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#include <fstream>
#define NMAX 200002
#define MMAX 400002
using namespace std;
ifstream fin("apm.in");
ofstream fout("apm.out");
struct Muchie
{
int x,y,cost;
friend bool operator < (Muchie a,Muchie b);
friend bool operator > (Muchie a,Muchie b);
friend bool operator <= (Muchie a,Muchie b);
friend bool operator >= (Muchie a,Muchie b);
};
bool operator < (Muchie a,Muchie b)
{
return a.cost<b.cost;
}
bool operator > (Muchie a,Muchie b)
{
return a.cost>b.cost;
}
bool operator <= (Muchie a,Muchie b)
{
return a.cost<=b.cost;
}
bool operator >= (Muchie a,Muchie b)
{
return a.cost>=b.cost;
}
int n,m,nrsel,costtotal;
Muchie H[MMAX];
Muchie A[NMAX];
int tata[NMAX];
int h[NMAX];///h[i]=inaltimea arborelui cu radacina i
void creare();
void afisare(int n, Muchie H[]);
void inserare(int &n,Muchie H[], Muchie x);
void combinare(int n,Muchie H[],int poz);
Muchie extragereMin(int &n,Muchie H[]);
int Find(int x);///returneaza radadcina arborelui din care face parte x
void Union(int x,int y);///reuneste arborii x si y
int main()
{
int cx,cy,i;
Muchie mmin;
creare();
while (nrsel<n-1)
{
mmin=extragereMin(m,H);
cx=Find(mmin.x);
cy=Find(mmin.y);
if (cx!=cy)
{
nrsel++;
A[nrsel]=mmin;
costtotal+=mmin.cost;
Union(cx,cy);
}
}
fout<<costtotal<<'\n';
fout<<n-1<<'\n';
for(i=1;i<n;i++)
fout<<A[i].x<<' '<<A[i].y<<'\n';
return 0;
}
void combinare(int n,Muchie H[],int poz)
{
Muchie x=H[poz];
int fiu, tata;
tata=poz;
fiu=2*tata;
while (fiu<=n)
{
if (fiu+1<=n && H[fiu+1]<H[fiu]) fiu++;
if (x<=H[fiu]) break;
H[tata]=H[fiu];
tata=fiu;
fiu=2*tata;
}
H[tata]=x;
}
void creare()
{
int i;
fin>>n>>m;
for (i=1;i<=m;i++) fin>>H[i].x>>H[i].y>>H[i].cost;
for (i=m/2;i>0;i--)
combinare(m, H, i);
}
Muchie extragereMin(int &n,Muchie H[])
{
Muchie minim;
minim=H[1];
H[1]=H[n--];
combinare(n,H,1);
return minim;
}
int Find (int x) ///O(n)
{
int rad,aux;
rad=x;
while (tata[rad])
rad=tata[rad];
///compresia drumului
while (tata[x])
{
aux=tata[x];
tata[x]=rad;
x=aux;
}
return rad;
}
void Union(int x,int y)///O(1)
{
if (h[x]<h[y]) tata[x]=y;
else
{
tata[y]=x;
if (h[x]==h[y])
h[x]++;
}
}