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Cod sursa(job #660991)
/*
* Autor: Paul Herman
* Problema: APM - Prim
* Data: 01.10.2011
* Punctaj: 60
* Link: http://www.infoarena.ro/problema/apm
*/
#include <iostream>
#include <fstream>
#include <algorithm>
using namespace std;
struct muchie
{
int a; //Sursa
int b; //Destinatie
int cost; //Cost
bool apartine_apm; //Daca muchia apartine APM
};
int n; //Nr. de varfuri
int m; //Nr. de muchii
muchie muchii[400001]; //Muchiile
int cost_apm; //Costul arborelui
int componente[200001]; //Componentele conexe
inline bool comparare_muchii(muchie a, muchie b)
{
return (a.cost < b.cost);
}
inline void citire()
{
ifstream fin("apm.in");
fin >> n >> m;
for (int i = 0; i < m; i++)
{
fin >> muchii[i].b >> muchii[i].a >> muchii[i].cost;
}
fin.close();
}
inline void prim()
{
cost_apm = 0;
for (int i = 1; i <= n; i++)
componente[i] = i; //Fiecare nod e o componenta conexa
sort(muchii, muchii + m, comparare_muchii); //Sortam muchiile dupa cost
int muchii_adaugate = 0; //Nr. de muchii din APM
int componenta = muchii[0].a; //Initial adaugam muchia cu costul minim deci componenta va fi unul din varfurile muchiei
bool adaugat; //La fiecare pas cautam o muchie de cost minim pt care unul si numai unul din varfuri apartine componentei conexe
while (muchii_adaugate < (n - 1))
{
//APM-ul are n-1 muchii
adaugat = false; //Presupunem ca nu am adaugat o muchie
for (int i = 0; ((i < m) && (adaugat == false)); i++)
{
if ((componente[muchii[i].b] == componenta || componente[muchii[i].a] == componenta) && (componente[muchii[i].b] != componente[muchii[i].a]))
{
//Daca unul si numai unul din varfuri apartine componentei conexe, adaugam muchia
muchii[i].apartine_apm = true;
componente[muchii[i].a] = componenta;
componente[muchii[i].b] = componenta;
cost_apm = cost_apm + muchii[i].cost;
adaugat = true;
muchii_adaugate++;
}
}
}
}
inline void scriere()
{
ofstream fout("apm.out");
fout << cost_apm << "\n" << n-1 << "\n";
for (int i = 0; i < m; i++)
if (muchii[i].apartine_apm == true)
fout << muchii[i].a << " " << muchii[i].b << "\n";
fout.close();
}
int main()
{
citire();
prim();
scriere();
return 0;
}