#nullable enable using System.Numerics; void Run() { var nan = "NaN"; var n = ulong.Parse(String()); var b = Int(); if (b == 1) { Out(0); return; } var m = (long)(n % (uint)b); if (m == 0) { Out(nan); return; } var q = Extensions.ModDiv(1, m, b); if (q.HasValue) Out(q.Value); else Out(nan); } #region AtCoderIO _io_; var _backend_ = new StandardIOBackend(); _io_ = new(){ Backend = _backend_ }; Run(); _backend_.Flush(); string String() => _io_.Next(); int Int() => int.Parse(String()); void Out(object? x, string? sep = null) => _io_.Out(x, sep); class AtCoderIO { public required StandardIOBackend Backend { get; init; } Memory _input = Array.Empty(); int _iter = 0; public string Next() { while (_iter >= _input.Length) (_input, _iter) = (Backend.ReadLine().Split(' '), 0); return _input.Span[_iter++]; } public void Out(object? x, string? separator = null) { if (x == null) return; separator ??= Environment.NewLine; if (x is System.Collections.IEnumerable a and not string) { var objects = a.Cast(); if (separator == Environment.NewLine && !objects.Any()) return; x = string.Join(separator, objects); } Backend.WriteLine(x); } } class StandardIOBackend { readonly StreamReader _sr = new(Console.OpenStandardInput()); readonly StreamWriter _sw = new(Console.OpenStandardOutput()) { AutoFlush = false }; public string ReadLine() => _sr.ReadLine()!; public void WriteLine(object? value) => _sw.WriteLine(value); public void Flush() => _sw.Flush(); } #endregion static class Extensions { public static T[] Repeat(this int time, Func F) => Enumerable.Range(0, time).Select(_ => F()).ToArray(); public static (long d, long x, long y) ExtendedGCD(long a, long b) { var (x0, y0, x1, y1) = (1L, 0L, 0L, 1L); while (b != 0) { var q = a / b; (a, b) = (b, a - q * b); (x0, y0, x1, y1) = (x1, y1, x0 - q * x1, y0 - q * y1); } return (a, x0, y0); } public static long? ModDiv(long a, long b, long m) { if (b == 0) throw new DivideByZeroException(); var (d, t, _) = ExtendedGCD(b, m); if (a % d != 0) return null; if (d < 0) (d, t) = (-d, -t); var dm = m / d; var y = (long)((Int128)a / d * t % dm); if (y < 0) y += dm; return y; } }