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Cod sursa(job #571886)
#include<fstream>
#define nmax 120010
#define inf INT_MAX
#include<iomanip>
using namespace std;
struct punct {double x,y,p;};
punct p[nmax],alfa;
int sol[nmax],n;
void citire()
{
int i;
ifstream in("infasuratoare.in");
in>>n;
for (i=1;i<=n;i++)
in>>p[i].x>>p[i].y;
}
void cauta_extrema()
{
int i,poz;
punct aux;
alfa.x=alfa.y=poz;
for (i=1;i<=n;i++)
{
if (p[i].x<alfa.x)
{
alfa=p[i];
poz=i;
}
else if (p[i].x==alfa.x&&p[i].y<alfa.y)
{
alfa=p[i];
poz=i;
}
}
aux=p[poz];
p[poz]=p[1];
p[1]=aux;
}
long long sens(punct a,punct b,punct c)
{
long long x;
//x=a.x*b.y+c.x*a.y+b.x*c.y-c.x*b.y-a.x*c.y-b.xa.y;
x=a.x*(b.y-c.y)+b.x*(c.y-a.y)+c.x*(a.y-b.y);
if (x>0)
return 1;
return 0;
}
void panta(punct &a)
{ a.p=(-alfa.y+a.y)/(-alfa.x+a.x); }
int cmp(punct a,punct b)
{
if (a.p==b.p)
return a.x<b.x;
return a.p<b.p;
}
int main()
{
int i,k=0,zz;
citire();
cauta_extrema();
for (i=1;i<=n;i++)
panta(p[i]);
sort(p+2,p+n+1,cmp);
ofstream out("infasuratoare.out");
//out<<alfa.x<<" "<<alfa.y<<'\n';
//for (i=1;i<=n;i++)
// out<<p[i].x<<" "<<p[i].y<<" "<<p[i].p<<'\n';
sol[++k]=1;
sol[++k]=2;
//n++;
p[n+1]=p[1];
for (i=3;i<=n;i++)
{
while (!sens(p[sol[k-1]],p[sol[k]],p[i])&&k>2)
k--;
sol[++k]=i;
}
out<<k<<'\n';
i=k;
for (k=1;k<=i;k++)
out<<setprecision(20)<<p[sol[k]].x<<" "<<setprecision(20)<<p[sol[k]].y<<'\n';
}