using System; using System.IO; using System.Linq; using System.Text; using System.Collections.Generic; using System.Diagnostics; using System.Numerics; using Enu = System.Linq.Enumerable; class Program { static readonly int SmallN = (int)1e6; static readonly int Mod = (int)1e9 + 7; public void Solve() { int L = Reader.Int(); long N = Reader.Long(); var F = new[] { 0 }.Concat(Reader.IntArray(L)).Concat(new int[SmallN]).ToArray(); var S = new int[SmallN + 1]; for (int i = 1; i <= L; i++) S[i] = (F[i] + S[i - 1]) % Mod; if (N <= SmallN) { for (int i = L + 1; i <= N; i++) { F[i] = (S[i - 1] - S[i - L - 1] + Mod) % Mod; S[i] = (F[i] + S[i - 1]) % Mod; } Console.WriteLine(F[N] + " " + S[N]); } else { var M = new long[L][]; for (int r = 0; r < L; r++) M[r] = new long[L]; for (int c = 0; c < L; c++) M[0][c] = 1; for (int r = 1; r < L; r++) M[r][r - 1] = 1; M = MatrixModPower(M, N - L, Mod); long f = 0; for (int i = 0; i < L; i++) f = (f + M[0][i] * F[L - i]) % Mod; M = new long[L + 1][]; for (int r = 0; r < M.Length; r++) M[r] = new long[L + 1]; M[0][0] = 2; M[0][L] = Mod - 1; for (int r = 1; r < M.Length; r++) M[r][r - 1] = 1; M = MatrixModPower(M, N - L, Mod); long s = 0; for (int i = 0; i < M.Length; i++) s = (s + M[0][i] * S[L - i]) % Mod; Console.WriteLine(f + " " + s); } } 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 = new long[A.Length][]; for (int i = 0; i < res.Length; i++) res[i] = new long[B[0].Length]; 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; } } class Entry { static void Main() { new Program().Solve(); } } class Reader { private static TextReader reader = Console.In; private static readonly char[] separator = { ' ' }; private static readonly StringSplitOptions op = StringSplitOptions.RemoveEmptyEntries; private static string[] A = new string[0]; private static int i; private 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 Enu.Range(0, N).Select(i => Int()).ToArray(); } public static int[][] IntTable(int H) { return Enu.Range(0, H).Select(i => IntLine()).ToArray(); } public static string[] StringArray(int N) { return Enu.Range(0, N).Select(i => Line()).ToArray(); } public static string Line() { return reader.ReadLine().Trim(); } private static string[] Split(string s) { return s.Split(separator, op); } private static string Next() { CheckNext(); return A[i++]; } private 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; } }