#include "meetings.h"
#include <bits/stdc++.h>
using namespace std;
//Query(int a, int b, int c)
//Bridge(int first, int second)
//edges from 0 to n-1
typedef long long ll;
ll acns = 100000000;
ll bcns = 10000;
unordered_map<ll,int> querymap;
int n;
int squery(int a, int b, int c){
//cout<<"query "<<a<<" "<<b<<" "<<c<<endl;
if (a>b){
swap(a,b);
}
if (b>c){
swap(b,c);
}
if (a>b){
swap(a,b);
}
if (b>c){
swap(b,c);
}
ll q = a*acns+b*bcns+c;
auto f = querymap.find(q);
if (f==querymap.end()){
return querymap[q]=Query(a,b,c);
} else {
return (*f).second;
}
}
int sortstart, sortend;
bool sfunction(int a, int b){
return (squery(sortstart,a,b)==a);
}
void solverecursive(int start, vector<int> &arrayUsing){
/*cout<<"===="<<endl;
for (int i : arrayUsing){
cout<<i<<" ";
}cout<<endl;*/
int end = arrayUsing[0];
deque<int> row;
row.push_back(start);
row.push_back(end);
vector<vector<int> > children(n);
for (int i = 1; i<arrayUsing.size(); i++){
int node = squery(start,end,arrayUsing[i]);
if (node==start){
row.push_front(arrayUsing[i]);
start=arrayUsing[i];
} else if (node==end){
row.push_back(arrayUsing[i]);
end=arrayUsing[i];
} else if (node==arrayUsing[i]){
row[row.size()-1]=node;
row.push_back(end);
} else {
children[node].push_back(arrayUsing[i]);
}
}
/*for (int r : row){
cout<<r<<" ";
}cout<<endl;*/
//sort
if (row.size()>3){
auto b = next(row.begin(),1);
auto e = prev(row.end(),1);
sortstart=start;
sortend=end;
sort(b,e,sfunction);
}
for (int i = 0; i<row.size()-1; i++){
//cout<<"bridge "<<min(row[i],row[i+1])<<" "<<max(row[i],row[i+1])<<endl;
Bridge(min(row[i],row[i+1]),max(row[i],row[i+1]));
if (children[row[i]].size()==0){
continue;
} else if (children[row[i]].size()==1){
//cout<<"bridge "<<min(row[i],children[row[i]][0])<<" "<<max(row[i],children[row[i]][0])<<endl;
Bridge(min(row[i],children[row[i]][0]),max(row[i],children[row[i]][0]));
} else {
solverecursive(row[i],children[row[i]]);
}
}//add case where i=row.size()-1
}
void Solve(int N) {
n = N;
vector<int> arrayUsing;
arrayUsing.resize(n-1,0);
for (int i = 1; i<n; i++){
arrayUsing[i-1]=i;
}
solverecursive(0,arrayUsing);
}
