#include "longesttrip.h"
#include <bits/stdc++.h>
using namespace std;
#define ar array
#define all(v) v.begin(), v.end()
std::vector<int> longest_trip(int n, int d){
vector<int> P;
vector<int> Q;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
vector<int> ord(n);
iota(all(ord), 0);
shuffle(all(ord), rng);
bool kur = 0;
for(auto i: ord){
vector<ar<int,2> > v;
if(P.empty()){
P.push_back(i);
continue;
}
if(Q.empty()){
Q.push_back(i);
continue;
}
if(are_connected({P.back()}, {i})){
kur = 0;
P.push_back(i);
}else if(kur || are_connected({Q.back()}, {i})){
kur = 1;
Q.push_back(i);
}else{
kur = 0;
while(P.size())Q.push_back(P.back()), P.pop_back();
P.push_back(i);
}
}
//assert(0);
if(P.empty() || Q.empty() || !are_connected(P, Q))return (P.size() > Q.size() ? P : Q);
// assert(0);
for(int i = 0;i < 2;i++){
for(int j = 0;j < 2;j++){
if(are_connected({P.back()}, {Q.front()})){
for(auto u: Q)P.push_back(u);
return P;
}
reverse(all(Q));
}
reverse(all(P));
}
int l = -1, r = P.size();
int L = -1, R = Q.size();
while(r - l > 1 || R - L > 1){
if(r - l > 1){
int mid = (l + r) / 2;
vector<int> a, b;
for(int i = 0;i <= mid;i++)a.push_back(P[i]);
for(int i = 0;i < R;i++)b.push_back(Q[i]);
if(are_connected(a, b))r = mid;
else l = mid;
}
if(R - L > 1){
int mid = (L + R) / 2;
vector<int> a, b;
for(int i = 0;i <= mid;i++)a.push_back(Q[i]);
for(int i = 0;i < r;i++)b.push_back(Q[i]);
if(are_connected(a, b))R = mid;
else L = mid;
}
}
//assert(are_connected({P[r]}, {Q[R]}));
vector<int> ans;
for(int i = r + 1;i < P.size();i++)ans.push_back(P[i]);
for(int i = 0;i <= r;i++)ans.push_back(P[i]);
for(int i = R;i < Q.size();i++)ans.push_back(Q[i]);
for(int i = 0;i < R;i++)ans.push_back(Q[i]);
return ans;
}
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