namespace AtCoder; #nullable enable using System.Numerics; class HashMap : Dictionary where K : notnull where V : struct { public new V this[K k] { get => TryGetValue(k, out var value) ? value : base[k] = default; set { base[k] = value; } } } readonly record struct ModInt : IEqualityOperators, IAdditiveIdentity, IAdditionOperators, IUnaryNegationOperators, ISubtractionOperators, IMultiplicativeIdentity, IMultiplyOperators, IDivisionOperators { int V { get; init; } public const int Mod = 998244353; public ModInt(long value) { var v = value % Mod; if (v < 0) v += Mod; V = (int)v; } ModInt(int value) { V = value; } public static implicit operator ModInt(long v) => new(v); public static implicit operator int(ModInt modInt) => modInt.V; public static ModInt operator +(ModInt a, ModInt b) { var v = a.V + b.V; if (v >= Mod) v -= Mod; return new(v); } public static ModInt operator -(ModInt a) => new(a.V == 0 ? 0 : Mod - a.V); public static ModInt operator -(ModInt a, ModInt b) { var v = a.V - b.V; if (v < 0) v += Mod; return new(v); } public static ModInt operator *(ModInt a, ModInt b) => new((int)((long)a.V * b.V % Mod)); public static ModInt operator /(ModInt a, ModInt b) { if (b == 0) throw new DivideByZeroException(); var (d, x, _) = ExtendedGcd(b.V, Mod); if (d > 1) throw new DivideByZeroException(); return x * a.V; } public ModInt Power(long p) { if (p < 0) return (MultiplicativeIdentity / V).Power(-p); long res = 1; long k = V; while (p > 0) { if ((p & 1) > 0) res = res * k % Mod; k = k * k % Mod; p >>= 1; } return res; } static (long d, long x, long y) ExtendedGcd(long a, long b) { if (b == 0) return (a, 1, 0); var (d, x, y) = ExtendedGcd(b, a % b); return (d, y, x - a / b * y); } public static ModInt AdditiveIdentity => new(0); public static ModInt MultiplicativeIdentity => new(1); public override string ToString() => V.ToString(); } static class Extensions { public static T[] Repeat(this int time, Func F) => Enumerable.Range(0, time).Select(_ => F()).ToArray(); } class AtCoder { object? Solve() { var str = String().AsSpan(); var l = str.Length; var cdz = new int[l, 10]; for (var i = 0; i < l; i++) { var bs = "".AsSpan(); if (i > 0) bs = str[..i]; for (var j = 0; j < 10; j++) { var ns = (bs.ToString() + j.ToString()).AsSpan(); var nsl = ns.Length; for (var k = nsl; k > 0; k--) { if (str[..k].ToString() == ns[^k..nsl].ToString()) { cdz[i, j] = k; break; } } } } var g = (l + 1).Repeat(() => new HashMap()); var mem = new bool[l + 1]; mem[l] = true; var teni = (ModInt)1 / 10; void G(int d) { if (mem[d]) return; mem[d] = true; g[d][d] = 1; var ng = new HashMap(); for (var i = 0; i < 10; i++) { var next = cdz[d, i]; G(next); var ig = g[next]; foreach (var (j, v) in ig) ng[j] += v * teni; if (d == 0) ng[l] += teni; else if (next == 0) ng[l] += d * teni; else ng[l] += (d - next + 1) * teni; } var self = 1 - ng[d]; self = 1 / self; foreach (var (j, _) in ng) ng[j] *= self; ng[d] = 0; g[d] = ng; } G(0); return g[0][l]; } public static void Main() => new AtCoder().Run(); public void Run() { var res = Solve(); if (res != null) { if (res is bool yes) res = yes ? "Yes" : "No"; sw.WriteLine(res); } sw.Flush(); } string[] input = Array.Empty(); int iter = 0; readonly StreamWriter sw = new(Console.OpenStandardOutput()) { AutoFlush = false }; string String() { while (iter >= input.Length) (input, iter) = (Console.ReadLine()!.Split(' '), 0); return input[iter++]; } T Input() where T : IParsable => T.Parse(String(), null); int Int() => Input(); void Out(object? x, string? separator = null) { separator ??= Environment.NewLine; if (x is System.Collections.IEnumerable obj and not string) { var firstLine = true; foreach (var item in obj) { if (!firstLine) sw.Write(separator); firstLine = false; sw.Write(item); } } else sw.Write(x); sw.WriteLine(); } }