#pragma GCC optimize("O3") #pragma GCC optimize ("unroll-loops") #define io_init cin.tie(0);ios::sync_with_stdio(0);cout< constexpr int INF = 2147483647; constexpr long long int INF_LL = 9223372036854775807; constexpr int MOD = 1000000007; constexpr double PI = 3.14159265358979323846; using namespace std; typedef long long int ll; typedef unsigned long long int ull; auto extGCD(long long a, long long b) { long long x = 1, y = 0, u = 0, v = 1; while (b != 0) { auto j = a % b, k = a / b; x -= k * u; y -= k * v; std::swap(x, u); std::swap(y, v); a = b; b = j; } return std::make_pair(x, y); } long long crt(std::vector& b, std::vector& m, long long mod = std::numeric_limits::max()) { auto pmod = [&](long long a, long long m) { a = a % m; return (a < 0 ? a + m : a); }; auto modinv = [&](long long a, long long m) { auto [x, y] = extGCD(a, m); return pmod(x, m); }; for (int i = 0; i < b.size(); i++) { for (int j = 0; j < i; j++) { long long g = gcd(m[i], m[j]); if ((b[i] - b[j]) % g != 0)return -1; m[i] /= g; m[j] /= g; long long gi = gcd(m[i], g), gj = g / gi; do { g = gcd(gi, gj); gi *= g, gj /= g; } while (g != 1); m[i] *= gi, m[j] *= gj; b[i] %= m[i], b[j] %= m[j]; } } m.push_back(mod); std::vector tmp1(m.size(), 1), tmp2(m.size(), 0); for (int k = 0; k < b.size(); k++) { long long t = pmod((b[k] - tmp2[k]) * modinv(tmp1[k], m[k]), m[k]); for (int i = k + 1; i < m.size(); i++) { tmp2[i] = (tmp2[i] + tmp1[i] * t) % m[i]; tmp1[i] = (tmp1[i] * m[k]) % m[i]; } } return tmp2.back(); } int main() { int N; cin >> N; bool flag = false; vector b(N), m(N); for (int i = 0; i < N; i++) { cin >> b[i] >> m[i]; if (b[i])flag = true; } ll ans = crt(b, m, MOD); if (ans != -1 && !flag) { ans = 1; for (int i = 0; i < N; i++)ans = (ans * m[i]) % MOD; } cout << ans << endl; }