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#include <fstream>
#define NMAX 200000
#define MMAX 400000
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, nrsel, m, costotal, cx, cy;
int tata[NMAX], h[NMAX];
Muchie H[MMAX];
Muchie A[NMAX];
void creare();
void combinare(int n, Muchie H[], int poz);
Muchie extrageMin(int &n, Muchie H[]);
int Find(int x); /// returneaza radacina arboreluio din care face parte x
void Union(int x, int y); ///reuneste arborele cu radacina x cu arborele cu radacina y
int main()
{
int i;
Muchie mmin;
creare();
while (nrsel < n - 1)
{
mmin = extrageMin(m, H);//extrag o muchie de cost minim
cx = Find(mmin.x);
cy = Find(mmin.y);
if (cy != cx)
{
nrsel++;
A[nrsel] = mmin;
costotal += mmin.cost;
Union(cx, cy);
}
}
fout << costotal << '\n';
fout << n - 1 << '\n';
for (i = 1; i < n; i++)
fout << A[i].x << ' ' << A[i].y << '\n';
fout.close();
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 extrageMin(int &n, Muchie H[])
{Muchie minim=H[1];
H[1]=H[n--];
combinare(n,H,1);
return minim;
}
int Find(int x)
/// returneaza radacina arboreluio din care face parte x
{
int rad, aux;
rad = x;
while (tata[rad]) rad = tata[rad]; ///cat timp nodul are nod parinte urc
///compresia drumului
while (tata[x])
{
aux = tata[x];
tata[x] = rad;
x = aux;
}
return rad;
}
void Union(int x, int y)
///reuneste arborele cu radacina x cu arborele cu radacina y
{
if (h[x] < h[y]) tata[x] = y;
else
{
tata[y] = x;
if (h[x] == h[y]) h[x]++;
}
///O(1)
}