#include "prize.h"
#include <bits/stdc++.h>
using namespace std;
#define dbgv(v) cout<<#v<<" = "; f(i,0,v.size()) cout<<v[i]<<" "; cout<<endl
#define dbga(a,x,y) cout<<#a<<" = "; f(i,x,y) cout<<a[i]<<" "; cout<<endl
#define erorp(x) cout<<#x<<"={"<<x.F<<" , "<<x.S<<"}"<<endl
#define eror(x) cout<<#x<<'='<<(x)<<endl
#define f_(i,a,b) for(int i=a;i>=b;i--)
#define f(i,a,b) for(int i=a;i<b;i++)
#define nb(x) __builtin_popcount(x)
#define all(v) v.begin(),v.end()
#define bit(n,k) (((n)>>(k))&1)
#define Add(x,y) x=(x+y)%mod
#define maxm(a,b) a=max(a,b)
#define minm(a,b) a=min(a,b)
#define lst(x) x[x.size()-1]
#define sz(x) int(x.size())
#define mp make_pair
#define ll long long
#define pb push_back
#define S second
#define F first
mt19937 rng(time(nullptr));
int n,sum,mxc;
int nxt(int x){
int l=0,r=n;
while(l+1<r){
int mid=(l+r)>>1;
vector<int> res=ask(mid);
if(res[0]+res[1]<sum) return mid;
}
return 1;
}
int find_best(int _n){
n=_n;
uniform_int_distribution<int> rnd(0,n-1);
vector<int> res;
f(i,0,min(n,120)){
int id=rnd(rng);
res=ask(id);
maxm(mxc,res[0]+res[1]);
}
f(i,0,n){
int prt=0;
res=ask(i);
prt=res[0];
if(res[0]+res[1]==0) return i;
if(res[0]+res[1]<mxc){
continue ;
}
int l=i,r=n,mid;
while(l+1<r){
mid=(l+r)>>1;
res=ask(mid);
if(res[0]+res[1]<mxc || prt<res[0]){
r=mid;
}
else{
l=mid;
}
}
i=l;
}
return 0;
}
