Submission #1289741

#TimeUsernameProblemLanguageResultExecution timeMemory
1289741MMihalevOvertaking (IOI23_overtaking)C++20
0 / 100
1 ms416 KiB
#include<iostream>
#include<algorithm>
#include<vector>
//#include "overtaking.h"
using namespace std;
const int MAX_N=1e3+3;
struct line
{
    long long m,c;
    long long calc(long long x){return m*x+c;}
    long double intersect(line l){return (long double)(c-l.c)/(l.m-m);}
};
vector<line>lines;
vector<int>s;
long long l,n,m,x;
long double nxtpoint[MAX_N];
int nxtid[MAX_N];
void init(int L, int N, std::vector<long long> T, std::vector<int> W, int X, int M, std::vector<int> S)
{
    l=L;
    n=N;
    x=X;
    m=M;
    s=S;
    vector<pair<int,int>>order;
    for(int i=0;i<n;i++)
    {
        order.push_back({W[i],i});
    }
    sort(order.begin(),order.end());
    for(int i=0;i<n;i++)
    {
        int id=order[i].second;
        line l;
        l.m=W[id];
        l.c=T[id];
        lines.push_back(l);
    }

    for(int i=0;i<n;i++)
    {
        line cur=lines[i];
        nxtpoint[i]=-1;
        for(int j=i+1;j<n;j++)
        {
            line l=lines[j];
            auto curpoint=cur.intersect(l);
            if(curpoint<=0)continue;
            if(nxtpoint[i]==-1 or curpoint<=nxtpoint[i])
            {
                nxtpoint[i]=curpoint;
                nxtid[i]=j;
            }
        }
    }
}

long long arrival_time(long long Y)
{
    line cur;
    cur.m=x;
    cur.c=Y;

    int id,idd;
    for(int jj=1;jj<s.size();jj++)
    {
        int prvloc=s[jj-1];
        int loc=s[jj];


        long double point=-1;
        idd=0;
        for(auto l:lines)
        {
            if(l.m>cur.m)
            {
                auto curpoint=cur.intersect(l);
                if(curpoint>loc && (point==-1 or curpoint<=point))
                {
                    point=curpoint;
                    id=idd;
                }
            }
            idd++;
        }

        if(point>=loc or point==-1)
        {
            continue;
        }

        while(nxtpoint[id]!=-1 && nxtpoint[id]<=loc)
        {
            id=nxtid[id];
        }

        cur.c+=lines[id].calc(loc)-cur.calc(loc);
    }

    return lines[id].calc(l);
}

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