#include"insects.h"
#include<bits/stdc++.h>
using namespace std;
int min_cardinality(int N) {
int k;
int D = 0;
set<int> INs;
for(int i = 0; i < N; ++i) {
INs.insert(i);
move_inside(i);
k = press_button();
if(k == 2) {
INs.erase(i);
move_outside(i);
continue;
}
++D;
}
int tl = 1, tr = N / D;
vector<bool> skp(N);
while(tl < tr) {
int tm = (tl + tr + 1) / 2;
vector<int> lst_added, ws;
for(int i = 0; i < N; ++i) {
if(skp[i] || !INs.insert(i).second) continue;
move_inside(i);
k = press_button();
if(k > tm) {
INs.erase(i);
move_outside(i);
ws.push_back(i);
continue;
}
lst_added.push_back(i);
if(D * tm == (int)INs.size()) break;
}
if((int)INs.size() < D * tm) {
tr = tm - 1;
if(tl == tr) continue;
for(auto& u : lst_added) {
INs.erase(u);
move_outside(u);
}
for(auto& u : ws) {
skp[u] = 1;
}
} else {
tl = tm;
}
}
return (tl + tr) / 2;
}
