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; 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 int[max + 1]); var B = Enumerate(c + 1, x => new int[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]; var C = new ModInteger[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] += A[p][i] * B[c][j]; var V = Enumerate(max, x => new ModInteger(1)); var res = Polynomial.Get(n + max - 1, V, C, 0); 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 public static class Polynomial { static public ModInteger Get(long n, ModInteger[] A, ModInteger[] C, ModInteger Const) { var k = C.Length; var m = k * 2 - 1; var c = new ulong[k]; for (int i = 0; i < k; i++) c[i] = (ulong)C[i].num; polynomial p = new polynomial(k, 0), ret = new polynomial(k, 0), bas = new polynomial(c, Const); p.a[1] = ret.a[0] = 1; for (; n > 0; n >>= 1) { if ((n & 1) == 1) ret = multiply(ret, p, bas); p = multiply(p, p, bas); } return new ModInteger((long)substitute(ret, A)); } static polynomial multiply(polynomial l, polynomial r, polynomial bas) { const ulong mod = ModInteger.Mod; var k = l.a.Length; var ret = new ulong[k << 1]; ulong val = 0; for (int i = 0; i < k; i++) for (int j = 0; j < k; j++) ret[i + j] = (ret[i + j] + l.a[i] * r.a[j]) % mod; /* var sum = 0ul; for (int i = 0; i < k; i++) sum = (sum + l.a[i]) % mod; val = ((sum % mod) * r.val + l.val) % mod; //*/ for (int i = k; i < k << 1; i++) ret[i] %= mod; for (int i = (k << 1) - 1; i >= k; i--) for (int j = 1; j <= k; j++) ret[i - j] = (ret[i - j] + ret[i] * bas.a[k - j]) % mod; /* sum = 0ul; for (int i = k; i < ret.a.Length; i++) sum = (sum + ret.a[i]) % mod; val = (ret.val + (sum % mod) * bas.val) % mod; //*/ var ans = new polynomial(); ans.a = new ulong[k]; Buffer.BlockCopy(ret, 0, ans.a, 0, sizeof(ulong) * k); ans.val = val; return ans; } static ulong substitute(polynomial val, ModInteger[] init) { var ret = val.val; for (int i = 0; i < val.a.Length; i++) ret = (ret + (ulong)init[i].num * val.a[i]) % ModInteger.Mod; return ret; } struct polynomial { public ulong[] a; public ulong val; public polynomial(int len, ModInteger v) : this() { a = new ulong[len]; val = (ulong)v.num; } public polynomial(ulong[] b, ModInteger v) : this() { a = b; val = (ulong)v.num; } } } #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