Cod sursa(job #2420715)

Utilizator cri25Berbecariu Crina cri25 Data 13 mai 2019 09:35:45
Problema Arbore partial de cost minim Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.83 kb
#include <fstream>
#include <algorithm>
#include <vector>
#include <queue>
#include <bitset>
#include <tuple>

using namespace std;

ifstream fin("apm.in");
ofstream fout("apm.out");

const int Inf = 0x3f3f3f3f;
const int MaxN = 200000;

struct Edge{
    Edge() : node {0}, key{0}
    {}
    Edge(int node, int key) :  node {node}, key {key}
    {}

    bool operator < (const Edge& e) const
    {
        return key > e.key;
    }

    int node, key;
};

int n;
bitset<MaxN> v;
vector<vector<pair<int, int>>> G;
vector<pair<int, int>> apm;
vector<int> key;
long long cost_apm;

void ReadGraph();
void Prim(int x);
void WriteAPM();

int main()
{
    ReadGraph();
    Prim(1);
    WriteAPM();
}

void ReadGraph()
{
    int a, b, w, m;
    fin >> n >> m;
    G = vector<vector<pair<int, int>>>(n + 1);

    while(m--)
    {
        fin >> a >> b >> w;
        G[a].emplace_back(b, w);
        G[b].emplace_back(a, w);
    }
}

void Prim(int x)
{
    priority_queue<Edge> Q;
    key = vector<int>(n + 1, Inf);
    vector<int> t = vector<int>(n + 1);

    int y, ky;
    key[x] = 0;
    Q.emplace(x, 0);
    while(!Q.empty())
    {
        x = Q.top().node;
        v[x] = 1;

        for(auto& p : G[x])
        {
            tie(y, ky) = p;
            if(v[y])
                continue;
            if(key[y] > ky)
            {
                key[y] = ky;
                t[y] = x;
                Q.emplace(y, ky);

            }

        }
        apm.emplace_back(x, t[x]);
        cost_apm += key[x];
        while(!Q.empty() && v[Q.top().node])
            Q.pop();


    }


}

void WriteAPM()
{
    fout << cost_apm << '\n' << apm.size() - 1 << '\n';

    for(size_t i = 1; i < apm.size(); ++i)
        fout << apm[i].first << ' ' << apm[i].second << '\n';
}