#include "insects.h"
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
int min_cardinality(int N) {
vector<int> all;
for (int i=0; i<N; i++) all.pb(i);
shuffle(all.begin(), all.end(), rng);
int ans = N;
while (!all.empty()) {
vector<int> rem, in;
int cur = 0;
while (!all.empty()) {
int i = all.back();
all.pop_back();
move_inside(i);
int res = press_button();
if (res == cur) {
move_outside(i);
rem.pb(i);
}
else {
in.pb(i);
}
cur = res;
}
ans = min(ans, cur);
all = rem;
shuffle(all.begin(), all.end(), rng);
for (int IN : in) move_outside(IN);
}
return ans;
}
