#include <bits/stdc++.h>
#include "meetings.h"
using namespace std;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int MXN = 2005;
int n, root;
vector<int> subt[MXN];
set<int> st;
bool cmp(int u, int v){
    return (Query(root, u, v) == u);
}
void get(int v){
    int u = subt[v][rng() % subt[v].size()];
    vector<int> path, cur_subt = subt[v];
    subt[v].clear();
    st.erase(v);
    
    for (int x : cur_subt){
        if (x == u) continue;
        int cen = Query(u, x, v);
        if (cen == x)
            path.push_back(x);
        else{
            subt[cen].push_back(x);
            st.insert(cen);
        }
    }
    root = v;
    sort(path.begin(), path.end(), cmp);
    path.push_back(u);
    
    for (int i = 0; i < path.size(); i ++){
        if (root < path[i]) Bridge(root, path[i]);
        else Bridge(path[i], root);
        root = path[i];
    }
}
void Solve(int nn) {
    srand(time(0));
    n = nn;
    for (int i = 1; i < n; i ++)
        subt[0].push_back(i);
    st.insert(0);
    while (!st.empty()){
        int v = *st.begin();
        get(v);
    }
}
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