#include<bits/stdc++.h>
#include "insects.h"
#define f first
#define s second
#define pb push_back
using namespace std;
int siz[2001]{0};
int min_cardinality(int N) {
vector<int>vec;
int vis[2001]={0};
move_inside(0);
int sz=0;
for(int i=0;i<N;i++)siz[i]=1;
for(int i=0;i<N;i++){
if(vis[i])continue;
move_inside(i);
if(press_button()==1){
vis[i]=1;sz++;vec.pb(i);
}
else move_outside(i);
}
int l=1,r=N/sz;
int mx=sz;
int ans=1;
while(l<r){
int m=(l+r+1)>>1;
int cnt=0;
for(int i=0;i<N;i++){
if(cnt==mx*(m-ans))break;
if(!vis[i]){
move_inside(i);
if(press_button()<=m)cnt++,vis[i]=2;
else move_outside(i);
}
}
if(cnt==mx*(m-ans)){
l=m;ans=m;
for(int i=0;i<N;i++)if(vis[i]==2)vis[i]=1;
}
else {
r=m-1;
for(int i=0;i<N;i++)if(vis[i]==2){
vis[i]=0;move_outside(i);
}
}
}return ans;
}
