This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("O3")
#pragma GCC target("avx,avx2,sse4")
#include "longesttrip.h"
#include <bits/stdc++.h>
using namespace std;
std::vector<int> longest_trip(int N, int D) {
    vector<vector<int>> g(N);
    if (D == 3) {
        vector<int> v;
        for (int i=0;i<N;i++) {
            v.push_back(i);
        }
        return v;
    }
    vector<array<int,2>> pr((N*(N-1))/2);
    int cnt=0;
    for (int i=0;i<N;i++) {
        for (int j=i+1;j<N;j++) {
            pr[cnt++] = {i, j};
        }
    }
    mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
    // shuffle(pr.begin(), pr.end(), rng);
    
    for (auto [i, j] : pr) {
        if (are_connected({i}, {j})) {
            g[i].push_back(j);
            g[j].push_back(i);
        }
    }
    vector<bool> vv(N, false);
    function<void(int)> df=[&](int node) {
        vv[node]=true;
        for (int &x:g[node]) {
            if (!vv[x]) df(x);
        }
    };
    df(0);
    for (int i=0;i<N;i++) {
        if (!vv[i]) {
            vector<int> f1, f2;
            for (int j=0;j<N;j++) {
                if (vv[j])f1.push_back(j);
                else f2.push_back(j);
            }
            if (f1.size() > f2.size()) return f1;
            return f2;
        }
    }
    vector<int> lng;
    int hf = N/2;
    if (N%2 != 0) hf++;
    for (int i=0;i<N;i++) {
        vector<int> tmp;
        vector<bool> vis(N, false);
        function<void(int)> dfs=[&](int node) {
            vis[node] =  true;
            tmp.push_back(node);
            if (lng.size() < tmp.size()) lng = tmp;
            for (int x:g[node]) {
                if (!vis[x]) {
                    dfs(x);
                }
            }
            tmp.pop_back();
        };
        dfs(i);
        if (lng.size() < tmp.size()) {
            lng = tmp;
        }
        if ((D == 2 && (int)lng.size() == N) || (D == 1 && (int)lng.size() >= hf)) return lng;
    }
    return lng;
}
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