Cod sursa(job #1372615)

Utilizator margikiMargeloiu Andrei margiki Data 4 martie 2015 14:36:45
Problema Infasuratoare convexa Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 1.2 kb
# include <fstream>
# include <algorithm>
# include <iomanip>
# define nmax 120001
using namespace std;
ifstream f("infasuratoare.in");
ofstream g("infasuratoare.out");
struct elem
{
    double x,y;
}a[nmax];
bool cmp (elem A, elem B)
{
    double dx1, dx2, dy1, dy2;
    dx1=A.x-a[1].x;
    dx2=B.x-a[1].x;

    dy1=A.y-a[1].y;
    dy2=B.y-a[1].y;
    if (dy1*dx2 >= dx1*dy2) return 0;
                      else  return 1;
}
int i,j,n,m,x,y,VV,poz;
int st[nmax];
double det (elem a, elem b, elem c)
{
    return (a.x*b.y + b.x*c.y + c.x*a.y - a.x*c.y - c.x*b.y - b.x*a.y);
}
void infasuratoare ()
{
    st[1]=1; st[2]=2; VV=2;
    for (int i=3; i<=n; ++i)
    {
        while (VV>1 && det (a[st[VV-1]], a[st[VV]], a[i])<0)
            --VV;
        st[++VV]=i;
    }

    g<<VV<<"\n";
    for (int i=1; i<=VV; ++i)
        g<<fixed<<setprecision(6)<<a[st[i]].x<<" "<<a[st[i]].y<<"\n";
}
int main ()
{
    f>>n; poz=1;
    for (i=1; i<=n; ++i)
    {
        f>>a[i].x>>a[i].y;
        if (a[i].x<a[poz].x) poz=i;
        else if (a[i].x==a[poz].x && a[i].y<=a[poz].y) poz=i;
    }
    swap (a[1], a[poz]);
    sort (a+2, a+n+1, cmp);

    infasuratoare ();

    return 0;
}