#include "prize.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
int Max = 0;
const int maxn = 2e5 + 10;
vector<int> Q[maxn];
bool mark[maxn];
vector<int> Ask(int i){
if (mark[i])
return Q[i];
mark[i] = 1;
return Q[i] = ask(i);
}
int solve(int l, int r, int cnt, int pre = 0, int suf = 0){
if (cnt <= 0 or l >= r)
return -1;
if (l+1 == r){
vector<int> res = Ask(l);
if (res[0]+res[1] == 0)
return l;
return -1;
}
vector<int> Vals;
int m = (l+r)>>1;
Vals.push_back(m);
for (int i = 1; ;i++){
bool found = 0;
if (m+i < r)
found = 1, Vals.push_back(m+i);
if (m-i >= l)
found = 1, Vals.push_back(m-i);
if (!found)
break;
}
for (auto mid : Vals){
vector<int> res = Ask(mid);
if (res[0]+res[1] == 0)
return mid;
if (res[0]+res[1] == Max){
int ret = solve(l,mid,res[0]-pre, pre, res[1]);
if (ret != -1)
return ret;
return solve(mid+1, r, res[1]-suf, res[0], suf);
}
}
return -1;
}
int find_best(int n){
for (int i = 0; i < min(n,450); i++){
vector<int> res = Ask(i);
Max = max(Max, res[0]+res[1]);
if (Max >= 450)
break;
}
return solve(0, n, Max);
}
