#include "insects.h"
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>
#pragma GCC optimize ("Ofast")
#pragma GCC optimize ("unroll-loops")
#pragma GCC target("avx,avx2,tune=native")
using namespace std;
using namespace __gnu_pbds;
typedef int ll;
typedef long long LL;
typedef long double ld;
#define el "\n"
#define se " "
#define ff first
#define ss second
#define pb push_back
#define all(x) x.begin(), x.end()
#define mkp make_pair
#define srt(x,y) sort(x+1,x+1+y)
#define srtt(x,y,cmp) sort(x+1,x+1+y,cmp)
#define rev(x,y) reverse(x+1,x+1+y)
#define revv(x,y,cmp) reverse(x+1,x+1+y,cmp)
#define print(x) for (auto it : x) cout<<it<<se
#define ordered_set tree<ll, null_type,less_equal<ll>, rb_tree_tag,tree_order_statistics_node_update>
const ll NN=2000+9;
const ll NNN=109;
const ll INF=1e9;
const ld PI=3.141592653589793238462643;
const ll MOD=1e9+7;
ll zero=0;
ll a,b,c,d,a1,b1,c1,val,i,sum1,j,n,m,pos,ans,sum,cur,res,ans1,res1;
ll k,kk,kkk,cnt,cnt1,l,r,x,y,mn,t,fl,q;
bool used[4009];
deque<ll>dek;
int min_cardinality(int N) {
ll ans=N;
for(ll i=0;i<N;i++){
move_inside(i),dek.pb(i);
if(press_button()>1){
ans--;
move_outside(i),dek.pop_back();
}
}
while(!dek.empty()){
move_outside(dek.front()),dek.pop_front();
}
if(ans==N || N/ans<=1) return 1;
ll l=2,r=N/ans;
ll cur=1;
while(r-l>=0){
ll mid=(l+r)>>1;
ll povt=0;
for(ll i=0;i<N;i++){
move_inside(i),dek.pb(i);
if(press_button()>mid) povt++,dek.pop_back();
}
if(ans*mid==N-povt) l=mid+1,cur=mid;
else r=mid-1;
while(!dek.empty()){
move_outside(dek.front()),dek.pop_front();
}
}
return cur;
}
