#include<iostream>
#include<vector>
#include<algorithm>
#include<cmath>
using namespace std;
const int MAX_N=2e2+2;
const long long INF=(1LL<<62);
int n;
long long x[MAX_N];
long long y[MAX_N];
long long cost[MAX_N];
bool allzero=1;
vector<pair<long long,long long>>order;
long long distance(long long A,long long B,long long C,long long x0,long long y0)
{
return A*x0+B*y0;
}
long long solvefor()
{
long long curbest=0;
for(int i=0;i<order.size();i++)
{
long long cur=0;
for(int j=i;j<order.size();j++)
{
cur+=order[j].second;
curbest=max(curbest,cur);
}
}
return curbest;
}
vector<pair<long long,long long>>norder;
void normalize()
{
norder.clear();
norder.push_back(order[0]);
for(int i=1;i<order.size();i++)
{
if(order[i].first==norder.back().first)
{
norder.back().second+=order[i].second;
continue;
}
norder.push_back(order[i]);
}
swap(order,norder);
}
void solve()
{
for(int i=1;i<=n;i++)
{
order.push_back({x[i],cost[i]});
}
sort(order.begin(),order.end());
normalize();
long long ans=max(0LL,solvefor());
if(!allzero)
{
for(int i=1;i<=n;i++)
{
for(int j=i+1;j<=n;j++)
{
long long A=y[i]-y[j];
long long B=x[j]-x[i];
long long C=-A*x[i]-B*y[i];
long long gc=__gcd(A,B);
//gc=__gcd(gc,C);
A/=gc;B/=gc;//C/=gc;
order.clear();
for(int idx=1;idx<=n;idx++)
{
order.push_back({distance(A,B,C,x[idx],y[idx]),cost[idx]});
}
sort(order.begin(),order.end());
normalize();
ans=max(ans,solvefor());
}
}
}
cout<<ans<<"\n";
}
int main ()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
cin>>n;
for(int i=1;i<=n;i++)
{
cin>>x[i]>>y[i]>>cost[i];
if(y[i]!=0)allzero=0;
}
solve();
return 0;
}
# | 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... |