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#include<cstdio>
#include<cmath>
#include<vector>
#include<algorithm>
using namespace std;
const double PI=2.0*acos(0.0);
const double eps=4e-15;
double unghi(int x, int y)
{
double rad=1.0*atan2(1.0*y,1.0*x);
// if(rad<0) rad+=2 * PI;
return rad * 180 / PI;
}
struct mem
{
double unghi;
bool tip;
int ind;
};
vector<mem>v;
vector<int>ans;
int poz[200005];
bool cmp(mem a, mem b)
{
if(fabs(a.unghi-b.unghi)<eps) return a.tip>b.tip;
return a.unghi-b.unghi<-eps;
}
int main()
{
freopen("rays.in","r",stdin);
freopen("rays.out","w",stdout);
int n,x,y1,y2;
double u1,u2;
scanf("%d",&n);
mem temp1,temp2;
temp1.tip=1;
temp2.tip=0;
for(register int i=1;i<=n;i++)
{
scanf("%d%d%d",&x,&y1,&y2);
u1=unghi(x,y1);
u2=unghi(x,y2);
if(u2-u1<-eps) swap(u1,u2);
temp1.unghi=u1;
temp2.unghi=u2;
temp1.ind=temp2.ind=i;
v.push_back(temp1);
v.push_back(temp2);
}
sort(v.begin(),v.end(),cmp);
int gloante=0,cnt=0,cnta=0,act=0;
for(register int i=0;i<v.size();i++)
{
if(v[i].tip==1) cnt++;
else if(poz[v[i].ind]>act) cnt--;
poz[v[i].ind]=act+1;
if(cnt<cnta)
{
ans.push_back(cnta);
act++;
cnt=0;
}
cnta=cnt;
}
printf("%d",ans.size());
return 0;
}