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/// Aceasta sursa face sortarea si se ocupa de multimile disjuncte manual
#define fisier "apm"
#ifdef fisier
#include <fstream>
std::ifstream in(fisier ".in");
std::ofstream out(fisier ".out");
#else
#include <iostream>
#define in std::cin
#define out std::cout
#endif
const int
N = 100000,
M = 400000,
C_MIN = -1000, C_MAX = 1000;
int n, m;
#include <utility>
struct Muchie
{
std::pair<int, int> incidente;
int cost;
inline bool operator <= (Muchie& alta)
{return cost <= alta.cost;}
inline bool operator < (int& alt_cost)
{return cost < alt_cost;}
}
*muchii;
int pivot(int start, int end, Muchie& val)
{
int piv = start;
for (; start < end; start++)
if (muchii[start] <= val)
std::swap(muchii[piv++], muchii[start]);
return piv;
}
void sorteaza(int start, int end)
{
if (start == end)
return;
int piv = pivot(start, end, muchii[end - 1]);
sorteaza(start, piv - 1);
sorteaza(piv, end);
}
#include <vector>
namespace arbore_partial
{
int
*set,
nr_muchii,
cost;
Muchie* muchii;
int radacina(int rad)
{
std::vector<int> drum;
while (set[rad])
{
drum.push_back(rad);
rad = set[rad] - 1;
}
for (int varf: drum)
{
set[varf] = rad + 1;
}
return rad;
}
void gestioneaza(Muchie& muchie)
{
int
&a = muchie.incidente.first,
&b = muchie.incidente.second,
rad_a = radacina(a),
rad_b = radacina(b);
if (rad_a != rad_b) // nu sunt in aceeasi componenta conexa (in arborele partial)
{
set[rad_a] = rad_b + 1;
muchii[nr_muchii++] = muchie;
cost += muchie.cost;
}
}
}
using arbore_partial::gestioneaza;
using arbore_partial::radacina;
int main()
{
in >> n >> m;
muchii = new Muchie[m];
for (int i = 0; i < m; i++)
{
int a, b, cost;
in >> a >> b >> cost;
a--, b--;
muchii[i] = {{a, b}, cost};
}
sorteaza(0, m);
arbore_partial::set = new int[n]();
arbore_partial::muchii = new Muchie[n - 1];
for (int i = 0; i < m; i++)
gestioneaza(muchii[i]);
delete[] muchii;
delete[] arbore_partial::set;
out
<< arbore_partial::cost << '\n'
<< n - 1 << '\n';
for (int i = 0; i < n - 1; i++)
{
auto& incidente = arbore_partial::muchii[i].incidente;
int
&a = incidente.first,
&b = incidente.second;
out << a + 1 << ' ' << b + 1 << '\n';
}
delete[] arbore_partial::muchii;
}