Cod sursa(job #891658)

Utilizator paulbotabota paul paulbota Data 25 februarie 2013 18:42:32
Problema Arbore partial de cost minim Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.76 kb
#include<fstream>
#include<algorithm>
#include<vector>
#define inf "apm.in"
#define outf "apm.out"
#define mp make_pair
#define pb push_back
#define maxn 200010
#define INF 1<<30

using namespace std;

ifstream in(inf);
ofstream out(outf);

long long N,M,sum,nr;
vector<pair<int,int> > vect[maxn],apm;
int h[2*maxn+100],poz[maxn],c[maxn],k,tata[maxn];

void read()
{
	int i;
	for(i=1;i<=M;i++)
	{
		int x,y,z;
		in>>x>>y>>z;
		vect[x].pb(mp(y,z));
		vect[y].pb(mp(x,z));
	}
}

void swap(int x,int y)
{
	int aux=h[x];
	h[x]=h[y];
	h[y]=aux;
	poz[h[x]]=x;
	poz[h[y]]=y;
}

void upheap(int i)
{
	while(i>1 && c[h[i/2]]>c[h[i]])
	{
		swap(i/2,i);
		i=i/2;
	}
}

void downheap(int i)
{
	int stg,dr,max=i;
	stg=2*i;
	dr=2*i+1;
	if(stg<=k && c[h[stg]]<c[h[i]])
		max=stg;
	if(dr<=k && c[h[dr]]<c[h[max]])
		max=dr;
	if(max!=i)
	{
		swap(max,i);
		downheap(max);
	}
}
void insert(int i)
{
	for(int j=0;j<vect[i].size();j++)
	{
		int nod=vect[i][j].first;
		int cost=vect[i][j].second;
		c[nod]=min(c[nod],cost);
		if(c[nod]==cost) tata[nod]=i;
	}
}

void insert_heap(int i)
{
	h[++k]=i;
	poz[i]=k;
	upheap(k);
}

int extract_min()
{
	int root=h[1];
	swap(1,k);
	k--;
	downheap(1);
	poz[root]=0;
	return root;
}

int main()
{
	in>>N>>M;
	read();
	int i;
	for(i=1;i<=N;i++)
		c[i]=INF;
	c[1]=0;
	insert(1);
	for(i=2;i<=N;i++)
	{
		insert_heap(i);
	}
	for(i=1;i<N;i++)
	{
		int nod=extract_min();
		insert(nod);
		sum+=c[nod];
		apm.pb(mp(tata[nod],nod));
		for(int j=0;j<vect[nod].size();j++)
		{
			int vertex=vect[nod][j].first;
			if(poz[vertex]) upheap(poz[vertex]);
		}
	}
	out<<sum<<"\n"<<N-1<<"\n";
	for(i=0;i<apm.size();i++)
		out<<apm[i].first<<" "<<apm[i].second<<"\n";
	return 0;
}