結果
問題 |
No.3044 よくあるカエルさん
|
ユーザー |
|
提出日時 | 2025-02-28 22:51:23 |
言語 | C# (.NET 8.0.404) |
結果 |
AC
|
実行時間 | 184 ms / 2,000 ms |
コード長 | 4,426 bytes |
コンパイル時間 | 8,322 ms |
コンパイル使用メモリ | 171,164 KB |
実行使用メモリ | 189,868 KB |
最終ジャッジ日時 | 2025-02-28 22:51:35 |
合計ジャッジ時間 | 11,264 ms |
ジャッジサーバーID (参考情報) |
judge1 / judge5 |
(要ログイン)
ファイルパターン | 結果 |
---|---|
sample | AC * 1 |
other | AC * 20 |
コンパイルメッセージ
復元対象のプロジェクトを決定しています... /home/judge/data/code/main.csproj を復元しました (108 ミリ秒)。 main -> /home/judge/data/code/bin/Release/net8.0/main.dll main -> /home/judge/data/code/bin/Release/net8.0/publish/
ソースコード
#nullable enable using System.Numerics; void Run() { var n = Int(); var t = Int(); var k = Int() - 1; var l = Int() - 1; long i6; { var m6 = new Matrix(new int[1, 1]); m6[0, 0] = 6; m6 = m6.Power(Matrix.p - 2); i6 = m6[0, 0]; } var v = new Matrix(new int[t, 1]); var a = new Matrix(new int[t, t]); v[0, 0] = 1; for (var i = 1; i < t; i++) a[i - 1, i] = 1; a[0, 0] = i6 * k; a[1, 0] = i6 * (l - k); a[t - 1, 0] = i6 * (6 - l); var mns = a.Power(n - 1) * v; var ans = mns[0, 0]; Out(ans); } #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(); } readonly struct Matrix : IAdditionOperators<Matrix, Matrix, Matrix>, IMultiplyOperators<Matrix, Matrix, Matrix> { long[,] V { get; init; } public long this[int i, int j] { get => V[i, j]; set { V[i, j] = Mod(value); } } public int X => V.GetLength(0); public int Y => V.GetLength(1); public const int p = 998244353; static long Mod(long v) { var res = v % p; if (res < 0) res += p; return res; } public Matrix(int[,] matrix) { var (x, y) = (matrix.GetLength(0), matrix.GetLength(1)); var v = new long[x, y]; for (var i = 0; i < x; i++) for (var j = 0; j < y; j++) v[i, j] = Mod(matrix[i, j]); V = v; } public static implicit operator Matrix(int[,] matrix) => new(matrix); static Matrix With(long[,] matrix) => new(){ V = matrix }; public static Matrix IdentityMatrix(int size) { var v = new long[size, size]; for (var i = 0; i < size; i++) v[i, i] = 1; return With(v); } public static Matrix operator +(Matrix a, Matrix b) { var (v, va, vb, x, y) = (new long[a.X, a.Y], a.V, b.V, a.X, a.Y); for (var i = 0; i < x; i++) for (var j = 0; j < y; j++) { var sum = va[i, j] + vb[i, j]; if (sum > p) sum -= p; v[i, j] = sum; } return With(v); } public static Matrix operator *(Matrix a, Matrix b) { var (v, va, vb, x, y, z) = (new long[a.X, b.Y], a.V, b.V, a.X, b.Y, a.Y); for (var i = 0; i < x; i++) for (var k = 0; k < z; k++) { var c = va[i, k]; if (c != 0) for (var j = 0; j < y; j++) v[i, j] += vb[k, j] * c % p; } for (var i = 0; i < x; i++) for (var j = 0; j < y; j++) v[i, j] = Mod(v[i, j]); return With(v); } public static Matrix operator *(Matrix a, long k) { var (v, va, x, y) = (new long[a.X, a.Y], a.V, a.X, a.Y); for (var i = 0; i < x; i++) for (var j = 0; j < y; j++) v[i, j] = va[i, j] * k % p; return With(v); } public Matrix Power(long k) { var c = IdentityMatrix(X); var c2 = this; while (k > 0) { if ((k & 1) > 0) c *= c2; c2 *= c2; k >>= 1; } return c; } }