#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
#define MASK(i) (1ULL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
ll gcd(ll a, ll b){return __gcd(a, b);}
ll lcm(ll a, ll b){return a / gcd(a, b) * b;}
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ull mask){return __builtin_popcountll(mask);}
int ctz(ull mask){return __builtin_ctzll(mask);}
int logOf(ull mask){return 63 - __builtin_clzll(mask);}
//mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
mt19937_64 rng(1);
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
double rngesus_d(double l, double r){
double wow = (double) ((ull) rng()) / ((ull)(0-1));
return wow * (r - l) + l;
}
template <class T1, class T2>
bool maximize(T1 &a, T2 b){
if (a < b) {a = b; return true;}
return false;
}
template <class T1, class T2>
bool minimize(T1 &a, T2 b){
if (a > b) {a = b; return true;}
return false;
}
template <class T>
void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){
for(auto item: container) out << item << separator;
out << finish;
}
template <class T>
void remove_dup(vector<T> &a){
sort(ALL(a));
a.resize(unique(ALL(a)) - a.begin());
}
#include "longesttrip.h"
vector<int> longest_trip(int n, int d){
if (d == 2){
vector<int> S;
if (are_connected({0}, {1})) S = {0, 1};
else{
S = {0, 2, 1};
}
while(S.size() < n){
int i = S.size();
if (are_connected({S.back()}, {i})){
S.push_back(i);
}
else S.insert(S.begin(), i);
}
return S;
}
vector<int> S1, S2;
S1.push_back(0);
for(int i = 1; i < n; ++i){
if (S2.size()){
vector<int> A = {S1.back()}, B = {S2.back()}, C = {i};
bool c1 = are_connected(A, C), c2 = are_connected(B, C);
if (c1 && c2){
S1.push_back(i);
while(S2.size()){
S1.push_back(S2.back());
S2.pop_back();
}
}
else if (c1){
S1.push_back(i);
}
else if (c2){
S2.push_back(i);
}
else assert(false);
}
else{
vector<int> A = {S1.back()}, B = {i};
if (are_connected(A, B)) S1.push_back(i);
else S2.push_back(i);
}
}
if (S1.size() > S2.size()) return S1;
return S2;
}
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