#include "meetings.h"
#include "bits/stdc++.h"
#define tr(ii,c) for(__typeof((c).begin()) ii=(c).begin();ii!=(c).end();ii++)
using namespace std;
int root;
vector<int>path;
bool cmp(int x,int y){
return (Query(root,x,y)==x);
}
void print(int x,int y){
if(x>y)swap(x,y);
Bridge(x,y);
}
void f(vector<int>v){
int sz=int(v.size());
if(sz<2)
return;
if(sz==2){
print(v[0],v[1]);
return;
}
path.clear();
random_shuffle(v.begin(),v.end());
int a=1,b=0;
a=v[a];b=v[b];root=a;
map<int,vector<int> >pm;
tr(it,v)
if(*it!=a && *it!=b){
int c=Query(a,b,*it);
if(!pm.count(c) && c!=a && c!=b)
path.push_back(c);
pm[c].push_back(*it);
}
pm[a].push_back(a);pm[b].push_back(b);
if(path.empty())
print(a,b);
else{
sort(path.begin(),path.end(),cmp);
print(a,path[0]);
for(int i=0;i<int(path.size())-1;i++)
print(path[i],path[i+1]);
print(path.back(),b);
}
tr(it,pm)f(it->second);
}
void Solve(int N){
srand((unsigned)time(NULL));
vector<int>v;
for(int i=0;i<N;i++)
v.push_back(i);
f(v);
}
