#include "interactive.h"
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ii pair<ll,ll>
#define iii pair<ii,ll>
#define fi first
#define se second
#define endl '\n'
#define debug(x) cout << #x << " is " << x << endl
#define rep(x,start,end) for(auto x=(start)-((start)>(end));x!=(end)-((start)>(end));((start)<(end)?x++:x--))
#define all(x) (x).begin(),(x).end()
#define sz(x) (int)(x).size()
int val;
set<int> get(vector<int> v){
multiset<int> res;
v.push_back(1);
for (auto &it:get_pairwise_xor(v)) res.insert(it);
v.pop_back();
for (auto &it:get_pairwise_xor(v)) res.erase(res.find(it));
res.erase(0);
set<int> ans;
for (auto &it:res) ans.insert(it^val);
return ans;
}
struct dat{
int l,r;
vector<int> v;
dat(int _l,int _r){
l=_l,r=_r;
}
};
vector<dat> v[2];
vector<int> guess(int n) {
val=ask(1);
v[0].push_back(dat(2,n));
int a=0,b=1;
while (true){
vector<int> temp;
bool bad=false;
for (auto &it:v[a]){
rep(x,it.l,(it.l+it.r)/2+1) temp.push_back(x);
if (it.l!=it.r || it.v.empty()) bad=true;
}
if (!bad) break;
auto res=get(temp);
v[b].clear();
for (auto &it:v[a]){
if (it.v.empty()){
dat l=dat(it.l,(it.l+it.r)/2),r=dat((it.l+it.r)/2+1,it.r);
for (auto &it2:res){
l.v.push_back(it2);
}
v[b].push_back(l);
if (it.l!=it.r) v[b].push_back(r);
}
else{
dat l=dat(it.l,(it.l+it.r)/2),r=dat((it.l+it.r)/2+1,it.r);
for (auto &it2:it.v){
if (res.count(it2)){
l.v.push_back(it2);
res.erase(it2);
}
else r.v.push_back(it2);
}
v[b].push_back(l);
if (it.l!=it.r) v[b].push_back(r);
}
}
swap(a,b);
//for (auto &it:v[a]) cout<<it.r-it.l+1<<" "; cout<<endl;
}
vector<int> ans={val};
for (auto &it:v[a]) ans.push_back(it.v[0]);
return ans;
}
