Pagini recente » Cod sursa (job #2757832) | Cod sursa (job #2987286) | Cod sursa (job #2674316) | Cod sursa (job #1099553) | Cod sursa (job #1420611)
//Convex Hull - O(NlogN)
#include <fstream>
#include <cmath>
#include <cstdio>
#include <algorithm>
#define Precizie 1000000000000LL
#define eps 0.0000000000001
#define Nmax 120009
using namespace std;
ifstream f("infasuratoare.in");
ofstream g("infasuratoare.out");
int N,k;
struct point {double x,y;}P[Nmax],st[Nmax];
bool Equal(const double& x, const double& y) {
return fabs(x-y) < eps;
}
bool LessThan(const double& x, const double& y){
return 1LL * Precizie * x < 1LL * Precizie * y;
}
double CrossProduct(point A, point B, point C){
return (B.x-A.x)*(C.y-A.y)-(B.y-A.y)*(C.x-A.x);
};
struct cmpTrigonometric
{
bool operator()(point A, point B)
{
return LessThan(0,CrossProduct(P[1],A,B));
};
};
inline void ConvexHull()
{
sort( P+2, P+1+N , cmpTrigonometric() ); // sortez in raport cu primul punct
k = 2;
st[1] = P[1];
st[2] = P[2];
for(int i = 3; i <= N; ++i) {
while(k>=2 && LessThan(CrossProduct(st[k-1],st[k],P[i]),0))--k;
st[++k]=P[i];
}
}
int main()
{
int j=1; // j va fi unde gasesc punctul cu ymin (xmin)
f>>N;
f>>P[1].x>>P[1].y;
for(int i=2;i<=N;++i)
{
f>>P[i].x>>P[i].y;
if(LessThan(P[i].y,P[j].y))j=i;
else if(Equal(P[i].y,P[j].y) && LessThan(P[i].x,P[j].x))j=i;
}
swap(P[1],P[j]);
ConvexHull();
//solutia a fost generata in ordine trigonometrica
g<<k<<'\n';
g.precision(6);
for(int i=1;i<=k;++i)
g<<fixed<<st[i].x<<' '<<st[i].y<<'\n';
f.close();g.close();
return 0;
}