#include using namespace std; using ll = long long; const ll mod = 1e9 + 7; ll power(ll x, int n) { ll res = 1; while (n) { if (n & 1) res *= x; x *= x; n >>= 1; } return res; } ll mod_inv(ll a, ll b) { ll u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } return u; } vector> factorize(ll n) { vector> res; for (ll i = 2; i * i <= n; i++) { if (n % i == 0) { res.emplace_back(i, 0); while (n % i == 0) { res.back().second++; n /= i; } } } if (n != 1) { if (!res.empty() && res.back().first == n) res.back().second++; else res.emplace_back(n, 1); } return res; } class CRT { bool ng; map> facts; public: CRT() : ng(false) {} void add(ll x, ll m) { if (ng) return; for (auto& p : factorize(m)) { if (!facts.count(p.first)) { facts[p.first] = make_pair(p.second, x % power(p.first, p.second)); continue; } auto q = facts[p.first]; if ((x - q.second) % power(p.first, min(p.second, q.first)) != 0) { ng = true; return; } if (p.second > q.first) { facts[p.first] = make_pair(p.second, x % power(p.first, p.second)); } } } int solve(int md) const { if (ng) return -1; bool zero = true; vector> mr; for (auto p : facts) { mr.emplace_back(power(p.first, p.second.first), p.second.second); if (p.second.second != 0) zero = false; } if (zero) { ll res = 1; for (auto p : facts) { (res *= power(p.first, p.second.first)) %= md; } return res; } mr.emplace_back(md, 0); int n = mr.size(); vector coffs(n, 1); vector constants(n, 0); for (int i = 0; i < n - 1; i++) { ll v = (mr[i].second - constants[i]) * mod_inv(coffs[i], mr[i].first) % mr[i].first; if (v < 0) v += mr[i].first; for (int j = i + 1; j < n; j++) { (constants[j] += coffs[j] * v) %= mr[j].first; (coffs[j] *= mr[i].first) %= mr[j].first; } } return constants.back(); } }; int main() { int N; cin >> N; CRT crt; for (int i = 0; i < N; i++) { int X, Y; cin >> X >> Y; crt.add(X, Y); } cout << crt.solve(mod) << endl; return 0; }