Cod sursa(job #3271267)

Utilizator pascarualexPascaru Alexandru pascarualex Data 25 ianuarie 2025 16:01:50
Problema Arbore partial de cost minim Scor 0
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.74 kb
#include<bits/stdc++.h>

using namespace std;

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

struct edge {
    int x,y,cost;
};

bool cmp(edge a, edge b) {
    return a.cost < b.cost;
}

struct DSU {
    vector<int> p, h;

    DSU(int n) {
        p.resize(n + 1);
        h.resize(n + 1);
        for (int i = 1 ; i <= n ; i ++) {
            p[i] = i;
            h[i] = 1;
        }
    }

    int Find(int x) {
        int r = x;
        while (p[r] != r) {
            r = p[r];
        }

        //actualizam toti copii la tatal lor este optimazare decat sa tot cauti din tata in fiu
        int y = x;
        while (y != r) {
            int aux = p[y];
            p[y] = r;
            y = aux;
        }

        return r;
    }

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

};

void Kruskal(int n, int m) {
    DSU d(n);

    vector<edge> e;

    for (int i = 1 ; i <= m ; i ++) {
        int x,y,c;
        fin >> x >> y >> c;
        e.push_back({x,y,c});
    }
    sort(e.begin(),e.end(),cmp);

    int apm = 0 ;
    vector<edge> sol;

    for (auto i : e) {
        if (d.Find(i.x) != d.Find(i.y)) {
            d.Union(i.x,i.y);
            apm += i.cost;
            sol.push_back(i);
        }
    }

    fout << apm << '\n' << sol.size() << '\n';

    for (auto it : sol) {
        fout << it.x << ' ' << it.y << '\n';
    }
}

int main() {
    int n,m;
    fin >> n >> m;
    Kruskal(n,m);
    return 0;

}