Cod sursa(job #2054189)

Utilizator Juve45UAIC Alexandru Ionita Juve45 Data 1 noiembrie 2017 19:32:50
Problema Infasuratoare convexa Scor 50
Compilator cpp Status done
Runda Arhiva educationala Marime 1.12 kb
#include <bits/stdc++.h>
 
#define dbg(x) cerr<<#x": "<<x<<"\n"
using namespace std;
 
//ifstream fin("infasuratoare.in");
//ofstream fout("infasuratoare.out");
 
int n,i,m;
struct p{ double x, y;} puncte[120001],top[120001];
 
double area(p a, p b,p c)
{
  return a.x*b.y + b.x*c.y + a.y*c.x - c.x*b.y - b.x*a.y - c.y*a.x;
}
 
bool comparator(p a, p b)
{
  return area(puncte[1], a, b)>=0;
}
 
int main()
{
  freopen("infasuratoare.in", "r", stdin);
  freopen("infasuratoare.out", "w", stdout);
  m=1;
  cin>>n;
  for (i=1;i<=n;i++)
  {
    cin>>puncte[i].x>>puncte[i].y;
    if (puncte[m].x<puncte[i].x)
      m=i;
    else if (puncte[i].x == puncte[m].x && puncte[i].y < puncte[m].y)
      m=i;
  }
  //puncte[0] = {0., 0.};
  swap(puncte[1],puncte[m]);
  sort(puncte+2, puncte+n+1, comparator);


  int x=0;
  for (i=1;i<=n;i++)
  {
    while (x>1&&area(top[x-1],top[x],puncte[i])<0) 
    {
      //dbg(area(top[x-1],top[x],puncte[i]));
      //dbg(top[x].x);
      //dbg(top[x].y);
      //dbg(i);
      x--;
    }
    top[++x]=puncte[i];
  }
  cout<<x<<endl;
  for (int i=1;i<=x;i++)
    cout<<fixed<<top[i].x<<' '<<top[i].y<<'\n';
  return 0;
}