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// Prim's algorithm
//
// Find the minimum spanning tree (MST) - a subset of the original graph that
// contains all nodes, but only n - 1 edges with the property that the total
// weight of the edges is minimal.
//
// Complexity:
// - dense graph: O(N^2)
// - sparse graph: O(M * logN)
#include <bits/stdc++.h>
using namespace std;
int n, m;
vector<vector<pair<int, int>>> adj;
vector<int> parent;
vector<pair<int, int>> ans;
int prim(int start)
{
priority_queue<pair<int, int>, vector<pair<int, int>>,
greater<pair<int, int>>>
pq;
vector<int> min_weight(n, INT_MAX);
vector<int> selected(n, false);
int total_weight = 0;
min_weight[start] = 0;
pq.push({0, start});
while (!pq.empty()) {
auto [weight, node] = pq.top();
pq.pop();
if (weight != min_weight[node])
continue;
selected[node] = true;
total_weight += weight;
if (parent[node] != -1)
ans.push_back({parent[node], node});
for (auto [next, next_weight] : adj[node]) {
if (!selected[next] && next_weight < min_weight[next]) {
min_weight[next] = next_weight;
parent[next] = node;
pq.push({next_weight, next});
}
}
}
return total_weight;
}
int main()
{
freopen("apm.in", "r", stdin);
freopen("apm.out", "w", stdout);
cin >> n >> m;
adj.resize(n);
parent.resize(n, -1);
ans.clear();
for (int i = 0; i < m; i++) {
int x, y, w;
cin >> x >> y >> w;
x--;
y--;
adj[x].push_back({y, w});
adj[y].push_back({x, w});
}
cout << prim(0) << '\n';
cout << ans.size() << '\n';
for (auto [in, out] : ans)
cout << in + 1 << ' ' << out + 1 << '\n';
return 0;
}