Cod sursa(job #2952893)

Utilizator Matei_MunteanuMunteanu Matei Ioan Matei_Munteanu Data 10 decembrie 2022 10:32:26
Problema Arbore partial de cost minim Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.74 kb
#include <bits/stdc++.h>
using namespace std;

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

int n, m;
vector<tuple<int, int, int>> edges;
vector<pair<int, int>> sol;
long long rez;

struct DisjointSetUnion
{
    vector<int> p;
    vector<int> size;
    void init()
    {
        p.assign(n + 1, 0);
        size.assign(n + 1, 0);
        for (int i = 1; i <= n; i++)
        {
            p[i] = i;
            size[i] = 1;
        }
    }

    int repr(int u)
    {
        if (u != p[u])
        {
            p[u] = repr(p[u]);
        }
        return p[u];
    }

    bool same(int u, int v)
    {
        return (repr(u) == repr(v));
    }

    void unite(int u, int v)
    {
        int repr_u = repr(u);
        int repr_v = repr(v);
        if (size[repr_u] < size[repr_v])
        {
            swap(repr_u, repr_v);
        }
        p[repr_v] = repr_u;
        size[repr_u] += size[repr_v];
    }
} DSU;

bool cmp(tuple<int, int, int> a, tuple<int, int, int> b)
{
    return get<2>(a) < get<2>(b);
}

void kruskal()
{
    sort(edges.begin(), edges.end(), cmp);
    DSU.init();
    for (auto edge : edges)
    {
        if (!DSU.same(get<0>(edge), get<1>(edge)))
        {
            sol.push_back({get<0>(edge), get<1>(edge)});
            rez += get<2>(edge);
            DSU.unite(get<0>(edge), get<1>(edge));
        }
    }
}

int main()
{
    fin >> n >> m;
    for (int i = 1; i <= m; i++)
    {
        int a, b, c;
        fin >> a >> b >> c;
        edges.push_back({a, b, c});
    }
    kruskal();
    fout << rez << '\n';
    fout << n - 1 << '\n';
    for (auto edge : sol)
    {
        fout << edge.first << ' ' << edge.second << '\n';
    }
    return 0;
}