ACMContestAndBlackout_UVA10600OJ.cpp

#include <algorithm>
#include <cmath>
#include <cstdio>
#include <cstdlib>
#include <fstream>
#include <iomanip>
#include <iostream>
#include <list>
#include <string>
#include <vector>

using namespace std;


struct edge
{
    int u;
    int v;
    int d;

    bool operator < (const edge & temp) const
    {
        return d < temp.d;
    }
};

int _find(int u, vector<int> & p)
{
    if (p[u] == u)
    {
        return u;
    }
    else
    {
        int ans = _find(p[u], p);
        p[u] = ans;
        return ans;
    }
}

int _count(int u, int end, vector<vector<int>> & g, vector<bool> & visit)
{
    if (u == end)
    {
        return 1;
    }
    else if (visit[u] == true)
    {
       	return 0;
    }
    else
    {
        visit[u] = true;

        int size0 = g[u].size(), ans = 0;
        for(int i = 0; i <= size0 - 1; ++i)
        {
            ans += _count(g[u][i], end, g, visit);
        }

        return ans;
    }
}

int main()
{
	ios_base::sync_with_stdio(false);
	std::cin.tie(NULL);
    int caseT; cin >> caseT;
    for (int caseC = 1; caseC <= caseT; ++caseC)
    {
        int schT, conT; cin >> schT >> conT;
        vector<int> p(schT + 1);
        vector<bool> mark(conT, false);
        vector<edge> ways, pickeds, unpickeds;
        for (int conC = 1; conC <= conT; ++conC)
        {
            int u, v, d; cin >> u >> v >> d;

            edge temp{u, v, d};
            ways.push_back(temp);
        }
        sort(ways.begin(), ways.end());
        for (int i = 1; i <= schT; ++i)
        {
            p[i] = i;
        }

        int total0 = 0, total1 = 2147483647;
        vector<vector<int>> g(schT + 1);
        for (int i = 1, j = 0; i <= schT - 1 && j <= conT - 1; ++j)
        {
            int res0 = _find(ways[j].u, p), res1 = _find(ways[j].v, p);

            if (res0 == res1)
            {
                continue;
            }

            p[res0] = res1;

            g[ways[j].u].push_back(ways[j].v);
            g[ways[j].v].push_back(ways[j].u);
            mark[j] = true;
            total0 += ways[j].d;
            pickeds.push_back(ways[j]);

            ++i;
        }

        for (int i = 0; i <= conT - 1; ++i)
        {
            if (mark[i] == false)
            {
                unpickeds.push_back(ways[i]);
            } 
        }
        
        int size0 = pickeds.size(), size1 = unpickeds.size();
        for (int i = 0; i <= size0 - 1; ++i)
        {
            for (int j = 0; j <= size1 - 1; ++j)
            {
                vector<bool> visit(schT + 1, false);
                vector<vector<int>> gTemp = g;
                gTemp[unpickeds[j].u].push_back(unpickeds[j].v);
                gTemp[unpickeds[j].v].push_back(unpickeds[j].u);
                int res = _count(pickeds[i].u, pickeds[i].v, gTemp, visit);

                if (res == 2)
                {
                    total1 = min(total1, total0 - pickeds[i].d + unpickeds[j].d);
                }
            }
        }

        cout << total0 << ' ' << total1 << '\n';
    }

   	cout.flush();
   	return 0;
}