This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//{
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef double lf;
typedef pair<ll,ll> ii;
#define REP(i,n) for(ll i=0;i<n;i++)
#define REP1(i,n) for(ll i=1;i<=n;i++)
#define FILL(i,n) memset(i,n,sizeof i)
#define X first
#define Y second
#define SZ(_a) (int)_a.size()
#define ALL(_a) _a.begin(),_a.end()
#define pb push_back
#ifdef brian
#define debug(...) do{\
fprintf(stderr,"%s - %d (%s) = ",__PRETTY_FUNCTION__,__LINE__,#__VA_ARGS__);\
_do(__VA_ARGS__);\
}while(0)
template<typename T>void _do(T &&_x){cerr<<_x<<endl;}
template<typename T,typename ...S> void _do(T &&_x,S &&..._t){cerr<<_x<<" ,";_do(_t...);}
template<typename _a,typename _b> ostream& operator << (ostream &_s,const pair<_a,_b> &_p){return _s<<"("<<_p.X<<","<<_p.Y<<")";}
template<typename It> ostream& _OUTC(ostream &_s,It _ita,It _itb)
{
_s<<"{";
for(It _it=_ita;_it!=_itb;_it++)
{
_s<<(_it==_ita?"":",")<<*_it;
}
_s<<"}";
return _s;
}
template<typename _a> ostream &operator << (ostream &_s,vector<_a> &_c){return _OUTC(_s,ALL(_c));}
template<typename _a> ostream &operator << (ostream &_s,set<_a> &_c){return _OUTC(_s,ALL(_c));}
template<typename _a,typename _b> ostream &operator << (ostream &_s,map<_a,_b> &_c){return _OUTC(_s,ALL(_c));}
template<typename _t> void pary(_t _a,_t _b){_OUTC(cerr,_a,_b);cerr<<endl;}
#define IOS()
#else
#define debug(...)
#define pary(...)
#define endl '\n'
#define IOS() ios_base::sync_with_stdio(0);cin.tie(0);
#endif // brian
//}
const ll MAXn=2e5+5,MAXlg=__lg(MAXn)+2;
const ll MOD=1000000007;
const ll INF=ll(1e15);
#include "prize.h"
ii save[MAXn];
ii myask(ll x)
{
if(save[x].X != -1)return save[x];
else {
auto v = ask(x);
return save[x] = ii(v[0], v[1]);
}
}
ll mxcnt, ans;
void loot(ll x)
{
if(myask(x).X + myask(x).Y == 0)ans = x;
}
void go(int l, int r, int ct, int pre)
{
if(r < l || ct <= 0)return;
ll h = (l + r) / 2;
ii p = myask(h);
if(p.X + p.Y == mxcnt){
go(l, h-1, p.X - pre, pre);
go(h+1, r, ct - (p.X - pre), p.X);
}else{
loot(h);
for(int i = h+1;i <= r;i ++)
{
ii pp = myask(i);
if(pp.X + pp.Y == mxcnt){
go(i+1, r, ct- (pp.X - pre), p.X);
break;
}
else loot(i);
}
for(int i = h-1;i >= l;i --)
{
ii pp = myask(i);
if(pp.X + pp.Y == mxcnt){
go(l, i-1, pp.X - pre, pre);
break;
}
else loot(i);
}
}
}
int find_best(int n) {
REP(i,n)save[i] = ii(-1, -1);
ll start = -1;
ll s = max(0, n / 2 - 500);
for(int i = s;i < s + 1000 && i < n;i ++){
auto p = myask(i);
mxcnt = max(mxcnt, p.X + p.Y);
if(p.X + p.Y == mxcnt) start = i;
if((mxcnt * mxcnt + 1) * (mxcnt * mxcnt + 1) + 1 > n)break;
}
debug(start);
ans = -2;
go(0, start - 1, myask(start).X, 0);
go(start + 1, n-1, myask(start).Y, myask(start).X);
return ans;
}
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