#include "insects.h"
#include <bits/stdc++.h>
using namespace std;
int n,d;
vector<int> in(2005,0);
vector<int> uniq;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int min_cardinality(int N) {
n=N;
d=0;
vector<int> use;
for (int i=0; i<n; ++i) {
if (in[i]) continue;
use.push_back(i);
}
for(int i=0; i<n; ++i) {
move_inside(use[i]);
int x=press_button();
if (x>1) move_outside(use[i]);
else { in[use[i]]=1; ++d; }
}
for (int i=0; i<n; ++i) if (in[i]) uniq.push_back(i);
if (d==1) return n;
if (d>n/2) return 1;
if (d==2) {
int ans=n;
vector<int> vis(n,0);
for (int i=0; i<n; ++i) vis[i]=in[i];
for (int i=0; i<d-1; ++i) {
vector<int> bulaneala;
int cnt=1;
for (int i=0; i<n; ++i) {
if (vis[i]) continue;
move_inside(i);
int x=press_button();
if (x==cnt) move_outside(i);
else {
bulaneala.push_back(i);
++cnt;
vis[i]=1;
}
}
ans=min(ans,n-ans);
}
return ans;
}
int l=1, r=n/d;
int now=d;
while (l<r) {
vector<int> add;
int mid=(l+r+1)>>1;
int extra=0;
int cnt=now;
shuffle(use.begin(), use.end(),rng);
for (auto x:use) {
if (in[x]) continue;
in[x]=1;
move_inside(x);
int X=press_button();
if (X>mid) {
extra=1;
move_outside(x);
in[x]=0;
} else {
++cnt;
add.push_back(x);
}
}
if (cnt==mid*d) {
if (extra==0) {
return mid;
} else {
l=mid;
now=cnt;
}
} else {
now=cnt;
r=mid-1;
use=add;
for (auto x:add) {
--now;
in[x]=0;
move_outside(x);
}
}
}
return r;
}
