using System; using System.IO; using System.Linq; using System.Text; using System.Diagnostics; using System.Collections.Generic; using System.Text.RegularExpressions; using Enu = System.Linq.Enumerable; using System.Numerics; class Program { static readonly int Mod = (int)1e9 + 7; void Solve() { int N = reader.Int(); long[] Cs = new long[N]; long[] Ds = new long[N]; for (int i = 0; i < N; i++) { Cs[i] = reader.Long(); Ds[i] = (long)(BigInteger.Parse(reader.String()) % Mod); } BigInteger ans = 1; for (int i = 0; i < N; i++) { long c = Cs[i]; long num = Ds[i]; var mat = new long[2][]; mat[0] = new long[] { 1, 1 }; // x mat[1] = new long[] { 1, 0 }; // o mat = MatrixModPower(mat, c - 1, Mod); long curr = (mat[0][0] + mat[0][1] + mat[1][0] + mat[1][1]) % Mod; curr = ModPower(curr, (long)(num % Mod)); ans *= curr; ans %= Mod; } Console.WriteLine(ans); } static long ModPower(long x, long n) // x ^ n { long res = 1; while (n > 0) { if ((n & 1) == 1) { res = (res * x) % Mod; } x = (x * x) % Mod; n >>= 1; } return res; } static long[][] MatrixModPower(long[][] A, long n, long mod) { int size = A.Length; long[][] res = new long[size][]; for (int i = 0; i < size; i++) { res[i] = new long[size]; res[i][i] = 1; } while (n > 0) { if ((n & 1) == 1) res = MatrixModMult(res, A, mod); A = MatrixModMult(A, A, mod); n >>= 1; } return res; } static long[][] MatrixModMult(long[][] A, long[][] B, long mod) { long[][] res = Enu.Range(0, A.Length).Select(i => new long[B[0].Length]).ToArray(); for (int i = 0; i < A.Length; i++) for (int j = 0; j < B[0].Length; j++) for (int k = 0; k < A[0].Length; k++) res[i][j] = (res[i][j] + A[i][k] * B[k][j]) % mod; return res; } Reader reader = new Reader(Console.In); static void Main() { new Program().Solve(); } } class Reader { private readonly TextReader reader; private readonly char[] separator = { ' ' }; private readonly StringSplitOptions removeOp = StringSplitOptions.RemoveEmptyEntries; private string[] A = new string[0]; private int i; public Reader(TextReader r) { reader = r; } public bool HasNext() { return Enqueue(); } public string String() { return Dequeue(); } public int Int() { return int.Parse(Dequeue()); } public long Long() { return long.Parse(Dequeue()); } public double Double() { return double.Parse(Dequeue()); } public int[] IntLine() { var s = Line(); return s == "" ? new int[0] : Array.ConvertAll(Split(s), int.Parse); } public int[] IntArray(int N) { return Enu.Range(0, N).Select(i => Int()).ToArray(); } public int[][] IntGrid(int H) { return Enu.Range(0, H).Select(i => IntLine()).ToArray(); } public string[] StringArray(int N) { return Enu.Range(0, N).Select(i => Line()).ToArray(); } public string Line() { return reader.ReadLine().Trim(); } private string[] Split(string s) { return s.Split(separator, removeOp); } private bool Enqueue() { if (i < A.Length) return true; string line = reader.ReadLine(); if (line == null) return false; if (line == "") return Enqueue(); A = Split(line); i = 0; return true; } private string Dequeue() { Enqueue(); return A[i++]; } }