
for(int i=0; i<nrMuchii; i++)
{
int x,y;
in>>x>>y;
vecini[x].push_back(y);
}
for(int i=1; i<=nrNoduri+1; i++)
{
vizitat[i] = false;
pe_stiva[i] = false;
lowlink[i] = i;
}
for(int nod=1; nod<=nrNoduri; nod++)
{
if(!vizitat[nod])
{
stiva.push(nod);
pe_stiva[nod] = true;
vizitat[nod] = true;
tarjan(nod);
}
}
cout << nrCTC;
}*/
int main()
{
Graf G;
//G.problema_BFS();
G.problema_DFS();
return 0;
}