#include "insects.h"
#include <bits/stdc++.h>
using namespace std;
#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;
pair<int, vector<int>> check(vector<int> remaining, int target_h) {
vector<int> new_remaining;
int num_different = 0;
for (int x : remaining) {
move_inside(x);
if (press_button() <= target_h) {
++num_different;
} else {
move_outside(x);
new_remaining.push_back(x);
}
}
return make_pair(num_different, new_remaining);
}
int min_cardinality(int N) {
vector<int> remaining;
rep(i,0,N)
remaining.push_back(i);
int num_different;
for (int target_h = 1; true; target_h++) {
auto res = check(remaining, target_h);
remaining = res.second;
if (target_h == 1)
num_different = res.first;
else if (res.first != num_different) {
return target_h - 1;
}
}
}
