#include "prize.h"
#include <bits/stdc++.h>
using namespace std;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int K = 500;
const int L = 5000;
set <int> s;
int mx = 0;
int qcount = 0;
int ans = -1;
void solve(int l,int r,int dl,int dr){
if(dl + dr >= mx)return;
if(l > r)return;
int mij = (l + r)/2;
for(int i = mij;i <= r;i++){
auto x = ask(i);
if(x[0] + x[1] == mx){
x[0]-=dl;
x[1]-=dr;
int nr = rng()%2;
if(nr%2 == 0){
solve(i + 1,r,x[0] + dl,dr);
if(ans != -1)return;
solve(l,mij - 1,dl,dr + x[1] + i - mij);
}else{
solve(l,mij - 1,dl,dr + x[1] + i - mij);
if(ans != -1)return;
solve(i + 1,r,x[0] + dl,dr);
}
return;
}else{
if(x[0] + x[1] == 0){
ans = i;
return;
}
}
}
solve(l,mij - 1,dl,dr);
return;
}
int find_best(int n) {
for(int i = 0;i < min(n,K);i++){
auto x = ask(i);
//qcount++;
//if(qcount >= L)break;
int nr = x[0] + x[1];
if(nr == 0)return i;
if(nr > mx){
mx = nr;
}
}
solve(0,n - 1,0,0);
return ans;
}
/**
8
3 3 3 3 2 2 2 1
**/
