#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
using mint = modint1000000007;
const int mod = 1000000007;
//using mint = modint998244353;
//const int mod = 998244353;
//const int INF = 1e9;
//const long long LINF = 1e18;
#define rep(i, n) for (int i = 0; i < (n); ++i)
#define rep2(i,l,r)for(int i=(l);i<(r);++i)
#define rrep(i, n) for (int i = (n-1); i >= 0; --i)
#define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i)
#define all(x) (x).begin(),(x).end()
#define allR(x) (x).rbegin(),(x).rend()
#define endl "\n"
#define P pair<long long,long long>
template<typename A, typename B> inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; }
template<typename A, typename B> inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; }
bool comp(const P& lh, const P& rh) {
	return lh.second * rh.first < rh.second * lh.first;
}
long long gcd(long long a, long long b) {
	if (b == 0) return a;
	else return gcd(b, a%b);
}
int main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	vector<P>v;
	int n; cin >> n;
	rep(i, n) {
		long long a, b; cin >> a >> b;
		if ((0 == a) && (0 == b))continue;
		v.emplace_back(a, b);
	}
	n = v.size();
	if (0 == n) {
		cout << 1 << endl;
		return 0;
	}
	sort(all(v), comp);
	rep(i, n) v.emplace_back(-v[i].first, -v[i].second);
	vector<P>point;
	point.emplace_back(0, 0);
	rep(i, v.size() - 1) {
		point.emplace_back(point.back().first + v[i].first, point.back().second + v[i].second);
	}
	/*rep(i, point.size()) {
		cout << point[i].first << "_" << point[i].second << endl;
	}*/
	mint s2 = 0;
	rep(i, point.size()) {
		int j = (i + 1) % point.size();
		s2 += point[j].second * point[i].first - point[j].first * point[i].second;
	}
	// s2 = 辺上 + 内部 * 2 - 2
	mint on = 0, in = 0;
	rep(i, v.size()) {
		on += abs(gcd(v[i].first, v[i].second));
	}
	//cout << s2.val() << endl;
	//cout << on.val() << endl;
	in = (s2 + 2 - on) / 2;
	mint ans = in + on;
	cout << ans.val() << endl;
	return 0;
}