#include <iostream>
#include <vector>
#include <algorithm>
#include <map>
#define int long long
using namespace std;
struct point{
int x,y,val;
}p[150001][2];
int ft[150001][2],n,x[150001],y[150001],z[150001],id[3],val[150001][3],res,szx,szy,idx[150001];
vector <int> v[3],node[150001],bit[150001];
map <int, int> mp[3];
vector <pair <int, point> > pending;
void update(int x, int val, int idx){
for (;x<=n;x+=x&(-x))
ft[x][idx]=max(ft[x][idx],val);
}
int get(int i, int idx){
int res=0;
for (;i;i-=i&(-i))
res=max(res,ft[i][idx]);
return res;
}
void fakeUpdate(int x, int y){
if (x==szx||y==szy)
return;
for (;x<=szx;x+=x&-x)
node[x].push_back(y);
}
void fakeGet(int x, int y){
for (;x;x-=x&-x)
node[x].push_back(y);
}
void update2D(int x, int yy, int val) {
if (x==szx||yy==szy)
return;
for (;x<=szx;x+=x&-x)
for (int y=lower_bound(node[x].begin(),node[x].end(),yy)-node[x].begin()+1;y<=node[x].size();y+=y&-y)
bit[x][y-1]=max(bit[x][y-1],val);
}
int get2D(int x, int yy){
int res=-1000000000;
for (;x;x-=x&-x)
for (int y=lower_bound(node[x].begin(),node[x].end(),yy)-node[x].begin()+1;y;y-=y&-y)
res=max(res,bit[x][y-1]);
return res;
}
bool cmp(int i, int j){
return x[i]<x[j];
}
signed main(){
ios_base::sync_with_stdio(NULL);cin.tie(nullptr);
cin >> n;
for (int i=0;i<n;i++){
cin >> x[i] >> y[i] >> z[i];
v[0].push_back(x[i]);
v[1].push_back(y[i]);
v[2].push_back(z[i]);
idx[i]=i;
}
sort(idx,idx+n,cmp);
for (int i=0;i<3;i++){
sort(v[i].begin(),v[i].end());
for (int j:v[i])
if (!mp[i].count(j)){
mp[i][j]=++id[i];
val[id[i]][i]=j;
}
}
for (int i=0;i<n;i++){
x[i]=mp[0][x[i]];
y[i]=mp[1][y[i]];
z[i]=mp[2][z[i]];
szx=max(szx,y[i]+1);
szy=max(szy,z[i]+1);
}
for (int i=0;i<n;i++){
p[i][0].x=y[i];
int mx=get(y[i]-1,0);
if (mx>z[i]){
p[i][0].y=mx;
p[i][0].val=val[y[i]][1]+val[mx][2];
}
p[i][1].y=z[i];
mx=get(z[i]-1,1);
if (mx>y[i]){
p[i][1].x=mx;
p[i][1].val=val[mx][1]+val[z[i]][2];
}
update(y[i],z[i],0);
update(z[i],y[i],1);
}
for (int i=0;i<n;i++){
p[i][0].x=szx-p[i][0].x;
p[i][0].y=szy-p[i][0].y;
p[i][1].x=szx-p[i][1].x;
p[i][1].y=szy-p[i][1].y;
y[i]=szx-y[i];
z[i]=szy-z[i];
fakeUpdate(p[i][0].x,p[i][0].y);
fakeUpdate(p[i][1].x,p[i][1].y);
fakeGet(y[i]-1,z[i]-1);
}
for (int i=1;i<=n;i++){
bit[i].resize(node[i].size());
sort(node[i].begin(),node[i].end());
}
for (int r=0;r<n;r++){
int i=idx[r];
if (!pending.empty()){
if (x[i]>pending.back().first)
while (!pending.empty()){
update2D(pending.back().second.x,pending.back().second.y,pending.back().second.val);
pending.pop_back();
}
}
pending.push_back(make_pair(x[i],p[i][0]));
pending.push_back(make_pair(x[i],p[i][1]));
res=max(res,val[x[i]][0]+get2D(y[i]-1,z[i]-1));
}
cout << (res?res:-1);
}
Compilation message
team.cpp: In function 'void update2D(long long int, long long int, long long int)':
team.cpp:38:85: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
38 | for (int y=lower_bound(node[x].begin(),node[x].end(),yy)-node[x].begin()+1;y<=node[x].size();y+=y&-y)
| ~^~~~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
7380 KB |
Output is correct |
| 2 |
Correct |
4 ms |
7396 KB |
Output is correct |
| 3 |
Correct |
4 ms |
7336 KB |
Output is correct |
| 4 |
Correct |
4 ms |
7380 KB |
Output is correct |
| 5 |
Incorrect |
3 ms |
7380 KB |
Output isn't correct |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
7380 KB |
Output is correct |
| 2 |
Correct |
4 ms |
7396 KB |
Output is correct |
| 3 |
Correct |
4 ms |
7336 KB |
Output is correct |
| 4 |
Correct |
4 ms |
7380 KB |
Output is correct |
| 5 |
Incorrect |
3 ms |
7380 KB |
Output isn't correct |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
7380 KB |
Output is correct |
| 2 |
Correct |
4 ms |
7380 KB |
Output is correct |
| 3 |
Correct |
4 ms |
7380 KB |
Output is correct |
| 4 |
Correct |
4 ms |
7380 KB |
Output is correct |
| 5 |
Incorrect |
4 ms |
7336 KB |
Output isn't correct |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
7380 KB |
Output is correct |
| 2 |
Correct |
4 ms |
7380 KB |
Output is correct |
| 3 |
Correct |
4 ms |
7380 KB |
Output is correct |
| 4 |
Correct |
4 ms |
7380 KB |
Output is correct |
| 5 |
Incorrect |
4 ms |
7336 KB |
Output isn't correct |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
7380 KB |
Output is correct |
| 2 |
Correct |
4 ms |
7380 KB |
Output is correct |
| 3 |
Correct |
4 ms |
7380 KB |
Output is correct |
| 4 |
Correct |
4 ms |
7380 KB |
Output is correct |
| 5 |
Incorrect |
4 ms |
7336 KB |
Output isn't correct |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
7380 KB |
Output is correct |
| 2 |
Correct |
4 ms |
7380 KB |
Output is correct |
| 3 |
Correct |
4 ms |
7380 KB |
Output is correct |
| 4 |
Correct |
4 ms |
7380 KB |
Output is correct |
| 5 |
Incorrect |
4 ms |
7336 KB |
Output isn't correct |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
7380 KB |
Output is correct |
| 2 |
Correct |
4 ms |
7396 KB |
Output is correct |
| 3 |
Correct |
4 ms |
7336 KB |
Output is correct |
| 4 |
Correct |
4 ms |
7380 KB |
Output is correct |
| 5 |
Incorrect |
3 ms |
7380 KB |
Output isn't correct |
| 6 |
Halted |
0 ms |
0 KB |
- |
