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#include <string>
#include <vector>
#include <fstream>
#include <tuple>
#include <algorithm>
using std::string;
using std::vector;
class Kruskal {
private:
string input_file;
string output_file;
int n, cost;
vector<std::tuple<int, int, int>> muchii;
vector<std::pair<int, int>> result;
int* t;
int* r;
void read() {
std::ifstream in{ input_file, std::ios::in };
int m, x, y, w;
in >> n >> m;
t = new int[n + 1];
r = new int[n + 1];
for (int i = 1; i <= m; ++i) {
in >> x >> y >> w;
muchii.push_back({ w, x, y });
}
for (int i = 1; i <= n; ++i) {
t[i] = i;
r[i] = 1;
}
in.close();
}
int find(int x) {
if (t[x] == x) {
return x;
}
return t[x] = find(t[x]);
}
void unite(int x, int y) {
if (r[x] > r[y]) {
t[y] = x;
r[x] += r[y];
}
else {
t[x] = y;
r[y] += r[x];
}
}
void solve() {
std::sort(muchii.begin(), muchii.end());
for (const auto& muchie : muchii) {
int x = std::get<1>(muchie);
int y = std::get<2>(muchie);
int c = std::get<0>(muchie);
if (find(x) != find(y)) {
unite(find(x), find(y));
cost += c;
result.push_back(std::make_pair(x, y));
}
}
}
public:
Kruskal(const string& input_file, const string& output_file) : input_file{ input_file }, output_file{ output_file }, cost{ 0 }{
read();
solve();
};
void print() {
std::ofstream out(output_file);
out << cost << '\n' << result.size() << '\n';
for (const auto& muchie : result) {
out << muchie.first << " " << muchie.second << '\n';
}
out.close();
}
};
int main(int argc, char** argv) {
Kruskal k{ "apm.in", "apm.out" };
k.print();
return 0;
}