Cod sursa(job #3342933)

Utilizator alexandra_popaa13Popa Alexandra alexandra_popaa13 Data 26 februarie 2026 10:33:43
Problema Arbore partial de cost minim Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 2.26 kb
#include <fstream>
#include <queue>
#define NMAX 200002
#define MMAX 400002

using namespace std;
ifstream fin("apm.in");
ofstream fout("apm.out");

struct muchie
    {
     int x,y,c;
     friend bool operator < (muchie a,muchie b); //< ptc pq are implicit mai mic, less; pt a supraincarca op >, trebuie decalrat pq cu greater
    };

int n,m;
int tata[NMAX];
int h[NMAX]; //h[x]=inaltimea arborelui cu radacina x

muchie apm[MMAX];
int costmin;

bool operator < (muchie a, muchie b)
{
    return a.c>b.c;
}

int Find(int x);
void Union(int x,int y);
void citire();
void kruskal();
void afisare();

priority_queue<muchie> H;

int main()
{
    citire();
    kruskal();
    afisare();
    return 0;
}

int Find(int x)
{
    int rx,y;
    //determin radacina arborelui
    rx=x;
    while(tata[rx]) rx=tata[rx];
    //rx este radacina arborelui
    //compresez drumul de la x la rx;
    //fiecare nod depe acest drum devine fiu al lui rx
    while(tata[x] && tata[x]!=rx)
        {
          y=tata[x];
          tata[x]=rx;
          x=y;
        }
    return rx;
}

void Union(int x,int y)
//reuneste arborele in care se afla x cu arborele in care se afla y
{
    int rx,ry;
    rx=Find(x);
    ry=Find(y);
    if(h[rx]<h[ry])
        //rx devine fiul lui ry
        tata[rx]=ry;
        else
        if(h[ry]<h[rx]) //ry devine fiul lui rx
            tata[ry]=rx;
            else //egalitate
            {
                tata[ry]=rx;
                h[rx]++;
            }
}

void citire()
{
    int i;
    muchie aux;
    fin>>n>>m;
    for(i=1; i<=m; i++)
        {
           fin>>aux.x>>aux.y>>aux.c;
           H.push(aux);
        }
}

void kruskal()
{
    muchie aux;
    int rx,ry,nrsel;
    nrsel=0;
    //nu trb initializat nici tata, nici h - sunt globale, sunt initial 0
    while(nrsel<n-1)
        {
         aux=H.top();
         H.pop();
         rx=Find(aux.x);
         ry=Find(aux.y);
         if(rx!=ry)
            {
             costmin+=aux.c;
             apm[++nrsel]=aux;
             Union(rx,ry);
            }
        }
}

void afisare()
{
    int i;
    fout<<costmin<<'\n'<<n-1<<'\n';
    for(i=1; i<n; i++)
        fout<<apm[i].x<<' '<<apm[i].y<<'\n';
}