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>
#define endl '\n'
using namespace std;
struct Point
{
long long x, y, val, nom;
Point() {}
Point(long long a, long long b, long long c, long long d)
{
x=a;
y=b;
val=c;
nom=d;
}
};
bool operator<(Point p, Point q)
{
if(p.x==q.x) return p.y>q.y;
return p.x<q.x;
}
struct Line
{
Point a, b;
Line() {}
Line(Point p, Point q)
{
a.x=p.x;
a.y=p.y;
a.val=p.val;
a.nom=p.nom;
b.x=q.x;
b.y=q.y;
b.val=q.val;
b.nom=q.nom;
}
};
bool cmp(Line p, Line q)
{
if(p.a.x==p.b.x && q.a.x==q.b.x) return (p.b.y-p.a.y) > (q.b.y-q.a.y);
if(p.a.x==p.b.x) return 1;
if(q.a.x==q.b.x) return 0;
return ((p.b.y-p.a.y) * (q.b.x-q.a.x)) < ((q.b.y-q.a.y) * (p.b.x-p.a.x));
}
bool operator==(Line p, Line q)
{
return ((p.b.y-p.a.y) * (q.b.x-q.a.x)) == ((q.b.y-q.a.y) * (p.b.x-p.a.x));
}
long long n, brl=0;
long long pos[2005];
Point P[2005];
vector<Line> L;
long long ans=0;
long long A[2005];
void solve()
{
long long res=0;
for(long long i=0; i<n; i++)
{
res+=A[i];
if(res<0) res=0;
if(res>ans) ans=res;
}
}
long long sum[8005], pref[8005], suf[8005], mx[8005];
void update(int v, int le, int ri, int id, long long val)
{
//cout<<v<<' '<<le<<" "<<ri<<endl;
if(le==ri)
{
sum[v]=val;
pref[v]=max(sum[v], 0LL);
suf[v]=max(sum[v], 0LL);
mx[v]=max(sum[v], 0LL);
return;
}
int mid=(le+ri)/2;
if(id<=mid) update(2*v, le, mid, id, val);
else update(2*v+1, mid+1, ri, id, val);
sum[v]=sum[2*v]+sum[2*v+1];
pref[v]=max(pref[2*v], sum[2*v]+pref[2*v+1]);
suf[v]=max(suf[2*v+1], suf[2*v]+sum[2*v+1]);
mx[v]=max(max(mx[2*v], mx[2*v+1]), suf[2*v]+pref[2*v+1]);
}
int main()
{
// ios::sync_with_stdio(0);
// cin.tie(0);
// cout.tie(0);
cin>>n;
for(long long i=0; i<n; i++) cin>>P[i].x>>P[i].y>>P[i].val;
sort(P, P+n);
for(long long i=0; i<n; i++) P[i].nom=i;
for(long long i=0; i<n; i++)
{
A[i]=P[i].val;
pos[i]=i;
for(long long j=i+1; j<n; j++)
{
L.push_back(Line(P[i], P[j]));
///cout<<L[brl].a.x<<" "<<L[brl].a.y<<" "<<L[brl].b.x<<" "<<L[brl].b.y<<"\n";
brl++;
}
}
///cout<<brl<<endl;
sort(L.begin(), L.end(), cmp);
for(int i=0; i<n; i++)
{
update(1, 0, n-1, i, A[i]);
}
for(long long i=0; i<brl; i++)
{
/// cout<<L[i].a.x<<" "<<L[i].a.y<<" "<<L[i].b.x<<" "<<L[i].b.y<<endl;
if(i==0 || !(L[i]==L[i-1])) ans=max(ans, mx[1]); ///cout<<i<<endl;}
Point t1=L[i].a, t2=L[i].b;
update(1, 0, n-1, pos[t2.nom], A[pos[t1.nom]]);
update(1, 0, n-1, pos[t1.nom], A[pos[t2.nom]]);
swap(A[pos[t1.nom]], A[pos[t2.nom]]);
swap(pos[t1.nom], pos[t2.nom]);
}
ans=max(ans, mx[1]);
cout<<ans<<endl;
return 0;
}
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