#include "insects.h"
#include "bits/stdc++.h"
using namespace std;
const int N = 2e3 + 5;
int vis[N], D , tot = 0 , Kill[N];
inline bool Add(int x){
if(vis[x] || Kill[x]) return 0;
vis[x]=1;
tot++;
move_inside(x);
return 1;
}
inline bool Rem(int x){
if(!vis[x] || Kill[x]) return 0;
vis[x]=0;
tot--;
move_outside(x);
return 1;
}
inline int Get(){
return press_button();
}
int min_cardinality(int n){
for(int i=0;i<n;i++){
Add(i);
if(i == 0 || Get() == 1) continue;
Rem(i);
}
D = tot;
if(D > n / 2) return 1;
if(D == 1) return n;
int l = 1 , r = n / D;
while(l < r){
for(int i=0;i<n;i++) Rem(i);
int B = (l + r + 1) / 2;
vector<int> to_kill;
for(int i = 0 ; i < n ; i++){
if(vis[i] || Kill[i]) continue;
Add(i);
if(tot > B && Get() > B){
Rem(i);
to_kill.push_back(i);
}
}
if(tot == B * D){
l = B;
// for(int i=0;i<n;i++) if(vis[i]) Kill[i] = 1;
}
else{
// for(int x : to_kill) Kill[x] = 1;
r = min(tot / D, B - 1);
}
}
return l;
}
