#include 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 pi; struct line{ int p,a,b; }; inline int intersect_inside(line m, line n) { if((ll)m.a*(n.a+n.b) > (ll)n.b*(m.a+m.b)) return 1; return 0; } int main() { int n; scanf(" %d", &n); vector l(n); rep(i,n) { scanf(" %d %d %d", &l[i].p, &l[i].a, &l[i].b); int G=__gcd(l[i].a,l[i].b); l[i].a/=G; l[i].b/=G; } int two=0,three=0; rep(i,n)rep(j,i)if(l[i].p!=l[j].p) two+=intersect_inside(l[i],l[j]); set s[3]; rep(i,n) s[l[i].p].insert(pi(l[i].a,l[i].b)); for(const auto &X:s[0]) { if(X.fi>=X.se && s[1].count(X) && s[2].count(X)) ++three; if(X.fi!=X.se) { pi revX(X.se,X.fi); if(s[1].count(revX) && s[2].count(revX)) ++three; if(s[1].count(X) && s[2].count(revX)) ++three; if(s[1].count(revX) && s[2].count(X)) ++three; } } printf("%d\n", 1+n+two+three); return 0; }