#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
#define rep(i,n) for(int (i)=0;(i)<(int)(n);++(i))
#define each(itr,c) for(__typeof(c.begin()) itr=c.begin(); itr!=c.end(); ++itr)
#define all(x) (x).begin(),(x).end()
#define pb push_back
#define fi first
#define se second

typedef pair<int,int> pi;
struct line
{
    int a,b;

    bool operator<(const line& t) const {
        return (ll)a*(t.a+t.b) < (ll)t.a*(a+b);
    }
};

inline int intersect_inside(line m, line n)
{
    if((ll)m.a*(n.a+n.b) + (ll)n.a*(m.a+m.b) > (ll)(m.a+m.b)*(n.a+n.b)) return 1;
    return 0;
}

inline int intersect_onedge(line m, line n)
{
    if((ll)m.a*(n.a+n.b) + (ll)n.a*(m.a+m.b) == (ll)(m.a+m.b)*(n.a+n.b)) return 1;
    return 0;
}

int main()
{
    int n;
    scanf(" %d", &n);

    vector<line> l[3];
    rep(i,n)
    {
        int p,a,b;
        scanf(" %d %d %d", &p, &a, &b);

        int G=__gcd(a,b);
        a/=G;
        b/=G;

        l[p].pb(line{a,b});
    }

    rep(i,3) sort(all(l[i]));

    int two=0,three=0;

    rep(i,3)
    {
        int R=i, P=(i+1)%3, Q=(i+2)%3;
        rep(j,l[P].size())rep(k,l[Q].size())
        {
            line pp=l[P][j], qq=l[Q][k];

            two+=intersect_inside(pp,qq);

            if(intersect_inside(pp,qq) || intersect_onedge(pp,qq))
            {
                line base = max(line{pp.b,pp.a}, line{qq.b,qq.a});
                // printf("base (%d, %d)\n", base.a, base.b);

                int idx = lower_bound(all(l[R]),base) - l[R].begin();
                three += (int)l[R].size()-idx;

                // printf("idx = %d : (%d, %d)\n", idx,l[R][idx].a, l[R][idx].b);

                ll D=(ll)pp.a*(qq.a+qq.b) + (ll)qq.a*(pp.a+pp.b);
                ll C=(ll)(pp.a+pp.b)*(qq.a+qq.b);

                ll A=2*C-D, B=D-C;

                ll G=__gcd(A,B);
                A/=G;
                B/=G;
                if(A>0 && B>0 && A+B<=400000)
                {
                    line lb = *lower_bound(all(l[R]),line{(int)A,(int)B});
                    if(lb.a==A && lb.b==B) --three;
                }
            }
        }
    }

    assert(three%3==0);

    printf("%d\n", 1+n+two+three/3);
    return 0;
}