Cod sursa(job #3316363)

Utilizator prodsevenStefan Albu prodseven Data 18 octombrie 2025 15:56:25
Problema Arbore partial de cost minim Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.37 kb
#include <fstream>
#include <bitset>
#include <vector>
#include <queue>
#include <climits>

using namespace std;

ifstream cin("apm.in");
ofstream cout("apm.out");

int n, m;
vector<vector<pair<int, int>>> graf;
bitset<(int)(2e5 + 2)> viz;
priority_queue<pair<int, int>, vector<pair<int, int>>, greater<>> pq;
vector<int> parent;
vector<int> dist;
int totalCost = 0;

void prim() {
    pq.push({0, 1});
    dist[1] = 0;
    while (!pq.empty()) {
        auto [distance, node] = pq.top();
        pq.pop();
        if (!viz[node]) {
            for (auto [new_node, new_distance] : graf[node]) {
                if (!viz[new_node] && new_distance < dist[new_node]) {
                    dist[new_node] = new_distance;
                    pq.push({dist[new_node], new_node});
                    parent[new_node] = node;
                }
            }
            viz[node] = 1;
            totalCost += distance;
        }
    }
}

int main() {
    cin >> n >> m;
    graf.resize(n + 2);
    dist.resize(n + 2, INT_MAX);
    parent.resize(n + 2);
    for (int i = 1 ; i <= m ; ++i) {
        int src, dest, cost;
        cin >> src >> dest >> cost;
        graf[src].push_back({dest, cost});
        graf[dest].push_back({src, cost});
    }
    prim();
    cout << totalCost << "\n" << n - 1 << "\n";
    for (int i = 2 ; i <= n ; ++i) {
        cout << i << " " <<  parent[i] << "\n";
    }
    return 0;
}