#include <bits/stdc++.h>
#include "insects.h"
using namespace std;
#define fi first
#define se second
typedef long long ll;
typedef long double ld;
mt19937 rnd(chrono::high_resolution_clock::now().time_since_epoch().count());
int inf = 1e9;
int min_cardinality(int n) {
vector<int> par(n, -1);
par[0] = 0;
int boss = 1;
move_inside(0);
set<int> cool = {0};
for (int i = 1; i < n; i++) {
move_inside(i);
int x = press_button();
if (x != 1) {
move_outside(i);
} else {
par[i] = i;
boss++;
cool.insert(i);
}
}
for (auto el : cool) {
move_outside(el);
}
if (boss < 8) {
int mini = inf;
for (auto st : cool) {
move_inside(st);
int cur = 1;
for (int i = st + 1; i < n; i++) {
if (cur >= mini) {
break;
}
if (par[i] == -1) {
move_inside(i);
int x = press_button();
if (x == cur) {
move_outside(i);
} else {
cur = x;
par[i] = st;
}
}
}
mini = min(mini, cur);
for (int i = 0; i < n; i++) {
if (par[i] == st) {
move_outside(i);
}
}
}
return mini;
} else {
int l = 1;
int r = 252;
set<int> nco = {};
while (r - l > 1) {
int mid = (l + r) / 2;
for (int i = 0; i < n; i++) {
move_inside(i);
int x = press_button();
if (x > mid) {
move_outside(x);
} else {
nco.insert(x);
}
}
if (boss * mid == nco.size()) {
l = mid;
} else {
r = mid;
}
}
int res = l;
return res;
}
}
