using System; using System.Linq; using System.Collections.Generic; using Debug = System.Diagnostics.Debug; using StringBuilder = System.Text.StringBuilder; using System.Numerics; namespace Program { public class Solver { public void Solve() { var n = sc.Long(); var p = sc.Integer(); var c = sc.Integer(); var a = new int[] { 2, 3, 5, 7, 11, 13 }; var b = new int[] { 4, 6, 8, 9, 10, 12 }; const int max = 128; var table = Enumerate(p + c + 1, x => new ModInteger[max]); table[0][0] = 1; for (int i = 0; i < 6; i++) for (int j = p - 1; j >= 0; j--) for (int k = 1; k <= p; k++) if (j + k <= p) for (int l = 0; l < max; l++) if (table[j][l].num > 0) table[j + k][l + a[i] * k] += table[j][l]; for (int i = 0; i < 6; i++) for (int j = p + c - 1; j >= p; j--) for (int k = 1; k <= c; k++) if (j + k <= p + c) for (int l = 0; l < max; l++) if (table[j][l].num > 0) table[j + k][l + b[i] * k] += table[j][l]; var mat = new Matrix(max, max); for (int i = 1; i < max; i++) mat[i, i - 1] = 1; for (int i = 0; i < max - 1; i++) mat[0, i] = table[p + c][i + 1].num; var ret = Matrix.Pow(mat, n); ModInteger ans = 0; for (int i = 0; i < max; i++) ans += ret[0, i]; IO.Printer.Out.WriteLine(ans); } 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 < n; ++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 Ex namespace Program.IO { using System.IO; using System.Text; using System.Globalization; public class Printer : StreamWriter { static Printer() { Out = new Printer(Console.OpenStandardOutput()) { AutoFlush = false }; } public static Printer Out { get; set; } public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } } public Printer(System.IO.Stream stream) : base(stream, new UTF8Encoding(false, true)) { } public Printer(System.IO.Stream stream, Encoding encoding) : base(stream, encoding) { } public void Write(string format, IEnumerable source) { base.Write(format, source.OfType().ToArray()); } public void WriteLine(string format, IEnumerable source) { base.WriteLine(format, source.OfType().ToArray()); } } 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 long Long() { if (isEof) return long.MinValue; long ret = 0; byte b = 0; var ng = false; do b = read(); while (b != '-' && (b < '0' || '9' < b)); if (b == '-') { ng = true; b = read(); } for (; true; b = read()) { if (b < '0' || '9' < b) return ng ? -ret : ret; else ret = ret * 10 + b - '0'; } } public int Integer() { return (isEof) ? int.MinValue : (int)Long(); } public double Double() { return double.Parse(Scan(), CultureInfo.InvariantCulture); } private T[] enumerate(int n, Func f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(); return a; } public char[] Char(int n) { return enumerate(n, Char); } public string[] Scan(int n) { return enumerate(n, Scan); } public double[] Double(int n) { return enumerate(n, Double); } public int[] Integer(int n) { return enumerate(n, Integer); } public long[] Long(int n) { return enumerate(n, Long); } } } static class Ex { static public string AsString(this IEnumerable ie) { return new string(System.Linq.Enumerable.ToArray(ie)); } static public string AsJoinedString(this IEnumerable ie, string st = " ") { return string.Join(st, ie); } static public void Main() { var solver = new Program.Solver(); solver.Solve(); Program.IO.Printer.Out.Flush(); } } #endregion #region ModNumber public partial struct ModInteger { public const long Mod = (long)1e9 + 7; public long num; public ModInteger(long n) : this() { num = n % Mod; } public override string ToString() { return num.ToString(); } public static ModInteger operator +(ModInteger l, ModInteger r) { var n = l.num + r.num; if (n >= Mod)n -= Mod; return new ModInteger(n); } public static ModInteger operator -(ModInteger l, ModInteger r) { var n = l.num - r.num; if (n < 0)n += Mod; return new ModInteger(n); } public static ModInteger operator *(ModInteger l, ModInteger r) { return new ModInteger((l.num * r.num) % Mod); } public static implicit operator ModInteger(long n) { return new ModInteger(n); } } #endregion #region Matrix public class Matrix { int row, col; long[][] mat; public long this[int r, int c] { get { return mat[r][c]; } set { mat[r][c] = value; } } public Matrix(int r, int c) { row = r; col = c; mat = new long[r][]; for (int i = 0; i < r; i++) mat[i] = new long[c]; } public static Matrix operator +(Matrix l, Matrix r) { check(l, r); var ret = new Matrix(l.row, l.col); for (int i = 0; i < l.row; i++) for (int j = 0; j < l.col; j++) ret.mat[i][j] = l.mat[i][j] + r.mat[i][j]; return ret; } public static Matrix operator *(Matrix l, Matrix r) { checkMul(l, r); var ret = new Matrix(l.row, l.col); var trans = Matrix.Trans(r); for (int i = 0; i < 128; i++) for (int j = 0; j < 128; j++) for (int k = 0; k < 64; k++) ret.mat[i][j] = (ret.mat[i][j] + l.mat[i][k] * trans.mat[j][k] + l.mat[i][127 - k] * trans.mat[j][127 - k]) % ModInteger.Mod; return ret; } public static Matrix Pow(Matrix m, long n) { var ret = new Matrix(m.row, m.col); for (int i = 0; i < m.row; i++) ret.mat[i][i] = 1; for (; n > 0; m *= m, n >>= 1) { if ((n & 1) == 1) ret = ret * m; } return ret; } public static Matrix Trans(Matrix m) { var ret = new Matrix(m.col, m.row); for (int i = 0; i < m.row; i++) for (int j = 0; j < m.col; j++) ret.mat[j][i] = m.mat[i][j]; return ret; } [System.Diagnostics.Conditional("DEBUG")] static private void check(Matrix a, Matrix b) { if (a.row != b.row || a.col != b.col) throw new Exception("row and col have to be same."); } [System.Diagnostics.Conditional("DEBUG")] static private void checkMul(Matrix a, Matrix b) { if (a.col != b.row) throw new Exception("row and col have to be same."); } } #endregion