이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include "shortcut.h"
#include <bits/stdc++.h>
#define T pair <long long, long long>
using namespace std;
const long long INF=1LL<<51;
const int mxn=1000001;
long long s[mxn];
int d[mxn],idx[mxn],order[mxn];
T st[mxn*4];
vector <long long> v;
T operator +(T a, T b){
return {max(a.first,b.first),min(a.second,b.second)};
}
void update(int node, int l, int r, int i){
if (l==r){
st[node]={s[l]+d[l],s[l]-d[l]};
return;
}
int mid=(l+r)>>1;
if (mid<i)
update(node<<1|1,mid+1,r,i);
else
update(node<<1,l,mid,i);
st[node]=st[node<<1]+st[node<<1|1];
}
T get(int node, int l, int r, int u, int v){
if (l>v||r<u||l>r||u>v||!node)
return {-INF,INF};
if (l>=u&&r<=v)
return st[node];
int mid=(l+r)>>1;
return get(node<<1,l,mid,u,v)+get(node<<1|1,mid+1,r,u,v);
}
long long find_shortcut(int n, vector <int> l, vector <int> D, int c){
for (int i=0;i<n;i++)
d[i]=D[i];
for (int i=1;i<n;i++){
s[i]=s[i-1]+l[i-1];
v.push_back(s[i]);
}
s[n]=INF;
sort(v.begin(),v.end());
iota(idx,idx+n,0);
iota(order,order+n,0);
sort(idx,idx+n,[](int i, int j){return s[i]+d[i]>s[j]+d[j];});
sort(order,order+n,[](int i, int j){return make_pair(s[i]-d[i],-i)>make_pair(s[j]-d[j],-j);});
vector <int> vd;
for (int i=n-1;i>=0;i--)
if (vd.empty()||vd.back()<order[i])
vd.push_back(order[i]);
reverse(vd.begin(),vd.end());
long long lo=0,hi=INF,kq=-1;
while (lo<=hi){
long long mid=(lo+hi)>>1,ch=0,mnx=-INF,mxx=INF,mny=-INF,mxy=INF;
int pos=0;
for (int i=1;i<=n*4;i++)
st[i]={-INF,INF};
for (int i:vd){
while (pos<n&&s[idx[pos]]+d[idx[pos]]>s[i]-d[i]+mid){
update(1,0,n-1,idx[pos]);
pos++;
}
if (!pos)
continue;
T t=get(1,0,n-1,i+1,n-1);
mnx=max(mnx,s[i]+d[i]+c-mid+t.first);
mxx=min(mxx,s[i]-d[i]-c+mid+t.second);
mny=max(mny,s[i]+d[i]+c-mid-t.second);
mxy=min(mxy,s[i]-d[i]-c+mid-t.first);
}
int tmp=0,j=n;
for (int i=0;i<n;i++){
long long l=max(mnx-s[i],s[i]-mxy),r=min(mxx-s[i],s[i]-mny);
if (mnx-s[i]<s[i]-mxy&&!tmp){
j=0;
tmp=1;
}
if (tmp)
while (j<n&&s[j]<l)
j++;
else{
while (j>=0&&s[j]>=l)
j--;
j++;
}
if (j<n&&s[j]<=r){
ch=1;
break;
}
}
if (ch){
kq=mid;
hi=mid-1;
}
else
lo=mid+1;
}
return kq;
}
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