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Cod sursa(job #461228)
#include<fstream.h>
#include<math.h>
#include<algorithm>
#include<iomanip.h>
using namespace std;
struct punct{double x,y,d;}p[120000],p0,s[120000];
int i,n,k,j,ps;
double pr;
inline void sch(punct &q,punct &w)
{
punct aux;
aux=q;q=w;w=aux;
}
void cauta_primul()
{
int i,im;
im=0;
for (i=1;i<n;i++)
if (p[i].y<p[im].y) im=i;
else if (p[i].y==p[im].y&&p[i].x<p[im].x) im=i;
sch(p[0],p[im]);
}
inline double status(punct A,punct B,punct C)
{
return A.x*B.y+B.x*C.y+C.x*A.y-B.y*C.x-C.y*A.x-A.y*B.x;
}
double dist(punct A, punct B)
{
double u,v;
u=A.x-B.x;
v=A.y-B.y;
return sqrt(u*u+v*v);
}
int cmp(punct x,punct y)
{
double pr;
pr=status(p0,x,y);
if (pr<0||pr==0&&x.d<y.d) return 0;
return 1;
}
int main()
{
ifstream f("infasuratoare.in");
ofstream g("infasuratoare.out");
f>>n;
for (i=0;i<n;++i) f>>p[i].x>>p[i].y;
cauta_primul();p0=p[0];
for (i=2;i<=n;i++) p[i].d=dist(p0,p[i]);
sort(p+1,p+n,cmp);
i=1;
s[0]=p[0];
s[1]=p[1];
for (j=2;j<n;++j)
if (status(p0,p[j-1],p[j])>0){++i;s[i]=p[j];}
for (j=0;j<=i;++j) p[j]=s[j];
n=i+1;
ps=2;
for (i=3;i<n;++i)
{
do
{
pr=status(s[ps-1],s[ps],p[i]);
if (pr<0) --ps;
}while(pr<0);
s[++ps]=p[i];
}
g<<ps+1<<"\n";
for (i=0;i<=ps;++i)
{g<<fixed<<s[i].x<<' '<<s[i].y<<"\n";}
f.close();
g.close();
return 0;
}