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>
bool home = 1;
using namespace std;
struct T {
int x;
int y;
int z;
int tx;
int ty;
int tz;
};
bool cmp_x_inv(T a,T b) {
return a.x>b.x;
}
typedef long long ll;
const int N=150000+7;
const int INF=(int)1e9+7;
int n,zm[N],invy[N],invz[N],value[N];
T a[N];
int aib1[N];
void clr1() {
for (int i=1;i<=n;i++) aib1[i]=-INF;
}
int get1(int i) {
int sol=-INF;
while (i) {
sol=max(sol,aib1[i]);
i-=i&(-i);
}
return sol;
}
void upd1(int i,int x) {
while (i<=n){
aib1[i]=max(aib1[i],x);
i+=i&(-i);
}
}
unordered_map<int, int> aib[N];
int dim[N];
void clr() {
for (int i=1;i<=n;i++) aib[i].clear(),dim[i]=0;
}
void upd(int x,int y,int val) {
for (int i=x;i<=n;i+=i&(-i)) {
for (int j=y;j<=n;j+=j&(-j)) {
aib[i][j]=max(aib[i][j],val);
}
}
}
int get(int x,int y) {
int sol=-INF;
for (int i=x;i>=1;i-=i&(-i)) {
for (int j=y;j>=1;j-=j&(-j)) {
if (aib[i].count(j)) {
sol=max(sol,aib[i][j]);
}
}
}
return sol;
}
signed main() {
#ifdef ONLINE_JUDGE
home = 0;
#endif
home=0;
if (home) {
freopen("I_am_iron_man", "r", stdin);
}
else {
ios::sync_with_stdio(0); cin.tie(0);
}
cin>>n;
for (int i=1;i<=n;i++) {
cin>>a[i].x>>a[i].y>>a[i].z;
}
sort(a+1,a+n+1,cmp_x_inv);
{
map<int, int> tx,ty,tz;
for (int i=1;i<=n;i++) tx[a[i].x]=0,ty[a[i].y]=0,tz[a[i].z]=0;
int ind;
ind=0; for (auto &it:tx)it.second=++ind;
ind=0; for (auto &it:ty)it.second=++ind, invy[ind]=it.first;
ind=0; for (auto &it:tz)it.second=++ind, invz[ind]=it.first;
for (int i=1;i<=n;i++) a[i].tx=tx[a[i].x], a[i].ty=ty[a[i].y], a[i].tz=tz[a[i].z];
}
int print=-1;
for (int ITER=0;ITER<2;ITER++) {
clr1();
clr();
for (int i=n;i>=1;i--) { /// optimize using aib
zm[i]=get1(a[i].ty-1);
upd1(a[i].ty,a[i].tz);
if (zm[i]<=a[i].tz) zm[i]=-INF;
if (1<=zm[i]&&zm[i]<=n) value[i]=invz[zm[i]]+a[i].y; else assert(zm[i]==-INF);
}
for (int i=1;i<=n;i++) {
if(zm[i]==-INF) continue;
int y=n+1-a[i].ty,z=n+1-zm[i];
for (int p=y;p<=n;p+=p&(-p)) {
dim[p]++;
}
}
for (int i=1;i<=n;i++) aib[i].rehash(5*dim[i]);
int last=n;
while(last>=1){
int first=last;
while(first-1>=1&&a[first-1].x==a[first].x) first--;
for (int i=first;i<=last;i++) {
print=max(print,get(n-a[i].ty,n-a[i].tz)+a[i].x);
}
for (int i=first;i<=last;i++) {
if (zm[i]!=-INF) {
upd(n+1-a[i].ty,n+1-zm[i],value[i]);
}
}
last=first-1;
}
for (int i=1;i<=n;i++) swap(a[i].y,a[i].z), swap(a[i].ty,a[i].tz), swap(invz[i],invy[i]);
}
cout<<print<<"\n";
}
Compilation message (stderr)
team.cpp: In function 'int main()':
team.cpp:118:25: warning: unused variable 'z' [-Wunused-variable]
118 | int y=n+1-a[i].ty,z=n+1-zm[i];
| ^
team.cpp:82:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
82 | freopen("I_am_iron_man", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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