#include<bits/stdc++.h>
using namespace std;
#ifndef BADGNU
#pragma GCC target("sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")
#endif
#pragma GCC optimize("Ofast,unroll-loops,fast-math,O3")
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
#define ll long long
#define int ll
#define ld long double
#define y1 cheza
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
template<class T> using ordered_set = tree<T,null_type,less<T>,rb_tree_tag,tree_order_statistics_node_update>;
template<class T> using ordered_multiset = tree<T,null_type,less_equal<T>,rb_tree_tag,tree_order_statistics_node_update>;
const int N=4100;
const int M=1<<13;
const int B=447;
const int mod=998244353;
const ll INF=1e18;
const int dx[]={1,-1,0,0};
const int dy[]={0,0,1,-1};
const double eps=1e-6;
struct pt{
int x,y;
int w;
};
bool operator<(const pt&a,const pt&b){
if(a.x==b.x){
if(a.y==b.y){
return a.w<b.w;
}
return a.y<b.y;
}
return a.x<b.x;
}
bool operator==(const pt&a,const pt&b){
return (a.x==b.x)&&(a.y==b.y)&&(a.w==b.w);
}
struct upside{
ll l[M],r[M],dif[M];
int sz=(M>>1);
void init(){
for(int i=0;i<sz*2-1;i++){
l[i]=INF;
r[i]=-INF;
dif[i]=0;
}
}
void upd(int k,int x){
k+=(sz-1);
l[k]=x;
r[k]=x;
while(k>0){
k=(k-1)>>1;
r[k]=max(r[k*2+1],r[k*2+2]);
l[k]=min(l[k*2+1],l[k*2+2]);
dif[k]=max(dif[k*2+1],dif[k*2+2]);
dif[k]=max(dif[k],r[k*2+2]-l[k*2+1]);
}
}
}seg;
int n;
pt A[N];
int p[N];
int pref[N];
void test(){
cin>>n;
for(int i=1;i<=n;i++){
cin>>A[i].x>>A[i].y>>A[i].w;
}
sort(A+1,A+n+1);
vector<array<int,4>>v;
for(int i=1;i<=n;i++){
pref[i]=pref[i-1]+A[i].w;
p[i]=i;
for(int j=i+1;j<=n;j++){
if(A[i].x<A[j].x){
v.push_back({A[i].y-A[j].y,A[j].x-A[i].x,i,j});
}
}
}
sort(v.begin(),v.end(),[](array<int,4>a,array<int,4>b){
if(a[0]*b[1]==b[0]*a[1]){
if(a[2]==b[2]){
return a[3]>b[3];
}
return a[2]>b[2];
}
return a[0]*b[1]>b[0]*a[1];
});
seg.init();
for(int i=0;i<=n;i++){
seg.upd(i,pref[i]);
}
ll ans=seg.dif[0];
for(int i=0;i<v.size();i++){
auto [k,h,l,r]=v[i];
pref[p[l]]+=pref[p[l]+1]-2*pref[p[l]]+pref[p[l]-1];
seg.upd(p[l],pref[p[l]]);
swap(p[l],p[r]);
if(i+1==v.size()){
ans=max(ans,seg.dif[0]);
break;
}
auto [k2,h2,l2,r2]=v[i+1];
if(k*h2!=k2*h){
ans=max(ans,seg.dif[0]);
}
}
cout<<ans<<'\n';
}
/*
*/
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
// cout.tie(nullptr);
int t2=1;
// cin>>t2;
for(int i=1;i<=t2;i++){
test();
}
}
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |
# | Verdict | Execution time | Memory | Grader output |
---|
Fetching results... |