#include "mushrooms.h"
#include <bits/stdc++.h>
using namespace std;
int count_mushrooms(int n)
{
if (n <= 226 * 2)
{
int ans = 1;
for (int i = 1; i < n; i += 2)
{
if (i + 1 >= n) break;
ans += 2 - use_machine({i, 0, i + 1});
}
if (n % 2 == 0) ans += 1 - use_machine({0, n - 1});
return ans;
}
vector<int> type0, type1;
const int BUCKET_SIZE = 220;
for (int i = 1; i <= BUCKET_SIZE; i += 2)
{
int curr = use_machine({i, 0, i + 1});
if (curr == 0)
{
type0.push_back(i);
type0.push_back(i + 1);
}
else if (curr == 2)
{
type1.push_back(i);
type1.push_back(i + 1);
}
else
{
if (use_machine({0, i}) == 0)
{
type0.push_back(i);
type1.push_back(i + 1);
}
else
{
type0.push_back(i + 1);
type1.push_back(i);
}
}
}
int ans = 1;
if (type0.size() > type1.size())
{
ans += type0.size();
vector<int> equalElements;
equalElements.push_back(0);
for (int i = 0; i < type0.size(); ++i)
{
equalElements.push_back(type0[i]);
}
int step = equalElements.size();
for (int i = BUCKET_SIZE + 1; i < n; i = i + step)
{
int to = min(n - 1, i + step - 1);
int len = to - i + 1;
vector<int> myVector;
for (int j = i; j <= to; ++j)
{
myVector.push_back(equalElements[j - i]);
myVector.push_back(j);
}
int result = use_machine(myVector);
int diff = (result % 2 == 1 ? result / 2 + 1 : result / 2);
ans += len - diff;
}
}
else
{
ans += type0.size();
vector<int> equalElements;
for (int i = 0; i < type1.size(); ++i)
{
equalElements.push_back(type1[i]);
}
int step = equalElements.size();
for (int i = BUCKET_SIZE + 1; i < n; i = i + step)
{
int to = min(n - 1, i + step - 1);
int len = to - i + 1;
vector<int> myVector;
for (int j = i; j <= to; ++j)
{
myVector.push_back(equalElements[j - i]);
myVector.push_back(j);
}
int result = use_machine(myVector);
int diff = (result % 2 == 1 ? result / 2 + 1 : result / 2);
ans += diff;
}
}
return ans;
}
