Cod sursa(job #3354666)

Utilizator coldsh1tANdrei coldsh1t Data 19 mai 2026 17:50:41
Problema Infasuratoare convexa Scor 0
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.53 kb
#include <iostream>
#include <fstream>
#include <algorithm>

using namespace std;

ifstream fin("infasuratoare.in");
ofstream fout("infasuratoare.out");

struct q
{
    double x, y;
};

q v[120005];

int cmp(q a, q b)
{
    if(a.x<b.x)
    {
        return true;
    }
    else if(a.x>b.x)
    {
        return false;
    }
    else
    {
        if(a.y<b.y)
        {
            return true;
        }
        return false;
    }
}

int arie(q a, q b, q c)
{
    return a.x*b.y+b.x*c.y+c.x*a.y-c.x*b.y-a.x*c.y-b.x*a.y;
}

q st1[120005], st2[120005];

int main()
{
    int n;
    fin>>n;
    for(int i=1;i<=n;i++)
    {
        fin>>v[i].x>>v[i].y;
    }
    sort(v+1, v+n+1, cmp);

    int k1=2;
    st1[1].x=v[1].x;
    st1[1].y=v[1].y;
    st1[2].y=v[2].y;
    st1[2].x=v[2].x;

    for(int i=3;i<=n;i++)
    {
        while(k1>2 && arie(st1[k1-1], st1[k1], v[i])<0)
        {
            k1--;
        }
        st1[++k1]=v[i];
    }

    int ktotal=0;
    ktotal+=k1;

    int k2=2;

    st2[1].x=v[1].x;
    st2[1].y=v[1].y;
    st2[2].y=v[2].y;
    st2[2].x=v[2].x;

    for(int i=3;i<=n;i++)
    {
        while(k2>2 && arie(st2[k2-1], st2[k2], v[i])>0)
        {
            k2--;
        }
        st2[++k2]=v[i];
    }

    ktotal+=k2;

    fout<<ktotal-3<<"\n";

    for(int i=1;i<=k1;i++)
    {
        fout<<st1[i].x<<" "<<st1[i].y<<"\n";
    }

    for(int i=k2-2;i>0;i--)
    {
        fout<<st2[i].x<<" "<<st2[i].y<<"\n";
    }

    return 0;
}