using System; using System.IO; using System.Linq; using System.Text; using System.Text.RegularExpressions; using System.Collections.Generic; using System.Diagnostics; using System.Numerics; using Enu = System.Linq.Enumerable; public class Program { static readonly int Mod = (int)1e9 + 7; public void Solve() { int N = Reader.Int(); long[] M = new long[N], A = new long[N]; for (int i = 0; i < N; i++) { A[i] = Reader.Int(); M[i] = Reader.Int(); } var ans = LinearCongruence(M, A); Console.WriteLine(ans == -1 ? -1 : ans % Mod); } // X % M[i] = A[i] static BigInteger LinearCongruence(long[] M, long[] A, bool positive = true) { BigInteger x = 0, m = 1; for (int i = 0; i < A.Length; i++) { var a = m; var b = A[i] - x; var d = BigInteger.GreatestCommonDivisor(M[i], a); if (d == 0 || b % d != 0) return -BigInteger.One; var e = M[i] / d; var t = b / d * ModInverse(a / d, e) % e; x = x + m * t; m *= M[i] / d; } if (x == 0) return positive ? m : 0; return x > 0 ? x % m : x % m + m; } static BigInteger ModInverse(BigInteger x, BigInteger mod) { BigInteger y = mod, a = 1, b = 0, t; while (y != 0) { var d = x / y; t = x - d * y; x = y; y = t; t = a - d * b; a = b; b = t; } return a >= 0 ? a % mod : a % mod + mod; } } class Entry { static void Main() { new Program().Solve(); } } class Reader { static TextReader reader = Console.In; static readonly char[] separator = { ' ' }; static readonly StringSplitOptions op = StringSplitOptions.RemoveEmptyEntries; static string[] A = new string[0]; static int i; static void Init() { A = new string[0]; } public static void Set(TextReader r) { reader = r; Init(); } public static void Set(string file) { reader = new StreamReader(file); Init(); } public static bool HasNext() { return CheckNext(); } public static string String() { return Next(); } public static int Int() { return int.Parse(Next()); } public static long Long() { return long.Parse(Next()); } public static double Double() { return double.Parse(Next()); } public static int[] IntLine() { return Array.ConvertAll(Split(Line()), int.Parse); } public static int[] IntArray(int N) { return Range(N, Int); } public static int[][] IntTable(int H) { return Range(H, IntLine); } public static string[] StringArray(int N) { return Range(N, Next); } public static string[][] StringTable(int N) { return Range(N, () => Split(Line())); } public static string Line() { return reader.ReadLine().Trim(); } public static T[] Range(int N, Func f) { var r = new T[N]; for (int i = 0; i < N; r[i++] = f()) ; return r; } static string[] Split(string s) { return s.Split(separator, op); } static string Next() { CheckNext(); return A[i++]; } static bool CheckNext() { if (i < A.Length) return true; string line = reader.ReadLine(); if (line == null) return false; if (line == "") return CheckNext(); A = Split(line); i = 0; return true; } }