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Cod sursa(job #696108)
#include <iostream>
#include <fstream>
#include <algorithm>
#define oo 0x3f3f3f
#define Lg 120010
using namespace std;
ifstream f("infasuratoare.in");
ofstream g("infasuratoare.out");
long n,start,la,lst = 1;
double x[Lg], y[Lg];
int st[Lg], a[Lg];
bool comp(int i,int j)
{
long double A = (x[i]-x[start])*(y[j]-y[start]);
long double B = (x[j]-x[start])*(y[i]-y[start]);
return (A<B);
}
long double fd(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]);
}
void citire()
{
f>>n;
x[0]=y[0]=oo;
for(int i=1;i<=n;i++)
{
f>> x[i] >> y[i];
if(x[i] < x[start])
start=i;
else
if(x[i] == x[start])
if(y[i] < y[start])
start=i;
}
}
void ordoneaza()
{
la=0;
for(int i=1;i<=n;i++)
{
if (i != start)
a[++la] = i;
}
sort(a+1,a+la+1,comp);
}
void solve()
{
st[lst]=start;
for(int i=1;i<=la;i++)
{
if(a[i]!=start)
{
while(lst>1 && fd(st[lst-1],st[lst],a[i]) > 0)
--lst;
st[++lst] = a[i];
}
}
st[++lst]=start;
reverse(st+1,st+lst+1);
g << lst-1 << "\n";
for(int i=1;i<lst;i++)
g << x[st[i]] << " " << y[st[i]] << "\n";
}
int main()
{
citire();
ordoneaza();
solve();
return 0;
}