#include "insects.h"
#include<bits/stdc++.h>
using namespace std;
#define F first
#define S second
#define pb push_back
#define vll vector<ll>
#define pll pair<ll, ll>
typedef int ll;
int min_cardinality(int n) {
vector<bool> done(n);
ll siz=0;
auto in=[&](ll tar){
move_inside(tar);
done[tar]=1;
siz++;
};
auto out=[&](ll tar){
move_outside(tar);
done[tar]=0;
siz--;
};
auto press=[&](){
return press_button();
};
for(ll i=0;i<n;i++){
in(i);
if(press()>1){
out(i);
}
}
ll ty=siz;
if(ty==n) return 1;
for(ll i=0;i<n;i++){
if(done[i]) out(i);
}
vll a(n);
ll lef=2, rig=n/ty;
ll good=-1;
auto check=[&](ll tar){
vll v;
for(ll i=0;i<n;i++){
if(a[i]>tar && done[i]){
v.pb(i);
}
else if(a[i]<=tar && !done[i]){
v.pb(i);
}
}
for(auto &it:v){
if(done[it]) out(it);
}
for(auto &it:v){
in(it);
a[it]=press();
if(a[it]>tar){
out(it);
}
}
return siz>=tar*ty;
};
while(lef<=rig){
ll mid=(lef+rig)/2;
if(check(mid)){
good=mid;
lef=mid+1;
}
else{
rig=mid-1;
}
}
if(good==-1) return 1;
return good;
}
