#include <iostream>
#include <fstream>
#include <vector>
#include <queue>
#include <stack>
#include <list>
using namespace std;
ifstream in("apm.in");
ofstream out("apm.out");
const int maxi = 200001;
const bool problema = 1; //0 pt problema bfs
class Graf
{
private:
int n, m, s;
vector<int> v[maxi];
public:
Graf(bool tip);
void bfs(); //bfs
void dfs(int nod, int viz[]); //nr componente conexe
void nrconex(); //-----
void dfstop(int nod, int viz[], stack<int> &s); //sortare topologica
void sortaret(); //-----
void ctc(); //nr componente tare conexe
void ordine(int nod, int viz[], stack<int> &s); //-----
void dfsctc(int nod, int viz[], int ok); //-----
Graf trans(); //-----
};
class muchiecost
{
public:
int st, dr, cost;
};
class Grafcost{
public:
int n,m;
muchiecost* muchie;
};
Grafcost* creeazagraf(int n, int m)
{
Grafcost* g= new Grafcost;
g->n=n;
g->m=m;
g->muchie=new muchiecost[m];
return g;
}
class subset
{
public:
int parent;
int rank;
};
Graf::Graf(bool tip) //true pt orientat
{
int i;
muchiecost muchie;
in >> n >> m;
if (problema == 0)
in >> s;
for (i = 1; i <= m; i++)
{
int x, y, c;
in >> x >> y;
v[x].push_back(y);
if (tip == false)
v[y].push_back(x);
}
}
void Graf::bfs()
{
int i;
int dist[n + 1];
for (i = 1; i <= n; i++)
dist[i] = -1;
dist[s] = 0;
queue<int> q;
q.push(s);
while (!q.empty())
{
int nc = q.front(); //nod curent
for (i = 0; i < v[nc].size(); i++) //parcurgerm vecinii lui nc
{
if (dist[v[nc][i]] == -1)
{
q.push(v[nc][i]);
dist[v[nc][i]] = dist[nc] + 1;
}
}
q.pop();
}
for (i = 1; i <= n; i++)
out << dist[i] << " ";
out.close();
}
void Graf::dfs(int nod, int viz[])
{
viz[nod] = 1;
int i;
for (i = 0; i < v[nod].size(); i++) //parcurgem vecinii nodului, se marcheaza toata componenta conexa ca fiind vizitata
{
if (viz[v[nod][i]] == 0)
{
dfs(v[nod][i], viz);
}
}
}
void Graf::nrconex()
{
int k = 0, i;
int viz[n + 1] = {0};
for (i = 1; i <= n; i++)
if (viz[i] == 0)
{
dfs(i, viz);
k++;
}
out << k;
}
void Graf::dfstop(int nod, int viz[], stack<int> &s)
{
viz[nod] = 1;
int i;
for (i = 0; i < v[nod].size(); i++)
{
if (viz[v[nod][i]] == 0)
dfstop(v[nod][i], viz, s);
}
s.push(nod);
}
void Graf::sortaret()
{
int i;
stack<int> s;
int viz[n + 1] = {0};
for (i = 1; i <= n; i++)
if (viz[i] == 0)
dfstop(i, viz, s);
while (!s.empty())
{
out << s.top() << " ";
s.pop();
}
}
void Graf::dfsctc(int nod, int viz[], int ok) //afisam dfs incepand din nod
{
viz[nod] = 1;
if (ok == 1)
out << nod << " ";
int i;
for (i = 0; i < v[nod].size(); i++)
{
if (viz[v[nod][i]] == 0)
dfsctc(v[nod][i], viz, ok);
}
}
Graf Graf::trans()
{
int i;
Graf g(true);
for (i = 1; i <= n; i++) //parcurgem nodurile
{
vector<int>::iterator j;
for (j = v[i].begin(); j != v[i].end(); j++) //parcurgem vecinii fiecarui nod
g.v[*j].push_back(i); //in transpusa punem arcul inversat
}
return g;
}
void Graf::ordine(int nod, int viz[], stack<int> &s) //punem in stack nodurile dupa timpul de finalizare
{
viz[nod] = 1;
for (int i = 0; i < v[nod].size(); i++)
if (viz[v[nod][i]] == 0)
ordine(v[nod][i], viz, s);
s.push(nod);
}
void Graf::ctc()
{
int i, k = 0, ok = 0;
stack<int> s;
stack<int> s2;
int viz[n + 1] = {0};
for (i = 1; i <= n; i++)
if (viz[i] == 0)
ordine(i, viz, s); //cream stackul cu timpurile de finalizare
Graf gr = trans();
for (i = 1; i <= n; i++)
viz[i] = 0; //reinitializam ca nevizitate pt al doilea dfs
s2 = s;
while (!s.empty()) //mai intai doar le numaram
{
int nod = s.top();
s.pop();
if (viz[nod] == 0)
{
gr.dfsctc(nod, viz, ok);
k++;
}
}
ok = 1;
out << k << endl;
for (i = 1; i <= n; i++)
viz[i] = 0;
while (!s2.empty()) //parcurgem iar si afisam componentele
{
int nod = s2.top();
s2.pop();
if (viz[nod] == 0)
{
gr.dfsctc(nod, viz, ok);
out << endl;
}
}
}
int find(subset subsets[], int i)
{
if (subsets[i].parent != i)
subsets[i].parent = find(subsets, subsets[i].parent);
return subsets[i].parent;
}
void uniune(subset subsets[], int x, int y)
{
int xrad = find(subsets, x);
int yrad = find(subsets, y);
if (subsets[xrad].rank < subsets[yrad].rank)
subsets[xrad].parent = yrad;
else if (subsets[xrad].rank > subsets[yrad].rank)
subsets[yrad].parent = xrad;
else
{
subsets[yrad].parent = xrad;
subsets[xrad].rank++;
}
}
int comp(const void* a, const void* b)
{
muchiecost* a1=(muchiecost*)a;
muchiecost* b1=(muchiecost*)b;
return a1->cost>b1->cost;
}
void kruskal(Grafcost* g)
{
int n=g->n;
muchiecost rez[n];
int e=0,i=0;
qsort(g->muchie,g->m,sizeof(g->muchie[0]),comp);
subset* subsets=new subset[(n*sizeof(subset))];
for(int j=0;j<n;j++)
{
subsets[j].parent=j;
subsets[j].rank=0;
}
while(e<n-1&&i<g->m)
{
muchiecost urm=g->muchie[i++];
int x=find(subsets,urm.st);
int y=find(subsets, urm.dr);
if(x!=y)
{
rez[e++]=urm;
uniune(subsets,x,y);
}
}
int mini=0;
int k=0;
for(i=0;i<e;i++)
{
mini=mini+rez[i].cost;
k++;
}
out<<mini<<endl<<k<<endl;
for(i=0;i<e;i++)
{
out<<rez[i].dr<<" "<<rez[i].st<<endl;
}
}
int main()
{
int n,m;
in>>n>>m;
Grafcost* g=creeazagraf(n,m);
int i;
for(i=0;i<m;i++)
{
int x,y,c;
in>>x>>y>>c;
g->muchie[i].st=x;
g->muchie[i].dr=y;
g->muchie[i].cost=c;
}
kruskal(g);
return 0;
}