#include <bits/stdc++.h>
#include "mushrooms.h"
using namespace std;
int count_mushrooms(int n) {
int cnt = 0;
if(n <= 200) {
int ret = 1;
vector<int> m(2);
for(int i = 1; i < n; i++) {
m[1] = i;
if(use_machine(m) == 0) ret++;
}
return ret;
}
int k = min((int)sqrt(n), 2);
vector<int> arr(n, 0);
for(int i = 1; i < 2 * k; i++) {
vector<int> m;
m.push_back(0);
m.push_back(i);
if(use_machine(m)) {
arr[i] = 1; cnt++;
}
}
int ret = 2 * k - cnt;
if(cnt >= k) { // 1 is more
vector<int> keep;
for(int i = 0; i < 2 * k; i++) {
if(arr[i] == 1) keep.push_back(i);
}
int block = (int)keep.size() - 1;
assert(block > 0);
for(int i = 2 * k; i < n; i += block) {
vector<int> ask;
ask.push_back(keep[0]);
for(int j = 0, k = 1; j + i < n && j < block; j++) {
ask.push_back(j + i);
ask.push_back(keep[k]); k++;
}
ret += use_machine(ask) / 2;
}
}
else { // 0 is more
vector<int> keep;
for(int i = 0; i < 2 * k; i++) {
if(arr[i] == 0) keep.push_back(i);
}
int block = (int)keep.size() - 1;
assert(block > 0);
for(int i = 2 * k; i < n; i += block) {
vector<int> ask;
ask.push_back(0);
for(int j = 0, k = 1; j + i < n && j < block; j++) {
ask.push_back(j + i);
ask.push_back(keep[k]); k++;
}
ret += ((int)ask.size() / 2) - use_machine(ask) / 2;
}
}
// [0, 2 * k)
return ret;
}
