Cod sursa(job #2796571)

Utilizator IPCristianIlie Cristian IPCristian Data 8 noiembrie 2021 14:42:42
Problema Componente tare conexe Scor 90
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 8.2 kb
#include <bits/stdc++.h>
using namespace std;
#define nr 100002

class Graf
{
private:

    int nr_varfuri;
    int nr_arce;

public:

    Graf()
    {
        this->nr_varfuri = 0;
        this->nr_arce = 0;
    }


    ~Graf() {}

    // BFS

    void BFS()
    {
        int sursa;
        int distanta[nr];

        ifstream fin("bfs.in");
        ofstream fout("bfs.out");

        fin>>this->nr_varfuri>>this->nr_arce>>sursa;

        bool vizitat[nr_varfuri+2];
        for (int i=0;i<=this->nr_varfuri;i++)
        {
            vizitat[i] = false;
        }

        for (int i=0;i<this->nr_varfuri;i++)
        {
            distanta[i] = -1;
        }

        int a,b;
        vector <int> arce[nr_varfuri+1];
        for (int i=0;i<this->nr_arce;i++)
        {
            fin>>a>>b;
            arce[a].push_back(b);
        }

        queue<int> coada;
        coada.push(sursa);
        vizitat[sursa] = true;
        distanta[sursa] = 0;

        while (!coada.empty())
        {
            int nod_crt = coada.front();
            coada.pop();
            int size_arce = arce[nod_crt].size();
            for (int i=0;i<size_arce;i++)
            {
                int nod_vec = arce[nod_crt][i];
                if (!vizitat[nod_vec])
                {
                    coada.push(nod_vec);
                    vizitat[nod_vec] = true;
                    distanta[nod_vec] = distanta[nod_crt] + 1;
                }
            }
        }

        for (int i=1;i<=this->nr_varfuri;i++)
            fout<<distanta[i]<<' ';


        fin.close();
        fout.close();

    }

    // DFS

    void DFS()
    {

        int nr_comp_conexe = 0;

        ifstream fin("dfs.in");
        ofstream fout("dfs.out");

        fin>>this->nr_varfuri>>this->nr_arce;
        bool vizitat[nr_varfuri+2];

        for (int i=0;i<=this->nr_varfuri;i++)
        {
            vizitat[i] = false;
        }

        int a,b;
        vector <int> arce[nr_varfuri+1];
        for (int i=0;i<this->nr_arce;i++)
        {
            fin>>a>>b;
            arce[a].push_back(b);
            arce[b].push_back(a);
        }

        for (int i=1;i<=this->nr_varfuri;i++)
        {
            if (!vizitat[i])
            {
                nr_comp_conexe++;
                DF(i,arce,vizitat);
            }
        }

        fout<<nr_comp_conexe;

        fin.close();
        fout.close();
    }

    void DF(int i,vector<int> arce[],bool vizitat[])
    {
        vizitat[i] = true;
        int size_arce = arce[i].size();
        for (int j=0;j<size_arce;j++)
        {
            int nod_vec = arce[i][j];
            if (!vizitat[nod_vec])
                DF(nod_vec,arce,vizitat);
        }
    }

    // Biconex

    void Biconex()
    {

        vector <vector <int>> Comp; // Variabila in care stochez componentele biconexe
        stack <pair <int,int>> Stiva;

        ifstream fin("biconex.in");
        ofstream fout("biconex.out");

        fin>>this->nr_varfuri>>this->nr_arce;

        int a,b;
        vector <int> arce[nr_varfuri+1];
        int dfn[nr_varfuri+1],low[nr_varfuri+1];
        for (int i=1;i<=nr_varfuri;i++)
        {
            dfn[i] = -1; // Nivel
            low[i] = -1; // Nivel minim
        }
        for (int i=0;i<this->nr_arce;i++)
        {
            fin>>a>>b;
            arce[a].push_back(b); // Graf neorientat
            arce[b].push_back(a);
        }

        DF2(1,0,0,arce,dfn,low,Stiva,Comp);

        int size_comp = Comp.size();
        fout<<size_comp<<"\n";
        for (int i=0;i<size_comp;i++)
        {
            sort(Comp[i].begin(),Comp[i].end());  // Sort + Erase sunt utilizate fiindca la punerea in Comp, au fost puse
            Comp[i].erase(unique(Comp[i].begin(),Comp[i].end()), Comp[i].end());  // extremitatiile muchiilor utilizate,astfel creeandu-se duplicate
            int size_comp_i = Comp[i].size();
            for (int j=0;j<size_comp_i;j++)
                fout<<Comp[i][j]<<' ';
            fout<<"\n";
        }

        fin.close();
        fout.close();
    }

    void DF2(int n,int fn,int number,vector<int> arce[],int dfn[],int low[],stack<pair<int,int>> &Stiva,vector <vector <int>> &Comp)
    {
        dfn[n] = low[n] = number;
        int size_vec = arce[n].size();
        for (int i=0;i<size_vec;i++)
        {
            int vec_crt = arce[n][i];
            if (vec_crt == fn) continue; // Doresc sa ma duc doar in fii lui n, nu inapoi in tatal sau
            if (dfn[vec_crt] == -1)
            {
                Stiva.push(make_pair(n,vec_crt)); // Pun muchia pe stiva
                DF2(vec_crt,n,number+1,arce,dfn,low,Stiva,Comp); // Parcurg mai departe in adancime
                low[n] = min(low[n],low[vec_crt]);
                if (low[vec_crt] >= dfn[n])
                    Add_Comp(n,vec_crt,Stiva,Comp); // Am gasit un nod de articulatie => Introducem componenta biconexa si
                                                    // scoatem de pe stiva muchiile care fac parte din ea
            }
            else low[n] = min(low[n],dfn[vec_crt]);
        }
    }

    void Add_Comp(const int x,const int y,stack<pair<int,int>> &Stiva,vector <vector <int>> &Comp)
    {
        vector<int> Comp_bcnx;
        int nx,ny;
        do
        {
            nx = Stiva.top().first;
            ny = Stiva.top().second;
            Stiva.pop();
            Comp_bcnx.push_back(nx);
            Comp_bcnx.push_back(ny);

        }while(nx != x || ny != y); // Scoatem inclusiv muchia X Y
        Comp.push_back(Comp_bcnx);
    }

    // Comp Tare Conexe

    void TareConexe()
    {
        ifstream fin("ctc.in");
        ofstream fout("ctc.out");

        fin>>this->nr_varfuri>>this->nr_arce;

        bool vizitat[nr_varfuri+2];
        vector <int> Comp[nr_varfuri+2];
        stack <int> L; // Stochez nodurile in ordinea in care au fost parcurse in DFS-ul original
        int nr_comp = 0; // Nr. comp tari conexe

        for (int i=0;i<=nr_varfuri;i++)
        {
            vizitat[i] = false;
        }

        vector <int> arce[nr_varfuri+1];
        vector <int> arce_transpuse[nr_varfuri+1];

        int a,b;
        for (int i=0;i<this->nr_arce;i++)
        {
            fin>>a>>b;
            arce[a].push_back(b);
            arce_transpuse[b].push_back(a);
        }


        for (int i=1;i<=nr_varfuri;i++)
        {
            Vizita(i,vizitat,arce,L);
        }

        while (!L.empty()) // Iau nodurile in ordinea parcurgerii DFS
        {
            int nr_crt = L.top();
            if (vizitat[nr_crt])
            {
                nr_comp++;
                Asignare(nr_crt,L,vizitat,arce_transpuse,nr_comp,Comp); // Colorezi toti vecinii sai la fel
            }
            L.pop();
        }

        fout<<nr_comp<<"\n";

        for (int i=1;i<=nr_comp;i++)
        {
            //sort(Comp[i].begin(),Comp[i].end());
            int size_comp = Comp[i].size();
            for (int j=0;j<size_comp;j++)
                fout<<Comp[i][j]<<' ';
            fout<<"\n";
        }

        fin.close();
        fout.close();
    }

    void Vizita(int n,bool vizitat[],vector <int> arce[],stack <int> &L) // DFS-ul grafului ( Vizitat false -> true )
    {
        if (!vizitat[n])
        {
            vizitat[n] = true;
            int size_n = arce[n].size();
            for (int i=0;i<size_n;i++)
            {
                Vizita(arce[n][i],vizitat,arce,L);
            }
            L.push(n);
        }
    }

    void Asignare(int n,stack <int> &L,bool vizitat[],vector <int> arce_transpuse[],int &nr_comp,vector<int> Comp[]) // DFS-ul grafului transpus ( Vizitat true -> false )
    {
        vizitat[n] = false;
        Comp[nr_comp].push_back(n);

        int size_n = arce_transpuse[n].size();
        for (int i=0;i<size_n;i++)
        {
            int nod_vcn = arce_transpuse[n][i];
            if (vizitat[nod_vcn])
            {
                Asignare(nod_vcn,L,vizitat,arce_transpuse,nr_comp,Comp);
            }
        }
    }
};

int main()
{
    Graf x;
    x.TareConexe();
    return 0;
}