#include <bits/stdc++.h>
using namespace std;
ifstream f("apm.in");
ofstream g("apm.out");
/** /// PARCURGERE BF
int a,b,n,m;
class graph
{
int nr;
vector<int> *v;
public:
graph(int nr);
void adauga(int x, int y);
void bfs(int k);
};
graph::graph(int nr)
{
this->nr=nr;
v=new vector<int>[nr];
}
void graph::adauga(int x, int y)
{
v[x].push_back(y);
v[y].push_back(x);
}
void graph::bfs(int k)
{
bool *viz=new bool(nr);
for(int i=0;i<nr;i++)
viz[i]=false;
queue<int> q;
viz[k]=1;
q.push(k);
while(!q.empty())
{
k=q.front();
g<<k<<'\n';
q.pop();
for(int i=0;i<v[k].size();i++)
if(!viz[v[k][i]])
{
viz[v[k][i]]=true;
q.push(v[k][i]);
}
}
}
int main()
{
f>>n>>m;
n++;
graph g(n);
for(int i=1;i<=m;i++)
{
f>>a>>b;
g.adauga(a,b);
}
g.bfs(1);
return 0;
}
**/
/** /// PARCURGERE DF
int n,m,a,b;
class graph
{
int nr;
vector<int> *v;
public:
graph(int nr);
void adauga(int x, int y);
void dfs(int k);
};
graph::graph(int nr)
{
this->nr=nr;
v=new vector<int>[nr];
}
void graph::adauga(int x, int y)
{
v[x].push_back(y);
v[y].push_back(x);
}
void graph::dfs(int k)
{
vector<bool> viz(nr,false);
stack<int> s;
s.push(k);
while(s.size())
{
k=s.top();
s.pop();
if(!viz[k])
{
viz[k]=true;
g<<k<<'\n';
}
for(int i=0;i<v[k].size();i++)
if(!viz[v[k][i]]) s.push(v[k][i]);
}
}
int main()
{
f>>n>>m;
n++;
graph g(n);
for(int i=1;i<=m;i++)
{
f>>a>>b;
g.adauga(a,b);
}
g.dfs(1);
return 0;
}
**/
/** /// ALGORITMUL DIJKSTRA
#define INF 0x3f3f3f3f
typedef pair<int,int> T;
int n,m,a,b,cost;
class graph
{
int nr;
vector<T> *v;
public:
graph(int nr);
void adaugare(int x, int y, int c);
void dijkstra(int k);
};
graph::graph(int nr)
{
this->nr=nr;
v=new vector<T>[nr];
}
void graph::adaugare(int x, int y, int c)
{
v[x].push_back({y,c});
///v[y].push_back({x,c});
}
void graph::dijkstra(int k)
{
priority_queue <T,vector<T>,greater<T> > pq;
vector<int> dist(nr,INF);
vector<int> viz(nr,false);
pq.push({0,k});
dist[k]=0; int ok=0;
while(pq.size())
{
int nod=pq.top().second;
pq.pop();
if(viz[nod]==nr)
{
ok=1;
break;
}
for(int i=0;i<v[nod].size();i++)
{
int nodi=v[nod][i].first;
int w=v[nod][i].second;
if(dist[nodi]>dist[nod]+w)
{
dist[nodi]=dist[nod]+w;
pq.push({dist[nodi],nodi});
viz[nodi]++;
}
}
}
for(int i=2;i<nr;i++)
if(dist[i]!=INF) g<<dist[i]<<" "; else g<<0<<" ";
}
int main()
{
f>>n>>m;
graph g(n+1);
for(int i=1;i<=m;i++)
{
f>>a>>b>>cost;
g.adaugare(a,b,cost);
}
g.dijkstra(1);
return 0;
}
**/
/// ALGORITMUL LUI PRIM
#define INF 0x3f3f3f3f
typedef pair<int,int> T;
int n,m,a,b,cost;
class graph
{
int nr;
vector<T> *v;
public:
graph(int nr);
void adaugare(int x, int y, int c);
void prim(int k);
};
graph::graph(int nr)
{
this->nr=nr;
v=new vector<T>[nr];
}
void graph::adaugare(int x, int y, int c)
{
v[x].push_back({y,c});
v[y].push_back({x,c});
}
void graph::prim(int k)
{
priority_queue<T,vector<T>,greater<T> > pq;
vector<int> key(nr,INF);
vector<int> tata(nr,-1);
vector<bool> in_arb(nr,false);
int src=k;
pq.push({0,src});
key[src]=0;
while(pq.size())
{
int nod=pq.top().second;
pq.pop();
in_arb[nod]=true;
for(int i=0;i<v[nod].size();i++)
{
int nodi=v[nod][i].first;
int w=v[nod][i].second;
if(!in_arb[nodi]&&key[nodi]>w)
{
key[nodi]=w;
pq.push({w,nodi});
tata[nodi]=nod;
}
}
}
int sum=0, num=0;
for(int i=2;i<nr;i++)
{
sum+=key[i];
if(key[i]) num++;
}
g<<sum<<'\n'<<num<<'\n';
for(int i=2;i<nr;i++)
g<<tata[i]<<" "<<i<<'\n';
}
int main()
{
f>>n>>m;
graph g(n+1);
for(int i=1;i<=m;i++)
{
f>>a>>b>>cost;
g.adaugare(a,b,cost);
}
g.prim(1);
return 0;
}