#include "mushrooms.h"
#include <bits/stdc++.h>
using namespace std;
int arr1[6]={8,1,12,3,14,7};
int arr2[7]={69,4,20-7,6,9,4-2+0*9,11};
int SQ = 140;
int count_mushrooms(int n) {
if(n<=2*SQ) {
int ans = 1;
for(int i=1;i<n;i++) ans += !use_machine({0,i});
return ans;
}
vector<int> A={0}, B;
for(int i=1;i<=2*SQ;i+=2) {
if(A.size()<2) {
int erm = use_machine({i,0,i+1});
if(!erm)
A.push_back(i),
A.push_back(i+1);
else if(erm==2)
B.push_back(i),
B.push_back(i+1);
else if(use_machine({0,i}))
B.push_back(i),
A.push_back(i+1);
else
A.push_back(i),
B.push_back(i+1);
} else {
int guy = use_machine({i,A[0],i+1,A[1]});
for(int j=0;j<2;j++) {
if(guy&(1<<j)) B.push_back(i+j);
else A.push_back(i+j);
}
}
}
int ans = A.size();
if(A.size()>B.size()) {
vector<int> v={A[0]};
for(int j=2*SQ+1;j<n;j++) {
v.push_back(j);
v.push_back(A[((j-1)%SQ)+1]);
if(j==n-1||(!(j%SQ))) {ans += (v.size()-1-use_machine(v))/2; v={A[0]};}
}
} else {
vector<int> v={B[0]};
for(int j=2*SQ+1;j<n;j++) {
v.push_back(j);
v.push_back(B[((j-1)%SQ)+1]);
if(j==n-1||!(j%SQ)) {ans += use_machine(v)/2; v={B[0]};}
}
}
return ans;
}
