#include<bits/stdc++.h>
#pragma GCC optimize("Ofast,unroll-loops")
using namespace std;
const int N=3e5+5;
const int INF=INT_MAX/2;
int n;
int a[3*N],b[N],c[N],pos[3*N];
bool lo[3*N],d[3*N];
struct Info{
int sum,pre,suf,mx;
static Info unit(){
return {0,-INF,-INF,-INF};
}
friend Info operator+(const Info &l,const Info &r){
return {l.sum+r.sum,max(l.pre,l.sum+r.pre),max(r.suf,r.sum+l.suf),max({l.mx,r.mx,l.suf+r.pre})};
}
};
struct Deque{
using P = pair<Info,int>;
deque<P> dq;
vector<Info> l,r;
void rebalance(bool left){
int s=dq.size();
int m=(s+left)/2;
l.clear(),r.clear();
{
Info sum=Info::unit();
for(int i=m-1;i>=0;i--){
sum=dq[i].first+sum;
l.emplace_back(sum);
}
}
{
Info sum=Info::unit();
for(int i=m;i<s;i++){
sum=sum+dq[i].first;
r.emplace_back(sum);
}
}
}
bool empty(){return dq.empty();}
int size(){return dq.size();};
P front(){return dq.front();}
P back(){return dq.back();}
void push_front(Info x,int v){
dq.emplace_front(x,v);
if(l.empty())l.emplace_back(x);
else l.emplace_back(x+l.back());
}
void push_back(Info x,int v){
dq.emplace_back(x,v);
if(r.empty())r.emplace_back(x);
else r.emplace_back(r.back()+x);
}
void push_front(P x){push_front(x.first,x.second);}
void push_back(P x){push_back(x.first,x.second);}
void pop_front(){
assert(!dq.empty());
if(l.empty())rebalance(true);
dq.pop_front();
l.pop_back();
}
void pop_back(){
assert(!dq.empty());
if(r.empty())rebalance(false);
dq.pop_back();
r.pop_back();
}
Info query(){
if(dq.empty())return Info::unit();
if(l.empty())return r.back();
if(r.empty())return l.back();
return l.back()+r.back();
}
};
void calc(int *b,bool *d,int k){
int st=0,ed=0;
Deque q1,q2,q3;
auto work=[&](int i){
if(lo[i]){
while(!q1.empty()&&q1.back().second>=pos[i]){
q2.push_front(q1.back());
q1.pop_back();
}
while(!q2.empty()&&q2.front().second<pos[i]){
q1.push_back(q2.front());
q2.pop_front();
}
while(!q3.empty()&&q3.front().second<pos[i]){
q1.push_back(q3.front());
q3.pop_front();
}
}else{
while(!q3.empty()&&q3.front().second<=pos[i]){
q2.push_back(q3.front());
q3.pop_front();
}
while(!q2.empty()&&q2.back().second>pos[i]){
q3.push_front(q2.back());
q2.pop_back();
}
while(!q1.empty()&&q1.back().second>pos[i]){
q3.push_front(q1.back());
q1.pop_back();
}
}
};
for(int i=0;i<3*n;i++){
while(st<n&&b[st]<a[i]-k)st++;
while(st>0&&b[st-1]>=a[i]-k)st--;
while(ed<n&&b[ed]<=a[i]+k)ed++;
while(ed>0&&b[ed-1]>a[i]+k)ed--;
work(i);
Info cur{1,1-ed,1+st,1+st-ed};
if(lo[i])q2.push_front(cur,pos[i]);
else q2.push_back(cur,pos[i]);
if(i>=n){
work(i-n);
if(lo[i-n])q2.pop_front();
else q2.pop_back();
d[i]=(q1.query()+q2.query()+q3.query()).mx<=0;
}
}
}
bool check(int k){
{
int st=0,ed=0;
Deque q1,q2,q3;
auto work=[&](int i){
if(lo[i]){
while(!q1.empty()&&q1.back().second>=pos[i]){
q2.push_front(q1.back());
q1.pop_back();
}
while(!q2.empty()&&q2.front().second<pos[i]){
q1.push_back(q2.front());
q2.pop_front();
}
while(!q3.empty()&&q3.front().second<pos[i]){
q1.push_back(q3.front());
q3.pop_front();
}
}else{
while(!q3.empty()&&q3.front().second<=pos[i]){
q2.push_back(q3.front());
q3.pop_front();
}
while(!q2.empty()&&q2.back().second>pos[i]){
q3.push_front(q2.back());
q2.pop_back();
}
while(!q1.empty()&&q1.back().second>pos[i]){
q3.push_front(q1.back());
q1.pop_back();
}
}
};
for(int i=0;i<3*n;i++){
while(st<n&&b[st]<a[i]-k)st++;
while(st>0&&b[st-1]>=a[i]-k)st--;
while(ed<n&&b[ed]<=a[i]+k)ed++;
while(ed>0&&b[ed-1]>a[i]+k)ed--;
work(i);
Info cur{1,1-ed,1+st,1+st-ed};
if(lo[i])q2.push_front(cur,pos[i]);
else q2.push_back(cur,pos[i]);
if(i>=n){
work(i-n);
if(lo[i-n])q2.pop_front();
else q2.pop_back();
d[i]=(q1.query()+q2.query()+q3.query()).mx<=0;
}
}
}
{
int st=0,ed=0;
Deque q1,q2,q3;
auto work=[&](int i){
if(lo[i]){
while(!q1.empty()&&q1.back().second>=pos[i]){
q2.push_front(q1.back());
q1.pop_back();
}
while(!q2.empty()&&q2.front().second<pos[i]){
q1.push_back(q2.front());
q2.pop_front();
}
while(!q3.empty()&&q3.front().second<pos[i]){
q1.push_back(q3.front());
q3.pop_front();
}
}else{
while(!q3.empty()&&q3.front().second<=pos[i]){
q2.push_back(q3.front());
q3.pop_front();
}
while(!q2.empty()&&q2.back().second>pos[i]){
q3.push_front(q2.back());
q2.pop_back();
}
while(!q1.empty()&&q1.back().second>pos[i]){
q3.push_front(q1.back());
q1.pop_back();
}
}
};
for(int i=0;i<3*n;i++){
while(st<n&&c[st]<a[i]-k)st++;
while(st>0&&c[st-1]>=a[i]-k)st--;
while(ed<n&&c[ed]<=a[i]+k)ed++;
while(ed>0&&c[ed-1]>a[i]+k)ed--;
work(i);
Info cur{1,1-ed,1+st,1+st-ed};
if(lo[i])q2.push_front(cur,pos[i]);
else q2.push_back(cur,pos[i]);
if(i>=n){
work(i-n);
if(lo[i-n])q2.pop_front();
else q2.pop_back();
if((q1.query()+q2.query()+q3.query()).mx<=0){
if(d[i-n]||(i<2*n&&d[i+n])){
return true;
}
}
}
}
}
return false;
}
int main(){
cin >> n;
vector<pair<int,int>> vals;
for(int i=0;i<2*n;i++){
cin >> a[i];
vals.emplace_back(a[i],i>n?~i:i);
}
sort(vals.begin(),vals.end());
for(int i=0;i<2*n;i++){
int j=vals[i].second;
pos[j<0?~j:j]=i;
}
for(int i=2*n;i<3*n;i++){
a[i]=a[i-2*n];
pos[i]=pos[i-2*n];
}
for(int i=0;i<2*n;i++){
lo[i]=pos[i]<pos[i+n];
}
for(int i=2*n;i<3*n;i++){
lo[i]=lo[i-2*n];
}
for(int i=0;i<n;i++){
cin >> b[i];
}
for(int i=0;i<n;i++){
cin >> c[i];
}
sort(b,b+n);
sort(c,c+n);
int l=0,r=1'000'000'000;
while(l<r){
int m=(l+r)/2;
if(check(m))r=m;
else l=m+1;
}
cout << l << "\n";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
6496 KB |
Output is correct |
2 |
Correct |
1 ms |
6484 KB |
Output is correct |
3 |
Correct |
1 ms |
6484 KB |
Output is correct |
4 |
Correct |
2 ms |
6492 KB |
Output is correct |
5 |
Correct |
2 ms |
6648 KB |
Output is correct |
6 |
Correct |
2 ms |
6480 KB |
Output is correct |
7 |
Correct |
2 ms |
6480 KB |
Output is correct |
8 |
Correct |
2 ms |
6480 KB |
Output is correct |
9 |
Correct |
2 ms |
6596 KB |
Output is correct |
10 |
Correct |
1 ms |
6480 KB |
Output is correct |
11 |
Correct |
1 ms |
6480 KB |
Output is correct |
12 |
Correct |
2 ms |
6480 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
6496 KB |
Output is correct |
2 |
Correct |
1 ms |
6484 KB |
Output is correct |
3 |
Correct |
1 ms |
6484 KB |
Output is correct |
4 |
Correct |
2 ms |
6492 KB |
Output is correct |
5 |
Correct |
2 ms |
6648 KB |
Output is correct |
6 |
Correct |
2 ms |
6480 KB |
Output is correct |
7 |
Correct |
2 ms |
6480 KB |
Output is correct |
8 |
Correct |
2 ms |
6480 KB |
Output is correct |
9 |
Correct |
2 ms |
6596 KB |
Output is correct |
10 |
Correct |
1 ms |
6480 KB |
Output is correct |
11 |
Correct |
1 ms |
6480 KB |
Output is correct |
12 |
Correct |
2 ms |
6480 KB |
Output is correct |
13 |
Correct |
2 ms |
6480 KB |
Output is correct |
14 |
Correct |
2 ms |
6480 KB |
Output is correct |
15 |
Correct |
2 ms |
6480 KB |
Output is correct |
16 |
Correct |
1 ms |
6480 KB |
Output is correct |
17 |
Correct |
1 ms |
6480 KB |
Output is correct |
18 |
Correct |
1 ms |
6480 KB |
Output is correct |
19 |
Correct |
1 ms |
6480 KB |
Output is correct |
20 |
Correct |
1 ms |
6480 KB |
Output is correct |
21 |
Correct |
2 ms |
6480 KB |
Output is correct |
22 |
Correct |
1 ms |
6480 KB |
Output is correct |
23 |
Correct |
2 ms |
6508 KB |
Output is correct |
24 |
Correct |
2 ms |
6480 KB |
Output is correct |
25 |
Correct |
1 ms |
6480 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
6496 KB |
Output is correct |
2 |
Correct |
1 ms |
6484 KB |
Output is correct |
3 |
Correct |
1 ms |
6484 KB |
Output is correct |
4 |
Correct |
2 ms |
6492 KB |
Output is correct |
5 |
Correct |
2 ms |
6648 KB |
Output is correct |
6 |
Correct |
2 ms |
6480 KB |
Output is correct |
7 |
Correct |
2 ms |
6480 KB |
Output is correct |
8 |
Correct |
2 ms |
6480 KB |
Output is correct |
9 |
Correct |
2 ms |
6596 KB |
Output is correct |
10 |
Correct |
1 ms |
6480 KB |
Output is correct |
11 |
Correct |
1 ms |
6480 KB |
Output is correct |
12 |
Correct |
2 ms |
6480 KB |
Output is correct |
13 |
Correct |
2 ms |
6480 KB |
Output is correct |
14 |
Correct |
2 ms |
6480 KB |
Output is correct |
15 |
Correct |
2 ms |
6480 KB |
Output is correct |
16 |
Correct |
1 ms |
6480 KB |
Output is correct |
17 |
Correct |
1 ms |
6480 KB |
Output is correct |
18 |
Correct |
1 ms |
6480 KB |
Output is correct |
19 |
Correct |
1 ms |
6480 KB |
Output is correct |
20 |
Correct |
1 ms |
6480 KB |
Output is correct |
21 |
Correct |
2 ms |
6480 KB |
Output is correct |
22 |
Correct |
1 ms |
6480 KB |
Output is correct |
23 |
Correct |
2 ms |
6508 KB |
Output is correct |
24 |
Correct |
2 ms |
6480 KB |
Output is correct |
25 |
Correct |
1 ms |
6480 KB |
Output is correct |
26 |
Correct |
23 ms |
6832 KB |
Output is correct |
27 |
Correct |
25 ms |
6824 KB |
Output is correct |
28 |
Correct |
17 ms |
6824 KB |
Output is correct |
29 |
Correct |
2 ms |
6480 KB |
Output is correct |
30 |
Correct |
27 ms |
6828 KB |
Output is correct |
31 |
Correct |
22 ms |
6904 KB |
Output is correct |
32 |
Correct |
11 ms |
6736 KB |
Output is correct |
33 |
Correct |
6 ms |
6480 KB |
Output is correct |
34 |
Correct |
26 ms |
6736 KB |
Output is correct |
35 |
Correct |
26 ms |
6836 KB |
Output is correct |
36 |
Correct |
30 ms |
6736 KB |
Output is correct |
37 |
Correct |
22 ms |
6848 KB |
Output is correct |
38 |
Correct |
26 ms |
6856 KB |
Output is correct |
39 |
Correct |
26 ms |
7000 KB |
Output is correct |
40 |
Correct |
17 ms |
7000 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
5045 ms |
56924 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
6496 KB |
Output is correct |
2 |
Correct |
1 ms |
6484 KB |
Output is correct |
3 |
Correct |
1 ms |
6484 KB |
Output is correct |
4 |
Correct |
2 ms |
6492 KB |
Output is correct |
5 |
Correct |
2 ms |
6648 KB |
Output is correct |
6 |
Correct |
2 ms |
6480 KB |
Output is correct |
7 |
Correct |
2 ms |
6480 KB |
Output is correct |
8 |
Correct |
2 ms |
6480 KB |
Output is correct |
9 |
Correct |
2 ms |
6596 KB |
Output is correct |
10 |
Correct |
1 ms |
6480 KB |
Output is correct |
11 |
Correct |
1 ms |
6480 KB |
Output is correct |
12 |
Correct |
2 ms |
6480 KB |
Output is correct |
13 |
Correct |
2 ms |
6480 KB |
Output is correct |
14 |
Correct |
2 ms |
6480 KB |
Output is correct |
15 |
Correct |
2 ms |
6480 KB |
Output is correct |
16 |
Correct |
1 ms |
6480 KB |
Output is correct |
17 |
Correct |
1 ms |
6480 KB |
Output is correct |
18 |
Correct |
1 ms |
6480 KB |
Output is correct |
19 |
Correct |
1 ms |
6480 KB |
Output is correct |
20 |
Correct |
1 ms |
6480 KB |
Output is correct |
21 |
Correct |
2 ms |
6480 KB |
Output is correct |
22 |
Correct |
1 ms |
6480 KB |
Output is correct |
23 |
Correct |
2 ms |
6508 KB |
Output is correct |
24 |
Correct |
2 ms |
6480 KB |
Output is correct |
25 |
Correct |
1 ms |
6480 KB |
Output is correct |
26 |
Correct |
23 ms |
6832 KB |
Output is correct |
27 |
Correct |
25 ms |
6824 KB |
Output is correct |
28 |
Correct |
17 ms |
6824 KB |
Output is correct |
29 |
Correct |
2 ms |
6480 KB |
Output is correct |
30 |
Correct |
27 ms |
6828 KB |
Output is correct |
31 |
Correct |
22 ms |
6904 KB |
Output is correct |
32 |
Correct |
11 ms |
6736 KB |
Output is correct |
33 |
Correct |
6 ms |
6480 KB |
Output is correct |
34 |
Correct |
26 ms |
6736 KB |
Output is correct |
35 |
Correct |
26 ms |
6836 KB |
Output is correct |
36 |
Correct |
30 ms |
6736 KB |
Output is correct |
37 |
Correct |
22 ms |
6848 KB |
Output is correct |
38 |
Correct |
26 ms |
6856 KB |
Output is correct |
39 |
Correct |
26 ms |
7000 KB |
Output is correct |
40 |
Correct |
17 ms |
7000 KB |
Output is correct |
41 |
Execution timed out |
5045 ms |
56924 KB |
Time limit exceeded |
42 |
Halted |
0 ms |
0 KB |
- |