#include "bits/stdc++.h" using namespace std; #define FOR(i,j,k) for(int (i)=(j);(i)<(int)(k);++(i)) #define rep(i,j) FOR(i,0,j) #define each(x,y) for(auto &(x):(y)) #define mp make_pair #define mt make_tuple #define all(x) (x).begin(),(x).end() #define debug(x) cout<<#x<<": "<<(x)< pii; typedef vector vi; typedef vector vll; long long gcd(long long a, long long b){ return b?gcd(b, a%b):a; } long long lcm(long long a, long long b){ return a*b/gcd(a,b); } bool les(pair a, pair b) { // a.f/a.s < b.f/b.s // a.f*b.s < b.f * a.s return a.first*b.second < b.first*a.second; } int main(){ ios::sync_with_stdio(false); cin.tie(0); int N; cin >> N; ll ans = 1; vll cnt(3, 0); vll P(N), A(N), B(N); vector>> p2ab(3); rep(i, N) { cin >> P[i] >> A[i] >> B[i]; ll g = gcd(A[i], B[i]); A[i] /= g; B[i] /= g; ll ad = 1; rep(j, 3)if(j != P[i]) { auto it = lower_bound(all(p2ab[j]), mp(B[i], A[i]), les); ad *= distance(it, p2ab[j].end()) + 1; } ans += ad; cnt[P[i]]++; p2ab[P[i]].push_back(mp(A[i], B[i])); sort(all(p2ab[P[i]])); } rep(i, 3) { ll a1, a2, b1, b2; each(p, p2ab[i]) { tie(a1, b1) = p; each(q, p2ab[(i + 1) % 3]) { tie(a2, b2) = q; if(a1 == b2&&a2 == b1)--ans; } } } set> p3; each(p, p2ab[2]) { p3.insert(p); } ll a1, a2, b1, b2, a3, b3, sm1, sm2; each(p, p2ab[0]) { tie(a1, b1) = p; sm1 = a1 + b1; each(q, p2ab[1]) { tie(a2, b2) = q; sm2 = a2 + b2; ll L = lcm(sm1, sm2); a1 *= L / sm1; b1 *= L / sm1; a2 *= L / sm2; b2 *= L / sm2; a3 = b1 + b2; b3 = a1 + a2 - L; if(b3 > 0) { ll g = gcd(a3, b3); a3 /= g; b3 /= g; if(p3.count(mp(a3, b3)))--ans; } } } cout << ans << endl; }