Problem: Example

Input

4 4
1 2 3
1 3 3
2 3 3
2 4 3


Output

1 3

Solution (in CPP):

Solution:
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <climits>
#include <cfloat>
#include <ctime>
#include <cassert>
#include <map>
#include <utility>
#include <set>
#include <iostream>
#include <memory>
#include <string>
#include <vector>
#include <algorithm>
#include <functional>
#include <sstream>
#include <complex>
#include <stack>
#include <queue>
#include <numeric>
#include <list>
#include <iomanip>
#include <fstream>
#include <bitset>

using namespace std;

#define foreach(it, c) for (__typeof__((c).begin()) it=(c).begin(); it != (c).end(); ++it)
template <typename T> void print_container(ostream& os, const T& c) { const char* _s = " "; if (!c.empty()) { __typeof__(c.begin()) last = --c.end(); foreach (it, c) { os << *it; if (it != last) os << _s; } } }
template <typename T> ostream& operator<<(ostream& os, const vector<T>& c) { print_container(os, c); return os; }
template <typename T> ostream& operator<<(ostream& os, const set<T>& c) { print_container(os, c); return os; }
template <typename T> ostream& operator<<(ostream& os, const multiset<T>& c) { print_container(os, c); return os; }
template <typename T> ostream& operator<<(ostream& os, const deque<T>& c) { print_container(os, c); return os; }
template <typename T, typename U> ostream& operator<<(ostream& os, const map<T, U>& c) { print_container(os, c); return os; }
template <typename T, typename U> ostream& operator<<(ostream& os, const pair<T, U>& p) { os << "(" << p.first << ", " << p.second << ")"; return os; }

template <typename T> void print(T a, int n, const string& split = " ") { for (int i = 0; i < n; i++) { cout << a[i]; if (i + 1 != n) cout << split; } cout << endl; }
template <typename T> void print2d(T a, int w, int h, int width = -1, int br = 0) { for (int i = 0; i < h; ++i) { for (int j = 0; j < w; ++j) { if (width != -1) cout.width(width); cout << a[i][j] << ' '; } cout << endl; } while (br--) cout << endl; }
template <typename T> void input(T& a, int n) { for (int i = 0; i < n; ++i) cin >> a[i]; }
#define dump(v) (cerr << #v << ": " << v << endl)

#define rep(i, n) for (int i = 0; i < (int)(n); ++i)
#define erep(i, n) for (int i = 0; i <= (int)(n); ++i)
#define all(a) (a).begin(), (a).end()
#define rall(a) (a).rbegin(), (a).rend()
#define clr(a, x) memset(a, x, sizeof(a))
#define sz(a) ((int)(a).size())
#define mp(a, b) make_pair(a, b)
#define ten(n) ((long long)(1e##n))

template <typename T, typename U> void upmin(T& a, const U& b) { a = min<T>(a, b); }
template <typename T, typename U> void upmax(T& a, const U& b) { a = max<T>(a, b); }
template <typename T> void uniq(T& a) { sort(a.begin(), a.end()); a.erase(unique(a.begin(), a.end()), a.end()); }
template <class T> string to_s(const T& a) { ostringstream os; os << a; return os.str(); }
template <class T> T to_T(const string& s) { istringstream is(s); T res; is >> res; return res; }
void fast_io() { cin.tie(0); ios::sync_with_stdio(false); }
bool in_rect(int x, int y, int w, int h) { return 0 <= x && x < w && 0 <= y && y < h; }

typedef long long ll;
typedef pair<int, int> pint;

const int dx[] = { 0, 1, 0, -1 };
const int dy[] = { 1, 0, -1, 0 };



#define FOR foreach
#define REP rep
struct Edge {
  int src, dst;
  Edge(int src, int dst)
      : src(src), dst(dst){}
};
typedef vector<Edge> Edges;
typedef vector<Edges> Graph;
void visit(const Graph & g, int v, int u,
    Edges& brdg, vector< vector<int> >& tecomp,
    stack<int>& roots, stack<int>& S, vector<bool>& inS,
    vector<int>& num, int& time) {
  num[v] = ++time;
  S.push(v); inS[v] = true;
  roots.push(v);
  FOR(e, g[v]) {
    int w = e->dst;
    if (num[w] == 0)
      visit(g, w, v, brdg, tecomp, roots, S, inS, num, time);
    else if (u != w && inS[w])
      while (num[roots.top()] > num[w]) roots.pop();
  }
  if (v == roots.top()) {
    brdg.push_back(Edge(u, v));
    tecomp.push_back(vector<int>());
    while (1) {
      int w = S.top(); S.pop(); inS[w] = false;
      tecomp.back().push_back(w);
      if (v == w) break;
    }
    roots.pop();
  }
}
void bridge(const Graph& g, Edges& brdg, vector< vector<int> >& tecomp) {
  const int n = g.size();
  vector<int> num(n);
  vector<bool> inS(n);
  stack<int> roots, S;
  int time = 0;
  REP(u, n) if (num[u] == 0) {
    visit(g, u, n, brdg, tecomp, roots, S, inS, num, time);
    brdg.pop_back();
  }
}

class UnionFind
{
private:
    vector<int> data;
    int _groups;
public:
    int n;
    UnionFind(int n) : data(n, -1), _groups(n), n(n) { }

    void unite(int x, int y)
    {
        x = root(x), y = root(y);
        if (x != y)
        {
            --_groups;
            if (data[x] > data[y])
                swap(x, y);
            data[x] += data[y];
            data[y] = x;
        }
    }
    bool same(int x, int y) { return root(x) == root(y); }
    int root(int x) { return data[x] < 0 ? x : data[x] = root(data[x]); }
    int size(int x) { return -data[root(x)]; }
    int groups() const { return _groups; }
};
int main()
{
    fast_io();

    int n, m;
    while (cin >> n >> m)
    {
        vector<pint> edges[ten(4) + 11];
        rep(i, m)
        {
            int s, d, c;
            cin >> s >> d >> c;
            --s, --d;
            edges[c].push_back(pint(s, d));
        }

        UnionFind uf(n);
        Graph cg(n);
        int sum = 0, num = 0;
        rep(cost, ten(4) + 3)
        {
            if (edges[cost].empty())
                continue;

            set<pint> added;
            auto g = cg;
            for (auto& e : edges[cost])
            {
                int u = e.first, v = e.second;
                if (!uf.same(u, v))
                {
                    added.insert(pint(u, v));
                    g[u].push_back(Edge(u, v));
                    g[v].push_back(Edge(v, u));
                }
            }

            vector<Edge> bri;
            vector<vector<int>> co;
            bridge(g, bri, co);
            int k = 0;
            for (auto& it : bri)
            {
                int u = it.src, v = it.dst;
                if (u > v)
                    swap(u, v);
                if (added.count(pint(u, v)))
                    ++k;
            }
            num += k;
            sum += cost * k;

            for (auto& e : edges[cost])
            {
                int u = e.first, v = e.second;
                if (!uf.same(u, v))
                {
                    uf.unite(u, v);
                    cg[u].push_back(Edge(u, v));
                    cg[v].push_back(Edge(v, u));
                }
            }
        }
        cout << num << " " << sum << endl;
    }
}