#include <bits/stdc++.h>
using namespace std;
struct dd
{
    int x,y,z;
};
const double eps=1.e-14;
/// cadranele 2 cu 3;
dd cadr[200005];
/// cadranele 1 cu 4;
dd cadr1[200005];
struct adj
{
    double panta,panta1;
};
adj v[200005];
bool cmp(adj a,adj b)
{
    if(fabs(a.panta1-b.panta1)<=eps)
    {if(a.panta-b.panta<=-1*eps)
        return 1;
    return 0;
    }
    if(a.panta1-b.panta1<=eps)
        return 1;
    return 0;
}
int main()
{
    freopen("rays.in","r",stdin);
    freopen("rays.out","w",stdout);
    int n, i ,cnt1=0,cnt2=0;
    scanf("%d",&n);
    for(i=1;i<=n;i++)
    {
        dd a;
        scanf("%d%d%d",&a.x,&a.y,&a.z);
        if(a.z<0)
            cadr[++cnt1]=a;
        else
            cadr1[++cnt2]=a;
    }
    for(i=1;i<=cnt1;i++)
    {
        v[i].panta=atan2(-1*cadr[i].x,cadr[i].z);
     v[i].panta1=atan2(-1*cadr[i].y,cadr[i].z);
    }
    sort(v+1,v+cnt1+1,cmp);
    int cnt=1;
    adj a=v[1];
    for(i=2;i<cnt1;i++)
    {
        if(v[i].panta-a.panta1>=-1*eps)
        {
            cnt++;
            a=v[i];
            continue;
        }
        if(a.panta-v[i].panta<=-1*eps)a.panta=v[i].panta;
    }
    /// (x,y)=> (-y,x)
    for(i=1;i<=cnt2;i++)
    {
        v[i].panta=atan2(cadr1[i].x,-1*cadr1[i].z);
     v[i].panta1=atan2(cadr1[i].y,-1*cadr1[i].z);
    }
    sort(v+1,v+cnt2+1,cmp);
    int cnt3=1;
    a=v[1];
    for(i=2;i<cnt2;i++)
    {
        if(v[i].panta-a.panta1>=-1*eps)
        {
            cnt3++;
            a=v[i];
            continue;
        }
        if(a.panta-v[i].panta<=-1*eps)a.panta=v[i].panta;
    }
    printf("%d\n",cnt+cnt3);
    return 0;
}