#include "longesttrip.h"
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define mp make_pair
#define pii pair<int, int>
#define fi first
#define se second
map<vector<int>, map<vector<int>, int> > mmm;
int query(vector<int> a, vector<int> b){
if (!mmm[a][b]&&!mmm[b][a])mmm[b][a]=mmm[a][b]=are_connected(a, b)+1;
return mmm[a][b]-1;
}
vector<int> longest_trip(int n, int d){
mmm.clear();
if (d==3){
vector<int> ans;
for (int i=0; i<n; ++i)ans.pb(i);
return ans;
}
if (d==2){
deque<int> ans(1, 0);
int done=1;
if (are_connected({0}, {1}))ans.pb(1);
else ans.pb(2), done=2;
for (int i=1; i<n; ++i)if (i!=done){
if (are_connected({i}, {ans.back()}))ans.pb(i);
else ans.push_front(i);
}
vector<int> res;
for (auto a:ans)res.pb(a);
return res;
}
int aa=-1, bb=-1, cc=-1;
for (int i=0; i<n; ++i){
int ooga=-1;
for (int j=0; j<n; ++j){
if (ooga==-1&&i!=j&&query({i}, {j}))ooga=j;
else if (ooga!=-1&&i!=j&&query({i}, {j})){
aa=i, bb=ooga, cc=j;
break;
}
}
}
deque<int> a(1, bb), b;
bool first=1;
for (int i=0; i<n; ++i){
if (i!=aa&&i!=bb&&i!=cc&&!first){
if (query({i}, {a.back()}))a.pb(i);
else if (query({i}, {b.back()}))b.pb(i);
else{
while (b.size())a.pb(b.back()), b.pop_back();
b.pb(i);
}
}
else if (i!=aa&&i!=bb&&i!=cc&&first)b.pb(i);
}
if (query({cc}, {a.back()}))a.pb(cc);
else if (b.size()&&query({cc}, {b.back()}))b.pb(cc);
else{
while (b.size())a.pb(b.back()), b.pop_back();
b.pb(cc);
}
if (b.size()>a.size())swap(a, b);
if (b.empty()){
vector<int> res;
for (auto c:a)res.pb(c);
return res;
}
if (query({a.back()}, {b.back()})){
while (b.size())a.pb(b.back()), b.pop_back();
}
else if (query({a.back()}, {b[0]})){
for (auto c:b)a.pb(c);
}
else if (query({a[0]}, {b.back()})){
while (b.size())a.push_front(b.back()), b.pop_back();
}
else if (query({a[0]}, {b[0]})){
for (auto c:b)a.push_front(c);
}
else{
for (int i=1; i<b.size()-1; ++i)if (query({b[i]}, {a[0], a.back()})){
if (query({b[i]}, {a.back()}))for (int j=0; j<b.size(); ++j)a.pb(b[(i+j)%b.size()]);
else for (int j=0; j<b.size(); ++j)a.push_front(b[(i+j)%b.size()]);
}
}
vector<int> res;
for (auto c:a)res.pb(c);
return res;
}
