using System; using System.Collections.Generic; using System.Linq; using Debug = System.Diagnostics.Debug; using Watch = System.Diagnostics.Stopwatch; using StringBuilder = System.Text.StringBuilder; using System.Numerics; using System.Threading.Tasks; 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 }; var max = 13 * p + 12 * c; var A = Enumerate(p + 1, x => new ulong[max + 1]); var B = Enumerate(c + 1, x => new ulong[max + 1]); A[0][0] = B[0][0] = 1; for (int k = 0; k < 6; k++) for (int i = 0; i < p; i++) for (int j = 0; j < p * 13; j++) if (A[i][j] > 0) A[i + 1][j + a[k]] += A[i][j]; for (int k = 0; k < 6; k++) for (int i = 0; i < c; i++) for (int j = 0; j < c * 12; j++) if (B[i][j] > 0) B[i + 1][j + b[k]] += B[i][j]; const ulong mod = (long)1e9 + 7; var C = new ulong[max]; for (int i = 0; i <= max; i++) for (int j = 0; j <= max; j++) if (A[p][i] > 0 && B[c][j] > 0) C[max - i - j] = ((C[max - i - j] + A[p][i] * B[c][j]) % mod); Polynomial.Register(C); var res = Polynomial.Get(n + max - 1); IO.Printer.Out.WriteLine(res); } 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 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); 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 Polynomial static public class Polynomial { const ulong mod = (ulong)1e9 + 7; static int k; static ulong[] C; static int st = -1; static public void Register(ulong[] c) { var cc = new List(); k = c.Length; C = new ulong[k + 1]; var gogo = new List(); for (int i = 1; i <= k; i++) if (c[k - i] > 0) { st = i; break; } for (int i = 1; i <= k; i++) if (c[k - i] > 0) C[i] = c[k - i]; } static public ulong Get(long n) { ulong[] p = new ulong[k], ret = new ulong[k]; p[1] = ret[0] = 1; //long last = 0;var sw = new System.Diagnostics.Stopwatch(); sw.Start(); for (; n > 0; n >>= 1) { if ((n & 1) == 1) multiply(ret, p); multiply_self(p); //var now = sw.ElapsedMilliseconds;Program.IO.Printer.Out.WriteLine(now - last);last = now; } //sw.Stop(); return substitute(ret); } static void multiply(ulong[] l, ulong[] r) { var temp = new ulong[k << 1]; for (int i = 0; i < k; i++) if (l[i] == 0) continue; else for (int j = 0; j < k; j++) temp[i + j] = (temp[i + j] + l[i] * r[j]) % mod; for (int i = (k << 1) - 1; i >= k; i--) for (int j = st; j <= k; j++) temp[i - j] = (temp[i - j] + temp[i] * C[j]) % mod; Buffer.BlockCopy(temp, 0, l, 0, sizeof(ulong) * k); } static void multiply_self(ulong[] l) { var temp = new ulong[k << 1]; for (int i = 0; i < k; i++) { if (l[i] == 0) continue; for (int j = 0; j < k; j++) temp[i + j] = (temp[i + j] + l[i] * l[j]) % mod; } for (int i = (k << 1) - 1; i >= k; i--) { if (temp[i] == 0) continue; for (int j = st; j <= k; j++) temp[i - j] = (temp[i - j] + temp[i] * C[j]) % mod; } Buffer.BlockCopy(temp, 0, l, 0, sizeof(ulong) * k); } static ulong substitute(ulong[] val) { ulong ret = 0; for (int i = 0; i < val.Length; i++) ret = (ret + val[i]) % mod; return ret; } } #endregion