#include #include #define Cint boost::multiprecision::cpp_int using namespace std; const int mod = 1e9 + 7; //ax + by = gcd(a,b) Cint extgcd(Cint a, Cint b, Cint& x, Cint& y) { if (b) { Cint d = extgcd(b, a % b, y, x); y -= a / b * x; return d; } else { x = 1; y = 0; return a; } } int main() { int N; cin >> N; vector X(N), Y(N); for (int i = 0; i < N; i++) { cin >> X[i] >> Y[i]; } Cint ans = X[0]; if (ans == 0) ans = Y[0]; Cint y = Y[0]; for (int i = 1; i < N; i++) { Cint a, b; extgcd(y, Y[i], a, b); if (abs(ans - X[i]) % gcd(y, Y[i]) != 0) { cout << -1 << endl; return 0; } a *= (X[i] - ans) / gcd(y, Y[i]); ans += a * y; y = lcm(y, Y[i]); } ans %= mod; cout << ans << endl; }