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Cod sursa(job #461149)
#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];
long 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()
{
long 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 prod(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 compara (const void * a, const void * b)
{
//return ( *(int*)a - *(int*)b );
punct u,v;
u=*((punct*)a);
v=*((punct*)b);
double pr;
pr=prod(p0,v,u);
if(u.x==v.x &&u.y==v.y)return 0;
if (pr<0||pr==0&&u.d>v.d) return -1;
return 1;
}
int main()
{long i;
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=1;i<n;i++) p[i].d=dist(p0,p[i]);
i=n-1;
punct *t;
t=p+1;
qsort(t,i,sizeof(punct),compara);
i=1;
s[0]=p[0];
s[1]=p[1];
for (j=2;j<n;++j)
if (prod(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=prod(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<<setprecision(13)<<s[i].x;
g<<" "<<setprecision(12)<<s[i].y<<"\n";}
f.close();
g.close();
return 0;
}