#include<bits/stdc++.h>
#include "insects.h"
#define MAXN 2007
using namespace std;
int n,last,cnt,ans,pt;
vector<int> diff,s;
int l[MAXN],r[MAXN],br[MAXN];
bool used[MAXN],in[MAXN];
vector< pair<int,int> > qr;
bool ok(int k){
cnt=0; s.clear();
for(int i=0;i<n;i++){
move_inside(i); cnt++;
s.push_back(i);
if(press_button()>k){
move_outside(i); cnt--;
s.pop_back();
}
}
for(int i:s)move_outside(i);
if(cnt==k*int(diff.size()))return true;
return false;
}
int min_cardinality(int N){
n=N;
for(int i=0;i<n;i++){
move_inside(i);
diff.push_back(i);
if(press_button()>1){
move_outside(i);
diff.pop_back();
}
}
for(int i:diff)move_outside(i);
ans=n/int(diff.size());
while(true){
if(!ok(ans)){
ans=cnt/int(diff.size());
}else break;
}
return ans;
}
