이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
#pragma GCC optimize ("Ofast", "unroll-loops")
using namespace std;
#define ll long long
#define int ll
#define FOR(i,a,b) for (int i = (a); i<(b); i++)
#define REP(i,n) FOR(i,0,n)
#define REP1(i,n) FOR(i,1,n+1)
#define RREP(i,n) for (int i=(n)-1; i>=0; i--)
#define f first
#define s second
#define pb push_back
#define ALL(x) x.begin(),x.end()
#define SZ(x) (int)(x.size())
#define SQ(x) (x)*(x)
#define pii pair<int, int>
#define pdd pair<double ,double>
#define pcc pair<char, char>
#define endl '\n'
//#define TOAD
#ifdef TOAD
#define bug(x) cerr<<__LINE__<<": "<<#x<<" is "<<x<<endl
#define IOS()
#else
#define bug(...)
#define IOS() ios::sync_with_stdio(0), cin.tie(0), cout.tie(0)
#endif
const ll inf = 1ll<<60;
const int iinf=2147483647;
const ll mod = 1e9+7;
const ll maxn=2005;
const double PI=acos(-1);
ll pw(ll x, ll p, ll m=mod){
ll ret=1;
while (p>0){
if (p&1){
ret*=x;
ret%=m;
}
x*=x;
x%=m;
p>>=1;
}
return ret;
}
ll inv(ll a, ll m=mod){
return pw(a,m-2);
}
//=======================================================================================
struct Point{
int x, y, w;
Point operator -(Point b){
return {x-b.x, y-b.y};
}
};
struct Seg{
Point a, b;
int ida, idb;
};
struct Node{
int v, pf, sf, sm;
};
bool operator ==(Point a, Point b){
if (a.x==b.x && a.y==b.y) return 1;
return 0;
}
bool operator <(Point a, Point b){
if (a.y == b.y) return a.x<b.x;
return a.y<b.y;
}
int cross(Point a, Point b){
return a.x*b.y - a.y*b.x;
}
vector<int> pos(maxn);
vector<Node> seg(4*maxn);
vector<Point> vc;
vector<Seg> segs;
int compslop(Seg A, Seg B){
Point ta=A.b-A.a, tb=B.b-B.a;
if (cross(ta, tb)==0) return 0;
else if (cross(ta, tb)<0) return -1;
else return 1;
}
bool shareline(Seg A, Seg B){
int tmp2 = cross(A.b-A.a, B.a-A.a), tmp3 = cross(A.b-A.a, B.b-A.a);
if (tmp2 == 0 && tmp3 == 0) return 1;
return 0;
}
bool cmp(Seg A, Seg B){
int tmp=compslop(A, B);
if (tmp == 0){
if (shareline(A, B)){
// on the same line
if (A.a == B.a) return A.b<B.b;
else return A.a<B.a;
}
else{
// doesn't matter how its ordered except for x-axis
return A.a<B.a;
}
}
else return (tmp+1)/2; // 1 means its smaller, -1 means its bigger
}
int n, fans = 0;
// seg treeeee
void pull(int x){
seg[x].pf = max(seg[x+x].pf, seg[x+x].sm+seg[x+x+1].pf);
seg[x].sf = max(seg[x+x+1].sf, seg[x+x].sf+seg[x+x+1].sm);
seg[x].sm = seg[x+x].sm+seg[x+x+1].sm;
seg[x].v = max({seg[x+x].v, seg[x+x+1].v, seg[x+x].sf+seg[x+x+1].pf});
}
void build(int l, int r, int x){
// use vc's order
if (l==r){
seg[x].v = seg[x].pf = seg[x].sf = max(0ll, vc[l].w);
seg[x].sm = vc[l].w;
return;
}
int mid = (l+r)>>1;
build(l, mid, x+x);
build(mid+1, r, x+x+1);
pull(x);
}
void modify(int l, int r, int pos, int val, int x){
if (l==r){
seg[x].v = seg[x].pf = seg[x].sf = max(0ll, val);
seg[x].sm = val;
return;
}
int mid = (l+r)>>1;
if (l<=pos && pos<=mid){
modify(l, mid, pos, val, x+x);
}
else modify(mid+1, r, pos, val, x+x+1);
pull(x);
}
void swapp(int a, int b){
// index a and b
modify(1, n, pos[b], vc[a].w, 1);
modify(1, n, pos[a], vc[b].w, 1);
swap(pos[a], pos[b]);
}
void check(){
fans = max(fans, seg[1].v);
}
signed main (){
// IOS();
cin>>n;
vc.resize(n+1);
vc[0].x=-inf;
vc[0].y=-inf;
REP1(i, n){
cin>>vc[i].x>>vc[i].y>>vc[i].w;
}
sort(ALL(vc));
REP1(i, n){
pos[i]=i;
// rank of point indexed as i is pos[i]
}
REP1(i, n){
FOR(j, i+1, n+1){
segs.pb({vc[i], vc[j], i, j});
}
}
sort(ALL(segs), cmp);
/*REP(i, SZ(segs)){
// cout<<segs[i].ida<<' '<<segs[i].idb<<endl;
// cout<<segs[i].a.x<<' '<<segs[i].a.y<<" con "<<segs[i].b.x<<' '<<segs[i].b.y<<endl;
}
*/
build(1, n, 1);
fans = seg[1].v;
REP(i, SZ(segs)){
swapp(segs[i].ida, segs[i].idb);
if (i==SZ(segs)-1 || compslop(segs[i], segs[i+1])!=0) {
check();
}
}
cout<<fans<<endl;
}
/*
1:15
*/
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