#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);
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;
}
v.push_back({P.back(), i});
v.push_back({Q.back(), i});
v.push_back({P.back(), Q.back()});
shuffle(all(v), rng);
while(v.size()){
auto [a, b] = v.back();
v.pop_back();
if(v.empty() || are_connected({a}, {b})){
//flag = 1;
if(b == i){
if(a == P.back())P.push_back(i);
else Q.push_back(i);
}else{
while(P.size())Q.push_back(P.back()), P.pop_back();
P.push_back(i);
}
break;
}
}
}
//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 lo = -1, hi = P.size();
while(hi - lo > 1){
int mid = (lo + hi) / 2;
vector<int> t;
for(int i = 0;i <= mid;i++)t.push_back(P[i]);
if(are_connected(t, Q))hi = mid;
else lo = mid;
}
int mi = hi;
lo = -1, hi = Q.size();
while(hi - lo > 1){
int mid = (lo + hi) / 2;
vector<int> t;
for(int i = 0;i <= mid;i++)t.push_back(Q[i]);
if(are_connected({P[mi]}, t))hi = mid;
else lo = mid;
}
int mj = hi;
//assert(are_connected({P[mi]}, {Q[mj]}));
vector<int> ans;
for(int i = mi + 1;i < P.size();i++)ans.push_back(P[i]);
for(int i = 0;i <= mi;i++)ans.push_back(P[i]);
for(int i = mj;i < Q.size();i++)ans.push_back(Q[i]);
for(int i = 0;i < mj;i++)ans.push_back(Q[i]);
return ans;
}
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