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#include <fstream>
#define NMAX 200002
#define MAX 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;
int cx, cy, nrsel, sum;
muchie H[NMAX];
muchie A[NMAX];
int tata[MAX], h[MAX]; /// h[i] h arbore cu rad i;
int Find(int x); ///cauta radacina x
void Union(int x, int y); ///reuneste arborii x si y
void creare();
void combinare(int n, muchie H[], int poz);
muchie extrageMin(int &n, muchie H[]);
int main()
{muchie mmin;
int i;
creare();
while(nrsel < n - 1)
{
mmin = extrageMin(m, H);
cx = Find(mmin.x);
cy = Find(mmin.y);
if(cx != cy)
{
nrsel++;
A[nrsel] = mmin;
sum += mmin.cost;
Union(cx, cy);
}
}
fout << sum << '\n';
fout << n - 1 << '\n';
for(i=1;i<n;i++)
fout << A[i].x << A[i].y << A[i].cost << '\n';
fout.close();
return 0;
}
int Find(int x) ///cauta radacina x /// O(n)
{int rad, aux;
while(tata[rad]) rad = tata[rad];
//compresia drum
while(tata[x])
{
aux = tata[x];
tata[x] = rad;
x = aux;
}
return rad;
}
void Union(int x, int y) ///reuneste arborii x si y
{
if(h[x] < h[y])
tata[x] = y;
else if(h[x] > h[y])
tata[y] = x;
else {tata[y] = x; h[x]++;}
///O(1)
}
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;
}