#nullable enable using System.Numerics; void Run() { var n = Int(); var facz = new Int128[n + 1]; facz[0] = 1; for (var i = 1; i <= n; i++) facz[i] = facz[i - 1] * i; var fz = (n + 1).Repeat(() => Int128.Parse(String())); Array.Reverse(fz); var hz = new Int128[n + 1]; for (var i = 0; i <= n; i++) { var f = fz[i]; for (var j = i; j >= 0; j--) { hz[j] += facz[i] / (facz[j] * facz[i - j]) * f; f = -f; } } Array.Reverse(hz); Out(hz, " "); } #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<string> _input = Array.Empty<string>(); int _iter = 0; public string Next() { while (_iter >= _input.Length) (_input, _iter) = (Backend.ReadLine().Trim().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<object>(); 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<T>(this int time, Func<T> F) => Enumerable.Range(0, time).Select(_ => F()).ToArray(); }