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#include <fstream>
#include <list>
using namespace std;
ifstream fin("apm.in");
ofstream fout("apm.out");
int n, m, i, x, y, c, APMcost;
bool inAPM[200100];
struct edge{int nod, cost; };
struct heapVals{int nod, cost, from; } best;
struct {heapVals vals[200100]; int pos[200100], iterate = 0; } minHeap;
list<edge> graf[200100], solution;
edge mPair(int x, int y) {
edge ans;
ans.nod = x; ans.cost = y;
return ans;
}
void addHeap(edge income, int from) {
int crt, nxt;
heapVals aux;
aux.nod = income.nod; aux.cost = income.cost; aux.from = from;
if (minHeap.pos[income.nod] == 0) {
crt = ++minHeap.iterate;
minHeap.pos[income.nod] = crt;
minHeap.vals[crt] = aux;
} else {
crt = minHeap.pos[income.nod];
if (minHeap.vals[crt].cost > aux.cost)
minHeap.vals[crt] = aux;
}
nxt = crt / 2;
while (nxt >= 1 && minHeap.vals[nxt].cost > minHeap.vals[crt].cost) {
minHeap.pos[ minHeap.vals[nxt].nod ] = crt;
minHeap.pos[ minHeap.vals[crt].nod ] = nxt;
aux = minHeap.vals[nxt];
minHeap.vals[nxt] = minHeap.vals[crt];
minHeap.vals[crt] = aux;
crt = nxt;
nxt = crt / 2;
}
}
heapVals fromHeap() {
int crt = 1, nxt = 2;
heapVals aux, ans = minHeap.vals[1];
minHeap.vals[1] = minHeap.vals[ minHeap.iterate-- ];
while (nxt <= minHeap.iterate) {
if (nxt < minHeap.iterate && minHeap.vals[nxt].cost > minHeap.vals[nxt + 1].cost)
nxt++;
if (minHeap.vals[crt].cost > minHeap.vals[nxt].cost) {
minHeap.pos[ minHeap.vals[nxt].nod ] = crt;
minHeap.pos[ minHeap.vals[crt].nod ] = nxt;
aux = minHeap.vals[nxt];
minHeap.vals[nxt] = minHeap.vals[crt];
minHeap.vals[crt] = aux;
crt = nxt;
nxt = crt * 2;
} else {
nxt = minHeap.iterate + 1;
}
}
return ans;
}
int main()
{
fin>>n>>m;
for (i = 1 ; i <= m ; i++) {
fin>>x>>y>>c;
graf[x].push_back(mPair(y, c));
graf[y].push_back(mPair(x, c));
}
inAPM[1] = true;
for (list<edge>::iterator it = graf[1].begin() ; it != graf[1].end() ; it++)
addHeap(*it, 1);
for (i = 1 ; i < n ; i++) {
best = fromHeap();
inAPM[best.nod] = true;
APMcost += best.cost;
solution.push_back(mPair(best.from, best.nod));
for (list<edge>::iterator it = graf[best.nod].begin() ; it != graf[best.nod].end() ; it++)
if (!inAPM[it->nod])
addHeap(*it, best.nod);
}
fout<<APMcost<<'\n';
fout<<n-1<<'\n';
for (list<edge>::iterator it = solution.begin() ; it != solution.end() ; it++) {
fout<<it->nod<<' '<<it->cost<<'\n';
}
return 0;
}