using System; using System.Linq; using System.Diagnostics; 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 b = dec(sc.Scan().ToCharArray()); var a = sc.Scan(); var p = sc.Integer(); //f(Enumerable.Repeat('a', 100000).AsString()); var A = f(a); var B = f(b.ToString()); IO.Printer.Out.WriteLine(g(A, p) - g(B, p)); } static public string dec(char[] a) { for (int i = a.Length - 1; i >= 0; i--) { if (a[i] == '0') { a[i] = '9'; continue; } a[i]--; break; } return a.AsString(); } static public ModInteger g(ModInteger[,,,] a, int p) { ModInteger sum = 0; for (int i = 0; i < 2; i++) for (int j = 0; j < 2; j++) { for (int k = 0; k < 3; k++) { if (j == 1 || k == 0) { for (int l = 0; l < 100000; l++) { if (l % p == 0) continue; //Debug.WriteLine("{0} {1} {2} {3} {4}", i, j, k, l, a[i, j, k, l]); sum += a[i, j, k, l]; } } } } return sum; } static public ModInteger[,,,] f(string s) { const int koyumeishi = 3; var dp = new ModInteger[2, 2, koyumeishi]; dp[0, 0, 0] = 1; for (int i = 0; i < s.Length - 5; i++) { var next = new ModInteger[2, 2, koyumeishi]; var v = s[i] - '0'; for (int j = 0; j < 10; j++) { for (int k = 0; k < koyumeishi; k++) { var to = (j + k * 10) % koyumeishi; var go = j == 3 ? 1 : 0; next[1, go, to] += dp[1, 0, k]; next[1, 1, to] += dp[1, 1, k]; if (j <= v) { var otaku = j == v ? 0 : 1; next[otaku, go, to] += dp[0, 0, k]; next[otaku, 1, to] += dp[0, 1, k]; } } } dp = next; } //return dp; //otaku special int size = 1; var unko = new ModInteger[2, 2, 3, 1]; for (int i = 0; i < 2; i++) for (int j = 0; j < 2; j++) for (int k = 0; k < 3; k++) unko[i, j, k, 0] = dp[i, j, k]; for (int i = Math.Max(0, s.Length - 5); i < s.Length; i++) { var aaa = size * 10; if (i == s.Length - 1) aaa = 100000; var next = new ModInteger[2, 2, 3, aaa]; var v = s[i] - '0'; for (int j = 0; j < 10; j++) { for (int k = 0; k < koyumeishi; k++) for (int l = 0; l < size; l++) { var to = (j + k * 10) % koyumeishi; var gogo = (l * 10 + j); var go = j == 3 ? 1 : 0; next[1, go, to, gogo] += unko[1, 0, k, l]; next[1, 1, to, gogo] += unko[1, 1, k, l]; if (j <= v) { var otaku = j == v ? 0 : 1; next[otaku, go, to, gogo] += unko[0, 0, k, l]; next[otaku, 1, to, gogo] += unko[0, 1, k, l]; } } } unko = next; size *= 10; } return unko; } 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 main 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 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, T[] source) { base.Write(format, source.OfType().ToArray()); } public void WriteLine(string format, T[] 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 string ScanLine() { var sb = new StringBuilder(); for (var b = Char(); b != '\n'; b = (char)read()) if (b == 0) break; else if (b != '\r') 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 != 0 && b != '-' && (b < '0' || '9' < b)); if (b == 0) return long.MinValue; 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() { var s = Scan(); return s != "" ? double.Parse(Scan(), CultureInfo.InvariantCulture) : double.NaN; } 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); } } } #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; if (num < 0) num += 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() { num = n }; } public static ModInteger operator -(ModInteger l, ModInteger r) { var n = l.num + Mod - r.num; if (n >= Mod) n -= Mod; return new ModInteger() { num = n }; } public static ModInteger operator *(ModInteger l, ModInteger r) { return new ModInteger(l.num * r.num); } public static implicit operator ModInteger(long n) { return new ModInteger(n); } } #endregion