#include "longesttrip.h"
#include <bits/stdc++.h>
#define ll long long
#define fi first
#define se second
#define lf ((id<<1))
#define rg ((id<<1)|1)
#define md ((l+r)>>1)
#define pb push_back
#define are are_connected
using namespace std;
const int MAXN = 2e5+10;
typedef pair<ll,ll> pii;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int n, d;
vector<int> ans, ans2;
std::vector<int> longest_trip(int N, int D)
{
n = N; d = D;
vector<int> arr;
for(int i=0; i<n; i++) arr.pb(i);
shuffle(arr.begin(), arr.end(), rng);
ans.clear(); ans.pb(arr[0]);
ans2.clear(); ans2.pb(arr[1]);
bool dis = 0;
for(int i=2; i<n; i++){
if(dis){
dis = 0;
if(are({arr[i]}, {ans.back()})) ans.pb(arr[i]);
else ans2.pb(arr[i]);
} else {
if(are({arr[i]}, {ans.back()})) dis = 0, ans.pb(arr[i]);
else if(are({arr[i]}, {ans2.back()})) dis = 1, ans2.pb(arr[i]);
else {
dis = 0;
reverse(ans2.begin(), ans2.end());
for(auto in : ans2) ans.pb(in);
ans2.clear(); ans2.pb(arr[i]);
}
}
}
// for(auto in : ans) cout << in << ' ';
// cout << " in\n";
// for(auto in : ans2) cout << in << ' ';
// cout << " in2\n";
if( are(ans, ans2) ){ // 1 conn comp
vector<int> ret;
bool cob = 0;
if(ans2[0] != ans2.back()) cob = are({ans[0]}, {ans2[0], ans2.back()});
else cob = are({ans[0]}, {ans2[0]} );
if( cob ){
if(are({ans[0]}, {ans2.back()})){
reverse(ans.begin(), ans.end());
reverse(ans2.begin(), ans2.end());
for(auto in : ans) ret.pb(in);
for(auto in : ans2) ret.pb(in);
ans = ret;
} else {
reverse(ans.begin(), ans.end());
for(auto in : ans) ret.pb(in);
for(auto in : ans2) ret.pb(in);
ans = ret;
}
} else {
if(ans2[0] != ans2.back()) cob = are({ans.back()}, {ans2[0], ans2.back()});
else cob = are({ans.back()}, {ans2[0]} );
if( cob ){
if(are({ans.back()}, {ans2.back()})){
reverse(ans2.begin(), ans2.end());
for(auto in : ans) ret.pb(in);
for(auto in : ans2) ret.pb(in);
ans = ret;
} else {
for(auto in : ans) ret.pb(in);
for(auto in : ans2) ret.pb(in);
ans = ret;
}
} else {
// tengah di connect
int up = -1, dw = -1;
int l=0, r=ans.size()-1, mid=0;
vector<int> BAW;
for(int i=0; i<ans2.size(); i++) BAW.pb(ans2[i]);
while(l<=r){
mid = md;
vector<int> all;
for(int j=0; j<=mid; j++) all.pb(ans[j]);
if(are(all, BAW)) up = mid, r = mid-1;
else l = mid+1;
}
l = 0, r = ans2.size()-1;
while(l<=r){
mid = md;
vector<int> all;
for(int j=0; j<=mid; j++) all.pb(ans2[j]);
if(are(all, {ans[up]})) dw = mid, r = mid-1;
else l = mid+1;
}
for(int j=dw-1; j>=0; j--) ret.pb(ans2[j]);
for(int j=ans2.size()-1; j>=dw; j--) ret.pb(ans2[j]);
for(int j=up; j<ans.size(); j++) ret.pb(ans[j]);
for(int j=0; j<up; j++) ret.pb(ans[j]);
ans = ret;
}
}
}
if(ans2.size() > ans.size()) swap(ans2, ans);
// for(int i=0; i+1<ans.size(); i++)
// if(!are({ans[i]}, {ans[i+1]})) cout <<ans[i] << ' ' << ans[i+1] << " jnck\n";
return ans;
}
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