#include "mushrooms.h"
#include <vector>
#include <bits/stdc++.h>
#define REP(v, i, j) for (long long v = i; v != j; v++)
#define FORI(v) for (auto i : v)
#define FORJ(v) for (auto j : v)
#define OUT(v, a) \
FORI(v) \
cout << i << a;
#define OUTS(v, a, b) \
cout << v.size() << a; \
OUT(v, b)
#define in(a, n) \
REP(i, 0, n) \
cin >> a[i];
#define SORT(v) sort(begin(v), end(v))
#define REV(v) reverse(begin(v), end(v))
#define MEMSET(m) memset(m, -1, sizeof m)
#define pb push_back
#define fi first
#define se second
#define detachIO \
ios_base::sync_with_stdio(false); \
cin.tie(0); \
cout.tie(0);
using namespace std;
template<typename _Tp, typename _Alloc = std::allocator<_Tp> >
bool operator==(const vector<_Tp, _Alloc>& __x, const vector<_Tp, _Alloc>& __y) {
if(__x.size() != __y.size()) return false;
return std::equal(__x.begin(), __x.end(), __y.begin());
}
typedef pair<long long, long long> pii;
typedef pair<pii, long long> piii;
typedef pair<pii, pii> piiii;
const long long MOD = 1e9+7;
struct modint {
long long val;
modint() = default;
modint(int _val): val(_val){}
modint operator+(modint b){ return ((this->val + b.val)%MOD); }
modint operator-(modint b){ return ((MOD + this->val - b.val)%MOD); }
modint operator*(modint b){ return ((this->val * b.val)%MOD); }
modint operator^(int a){
if(a==0)return 1;
if(a==1)return *this;
return (((*this)*(*this))^(a>>1))*((*this)^(a&1));
}
};
modint invert(modint a){
return a^(MOD-2);
}
modint operator/(modint a, modint b){
return a*invert(b);
}
struct segment_tree {
long long n;
typedef int T;
vector<T> seg;
const T e = 2e9;
T merge(T a, T b){
if(a==e)return b;
if(b==e)return a;
return min(a,b);
}
segment_tree(long long _n): n(_n),seg(4*_n+10,e) /** BUG: GCC does not initialize the elements properly this way */ {
for(auto &i:seg)i=e;
}
void update(long long pos, long long l, long long r, long long idx, T val){
if(r<idx)return;
if(l>idx)return;
if(l==r){
seg[pos]=val;
return;
}
update(pos*2+1,l,(l+r)/2,idx,val);
update(pos*2+2,((l+r)/2)+1,r,idx,val);
seg[pos]=merge(seg[pos*2+1],seg[pos*2+2]);
}
T query(long long pos, long long l, long long r, long long ql, long long qr){
if(l > qr)return e;
if(ql > r)return e;
if(ql <= l && r <= qr)return seg[pos];
if(l==r)return e;
return merge(query(pos*2+1,l,(l+r)/2,ql,qr),query(pos*2+2,((l+r)/2)+1,r,ql,qr));
}
};
int count_mushrooms(int n) {
vector<int> a,b;
queue<int> q;
REP(i,1,n)q.push(i);
a.pb(0);
while((q.size()>=2)&&(a.size()+b.size())<=141){
auto x=q.front();q.pop();
auto y=q.front();q.pop();
if(a.size()>=2){
int r=use_machine({a[0],x,a[1],y});
if(r&2)b.pb(x);else a.pb(x);
if(r&1)b.pb(y);else a.pb(y);
} else if(b.size()>=2){
int r=use_machine({b[0],x,b[1],y});
if(r&2)a.pb(x);else b.pb(x);
if(r&1)a.pb(y);else b.pb(y);
} else {
int r=use_machine({a[0],x});
if(r)b.pb(x);else a.pb(x);
r=use_machine({a[0],y});
if(r)b.pb(y);else a.pb(y);
}
}
int ans=a.size();
while(q.size()){
if(a.size()>b.size()){
vector<int> vec;
FORI(a){
if(q.size())vec.pb(q.front()),vec.pb(i),q.pop();
}
int x=use_machine(vec);
ans+=(vec.size()/2)-((x>>1)+(x&1));
}else{
vector<int> vec;
FORI(b){
if(q.size())vec.pb(q.front()),vec.pb(i),q.pop();
}
int x=use_machine(vec);
ans+=((x>>1)+(x&1));
}
}
return ans;
}
