#include "meetings.h"
#include <bits/stdc++.h>
using namespace std;
static int tot = 0;
struct DSU {
vector <int> par;
int n;
inline void init(int _n) {
n = _n;
par.resize(n, -1);
}
int root(int x) {
if(par[x] == -1) return x;
return par[x] = root(par[x]);
}
inline void join(int x, int y) {
x = root(x), y = root(y);
if(x != y) {
par[x] = y;
}
}
}dsu;
const int MAXN = 2000;
static int vis[MAXN], now = 0;
static int nodes[MAXN], n;
inline void add(int *special, int x, int &sz) {
vis[x] = now;
special[sz++] = x;
}
inline void del(int *special, int x, int &sz) {
int i, j;
for(i = 0; i < sz; i++) {
if(special[i] == x) {
for(j = i; j + 1 < sz; j++) {
special[j] = special[j + 1];
}
sz--;
break;
}
}
}
void solve(int id) {
int szn = 0, i;
for(i = 0; i < n; i++) {
if(vis[i] == id) {
nodes[szn++] = i;
dsu.par[i] = -1;
}
}
if(szn <= 1) return ;
random_shuffle(nodes, nodes + szn);
int root = nodes[rand() % szn];
vis[root] = ++now;
int special[20], sz = 0;
for(i = 0; i < szn; i++) {
int it = nodes[i];
if(vis[it] == now) continue;
bool ok = 0;
for(int i = 0; i < sz; i++) {
int x = special[i];
//cerr << x << " " << it << " " << root << "\n";
int cur = Query(x, it, root);
if(cur == root) continue;
dsu.join(x, cur);
dsu.join(it, cur);
if(x != cur) {
del(special, x, sz);
add(special, cur, sz);
}
ok = 1;
break;
}
if(ok == 0) {
add(special, it, sz);
}
if(sz > 18) {
Bridge(0, 0);
}
}
int bg = now + 1;
for(i = 0; i < sz; i++) {
int cur = special[i];
//cerr << root << " " << cur << "\n";
Bridge(min(root, cur), max(root, cur));
}
for(i = 0; i < szn; i++) {
if(nodes[i] == root) continue;
int cur = dsu.root(nodes[i]);
if(vis[cur] < bg) {
vis[cur] = ++now;
}
vis[nodes[i]] = vis[cur];
}
int en = now;
for(i = bg; i <= en; i++) {
solve(i);
}
}
void Solve(int N) {
//double t = clock();
srand(time(NULL));
n = N;
dsu.init(n);
solve(0);
//cerr << tot << "\n";
//cerr << 1.0 * (clock() - t) / CLOCKS_PER_SEC << "\n";
}
