#include <fstream>
#include <vector>
#include <algorithm>
using namespace std;
ifstream f("apm.in");
ofstream g("apm.out");
// Structura pentru muchie
struct Muchie
{
int x, y, cost;
};
// Disjoint Set Union (Union-Find) pentru Kruskal
vector<int> parinte, rang;
int find(int x)
{
if (parinte[x] != x)
parinte[x] = find(parinte[x]); // path compression
return parinte[x];
}
bool unite(int x, int y)
{
int px = find(x);
int py = find(y);
if (px == py)
return false; // deja in aceeasi componenta
// union by rank
if (rang[px] < rang[py])
swap(px, py);
parinte[py] = px;
if (rang[px] == rang[py])
rang[px]++;
return true;
}
int main()
{
int n, m;
f >> n >> m;
vector<Muchie> muchii(m);
for (int i = 0; i < m; i++)
{
f >> muchii[i].x >> muchii[i].y >> muchii[i].cost;
}
// Initializare DSU
parinte.resize(n + 1);
rang.resize(n + 1, 0);
for (int i = 1; i <= n; i++)
{
parinte[i] = i;
}
// Sortare muchii dupa cost
sort(muchii.begin(), muchii.end(), [](const Muchie &a, const Muchie &b)
{ return a.cost < b.cost; });
// Kruskal: selectam muchii in ordine crescatoare a costului
long long costTotal = 0;
vector<pair<int, int>> muchiiAPM;
for (const Muchie &m : muchii)
{
if (unite(m.x, m.y))
{
costTotal += m.cost;
muchiiAPM.push_back({m.x, m.y});
// Arborele are exact N-1 muchii
if ((int)muchiiAPM.size() == n - 1)
break;
}
}
// Afisare rezultat
g << costTotal << "\n";
g << muchiiAPM.size() << "\n";
for (auto &muchie : muchiiAPM)
{
g << muchie.first << " " << muchie.second << "\n";
}
return 0;
}