using System; using System.Linq; using System.Collections.Generic; using System.Diagnostics; using Debug = System.Diagnostics.Trace; using SB = System.Text.StringBuilder; using System.Numerics; using static System.Math; using Number = System.Int64; namespace Program { public class Solver { Random rnd = new Random(); public void Solve() { var n = ri; if (n == 1) { Console.WriteLine(0); return; } var K = ri; const int MK = 305; var dp = new long[MK, MK]; var stop = new long[MK, MK]; var ep = new long[MK]; dp[0, 0] = 1; stop[0, 0] = 1; for (int k = 0; k < K; k++) { var next = new long[MK, MK]; var mext = new long[MK, MK]; for (int l = 0; l <= K; l++) for (int r = 0; r <= K; r++) { if (dp[l, r] == 0) continue; if (r < l) { add(ref next[l, r + 1], dp[l, r]); add(ref mext[l, r + 1], stop[l, r]); } add(ref next[l, r], dp[l, r] * (n - 2)); add(ref mext[l, r], stop[l, r] * (n - 1)); add(ref next[l + 1, r], dp[l, r]); add(ref mext[l + 1, r], dp[l, r]); } dp = next; stop = mext; } for (int i = 0; i <= K; i++) for (int r = 0; r <= K; r++) add(ref ep[r], dp[i, r]); var ans = 0L; for (int i = 1; i <= n; i++) { if (i <= K + 5) { for (int l = 0; l <= K; l++) for (int r = 0; r <= K; r++) { if (r >= i) continue; if (l > i - 1) continue; if (l == i - 1) { //Debug.WriteLine($"stop {i} {l} {r} {stop[l, r]}"); add(ref ans, stop[i - 1, r] * (i - r)); } else { //Debug.WriteLine($"go {i} {l} {r} {dp[l, r]}"); add(ref ans, dp[l, r] * (i - r)); } } } else { //Debug.WriteLine("po"); for (int r = 0; r <= K; r++) { add(ref ans, ep[r] * (i - r)); } } } Console.WriteLine(ans); } const long M = (long)1e9 + 7; void add(ref long u, long v) { u += v; u %= 1000000007; } const long INF = 1L << 60; static int[] dx = { -1, 0, 1, 0 }; static int[] dy = { 0, 1, 0, -1 }; int ri { get { return sc.Integer(); } } long rl { get { return sc.Long(); } } double rd { get { return sc.Double(); } } string rs { get { return sc.Scan(); } } public IO.StreamScanner sc = new IO.StreamScanner(Console.OpenStandardInput()); static T[] Enumerate(int n, Func f) { var a = new T[n]; for (int i = 0; i < a.Length; ++i) a[i] = f(i); return a; } static public void Swap(ref T a, ref T b) { var tmp = a; a = b; b = tmp; } } } #region main static class Ex { static public string AsString(this IEnumerable ie) { return new string(ie.ToArray()); } static public string AsJoinedString(this IEnumerable ie, string st = " ") { return string.Join(st, ie); } static public void Main() { //Console.SetOut(new Program.IO.Printer(Console.OpenStandardOutput()) { AutoFlush = false }); var solver = new Program.Solver(); solver.Solve(); Console.Out.Flush(); } } #endregion #region Ex namespace Program.IO { using System.IO; using System.Text; using System.Globalization; public class Printer : StreamWriter { public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } } public Printer(Stream stream) : base(stream, new UTF8Encoding(false, true)) { } } public class StreamScanner { public StreamScanner(Stream stream) { str = stream; } public readonly Stream str; private readonly byte[] buf = new byte[1024]; private int len, ptr; public bool isEof = false; public bool IsEndOfStream { get { return isEof; } } private byte read() { if (isEof) return 0; if (ptr >= len) { ptr = 0; if ((len = str.Read(buf, 0, 1024)) <= 0) { isEof = true; return 0; } } return buf[ptr++]; } public char Char() { byte b = 0; do b = read(); while ((b < 33 || 126 < b) && !isEof); return (char)b; } public string Scan() { var sb = new StringBuilder(); for (var b = Char(); b >= 33 && b <= 126; b = (char)read()) sb.Append(b); return sb.ToString(); } public string ScanLine() { var sb = new StringBuilder(); for (var b = Char(); b != '\n' && b != 0; b = (char)read()) if (b != '\r') sb.Append(b); return sb.ToString(); } public long Long() { return isEof ? long.MinValue : long.Parse(Scan()); } public int Integer() { return isEof ? int.MinValue : int.Parse(Scan()); } public double Double() { return isEof ? double.NaN : double.Parse(Scan(), CultureInfo.InvariantCulture); } } } #endregion