Pagini recente » Cod sursa (job #3210161) | Cod sursa (job #254014) | Cod sursa (job #1309825) | Cod sursa (job #1353656) | Cod sursa (job #1805316)
#include <fstream>
#include <iostream>
#include <cstdlib>
#include <ctime>
#include <vector>
using namespace std;
ifstream f("infasuratoare.in");
ofstream g("infasuratoare.out");
#define x first
#define y second
#define mp make_pair
#define pdd pair<double,double>
#define LE 160666
#include <iomanip>
#define inf 1<<26
#include <algorithm>
namespace geometry{
double determinant(const std::vector<std::vector<double> > &a){
double result=0;
result+=a[0][0]*a[1][1]*a[2][2];
result+=a[1][0]*a[2][1]*a[0][2];
result+=a[2][0]*a[0][1]*a[1][2];
result-=a[0][2]*a[1][1]*a[2][0];
result-=a[1][2]*a[2][1]*a[0][0];
result-=a[2][2]*a[0][1]*a[1][0];
return result;
}
class Triangle{
public:
Triangle(double p1x,double p1y,
double p2x,double p2y,
double p3x,double p3y){
p1.first=p1x;
p2.first=p2x;
p3.first=p3x;
p1.second=p1y;
p2.second=p2y;
p3.second=p3y;
}
std::pair<double,double> p1,p2,p3;
};
double get_signed_area(Triangle T) {
std::vector<std::vector<double> > a(3,std::vector<double>(3,0));
a[0][0]=a[1][0]=a[2][0]=1;
a[0][1]=T.p1.first,a[0][2]=T.p1.second;
a[1][1]=T.p2.first,a[1][2]=T.p2.second;
a[2][1]=T.p3.first,a[2][2]=T.p3.second;
return determinant(a);
}
}
pdd X[LE],cover[LE];
int i,n,posx,K;
double ymin=inf;
double cross(pdd i1,pdd i2,pdd i3)
{
i2.x-=i1.x,i2.y-=i1.y;
i3.x-=i1.x,i3.y-=i1.y;
i3.x-=i2.x,i3.y-=i2.y;
return ((i2.x*i3.y)-(i3.x*i2.y));
geometry::Triangle T(i1.x,i1.y,i2.x,i2.y,i3.x,i3.y);
return geometry::get_signed_area(T);
}
bool comp(pdd i1,pdd i2)
{
if (cross (X[n+1],i1,i2)<0)return true;
return false;
}
int main()
{
f>>n;
for(i=1; i<=n; ++i) {
f>>X[i].x>>X[i].y;
if (X[i].y<ymin) {
ymin=X[i].y;
posx=i;
}
}
swap(X[posx],X[n]);
--n;
cover[++K]=X[n+1];
sort(X+1,X+n+1,comp);
cover[++K]=X[1];
for(i=2;i<=n;++i)
{
while (K>1&&cross(cover[K-1],cover[K],X[i])>0)
--K;
cover[++K]=X[i];
}
g<<fixed;
g<<setprecision(6);
g<<K<<'\n';
for(i=K;i>=1;--i)
g<<cover[i].x<<" "<<cover[i].y<<'\n';
f.close();
g.close();
return 0;
}