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Cod sursa(job #693085)
#include <algorithm>
#include <stdio.h>
#define INF 0x3f3f3f
#define NMAX 120001
using namespace std;
int n;
struct puncte{
double x,y,pante;
};
puncte a[NMAX];
double pxmin,pymin;
int pozmin;
int stiva[NMAX],nr;
double calcularepanta(int xx)
{
if (a[0].x==a[xx].x)
return INF;
return ((a[xx].y-a[0].y)/(a[xx].x-a[0].x));
}
bool cmp(puncte x1,puncte x2)
{
return (x1.pante<x2.pante);
}
void citire()
{
freopen("infasuratoare.in","r",stdin);
scanf("%d",&n);
scanf("%lg%lg",&a[1].x,&a[1].y);
pxmin=a[1].x;
pymin=a[1].y;pozmin=1;
for (int i=2;i<=n;++i)
{
scanf("%lg%lg",&a[i].x,&a[i].y);
if (a[i].x<pxmin)
pxmin=a[i].x,pymin=a[i].y,pozmin=i;
else if (a[i].x==pxmin && a[i].y<pymin)
pxmin=a[i].x,pymin=a[i].y,pozmin=i;
}
a[0].x=pxmin;
a[0].y=pymin;
a[pozmin].x=a[n].x;
a[pozmin].y=a[n].y;
--n;
for (int i=1;i<=n;++i)
a[i].pante=calcularepanta(i);
sort(a+1,a+n+1,cmp);
}
double determinant(int x1,int y1,int z1)
{
double s1=0;
s1+=(a[x1].x*a[y1].y);s1+=(a[y1].x*a[z1].y);s1+=(a[x1].y*a[z1].x);
s1-=(a[y1].y*a[z1].x);s1-=(a[x1].x*a[z1].y);s1-=(a[y1].x*a[x1].y);
return s1;
}
void rezolvare()
{
stiva[0]=0;
stiva[1]=1;
nr=1;
for (int i=2;i<=n;i++)
{
while (nr>0 && determinant(stiva[nr-1],stiva[nr],i)<0)
nr--;
stiva[++nr]=i;
}
freopen("infasuratoare.out","w",stdout);
printf("%d\n",nr+1);
for (int i=0;i<=nr;i++)
printf("%.6lf %.6lf\n",a[stiva[i]].x,a[stiva[i]].y);
}
int main()
{
citire();
rezolvare();
return 0;
}