using System; using System.Diagnostics; using System.Collections.Generic; using System.Linq; using Enu = System.Linq.Enumerable; class Solution { long MOD = (long)1e9 + 7; long N, K; int[] A; void calc() { rlo(out N, out K); A = ria((int)N); if(K <= (int)1e6) { long[] f = new long[K + 1], s = new long[K + 1]; for(int i = 1; i <= K; i++) { if(i <= N) f[i] = A[i - 1]; else f[i] = (s[i - 1] - s[i - N - 1] + MOD) % MOD; s[i] = (s[i - 1] + f[i]) % MOD; } Console.WriteLine(f[K] + " " + s[K]); return; } else { long[,] M = new long[N + 1, N + 1]; for(int i = 0; i < N - 1; i++) { M[i, i + 1] = 1; } for(int i = 0; i < N; i++) { M[N - 1, i] = 1; } M[N, 0] = M[N, N] = 1; M = Algorithm.Matrix.Pow(M, K - N); long[,] a = new long[N + 1, 1]; for(int i = 0; i < N; i++) a[i, 0] = A[i]; var b = Algorithm.Matrix.mul(M, a); long s = 0; for(int i = 0; i <= N; i++) s = (s + b[i, 0]) % MOD; Console.WriteLine(b[N - 1, 0] + " " + s); return; } } static void Main(string[] args) { new Solution().calc(); } #region static int ri() { return int.Parse(Console.ReadLine()); } static int[] ria(int n) { if(n <= 0) { Console.ReadLine(); return new int[0]; } else return Console.ReadLine().Trim().Split(' ').Select(int.Parse).ToArray(); } static void rio(out int p1) { p1 = ri(); } static void rio(out int p1, out int p2) { var r = ria(2); p1 = r[0]; p2 = r[1]; } static void rio(out int p1, out int p2, out int p3) { var r = ria(3); p1 = r[0]; p2 = r[1]; p3 = r[2]; } static void rio(out int p1, out int p2, out int p3, out int p4) { var r = ria(4); p1 = r[0]; p2 = r[1]; p3 = r[2]; p4 = r[3]; } static void rio(out int p1, out int p2, out int p3, out int p4, out int p5) { var r = ria(5); p1 = r[0]; p2 = r[1]; p3 = r[2]; p4 = r[3]; p5 = r[4]; } static long rl() { return long.Parse(Console.ReadLine()); } static long[] rla(int n) { if(n <= 0) { Console.ReadLine(); return new long[0]; } else return Console.ReadLine().Trim().Split(' ').Select(long.Parse).ToArray(); } static void rlo(out long p1) { p1 = rl(); } static void rlo(out long p1, out long p2) { var r = rla(2); p1 = r[0]; p2 = r[1]; } static void rlo(out long p1, out long p2, out long p3) { var r = rla(3); p1 = r[0]; p2 = r[1]; p3 = r[2]; } static void rlo(out long p1, out long p2, out long p3, out long p4) { var r = rla(4); p1 = r[0]; p2 = r[1]; p3 = r[2]; p4 = r[3]; } static void rlo(out long p1, out long p2, out long p3, out long p4, out long p5) { var r = rla(5); p1 = r[0]; p2 = r[1]; p3 = r[2]; p4 = r[3]; p5 = r[4]; } static double rd() { return double.Parse(Console.ReadLine()); } static double[] rda(int n) { if(n <= 0) { Console.ReadLine(); return new double[0]; } else return Console.ReadLine().Trim().Split(' ').Select(double.Parse).ToArray(); } static void rdo(out double p1) { p1 = rd(); } static void rdo(out double p1, out double p2) { var r = rda(2); p1 = r[0]; p2 = r[1]; } static void rdo(out double p1, out double p2, out double p3) { var r = rda(3); p1 = r[0]; p2 = r[1]; p3 = r[2]; } static void rdo(out double p1, out double p2, out double p3, out double p4) { var r = rda(4); p1 = r[0]; p2 = r[1]; p3 = r[2]; p4 = r[3]; } static void rdo(out double p1, out double p2, out double p3, out double p4, out double p5) { var r = rda(5); p1 = r[0]; p2 = r[1]; p3 = r[2]; p4 = r[3]; p5 = r[4]; } static void swap(ref T x, ref T y) { T temp = x; x = y; y = temp; } static void wa1(T[] a) { Debug.WriteLine(string.Join(" ", a)); } static void wa2(T[][] a) { foreach(var row in a) { Debug.WriteLine(String.Join(" ", row)); } } [DebuggerDisplay("{x} , {y}")] class point { public T x, y; public point(T x, T y) { this.x = x; this.y = y; } } #endregion } namespace Algorithm { using T = System.Int64; static class Matrix { static T MOD = (T)1e9 + 7; public static T[,] mul(T[,] a, T[,] b) { int n = a.GetLength(0), m = b.GetLength(1), l = a.GetLength(1); T[,] c = new T[n, m]; for(int i = 0; i < n; i++) { for(int j = 0; j < m; j++) { for(int k = 0; k < l; k++) { c[i, j] = (c[i, j] + (a[i, k] * b[k, j]) % MOD) % MOD; } } } return c; } public static T[,] Pow(T[,] a, long n) { int dim = a.GetLength(0); var b = new T[dim, dim]; for(int i = 0; i < dim; i++) b[i, i] = 1; while(n > 0) { if((n & 1) > 0) b = mul(a, b); a = mul(a, a); n >>= 1; } return b; } } } static class Extention { public static T[][] ToJagArray(this T[,] a) { int n = a.GetLength(0), m = a.GetLength(1); var ret = new T[n][]; for(int i = 0; i < n; i++) { ret[i] = new T[m]; for(int j = 0; j < m; j++) { ret[i][j] = a[i, j]; } } return ret; } public static bool InRange(this T[,] a, int i, int j) { int n = a.GetLength(0), m = a.GetLength(1); return 0 <= i && i < n && 0 <= j && j < m; } }