#include #define show(x) std::cerr << #x << " = " << x << std::endl using ll = long long; template constexpr T gcd(const T a, const T b) { return (b != 0) ? gcd(b, a % b) : a; } template constexpr T lcm(const T a, const T b) { return (a / gcd(a, b)) * b; } class Rational { public: using T = ll; Rational() = default; Rational(const T N) : N{N} {} Rational(const T N_, const T D_) : N{N_}, D{D_} { N /= gcd(N_, D_), D /= gcd(N_, D_); } Rational operator+(const Rational& r) const { return Rational{lcm(D, r.D) / D * N + lcm(D, r.D) / r.D * r.N, lcm(D, r.D)}; } Rational operator-(const Rational& r) const { return Rational{lcm(D, r.D) / D * N - lcm(D, r.D) / r.D * r.N, lcm(D, r.D)}; } bool operator==(const Rational& r) const { return N * r.D == D * r.N; } bool operator<(const Rational& r) const { return N * r.D < D * r.N; } bool operator>(const Rational& r) const { return N * r.D > D * r.N; } private: T N = 0, D = 1; }; int main() { int N; std::cin >> N; std::vector A{1}, B{1}, C{1}; for (int i = 0; i < N; i++) { int p, a, b; std::cin >> p >> a >> b; (p == 0 ? A : p == 1 ? B : C).push_back(Rational{a, a + b}); } if (A.size() < B.size()) { std::swap(A, B); } if (A.size() < C.size()) { std::swap(A, C); } std::sort(A.begin(), A.end()), std::sort(B.begin(), B.end(), std::greater{}), std::sort(C.begin(), C.end(), std::greater{}); int ans = 0; for (const auto& b : B) { for (const auto& c : C) { if (b + c < Rational(1)) { break; } ans += A.end() - std::lower_bound(A.begin(), A.end(), Rational(1) - std::min(b, c)); ans -= std::upper_bound(A.begin(), A.end(), Rational(2) - b - c) - std::lower_bound(A.begin(), A.end(), Rational(2) - b - c); } } std::cout << ans << std::endl; return 0; }