Submission #1268471

#TimeUsernameProblemLanguageResultExecution timeMemory
1268471MMihalevBulldozer (JOI17_bulldozer)C++20
5 / 100
31 ms328 KiB
#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 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,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;
}
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