#include "mushrooms.h"
#include <iostream>
#include <vector>
#include <algorithm>
#include <map>
#include <set>
#include <unordered_map>
#include <unordered_set>
#include <stack>
#include <queue>
#include <cmath>
#include <random>
#include <chrono>
#include <iomanip>
#include <bitset>
using namespace std;
int count_mushrooms(int n) {
	if (n <= 200) {
		int col = 1;
		for (int i = 1; i < n; i++) {
			if (use_machine({ 0 , i }) == 0)
				col++;
		}
		return col;
	}
	vector <int> ind(n);
	for (int i = 0; i < n; i++) {
		ind[i] = i;
	}
	vector <int> a;
	vector <int> b;
	a.push_back(0);
	int sq = sqrt(n);
	sq = 100;
	int ind_ = -1;
	for (int i = 1; i < n; i++) {
		if (use_machine({ 0 , i }) == 0)
			a.push_back(ind[i]);
		else
			b.push_back(ind[i]);
		if (max(a.size(), b.size()) >= sq) {
			ind_ = i + 1;
			break;
		}
	}
	bool f = 0;
	int col = a.size();
	if (b.size() == sq) {
		f = 1;
		swap(a, b);
	}
	vector <int> u;
	for (int i = ind_; i < n; i++) {
		u.push_back(ind[i]);
		if ((u.size() == sq - 1) or (i == n - 1)) {
			vector <int> q;
			int i__ = 0;
			for (int i = 0; i < u.size(); i++) {
				q.push_back(a[i__]);
				i__++;
				q.push_back(u[i]);
			}
			q.push_back(a[i__]);
			i__++;
			int r = use_machine(q);
			r /= 2;
			if (f == 0)
				col += u.size() - r;
			else
				col += r;
			u.clear();
		}
	}
	return col;
}
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