Cod sursa(job #3342949)

Utilizator pascaru_tudorPascaru Tudor-Andrei pascaru_tudor Data 26 februarie 2026 10:35:56
Problema Arbore partial de cost minim Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.87 kb
#include <fstream>
#include <queue>
#define MMAX 400002
#define NMAX 200002
using namespace std;
ifstream fin("apm.in");
ofstream fout("apm.out");

struct muchie
       {int x, y, c;
        friend bool operator < (muchie a, muchie b);
       };

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

muchie apm[NMAX];
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 y, rx;
 //determin radacina arborelui
 rx=x;
 while (tata[rx]) rx=tata[rx];
 //rx este radacina arborelui
 //compresez drumul de la x la rx;
 //fiecare nod de pe acest fdrum 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=0; i<m; i++)
     {fin>>aux.x>>aux.y>>aux.c;
      H.push(aux);
     }
}

void kruskal()
{muchie aux;
 int rx, ry, nrsel;
 nrsel=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';
}