Cod sursa(job #3269990)

Utilizator MegaCoderMinoiu Teodor Mihai MegaCoder Data 21 ianuarie 2025 17:48:59
Problema Infasuratoare convexa Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.33 kb
#include <fstream>
#include<algorithm>
#include<vector>
#include<iomanip>
using namespace std;
ifstream fin("infasuratoare.in");
ofstream fout("infasuratoare.out");
struct point
{
    double x,y;
    bool operator == (point b)
    {
        return x==b.x&&y==b.y;
    }
} v[120005],start;
int n;
double aria(point a,point b,point c)
{
    a.x-=c.x;
    b.x-=c.x;
    a.y-=c.y;
    b.y-=c.y;
    return a.x*b.y-a.y*b.x;
}
bool comp(point a,point b)
{
    if(a==start)
        return true;
    if(b==start)
        return false;
    double val=aria(start,a,b);
    if(val==0)
        return a.x<b.x;
    return val>0;
}
int main()
{
    start={2e9,2e9};
    fin>>n;
    for(int i=1;i<=n;i++)
    {
        fin>>v[i].x>>v[i].y;
        if(v[i].x<start.x)
            start=v[i];
        else if(v[i].x==start.x)
            start.y=min(start.y,v[i].y);
    }
    sort(v+1,v+n+1,comp);
    vector<point> sol;
    for(int i=1;i<=n;i++)
    {
        point p=v[i];
        while(sol.size()>=2)
        {
            int lg=(int)sol.size();
            point a=sol[lg-2];
            point b=sol[lg-1];
            if(aria(a,b,p)<0)
                sol.pop_back();
            else
                break;
        }
        sol.push_back(p);
    }
    fout<<sol.size()<<'\n';
    for(point p:sol)
        fout<<fixed<<setprecision(12)<<p.x<<' '<<p.y<<'\n';
    return 0;
}