#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; namespace { using Integer = long long; //__int128; template istream& operator >> (istream& is, pair& p){return is >> p.first >> p.second;} template istream& operator >> (istream& is, vector& vec){for(T& val: vec) is >> val; return is;} template istream& operator , (istream& is, T& val){ return is >> val;} template ostream& operator << (ostream& os, const pair& p){return os << p.first << " " << p.second;} template ostream& operator << (ostream& os, const vector& vec){for(size_t i=0; i ostream& operator , (ostream& os, const T& val){ return os << " " << val;} template void print(const H& head){ cout << head; } template void print(const H& head, const T& ... tail){ cout << head << " "; print(tail...); } template void println(const T& ... values){ print(values...); cout << endl; } template void eprint(const H& head){ cerr << head; } template void eprint(const H& head, const T& ... tail){ cerr << head << " "; eprint(tail...); } template void eprintln(const T& ... values){ eprint(values...); cerr << endl; } class range{ Integer start_, end_, step_; public: struct range_iterator{ Integer val, step_; range_iterator(Integer v, Integer step) : val(v), step_(step) {} Integer operator * (){return val;} void operator ++ (){val += step_;} bool operator != (range_iterator& x){return step_ > 0 ? val < x.val : val > x.val;} }; range(Integer len) : start_(0), end_(len), step_(1) {} range(Integer start, Integer end) : start_(start), end_(end), step_(1) {} range(Integer start, Integer end, Integer step) : start_(start), end_(end), step_(step) {} range_iterator begin(){ return range_iterator(start_, step_); } range_iterator end(){ return range_iterator( end_, step_); } }; inline string operator "" _s (const char* str, size_t size){ return move(string(str)); } constexpr Integer my_pow(Integer x, Integer k, Integer z=1){return k==0 ? z : k==1 ? z*x : (k&1) ? my_pow(x*x,k>>1,z*x) : my_pow(x*x,k>>1,z);} constexpr Integer my_pow_mod(Integer x, Integer k, Integer M, Integer z=1){return k==0 ? z%M : k==1 ? z*x%M : (k&1) ? my_pow_mod(x*x%M,k>>1,M,z*x%M) : my_pow_mod(x*x%M,k>>1,M,z);} constexpr unsigned long long operator "" _ten (unsigned long long value){ return my_pow(10,value); } inline int k_bit(Integer x, int k){return (x>>k)&1;} //0-indexed mt19937 mt(chrono::duration_cast(chrono::steady_clock::now().time_since_epoch()).count()); template string join(const vector& v, const string& sep){ stringstream ss; for(size_t i=0; i0) ss << sep; ss << v[i]; } return ss.str(); } inline string operator * (string s, int k){ string ret; while(k){ if(k&1) ret += s; s += s; k >>= 1; } return ret; } } constexpr long long mod = 9_ten + 7; long long gcd(long long a, long long b){ return (b==0)?a:gcd(b,a%b); } template long long gcd(long long a, long long b, T ... c){ return gcd(gcd(a,b), c...);} long long lcm(long long a, long long b){ if(a long long lcm(long long a, long long b, T ... c){ return lcm(lcm(a,b), c...);} long long extgcd(long long a, long long b, long long &x, long long &y){ long long d=a; if(b!=0){ d = extgcd(b, a%b, y, x); y -= (a/b) * x; }else{ x = 1; y = 0; } return d; } // a/b struct frac{ long long a; long long b; frac() : a(1),b(1){} frac(long long a_, long long b_){ long long g = gcd(a_,b_); a = a_/g; b = b_/g; } bool operator < (const frac& x) const{ //long long l = lcm(b,x.b); //return a * (l/b) < x.a * (l/x.b); return a*x.b < x.a*b; } bool operator == (const frac& x) const{ return a == x.a && b == x.b; } }; int main(){ int n; cin >> n; vector> l(3); l[0].push_back( frac(1,1) ); l[1].push_back( frac(1,1) ); l[2].push_back( frac(1,1) ); for(auto i : range(n) ){ int p,x,y; cin >> p,x,y; l[p].push_back( frac(x,y+x) ); } sort(l[0].begin(), l[0].end()); sort(l[1].begin(), l[1].end()); sort(l[2].begin(), l[2].end()); sort(l.begin(), l.end(), [](const vector& a, const vector& b){return a.size() < b.size();}); frac one(1,1); long long ans = 0; for(int t=0; t<1; t++){ for(auto x : l[ (0+t)%3 ]){ frac a(x.b-x.a, x.b); for(auto y : l[ (1+t)%3 ]){ frac b(y.b-y.a, y.b); frac c(a.a*b.b + b.a*a.b, a.b * b.b); if( b