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Cod sursa(job #950644)
#include <fstream>
#include <algorithm>
using namespace std;
ifstream f("rays.in"); ofstream g("rays.out");
const int Nmax=200002;
struct segment {long long x,y1,y2;};
int n,nv,nu,nr,i,j;
long long X,Y;
segment v[Nmax],u[Nmax];
int main()
{ f>>n;
while(n--)
{ segment seg;
f>>seg.x>>seg.y1>>seg.y2;
if(seg.y1>seg.y2) swap(seg.y1,seg.y2);
if(seg.x>0) v[++nv]=seg; else {seg.x=-seg.x; u[++nu]=seg;}
}
if(nv)
{for(i=1;i<nv;i++)
for(j=i+1;j<=nv;j++)
if(v[i].y2*v[j].x>v[j].y2*v[i].x) swap(v[i],v[j]);
nr++; X=v[1].x,Y=v[1].y2;
for(i=2;i<=nv;++i)
if(X*v[i].y1>Y*v[i].x) {nr++; X=v[i].x; Y=v[i].y2;}
}
if(nu)
{for(i=1;i<nu;i++)
for(j=i+1;j<=nu;j++)
if(u[i].y2*u[j].x>u[j].y2*u[i].x) swap(u[i],u[j]);
nr++; X=u[1].x,Y=u[1].y2;
for(i=2;i<=nu;++i)
if(X*u[i].y1>Y*u[i].x) {nr++; X=u[i].x; Y=u[i].y2;}
}
g<<nr<<'\n'; g.close(); return 0;
}
/*
#include <fstream>
#include <vector>
#include <algorithm>
using namespace std;
ifstream f("rays.in"); ofstream g("rays.out");
struct segment {int x,y1,y2;};
int n,nr,X,Y;
vector <segment> v,u;
inline int cmp(const segment &a, const segment &b)
{ if(1LL*a.x*b.y2>1LL*b.x*a.y2) return 1; else return 0;}
int main()
{ f>>n;
while(n--)
{ segment seg;
f>>seg.x>>seg.y1>>seg.y2;
if(seg.y1>seg.y2) swap(seg.y1,seg.y2);
if(seg.x>0) v.push_back(seg); else {seg.x=-seg.x; u.push_back(seg);}
}
sort(v.begin(),v.end(),cmp);
if(v.size()!=0)
{ ++nr; X=v[0].x,Y=v[0].y2;
for(unsigned i=1; i<v.size(); ++i)
if(1LL*X*v[i].y1>1LL*Y*v[i].x) {nr++; X=v[i].x; Y=v[i].y2;}
}
sort(u.begin(),u.end(),cmp);
if(u.size()!=0)
{ ++nr; X=u[0].x,Y=u[0].y2;
for(unsigned i=1; i<u.size(); ++i)
if(1LL*X*u[i].y1>1LL*Y*u[i].x) {nr++; X=u[i].x; Y=u[i].y2;}
}
g<<nr<<'\n'; g.close(); return 0;
}
*/