Cod sursa(job #1967850)

Utilizator mariapascuMaria Pascu mariapascu Data 17 aprilie 2017 10:45:18
Problema Arbore partial de cost minim Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.42 kb
#include <fstream>
#include <vector>
#include <algorithm>
using namespace std;

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

struct Edge {
    int x, y, w;
    bool operator < (const Edge & E) const {
        return w < E.w;
    }
};

int n, m, k, s;
vector<Edge> E;
vector<Edge> Ans;
vector<int> t, h;

void Read();
void Kruskal();
void Union(int x, int y);
int Find(int x);
void Write();

int main() {
    Read();
    Kruskal();
    Write();
    fin.close();
    fout.close();
    return 0;
}

void Kruskal() {
    t = h = vector<int>(n + 1);
    for (int i = 1; i <= n; i++)
        t[i] = i, h[i] = 1;
    sort(E.begin(), E.end());
    int c1, c2;
    for (const auto & e : E) {
        c1 = Find(e.x);
        c2 = Find(e.y);
        if (c1 == c2) continue;
        k++; s += e.w;
        Ans.push_back(e);
        Union(c1, c2);
        if (k == n - 1) break;
    }
}

int Find(int x) {
    if (t[x] == x) return x;
    return t[x] = Find(t[x]);
}

void Union(int x, int y) {
    if (h[x] < h[y]) t[x] = y;
    else {
        t[y] = x;
        if (h[x] == h[y]) h[x]++;
    }
}

void Write() {
    fout << s << '\n' << k << '\n';
    for (const auto & e : Ans)
        fout << e.x << ' ' << e.y << '\n';
}

void Read() {
    fin >> n >> m;
    int x, y, w;
    for (int i = 1; i <= m; i++) {
        fin >> x >> y >> w;
        E.push_back({x, y, w});
    }
}