#include using namespace std; using ll = long long; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define all(c) begin(c), end(c) #define dump(x) cerr << __LINE__ << ":\t" #x " = " << x << endl typedef long long Integer; Integer gcd(Integer a, Integer b) { return a > 0 ? gcd(b % a, a) : b; } struct rational { Integer p, q; void normalize() { // keep q positive if (q < 0) p *= -1, q *= -1; Integer d = gcd(p < 0 ? -p : p, q); if (d == 0) p = 0, q = 1; else p /= d, q /= d; } rational(Integer p, Integer q = 1) : p(p), q(q) { normalize(); } rational &operator += (const rational &a) { p = a.q * p + a.p * q; q = a.q * q; normalize(); return *this; } rational &operator -= (const rational &a) { p = a.q * p - a.p * q; q = a.q * q; normalize(); return *this; } rational &operator *= (const rational &a) { p *= a.p; q *= a.q; normalize(); return *this; } rational &operator /= (const rational &a) { p *= a.q; q *= a.p; normalize(); return *this; } rational &operator - () { p *= -1; return *this; } }; rational operator + (const rational &a, const rational &b) { return rational(a) += b; } rational operator * (const rational &a, const rational &b) { return rational(a) *= b; } rational operator - (const rational &a, const rational &b) { return rational(a) -= b; } rational operator / (const rational &a, const rational &b) { return rational(a) /= b; } bool operator < (const rational &a, const rational &b) { // avoid overflow return (long double) a.p * b.q < (long double) a.q * b.p; } bool operator <= (const rational &a, const rational &b) { return !(b < a); } bool operator > (const rational &a, const rational &b) { return b < a; } bool operator >= (const rational &a, const rational &b) { return !(a < b); } bool operator == (const rational &a, const rational &b) { return !(a < b) && !(b < a); } bool operator != (const rational &a, const rational &b) { return (a < b) || (b < a); } int n; vector ls[3]; int main(){ while(cin >> n){ for(int i = 0; i < 3; ++i) ls[i].clear(); rep(i, n){ int p; int a, b; cin >> p >> a >> b; ls[p].emplace_back(a, a + b); } for(int i = 0; i < 3; ++i) sort(all(ls[i])); // 1本 ll ans = n + 1; for(auto &x : ls[1]){ x = 1 - x; ans += ls[0].end() - upper_bound(all(ls[0]), x); } for(auto &y : ls[2]){ y = 1 - y; ans += ls[0].end() - upper_bound(all(ls[0]), y); } for(auto x : ls[1]){ for(auto y : ls[2]){ if(x + y < 1){ // 2本 (1,2) ++ans; } if(x + y <= 1){ // 3本 (0,1,2) int a = lower_bound(all(ls[0]), x + y) - lower_bound(all(ls[0]), max(x, y)); int b = ls[0].end() - upper_bound(all(ls[0]), x + y); ans += a + b; } } } cout << ans << endl; } }