#include "insects.h"
#include <bits/stdc++.h>
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2")
//#define int long long
#define pii pair<int,int>
#define vi vector<int>
#define ff first
#define ss second
#define sp << " " <<
#define all(x) x.begin(),x.end()
#define big(x) ((int)(x.size()))
using namespace std;
const int MOD = 1e9+7, LIM = 1e6+1, inf = 2e9;
vi inside(LIM,0);
int total = 0;
void add(int p) {
if (inside[p]) return;
inside[p] = 1;
total++;
move_inside(p);
}
void remove(int p) {
if (!inside[p]) return;
inside[p] = 0;
total--;
move_outside(p);
}
int D = 0;
int zaten = 1;
vi cand1;
bool check(vi cand,int x) {
if (x <= zaten) return true;
vi placed;
vi nono;
for (auto it : cand) {
add(it);
int y = press_button();
if (y > x) {
remove(it);
nono.push_back(it);
}
else {
placed.push_back(it);
}
}
if (big(placed) == D*(x-zaten)) {
zaten = x;
cand1 = nono;
return true;
}
cand1 = placed;
for (auto it : cand) remove(it);
return false;
}
int min_cardinality(int N) {
for (int i = 0;i<N;i++) {
add(i);
int y = press_button();
if (y == 1) {
D++;
continue;
}
cand1.push_back(i);
remove(i);
}
if (D == 1) return N;
if (D == N) return 1;
int l = 2;
int r = N/D;
while (l<=r) {
int m = (l+r) >> 1;
if (check(cand1,m)) l = m+1;
else r = m-1;
}
return zaten;
}
