Language: C++

// clang-format off
	#define BADSEED random_device{}()
	#include <map>
	#include <iostream>
	#include <iomanip>
	#include <array>
	using namespace std;
	using ll = long long;
	using uint = unsigned int;
	ostream &operator<<(ostream &os, int8_t c) { return os << short(c); }
	istream &operator>>(istream &is, int8_t &c) { short x; is >> x; c = x; return is; }
	#define TM_(...) template <class __VA_ARGS__>
	namespace narut {
	TM_(T) using TupSz = tuple_size<decay_t<T>>;
	TM_(T) constexpr auto spc(T const &t, int) -> decltype((cout << t), 'a') { return ' '; }
	constexpr auto spc(string const &s, int) { return '\n'; }
	TM_(T) constexpr auto spc(T const &t, char) { return '\n'; }
	struct IO {
		TM_(T) static auto out_(ostream &os, T const &t, int) -> decltype(void(os << t)) { os << t; }
		TM_(T, class OS) static auto out_(OS &os, T const &t, int) -> decltype(void(begin(t))) {
			auto it = begin(t), e = end(t);
			if (it != e) out_(os, *it++, 0);
			for (; it != e; out_(os, *it++, 0)) os << spc(*it, 0);
		}
		TM_(T, size_t... Is) static void out_tup(ostream &os, T const &t, index_sequence<Is...>) { (void)initializer_list<int>{0, ((Is == 0) ? 0 : ((os << ' '), 0), (os << get<Is>(t)), 0)...}; }
		TM_(T) static decltype(void(TupSz<T>{})) out_(ostream &os, T const &t, char) { out_tup(os, t, make_index_sequence<TupSz<T>::value>{}); }
		TM_(Sep, class F, class... Ts) static ostream &print(ostream &os, Sep sep, F const &f, Ts const &... ts) { return void(initializer_list<int>{(out_(os, f, 0), 0), (out_(os << sep, ts, 0), 0)...}), os; }
		TM_(T) static auto in_(istream &is, T &t, int) -> decltype(void(is >> t)) { is >> t; }
		TM_(T, class IS) static auto in_(IS &is, T &t, int) -> decltype(void(begin(t))) { for (auto &x : t) in_(is, x, 0); }
		TM_(T, size_t... Is) static void in_tup(istream &is, T &t, index_sequence<Is...>) { (void)initializer_list<int>{0, (in_(is, get<Is>(t), 0), 0)...}; }
		TM_(T) static decltype(void(TupSz<T>{})) in_(istream &is, T &t, char) { in_tup(is, t, make_index_sequence<TupSz<T>::value>{}); }
	};
	} // namespace narut
	#define Cout(...) narut::IO::print(cout, ' ', __VA_ARGS__) << '\n'
	#ifdef NARUT_LOCAL
	#define Debug(...) narut::IO::print(cerr << "\033[0;31m", ", ", __VA_ARGS__) << "\033[0m\n"
	#else
	#define Debug(...) 0
	#endif
	[[maybe_unused]] struct Cin {
		template <class T> Cin const &operator>>(T &t) const { return narut::IO::in_(cin, t, 0), *this; }
		template <class T> operator T() const { T t; return *this >> t, t;  }
	} Cin;
	TM_(T) auto operator%(T &t, size_t n) -> decltype(t.resize(n), t)& { return t.resize(n), t; }
	#define FOR(i, j, n) for (int i = int(j); i < int(n); ++i)
	#define ROF(i, j, n) for (int i = int(n) - 1; i >= int(j); --i)
 
// clang-format on
 
 
template <class T, class AddT, class MultT, T P> struct ModNum {
	using value_type = T;
	using add_type = AddT;
	using mult_type = MultT;
	static constexpr T mod_value = P;
 
	T val = 0;
	constexpr ModNum() = default;
	constexpr ModNum(T x) : val(x) {}
	template <class S> static constexpr ModNum Safe(S x) {
		return static_cast<T>(((x % P) + P) % P);
	}
	explicit constexpr operator value_type const &() const { return val; }
 
	constexpr bool operator==(ModNum rhs) const { return val == rhs.val; }
	constexpr bool operator!=(ModNum rhs) const { return val != rhs.val; }
	constexpr ModNum operator-() const { return (val == 0) ? (*this) : (P - val); }
 
	constexpr ModNum &operator+=(ModNum rhs) { return *this = Add(val, rhs.val); }
	constexpr ModNum &operator-=(ModNum rhs) { return *this = Sub(val, rhs.val); }
	constexpr ModNum &operator*=(ModNum rhs) { return *this = Mult(val, rhs.val); }
	constexpr ModNum &operator/=(ModNum rhs) { return *this *= rhs.Inverse(); }
 
	template <class S> constexpr ModNum Pow(S ex) const {
		if (P == 1) return 0;
		if (ex < 0) return Pow(-ex).Inverse();
		ModNum result = 1;
		ModNum base(*this);
		while (ex > 0) {
			if (ex & 1) result *= base;
			ex >>= 1;
			base *= base;
		}
		return result;
	}
	constexpr ModNum Inverse() const { return Pow(P - 2); }
	friend constexpr ModNum operator+(ModNum lhs, ModNum rhs) { return Add(lhs.val, rhs.val); }
	friend constexpr ModNum operator-(ModNum lhs, ModNum rhs) { return Sub(lhs.val, rhs.val); }
	friend constexpr ModNum operator*(ModNum lhs, ModNum rhs) { return Mult(lhs.val, rhs.val); }
	friend constexpr ModNum operator/(ModNum lhs, ModNum rhs) { return lhs * rhs.Inverse(); }
 
  private:
	static constexpr T Add(AddT lhs, AddT rhs) {
		auto sum = lhs + rhs;
		return (sum < P) ? sum : (sum - P);
	}
	static constexpr T Sub(AddT lhs, AddT rhs) {
		auto dif = lhs - rhs;
		return (dif >= 0) ? dif : (dif + P);
	}
	static constexpr T Mult(MultT lhs, MultT rhs) { return static_cast<T>((lhs * rhs) % P); }
	friend ostream &operator<<(ostream &os, ModNum m) { return os << m.val; }
	friend istream &operator>>(istream &is, ModNum &m) {
		is >> m.val;
		return is;
	}
};
using Num = ModNum<int, int, int64_t, 1000000007>;
 
template <class T> vector<T> Powers(T base, int n) {
	vector<T> p(n + 1, 1);
	for (int i = 1; i <= n; ++i) p[i] = p[i - 1] * base;
	return p;
}
 
auto Main() {
 
	int n;
	cin>>n;
 
 
	int zeroes=0;
	int hor = 0;
	int ver = 0;
 
 
	map<pair<int, int>, array<int,2> > M;
	FOR(ni,0,n) {
		ll a,b;
		cin>>a>>b;
		if(a==0 and b==0) {
			zeroes++;
			continue;
		}
		if (a==0) {
			hor++;
			continue;
		}
		if (b==0) {
			ver++;
			continue;
		}
		auto g = gcd(a,b);
		a/=g;
		b/=g;
 
		bool p_a = a < 0, p_b = b < 0;
		// int sign = p_a != p_b;
		// ++M[{abs(a),abs(b)}][sign];
		a = abs(a), b = abs(b);
		if (p_a == p_b) {
			++M[{a,b}][0];
		} else {
			++M[{b,a}][1];
		}
	}
 
	Num ans = 1;
	auto pows = Powers<Num>(2, n);
	for (const auto& [_, A] : M) {
		Debug(_,A, pows[A[0]], pows[A[1]]);
		ans *= pows[A[0]] + pows[A[1]] - 1;
	}
	ans *= pows[hor]+pows[ver]-1;
	cout << ans - 1 + zeroes;
}
 
int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(nullptr);
	cout << fixed << setprecision(10);
#ifdef NARUT_LOCAL
	assert(freopen("io/test.in", "r", stdin));
	cin.exceptions(cin.badbit | cin.failbit);
	cerr << fixed << setprecision(10);
#endif
 
	Main();
}

Compiler output:
a.cc:110:20: error: 'vector' does not name a type
  110 | template <class T> vector<T> Powers(T base, int n) {
      |                    ^~~~~~
a.cc: In function 'auto Main()':
a.cc:143:26: error: 'gcd' was not declared in this scope
  143 |                 auto g = gcd(a,b);
      |                          ^~~
a.cc:159:21: error: 'Powers' was not declared in this scope; did you mean 'pows'?
  159 |         auto pows = Powers<Num>(2, n);
      |                     ^~~~~~
      |                     pows
a.cc:159:31: error: expected primary-expression before '>' token
  159 |         auto pows = Powers<Num>(2, n);
      |                               ^