#include "insects.h"
#include<bits/stdc++.h>
using namespace std;
typedef int ll;
int min_cardinality(int n) {
vector<ll> u;
set<ll> s;
for(ll i = 0; i < n; i++){
move_inside(i);
if(press_button() == 2) {
s.insert(i);
move_outside(i);
}
else u.push_back(i);
}
ll c = u.size();
ll sq = sqrt(c);
vector<ll> components(n);
for(ll i: u) move_outside(i), components[i]++;
for(ll i = 0; i < c; i += sq){
vector<ll> v;
for(ll j = i; j < min(c, i + sq); j++) v.push_back(u[j]), move_inside(u[j]);
vector<ll> r;
for(auto i: s){
move_inside(i);
if(press_button() == 2) {
for(ll j: v) {
move_outside(j);
if(press_button() == 1) {
move_inside(j);
components[j]++;
break;
}
move_inside(j);
}
r.push_back(i);
}
move_outside(i);
}
for(ll x: r) s.erase(x);
}
ll ans = n;
for(ll i = 0; i < n; i++) if(components[i]) ans = min(ans, components[i]);
return ans;
}
