#include "insects.h"
#include <bits/stdc++.h>
using namespace std;
int min_cardinality(int N)
{
vector<int> type(N, 0);
int num = 1;
type[0] = 1;
move_inside(0);
for (int i = 1; i < N; i++)
{
move_inside(i);
int temp = press_button();
if (temp == 1)
{
type[i] = 1;
num++;
}
else
move_outside(i);
}
if (num == 1)
return N;
int left = N - num, cur = 1;
while (left)
{
int targ = max(cur + 1, cur + left / (2 * num));
if (left < num)
return cur;
vector<int> news, outs;
for (int i = 0; i < N; i++)
{
if (type[i] != -1)
continue;
move_inside(i);
int temp = press_button();
if (temp > targ)
{
outs.push_back(i);
move_outside(i);
}
else
{
news.push_back(i);
}
}
if (news.size() == (targ - cur) * num)
{
for (auto v : news)
type[v] = 1;
left -= news.size();
cur = targ;
}
else
{
for (auto v : outs)
type[v] = 1;
left -= outs.size();
for (auto v : news)
move_outside(v);
}
}
return cur;
}
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