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Cod sursa(job #363692)
#include <fstream>
#include<cmath>
#define nMax 120001
#define min 1000000001
using namespace std;
ifstream f("infasuratoare.in");
ofstream g("infasuratoare.out");
double x[nMax],y[nMax];
//double V[nMax];
int n,PI,IND[nMax],ST[nMax];
bool cmpf(int i,int j)
{
return (double)(x[i] - x[PI]) * (y[j] - y[PI]) < (double)(x[j] - x[PI]) * (y[i] - y[PI]); //arctg(x) este strict crescatoare deci putem sorta direct dupa x
}
long double semn(int i1,int i2,int i3)
{
return (long double)x[i1] * y[i2] + x[i2] * y[i3] + x[i3] * y[i1] - y[i1] * x[i2] - y[i2] * x[i3] - y[i3] * x[i1]; //am desfacut parantezele
}
int punct_ini ()
{
x[0]=y[0]=min;
int punct_initial=0;
for(int i = 1;i <= n; ++i)
{
f>>x[i]>>y[i];
if (x[i] < x[punct_initial] || (x[i] == x[punct_initial] && y[i] < y[punct_initial])) punct_initial = i;
}
return punct_initial;
}
int main()
{
f>>n;
PI = punct_ini ();
for(int i = 1;i <= n; ++i)
{
if (i == PI) continue;
IND[++IND[0]] = i;
}
sort(IND + 1,IND + IND[0] + 1,cmpf);
ST[ST[0] = 1] = PI;
for(int i = 1;i <= IND[0]; ++i)
{
if (IND[i] == PI) continue;
while(ST[0] >= 2 && semn(ST[ST[0] - 1],ST[ST[0]],IND[i]) > 0) --ST[0];
ST[++ST[0]] = IND[i];
}
ST[++ST[0]] = PI;
g<<ST[0] - 1<<'\n';
reverse(ST + 1, ST + ST[0] + 1);
for(int i = 1;i < ST[0]; ++i)
g<<x[ST[i]]<<" "<<y[ST[i]]<<'\n';
f.close (); g.close (); return 0;
}