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Cod sursa(job #460574)
#include<fstream.h>
#include<math.h>
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=1;
for (i=2;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[1],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 main()
{
ifstream f("infasuratoare.in");
ofstream g("infasuratoare.out");
f>>n;
for (i=1;i<=n;++i) f>>p[i].x>>p[i].y;
cauta_primul();p0=p[1];
for (i=2;i<=n;i++)p[i].d=dist(p0,p[i]);
do
{
k=0;
for (i=2;i<n;++i)
{
pr=status(p0,p[i],p[i+1]);
if (pr<0||pr==0&&p[i].d<p[i+1].d)
{
sch(p[i],p[i+1]);
k=1;
}
}
}while (k==1);
i=2;s[1]=p[1];s[2]=p[2];
for (j=3;j<=n;++j)
if (status(p0,p[j-1],p[j])>0){++i;s[i]=p[j];}
// pot lucra si cu p-ul ca stiva!!!
for (j=1;j<=i;++j) p[j]=s[j];
for (j=4;j<=n;++j) s[j]=s[0];
n=i;ps=3;
for (i=4;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<<"\n";
for (i=1;i<=ps;++i)
g<<s[i].x<<" "<<s[i].y<<"\n";
f.close();
g.close();
return 0;
}