/// <summary> /// Inits random en passant keys. /// </summary> /// <param name="random">The generator of the 64-bit integers.</param> public static void InitEnPassant(Random64 random) { EnPassant = new ulong[8]; for (var i = 0; i < 8; i++) { EnPassant[i] = random.Next(); } }
/// <summary> /// Inits random castling keys. /// </summary> /// <param name="random">The generator of the 64-bit integers.</param> public static void InitCastling(Random64 random) { Castling = new ulong[4]; for (var i = 0; i < 4; i++) { Castling[i] = random.Next(); } }
/// <summary> /// Inits random piece keys. /// </summary> /// <param name="random">The generator of the 64-bit integers.</param> public static void InitPieces(Random64 random) { Pieces = new ulong[64 * 12]; for (var i = 0; i < Pieces.Length; i++) { Pieces[i] = random.Next(); } }
/// <summary> /// Initializes a new instance of the <see cref="Bitboard"/> class. /// </summary> /// <param name="friendlyBoard">The friendly board.</param> public Bitboard(FriendlyBoard friendlyBoard) : this() { Pieces = friendlyBoard.GetPiecesArray(); CastlingPossibility = friendlyBoard.GetCastlingPossibilityArray(); CastlingDone = friendlyBoard.GetCastlingDoneArray(); EnPassant = friendlyBoard.GetEnPassantArray(); Occupancy = CalculateOccupancy(); Calculate(GeneratorMode.CalculateAttacks, false); IncEvaluation = new IncrementalEvaluationData(GetDetailedEvaluation()); ClearCalculatedData(); Hash = GetNewHash(); CalculateGamePhase(); var random64 = new Random64(); for (var i = 0; i < History.Length; i++) { History[i] = random64.Next(); } }
/// <summary> /// Generates a random magic key. /// </summary> /// <remarks> /// Experiments has shown that the best magic keys have a small number of set bits. The simplest method /// is "and" operation on three 64-bit random numbers. /// </remarks> /// <returns>The random magic key.</returns> private ulong GenerateRandomKey() { return(_random64.Next() & _random64.Next() & _random64.Next()); }
public static void Main(string[] args) { Console.OutputEncoding = System.Text.Encoding.UTF8; Console.Clear(); // Använder UInt64, ulong. List <ulong> t1 = new List <ulong>(); // Ineffektivt men för tydlighetens skull List <ulong> Pi_L = new List <ulong>() // 10000 decimaler av pi { 3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5, 8, 9, 7, 9, 3, 2, 3, 8, 4, 6, 2, 6, 4, 3, 3, 8, 3, 2, 7, 9, 5, 0, 2, 8, 8, 4, 1, 9, 7, 1, 6, 9, 3, 9, 9, 3, 7, 5, 1, 0, 5, 8, 2, 0, 9, 7, 4, 9, 4, 4, 5, 9, 2, 3, 0, 7, 8, 1, 6, 4, 0, 6, 2, 8, 6, 2, 0, 8, 9, 9, 8, 6, 2, 8, 0, 3, 4, 8, 2, 5, 3, 4, 2, 1, 1, 7, 0, 6, 7, 9, 8, 2, 1, 4, 8, 0, 8, 6, 5, 1, 3, 2, 8, 2, 3, 0, 6, 6, 4, 7, 0, 9, 3, 8, 4, 4, 6, 0, 9, 5, 5, 0, 5, 8, 2, 2, 3, 1, 7, 2, 5, 3, 5, 9, 4, 0, 8, 1, 2, 8, 4, 8, 1, 1, 1, 7, 4, 5, 0, 2, 8, 4, 1, 0, 2, 7, 0, 1, 9, 3, 8, 5, 2, 1, 1, 0, 5, 5, 5, 9, 6, 4, 4, 6, 2, 2, 9, 4, 8, 9, 5, 4, 9, 3, 0, 3, 8, 1, 9, 6, 4, 4, 2, 8, 8, 1, 0, 9, 7, 5, 6, 6, 5, 9, 3, 3, 4, 4, 6, 1, 2, 8, 4, 7, 5, 6, 4, 8, 2, 3, 3, 7, 8, 6, 7, 8, 3, 1, 6, 5, 2, 7, 1, 2, 0, 1, 9, 0, 9, 1, 4, 5, 6, 4, 8, 5, 6, 6, 9, 2, 3, 4, 6, 0, 3, 4, 8, 6, 1, 0, 4, 5, 4, 3, 2, 6, 6, 4, 8, 2, 1, 3, 3, 9, 3, 6, 0, 7, 2, 6, 0, 2, 4, 9, 1, 4, 1, 2, 7, 3, 7, 2, 4, 5, 8, 7, 0, 0, 6, 6, 0, 6, 3, 1, 5, 5, 8, 8, 1, 7, 4, 8, 8, 1, 5, 2, 0, 9, 2, 0, 9, 6, 2, 8, 2, 9, 2, 5, 4, 0, 9, 1, 7, 1, 5, 3, 6, 4, 3, 6, 7, 8, 9, 2, 5, 9, 0, 3, 6, 0, 0, 1, 1, 3, 3, 0, 5, 3, 0, 5, 4, 8, 8, 2, 0, 4, 6, 6, 5, 2, 1, 3, 8, 4, 1, 4, 6, 9, 5, 1, 9, 4, 1, 5, 1, 1, 6, 0, 9, 4, 3, 3, 0, 5, 7, 2, 7, 0, 3, 6, 5, 7, 5, 9, 5, 9, 1, 9, 5, 3, 0, 9, 2, 1, 8, 6, 1, 1, 7, 3, 8, 1, 9, 3, 2, 6, 1, 1, 7, 9, 3, 1, 0, 5, 1, 1, 8, 5, 4, 8, 0, 7, 4, 4, 6, 2, 3, 7, 9, 9, 6, 2, 7, 4, 9, 5, 6, 7, 3, 5, 1, 8, 8, 5, 7, 5, 2, 7, 2, 4, 8, 9, 1, 2, 2, 7, 9, 3, 8, 1, 8, 3, 0, 1, 1, 9, 4, 9, 1, 2, 9, 8, 3, 3, 6, 7, 3, 3, 6, 2, 4, 4, 0, 6, 5, 6, 6, 4, 3, 0, 8, 6, 0, 2, 1, 3, 9, 4, 9, 4, 6, 3, 9, 5, 2, 2, 4, 7, 3, 7, 1, 9, 0, 7, 0, 2, 1, 7, 9, 8, 6, 0, 9, 4, 3, 7, 0, 2, 7, 7, 0, 5, 3, 9, 2, 1, 7, 1, 7, 6, 2, 9, 3, 1, 7, 6, 7, 5, 2, 3, 8, 4, 6, 7, 4, 8, 1, 8, 4, 6, 7, 6, 6, 9, 4, 0, 5, 1, 3, 2, 0, 0, 0, 5, 6, 8, 1, 2, 7, 1, 4, 5, 2, 6, 3, 5, 6, 0, 8, 2, 7, 7, 8, 5, 7, 7, 1, 3, 4, 2, 7, 5, 7, 7, 8, 9, 6, 0, 9, 1, 7, 3, 6, 3, 7, 1, 7, 8, 7, 2, 1, 4, 6, 8, 4, 4, 0, 9, 0, 1, 2, 2, 4, 9, 5, 3, 4, 3, 0, 1, 4, 6, 5, 4, 9, 5, 8, 5, 3, 7, 1, 0, 5, 0, 7, 9, 2, 2, 7, 9, 6, 8, 9, 2, 5, 8, 9, 2, 3, 5, 4, 2, 0, 1, 9, 9, 5, 6, 1, 1, 2, 1, 2, 9, 0, 2, 1, 9, 6, 0, 8, 6, 4, 0, 3, 4, 4, 1, 8, 1, 5, 9, 8, 1, 3, 6, 2, 9, 7, 7, 4, 7, 7, 1, 3, 0, 9, 9, 6, 0, 5, 1, 8, 7, 0, 7, 2, 1, 1, 3, 4, 9, 9, 9, 9, 9, 9, 8, 3, 7, 2, 9, 7, 8, 0, 4, 9, 9, 5, 1, 0, 5, 9, 7, 3, 1, 7, 3, 2, 8, 1, 6, 0, 9, 6, 3, 1, 8, 5, 9, 5, 0, 2, 4, 4, 5, 9, 4, 5, 5, 3, 4, 6, 9, 0, 8, 3, 0, 2, 6, 4, 2, 5, 2, 2, 3, 0, 8, 2, 5, 3, 3, 4, 4, 6, 8, 5, 0, 3, 5, 2, 6, 1, 9, 3, 1, 1, 8, 8, 1, 7, 1, 0, 1, 0, 0, 0, 3, 1, 3, 7, 8, 3, 8, 7, 5, 2, 8, 8, 6, 5, 8, 7, 5, 3, 3, 2, 0, 8, 3, 8, 1, 4, 2, 0, 6, 1, 7, 1, 7, 7, 6, 6, 9, 1, 4, 7, 3, 0, 3, 5, 9, 8, 2, 5, 3, 4, 9, 0, 4, 2, 8, 7, 5, 5, 4, 6, 8, 7, 3, 1, 1, 5, 9, 5, 6, 2, 8, 6, 3, 8, 8, 2, 3, 5, 3, 7, 8, 7, 5, 9, 3, 7, 5, 1, 9, 5, 7, 7, 8, 1, 8, 5, 7, 7, 8, 0, 5, 3, 2, 1, 7, 1, 2, 2, 6, 8, 0, 6, 6, 1, 3, 0, 0, 1, 9, 2, 7, 8, 7, 6, 6, 1, 1, 1, 9, 5, 9, 0, 9, 2, 1, 6, 4, 2, 0, 1, 9, 8, 9, 3, 8, 0, 9, 5, 2, 5, 7, 2, 0, 1, 0, 6, 5, 4, 8, 5, 8, 6, 3, 2, 7, 8, 8, 6, 5, 9, 3, 6, 1, 5, 3, 3, 8, 1, 8, 2, 7, 9, 6, 8, 2, 3, 0, 3, 0, 1, 9, 5, 2, 0, 3, 5, 3, 0, 1, 8, 5, 2, 9, 6, 8, 9, 9, 5, 7, 7, 3, 6, 2, 2, 5, 9, 9, 4, 1, 3, 8, 9, 1, 2, 4, 9, 7, 2, 1, 7, 7, 5, 2, 8, 3, 4, 7, 9, 1, 3, 1, 5, 1, 5, 5, 7, 4, 8, 5, 7, 2, 4, 2, 4, 5, 4, 1, 5, 0, 6, 9, 5, 9, 5, 0, 8, 2, 9, 5, 3, 3, 1, 1, 6, 8, 6, 1, 7, 2, 7, 8, 5, 5, 8, 8, 9, 0, 7, 5, 0, 9, 8, 3, 8, 1, 7, 5, 4, 6, 3, 7, 4, 6, 4, 9, 3, 9, 3, 1, 9, 2, 5, 5, 0, 6, 0, 4, 0, 0, 9, 2, 7, 7, 0, 1, 6, 7, 1, 1, 3, 9, 0, 0, 9, 8, 4, 8, 8, 2, 4, 0, 1, 2, 8, 5, 8, 3, 6, 1, 6, 0, 3, 5, 6, 3, 7, 0, 7, 6, 6, 0, 1, 0, 4, 7, 1, 0, 1, 8, 1, 9, 4, 2, 9, 5, 5, 5, 9, 6, 1, 9, 8, 9, 4, 6, 7, 6, 7, 8, 3, 7, 4, 4, 9, 4, 4, 8, 2, 5, 5, 3, 7, 9, 7, 7, 4, 7, 2, 6, 8, 4, 7, 1, 0, 4, 0, 4, 7, 5, 3, 4, 6, 4, 6, 2, 0, 8, 0, 4, 6, 6, 8, 4, 2, 5, 9, 0, 6, 9, 4, 9, 1, 2, 9, 3, 3, 1, 3, 6, 7, 7, 0, 2, 8, 9, 8, 9, 1, 5, 2, 1, 0, 4, 7, 5, 2, 1, 6, 2, 0, 5, 6, 9, 6, 6, 0, 2, 4, 0, 5, 8, 0, 3, 8, 1, 5, 0, 1, 9, 3, 5, 1, 1, 2, 5, 3, 3, 8, 2, 4, 3, 0, 0, 3, 5, 5, 8, 7, 6, 4, 0, 2, 4, 7, 4, 9, 6, 4, 7, 3, 2, 6, 3, 9, 1, 4, 1, 9, 9, 2, 7, 2, 6, 0, 4, 2, 6, 9, 9, 2, 2, 7, 9, 6, 7, 8, 2, 3, 5, 4, 7, 8, 1, 6, 3, 6, 0, 0, 9, 3, 4, 1, 7, 2, 1, 6, 4, 1, 2, 1, 9, 9, 2, 4, 5, 8, 6, 3, 1, 5, 0, 3, 0, 2, 8, 6, 1, 8, 2, 9, 7, 4, 5, 5, 5, 7, 0, 6, 7, 4, 9, 8, 3, 8, 5, 0, 5, 4, 9, 4, 5, 8, 8, 5, 8, 6, 9, 2, 6, 9, 9, 5, 6, 9, 0, 9, 2, 7, 2, 1, 0, 7, 9, 7, 5, 0, 9, 3, 0, 2, 9, 5, 5, 3, 2, 1, 1, 6, 5, 3, 4, 4, 9, 8, 7, 2, 0, 2, 7, 5, 5, 9, 6, 0, 2, 3, 6, 4, 8, 0, 6, 6, 5, 4, 9, 9, 1, 1, 9, 8, 8, 1, 8, 3, 4, 7, 9, 7, 7, 5, 3, 5, 6, 6, 3, 6, 9, 8, 0, 7, 4, 2, 6, 5, 4, 2, 5, 2, 7, 8, 6, 2, 5, 5, 1, 8, 1, 8, 4, 1, 7, 5, 7, 4, 6, 7, 2, 8, 9, 0, 9, 7, 7, 7, 7, 2, 7, 9, 3, 8, 0, 0, 0, 8, 1, 6, 4, 7, 0, 6, 0, 0, 1, 6, 1, 4, 5, 2, 4, 9, 1, 9, 2, 1, 7, 3, 2, 1, 7, 2, 1, 4, 7, 7, 2, 3, 5, 0, 1, 4, 1, 4, 4, 1, 9, 7, 3, 5, 6, 8, 5, 4, 8, 1, 6, 1, 3, 6, 1, 1, 5, 7, 3, 5, 2, 5, 5, 2, 1, 3, 3, 4, 7, 5, 7, 4, 1, 8, 4, 9, 4, 6, 8, 4, 3, 8, 5, 2, 3, 3, 2, 3, 9, 0, 7, 3, 9, 4, 1, 4, 3, 3, 3, 4, 5, 4, 7, 7, 6, 2, 4, 1, 6, 8, 6, 2, 5, 1, 8, 9, 8, 3, 5, 6, 9, 4, 8, 5, 5, 6, 2, 0, 9, 9, 2, 1, 9, 2, 2, 2, 1, 8, 4, 2, 7, 2, 5, 5, 0, 2, 5, 4, 2, 5, 6, 8, 8, 7, 6, 7, 1, 7, 9, 0, 4, 9, 4, 6, 0, 1, 6, 5, 3, 4, 6, 6, 8, 0, 4, 9, 8, 8, 6, 2, 7, 2, 3, 2, 7, 9, 1, 7, 8, 6, 0, 8, 5, 7, 8, 4, 3, 8, 3, 8, 2, 7, 9, 6, 7, 9, 7, 6, 6, 8, 1, 4, 5, 4, 1, 0, 0, 9, 5, 3, 8, 8, 3, 7, 8, 6, 3, 6, 0, 9, 5, 0, 6, 8, 0, 0, 6, 4, 2, 2, 5, 1, 2, 5, 2, 0, 5, 1, 1, 7, 3, 9, 2, 9, 8, 4, 8, 9, 6, 0, 8, 4, 1, 2, 8, 4, 8, 8, 6, 2, 6, 9, 4, 5, 6, 0, 4, 2, 4, 1, 9, 6, 5, 2, 8, 5, 0, 2, 2, 2, 1, 0, 6, 6, 1, 1, 8, 6, 3, 0, 6, 7, 4, 4, 2, 7, 8, 6, 2, 2, 0, 3, 9, 1, 9, 4, 9, 4, 5, 0, 4, 7, 1, 2, 3, 7, 1, 3, 7, 8, 6, 9, 6, 0, 9, 5, 6, 3, 6, 4, 3, 7, 1, 9, 1, 7, 2, 8, 7, 4, 6, 7, 7, 6, 4, 6, 5, 7, 5, 7, 3, 9, 6, 2, 4, 1, 3, 8, 9, 0, 8, 6, 5, 8, 3, 2, 6, 4, 5, 9, 9, 5, 8, 1, 3, 3, 9, 0, 4, 7, 8, 0, 2, 7, 5, 9, 0, 0, 9, 9, 4, 6, 5, 7, 6, 4, 0, 7, 8, 9, 5, 1, 2, 6, 9, 4, 6, 8, 3, 9, 8, 3, 5, 2, 5, 9, 5, 7, 0, 9, 8, 2, 5, 8, 2, 2, 6, 2, 0, 5, 2, 2, 4, 8, 9, 4, 0, 7, 7, 2, 6, 7, 1, 9, 4, 7, 8, 2, 6, 8, 4, 8, 2, 6, 0, 1, 4, 7, 6, 9, 9, 0, 9, 0, 2, 6, 4, 0, 1, 3, 6, 3, 9, 4, 4, 3, 7, 4, 5, 5, 3, 0, 5, 0, 6, 8, 2, 0, 3, 4, 9, 6, 2, 5, 2, 4, 5, 1, 7, 4, 9, 3, 9, 9, 6, 5, 1, 4, 3, 1, 4, 2, 9, 8, 0, 9, 1, 9, 0, 6, 5, 9, 2, 5, 0, 9, 3, 7, 2, 2, 1, 6, 9, 6, 4, 6, 1, 5, 1, 5, 7, 0, 9, 8, 5, 8, 3, 8, 7, 4, 1, 0, 5, 9, 7, 8, 8, 5, 9, 5, 9, 7, 7, 2, 9, 7, 5, 4, 9, 8, 9, 3, 0, 1, 6, 1, 7, 5, 3, 9, 2, 8, 4, 6, 8, 1, 3, 8, 2, 6, 8, 6, 8, 3, 8, 6, 8, 9, 4, 2, 7, 7, 4, 1, 5, 5, 9, 9, 1, 8, 5, 5, 9, 2, 5, 2, 4, 5, 9, 5, 3, 9, 5, 9, 4, 3, 1, 0, 4, 9, 9, 7, 2, 5, 2, 4, 6, 8, 0, 8, 4, 5, 9, 8, 7, 2, 7, 3, 6, 4, 4, 6, 9, 5, 8, 4, 8, 6, 5, 3, 8, 3, 6, 7, 3, 6, 2, 2, 2, 6, 2, 6, 0, 9, 9, 1, 2, 4, 6, 0, 8, 0, 5, 1, 2, 4, 3, 8, 8, 4, 3, 9, 0, 4, 5, 1, 2, 4, 4, 1, 3, 6, 5, 4, 9, 7, 6, 2, 7, 8, 0, 7, 9, 7, 7, 1, 5, 6, 9, 1, 4, 3, 5, 9, 9, 7, 7, 0, 0, 1, 2, 9, 6, 1, 6, 0, 8, 9, 4, 4, 1, 6, 9, 4, 8, 6, 8, 5, 5, 5, 8, 4, 8, 4, 0, 6, 3, 5, 3, 4, 2, 2, 0, 7, 2, 2, 2, 5, 8, 2, 8, 4, 8, 8, 6, 4, 8, 1, 5, 8, 4, 5, 6, 0, 2, 8, 5, 0, 6, 0, 1, 6, 8, 4, 2, 7, 3, 9, 4, 5, 2, 2, 6, 7, 4, 6, 7, 6, 7, 8, 8, 9, 5, 2, 5, 2, 1, 3, 8, 5, 2, 2, 5, 4, 9, 9, 5, 4, 6, 6, 6, 7, 2, 7, 8, 2, 3, 9, 8, 6, 4, 5, 6, 5, 9, 6, 1, 1, 6, 3, 5, 4, 8, 8, 6, 2, 3, 0, 5, 7, 7, 4, 5, 6, 4, 9, 8, 0, 3, 5, 5, 9, 3, 6, 3, 4, 5, 6, 8, 1, 7, 4, 3, 2, 4, 1, 1, 2, 5, 1, 5, 0, 7, 6, 0, 6, 9, 4, 7, 9, 4, 5, 1, 0, 9, 6, 5, 9, 6, 0, 9, 4, 0, 2, 5, 2, 2, 8, 8, 7, 9, 7, 1, 0, 8, 9, 3, 1, 4, 5, 6, 6, 9, 1, 3, 6, 8, 6, 7, 2, 2, 8, 7, 4, 8, 9, 4, 0, 5, 6, 0, 1, 0, 1, 5, 0, 3, 3, 0, 8, 6, 1, 7, 9, 2, 8, 6, 8, 0, 9, 2, 0, 8, 7, 4, 7, 6, 0, 9, 1, 7, 8, 2, 4, 9, 3, 8, 5, 8, 9, 0, 0, 9, 7, 1, 4, 9, 0, 9, 6, 7, 5, 9, 8, 5, 2, 6, 1, 3, 6, 5, 5, 4, 9, 7, 8, 1, 8, 9, 3, 1, 2, 9, 7, 8, 4, 8, 2, 1, 6, 8, 2, 9, 9, 8, 9, 4, 8, 7, 2, 2, 6, 5, 8, 8, 0, 4, 8, 5, 7, 5, 6, 4, 0, 1, 4, 2, 7, 0, 4, 7, 7, 5, 5, 5, 1, 3, 2, 3, 7, 9, 6, 4, 1, 4, 5, 1, 5, 2, 3, 7, 4, 6, 2, 3, 4, 3, 6, 4, 5, 4, 2, 8, 5, 8, 4, 4, 4, 7, 9, 5, 2, 6, 5, 8, 6, 7, 8, 2, 1, 0, 5, 1, 1, 4, 1, 3, 5, 4, 7, 3, 5, 7, 3, 9, 5, 2, 3, 1, 1, 3, 4, 2, 7, 1, 6, 6, 1, 0, 2, 1, 3, 5, 9, 6, 9, 5, 3, 6, 2, 3, 1, 4, 4, 2, 9, 5, 2, 4, 8, 4, 9, 3, 7, 1, 8, 7, 1, 1, 0, 1, 4, 5, 7, 6, 5, 4, 0, 3, 5, 9, 0, 2, 7, 9, 9, 3, 4, 4, 0, 3, 7, 4, 2, 0, 0, 7, 3, 1, 0, 5, 7, 8, 5, 3, 9, 0, 6, 2, 1, 9, 8, 3, 8, 7, 4, 4, 7, 8, 0, 8, 4, 7, 8, 4, 8, 9, 6, 8, 3, 3, 2, 1, 4, 4, 5, 7, 1, 3, 8, 6, 8, 7, 5, 1, 9, 4, 3, 5, 0, 6, 4, 3, 0, 2, 1, 8, 4, 5, 3, 1, 9, 1, 0, 4, 8, 4, 8, 1, 0, 0, 5, 3, 7, 0, 6, 1, 4, 6, 8, 0, 6, 7, 4, 9, 1, 9, 2, 7, 8, 1, 9, 1, 1, 9, 7, 9, 3, 9, 9, 5, 2, 0, 6, 1, 4, 1, 9, 6, 6, 3, 4, 2, 8, 7, 5, 4, 4, 4, 0, 6, 4, 3, 7, 4, 5, 1, 2, 3, 7, 1, 8, 1, 9, 2, 1, 7, 9, 9, 9, 8, 3, 9, 1, 0, 1, 5, 9, 1, 9, 5, 6, 1, 8, 1, 4, 6, 7, 5, 1, 4, 2, 6, 9, 1, 2, 3, 9, 7, 4, 8, 9, 4, 0, 9, 0, 7, 1, 8, 6, 4, 9, 4, 2, 3, 1, 9, 6, 1, 5, 6, 7, 9, 4, 5, 2, 0, 8, 0, 9, 5, 1, 4, 6, 5, 5, 0, 2, 2, 5, 2, 3, 1, 6, 0, 3, 8, 8, 1, 9, 3, 0, 1, 4, 2, 0, 9, 3, 7, 6, 2, 1, 3, 7, 8, 5, 5, 9, 5, 6, 6, 3, 8, 9, 3, 7, 7, 8, 7, 0, 8, 3, 0, 3, 9, 0, 6, 9, 7, 9, 2, 0, 7, 7, 3, 4, 6, 7, 2, 2, 1, 8, 2, 5, 6, 2, 5, 9, 9, 6, 6, 1, 5, 0, 1, 4, 2, 1, 5, 0, 3, 0, 6, 8, 0, 3, 8, 4, 4, 7, 7, 3, 4, 5, 4, 9, 2, 0, 2, 6, 0, 5, 4, 1, 4, 6, 6, 5, 9, 2, 5, 2, 0, 1, 4, 9, 7, 4, 4, 2, 8, 5, 0, 7, 3, 2, 5, 1, 8, 6, 6, 6, 0, 0, 2, 1, 3, 2, 4, 3, 4, 0, 8, 8, 1, 9, 0, 7, 1, 0, 4, 8, 6, 3, 3, 1, 7, 3, 4, 6, 4, 9, 6, 5, 1, 4, 5, 3, 9, 0, 5, 7, 9, 6, 2, 6, 8, 5, 6, 1, 0, 0, 5, 5, 0, 8, 1, 0, 6, 6, 5, 8, 7, 9, 6, 9, 9, 8, 1, 6, 3, 5, 7, 4, 7, 3, 6, 3, 8, 4, 0, 5, 2, 5, 7, 1, 4, 5, 9, 1, 0, 2, 8, 9, 7, 0, 6, 4, 1, 4, 0, 1, 1, 0, 9, 7, 1, 2, 0, 6, 2, 8, 0, 4, 3, 9, 0, 3, 9, 7, 5, 9, 5, 1, 5, 6, 7, 7, 1, 5, 7, 7, 0, 0, 4, 2, 0, 3, 3, 7, 8, 6, 9, 9, 3, 6, 0, 0, 7, 2, 3, 0, 5, 5, 8, 7, 6, 3, 1, 7, 6, 3, 5, 9, 4, 2, 1, 8, 7, 3, 1, 2, 5, 1, 4, 7, 1, 2, 0, 5, 3, 2, 9, 2, 8, 1, 9, 1, 8, 2, 6, 1, 8, 6, 1, 2, 5, 8, 6, 7, 3, 2, 1, 5, 7, 9, 1, 9, 8, 4, 1, 4, 8, 4, 8, 8, 2, 9, 1, 6, 4, 4, 7, 0, 6, 0, 9, 5, 7, 5, 2, 7, 0, 6, 9, 5, 7, 2, 2, 0, 9, 1, 7, 5, 6, 7, 1, 1, 6, 7, 2, 2, 9, 1, 0, 9, 8, 1, 6, 9, 0, 9, 1, 5, 2, 8, 0, 1, 7, 3, 5, 0, 6, 7, 1, 2, 7, 4, 8, 5, 8, 3, 2, 2, 2, 8, 7, 1, 8, 3, 5, 2, 0, 9, 3, 5, 3, 9, 6, 5, 7, 2, 5, 1, 2, 1, 0, 8, 3, 5, 7, 9, 1, 5, 1, 3, 6, 9, 8, 8, 2, 0, 9, 1, 4, 4, 4, 2, 1, 0, 0, 6, 7, 5, 1, 0, 3, 3, 4, 6, 7, 1, 1, 0, 3, 1, 4, 1, 2, 6, 7, 1, 1, 1, 3, 6, 9, 9, 0, 8, 6, 5, 8, 5, 1, 6, 3, 9, 8, 3, 1, 5, 0, 1, 9, 7, 0, 1, 6, 5, 1, 5, 1, 1, 6, 8, 5, 1, 7, 1, 4, 3, 7, 6, 5, 7, 6, 1, 8, 3, 5, 1, 5, 5, 6, 5, 0, 8, 8, 4, 9, 0, 9, 9, 8, 9, 8, 5, 9, 9, 8, 2, 3, 8, 7, 3, 4, 5, 5, 2, 8, 3, 3, 1, 6, 3, 5, 5, 0, 7, 6, 4, 7, 9, 1, 8, 5, 3, 5, 8, 9, 3, 2, 2, 6, 1, 8, 5, 4, 8, 9, 6, 3, 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2, 3, 1, 9, 8, 9, 8, 7, 5, 7, 1, 4, 1, 5, 9, 5, 7, 8, 1, 1, 1, 9, 6, 3, 5, 8, 3, 3, 0, 0, 5, 9, 4, 0, 8, 7, 3, 0, 6, 8, 1, 2, 1, 6, 0, 2, 8, 7, 6, 4, 9, 6, 2, 8, 6, 7, 4, 4, 6, 0, 4, 7, 7, 4, 6, 4, 9, 1, 5, 9, 9, 5, 0, 5, 4, 9, 7, 3, 7, 4, 2, 5, 6, 2, 6, 9, 0, 1, 0, 4, 9, 0, 3, 7, 7, 8, 1, 9, 8, 6, 8, 3, 5, 9, 3, 8, 1, 4, 6, 5, 7, 4, 1, 2, 6, 8, 0, 4, 9, 2, 5, 6, 4, 8, 7, 9, 8, 5, 5, 6, 1, 4, 5, 3, 7, 2, 3, 4, 7, 8, 6, 7, 3, 3, 0, 3, 9, 0, 4, 6, 8, 8, 3, 8, 3, 4, 3, 6, 3, 4, 6, 5, 5, 3, 7, 9, 4, 9, 8, 6, 4, 1, 9, 2, 7, 0, 5, 6, 3, 8, 7, 2, 9, 3, 1, 7, 4, 8, 7, 2, 3, 3, 2, 0, 8, 3, 7, 6, 0, 1, 1, 2, 3, 0, 2, 9, 9, 1, 1, 3, 6, 7, 9, 3, 8, 6, 2, 7, 0, 8, 9, 4, 3, 8, 7, 9, 9, 3, 6, 2, 0, 1, 6, 2, 9, 5, 1, 5, 4, 1, 3, 3, 7, 1, 4, 2, 4, 8, 9, 2, 8, 3, 0, 7, 2, 2, 0, 1, 2, 6, 9, 0, 1, 4, 7, 5, 4, 6, 6, 8, 4, 7, 6, 5, 3, 5, 7, 6, 1, 6, 4, 7, 7, 3, 7, 9, 4, 6, 7, 5, 2, 0, 0, 4, 9, 0, 7, 5, 7, 1, 5, 5, 5, 2, 7, 8, 1, 9, 6, 5, 3, 6, 2, 1, 3, 2, 3, 9, 2, 6, 4, 0, 6, 1, 6, 0, 1, 3, 6, 3, 5, 8, 1, 5, 5, 9, 0, 7, 4, 2, 2, 0, 2, 0, 2, 0, 3, 1, 8, 7, 2, 7, 7, 6, 0, 5, 2, 7, 7, 2, 1, 9, 0, 0, 5, 5, 6, 1, 4, 8, 4, 2, 5, 5, 5, 1, 8, 7, 9, 2, 5, 3, 0, 3, 4, 3, 5, 1, 3, 9, 8, 4, 4, 2, 5, 3, 2, 2, 3, 4, 1, 5, 7, 6, 2, 3, 3, 6, 1, 0, 6, 4, 2, 5, 0, 6, 3, 9, 0, 4, 9, 7, 5, 0, 0, 8, 6, 5, 6, 2, 7, 1, 0, 9, 5, 3, 5, 9, 1, 9, 4, 6, 5, 8, 9, 7, 5, 1, 4, 1, 3, 1, 0, 3, 4, 8, 2, 2, 7, 6, 9, 3, 0, 6, 2, 4, 7, 4, 3, 5, 3, 6, 3, 2, 5, 6, 9, 1, 6, 0, 7, 8, 1, 5, 4, 7, 8, 1, 8, 1, 1, 5, 2, 8, 4, 3, 6, 6, 7, 9, 5, 7, 0, 6, 1, 1, 0, 8, 6, 1, 5, 3, 3, 1, 5, 0, 4, 4, 5, 2, 1, 2, 7, 4, 7, 3, 9, 2, 4, 5, 4, 4, 9, 4, 5, 4, 2, 3, 6, 8, 2, 8, 8, 6, 0, 6, 1, 3, 4, 0, 8, 4, 1, 4, 8, 6, 3, 7, 7, 6, 7, 0, 0, 9, 6, 1, 2, 0, 7, 1, 5, 1, 2, 4, 9, 1, 4, 0, 4, 3, 0, 2, 7, 2, 5, 3, 8, 6, 0, 7, 6, 4, 8, 2, 3, 6, 3, 4, 1, 4, 3, 3, 4, 6, 2, 3, 5, 1, 8, 9, 7, 5, 7, 6, 6, 4, 5, 2, 1, 6, 4, 1, 3, 7, 6, 7, 9, 6, 9, 0, 3, 1, 4, 9, 5, 0, 1, 9, 1, 0, 8, 5, 7, 5, 9, 8, 4, 4, 2, 3, 9, 1, 9, 8, 6, 2, 9, 1, 6, 4, 2, 1, 9, 3, 9, 9, 4, 9, 0, 7, 2, 3, 6, 2, 3, 4, 6, 4, 6, 8, 4, 4, 1, 1, 7, 3, 9, 4, 0, 3, 2, 6, 5, 9, 1, 8, 4, 0, 4, 4, 3, 7, 8, 0, 5, 1, 3, 3, 3, 8, 9, 4, 5, 2, 5, 7, 4, 2, 3, 9, 9, 5, 0, 8, 2, 9, 6, 5, 9, 1, 2, 2, 8, 5, 0, 8, 5, 5, 5, 8, 2, 1, 5, 7, 2, 5, 0, 3, 1, 0, 7, 1, 2, 5, 7, 0, 1, 2, 6, 6, 8, 3, 0, 2, 4, 0, 2, 9, 2, 9, 5, 2, 5, 2, 2, 0, 1, 1, 8, 7, 2, 6, 7, 6, 7, 5, 6, 2, 2, 0, 4, 1, 5, 4, 2, 0, 5, 1, 6, 1, 8, 4, 1, 6, 3, 4, 8, 4, 7, 5, 6, 5, 1, 6, 9, 9, 9, 8, 1, 1, 6, 1, 4, 1, 0, 1, 0, 0, 2, 9, 9, 6, 0, 7, 8, 3, 8, 6, 9, 0, 9, 2, 9, 1, 6, 0, 3, 0, 2, 8, 8, 4, 0, 0, 2, 6, 9, 1, 0, 4, 1, 4, 0, 7, 9, 2, 8, 8, 6, 2, 1, 5, 0, 7, 8, 4, 2, 4, 5, 1, 6, 7, 0, 9, 0, 8, 7, 0, 0, 0, 6, 9, 9, 2, 8, 2, 1, 2, 0, 6, 6, 0, 4, 1, 8, 3, 7, 1, 8, 0, 6, 5, 3, 5, 5, 6, 7, 2, 5, 2, 5, 3, 2, 5, 6, 7, 5, 3, 2, 8, 6, 1, 2, 9, 1, 0, 4, 2, 4, 8, 7, 7, 6, 1, 8, 2, 5, 8, 2, 9, 7, 6, 5, 1, 5, 7, 9, 5, 9, 8, 4, 7, 0, 3, 5, 6, 2, 2, 2, 6, 2, 9, 3, 4, 8, 6, 0, 0, 3, 4, 1, 5, 8, 7, 2, 2, 9, 8, 0, 5, 3, 4, 9, 8, 9, 6, 5, 0, 2, 2, 6, 2, 9, 1, 7, 4, 8, 7, 8, 8, 2, 0, 2, 7, 3, 4, 2, 0, 9, 2, 2, 2, 2, 4, 5, 3, 3, 9, 8, 5, 6, 2, 6, 4, 7, 6, 6, 9, 1, 4, 9, 0, 5, 5, 6, 2, 8, 4, 2, 5, 0, 3, 9, 1, 2, 7, 5, 7, 7, 1, 0, 2, 8, 4, 0, 2, 7, 9, 9, 8, 0, 6, 6, 3, 6, 5, 8, 2, 5, 4, 8, 8, 9, 2, 6, 4, 8, 8, 0, 2, 5, 4, 5, 6, 6, 1, 0, 1, 7, 2, 9, 6, 7, 0, 2, 6, 6, 4, 0, 7, 6, 5, 5, 9, 0, 4, 2, 9, 0, 9, 9, 4, 5, 6, 8, 1, 5, 0, 6, 5, 2, 6, 5, 3, 0, 5, 3, 7, 1, 8, 2, 9, 4, 1, 2, 7, 0, 3, 3, 6, 9, 3, 1, 3, 7, 8, 5, 1, 7, 8, 6, 0, 9, 0, 4, 0, 7, 0, 8, 6, 6, 7, 1, 1, 4, 9, 6, 5, 5, 8, 3, 4, 3, 4, 3, 4, 7, 6, 9, 3, 3, 8, 5, 7, 8, 1, 7, 1, 1, 3, 8, 6, 4, 5, 5, 8, 7, 3, 6, 7, 8, 1, 2, 3, 0, 1, 4, 5, 8, 7, 6, 8, 7, 1, 2, 6, 6, 0, 3, 4, 8, 9, 1, 3, 9, 0, 9, 5, 6, 2, 0, 0, 9, 9, 3, 9, 3, 6, 1, 0, 3, 1, 0, 2, 9, 1, 6, 1, 6, 1, 5, 2, 8, 8, 1, 3, 8, 4, 3, 7, 9, 0, 9, 9, 0, 4, 2, 3, 1, 7, 4, 7, 3, 3, 6, 3, 9, 4, 8, 0, 4, 5, 7, 5, 9, 3, 1, 4, 9, 3, 1, 4, 0, 5, 2, 9, 7, 6, 3, 4, 7, 5, 7, 4, 8, 1, 1, 9, 3, 5, 6, 7, 0, 9, 1, 1, 0, 1, 3, 7, 7, 5, 1, 7, 2, 1, 0, 0, 8, 0, 3, 1, 5, 5, 9, 0, 2, 4, 8, 5, 3, 0, 9, 0, 6, 6, 9, 2, 0, 3, 7, 6, 7, 1, 9, 2, 2, 0, 3, 3, 2, 2, 9, 0, 9, 4, 3, 3, 4, 6, 7, 6, 8, 5, 1, 4, 2, 2, 1, 4, 4, 7, 7, 3, 7, 9, 3, 9, 3, 7, 5, 1, 7, 0, 3, 4, 4, 3, 6, 6, 1, 9, 9, 1, 0, 4, 0, 3, 3, 7, 5, 1, 1, 1, 7, 3, 5, 4, 7, 1, 9, 1, 8, 5, 5, 0, 4, 6, 4, 4, 9, 0, 2, 6, 3, 6, 5, 5, 1, 2, 8, 1, 6, 2, 2, 8, 8, 2, 4, 4, 6, 2, 5, 7, 5, 9, 1, 6, 3, 3, 3, 0, 3, 9, 1, 0, 7, 2, 2, 5, 3, 8, 3, 7, 4, 2, 1, 8, 2, 1, 4, 0, 8, 8, 3, 5, 0, 8, 6, 5, 7, 3, 9, 1, 7, 7, 1, 5, 0, 9, 6, 8, 2, 8, 8, 7, 4, 7, 8, 2, 6, 5, 6, 9, 9, 5, 9, 9, 5, 7, 4, 4, 9, 0, 6, 6, 1, 7, 5, 8, 3, 4, 4, 1, 3, 7, 5, 2, 2, 3, 9, 7, 0, 9, 6, 8, 3, 4, 0, 8, 0, 0, 5, 3, 5, 5, 9, 8, 4, 9, 1, 7, 5, 4, 1, 7, 3, 8, 1, 8, 8, 3, 9, 9, 9, 4, 4, 6, 9, 7, 4, 8, 6, 7, 6, 2, 6, 5, 5, 1, 6, 5, 8, 2, 7, 6, 5, 8, 4, 8, 3, 5, 8, 8, 4, 5, 3, 1, 4, 2, 7, 7, 5, 6, 8, 7, 9, 0, 0, 2, 9, 0, 9, 5, 1, 7, 0, 2, 8, 3, 5, 2, 9, 7, 1, 6, 3, 4, 4, 5, 6, 2, 1, 2, 9, 6, 4, 0, 4, 3, 5, 2, 3, 1, 1, 7, 6, 0, 0, 6, 6, 5, 1, 0, 1, 2, 4, 1, 2, 0, 0, 6, 5, 9, 7, 5, 5, 8, 5, 1, 2, 7, 6, 1, 7, 8, 5, 8, 3, 8, 2, 9, 2, 0, 4, 1, 9, 7, 4, 8, 4, 4, 2, 3, 6, 0, 8, 0, 0, 7, 1, 9, 3, 0, 4, 5, 7, 6, 1, 8, 9, 3, 2, 3, 4, 9, 2, 2, 9, 2, 7, 9, 6, 5, 0, 1, 9, 8, 7, 5, 1, 8, 7, 2, 1, 2, 7, 2, 6, 7, 5, 0, 7, 9, 8, 1, 2, 5, 5, 4, 7, 0, 9, 5, 8, 9, 0, 4, 5, 5, 6, 3, 5, 7, 9, 2, 1, 2, 2, 1, 0, 3, 3, 3, 4, 6, 6, 9, 7, 4, 9, 9, 2, 3, 5, 6, 3, 0, 2, 5, 4, 9, 4, 7, 8, 0, 2, 4, 9, 0, 1, 1, 4, 1, 9, 5, 2, 1, 2, 3, 8, 2, 8, 1, 5, 3, 0, 9, 1, 1, 4, 0, 7, 9, 0, 7, 3, 8, 6, 0, 2, 5, 1, 5, 2, 2, 7, 4, 2, 9, 9, 5, 8, 1, 8, 0, 7, 2, 4, 7, 1, 6, 2, 5, 9, 1, 6, 6, 8, 5, 4, 5, 1, 3, 3, 3, 1, 2, 3, 9, 4, 8, 0, 4, 9, 4, 7, 0, 7, 9, 1, 1, 9, 1, 5, 3, 2, 6, 7, 3, 4, 3, 0, 2, 8, 2, 4, 4, 1, 8, 6, 0, 4, 1, 4, 2, 6, 3, 6, 3, 9, 5, 4, 8, 0, 0, 0, 4, 4, 8, 0, 0, 2, 6, 7, 0, 4, 9, 6, 2, 4, 8, 2, 0, 1, 7, 9, 2, 8, 9, 6, 4, 7, 6, 6, 9, 7, 5, 8, 3, 1, 8, 3, 2, 7, 1, 3, 1, 4, 2, 5, 1, 7, 0, 2, 9, 6, 9, 2, 3, 4, 8, 8, 9, 6, 2, 7, 6, 6, 8, 4, 4, 0, 3, 2, 3, 2, 6, 0, 9, 2, 7, 5, 2, 4, 9, 6, 0, 3, 5, 7, 9, 9, 6, 4, 6, 9, 2, 5, 6, 5, 0, 4, 9, 3, 6, 8, 1, 8, 3, 6, 0, 9, 0, 0, 3, 2, 3, 8, 0, 9, 2, 9, 3, 4, 5, 9, 5, 8, 8, 9, 7, 0, 6, 9, 5, 3, 6, 5, 3, 4, 9, 4, 0, 6, 0, 3, 4, 0, 2, 1, 6, 6, 5, 4, 4, 3, 7, 5, 5, 8, 9, 0, 0, 4, 5, 6, 3, 2, 8, 8, 2, 2, 5, 0, 5, 4, 5, 2, 5, 5, 6, 4, 0, 5, 6, 4, 4, 8, 2, 4, 6, 5, 1, 5, 1, 8, 7, 5, 4, 7, 1, 1, 9, 6, 2, 1, 8, 4, 4, 3, 9, 6, 5, 8, 2, 5, 3, 3, 7, 5, 4, 3, 8, 8, 5, 6, 9, 0, 9, 4, 1, 1, 3, 0, 3, 1, 5, 0, 9, 5, 2, 6, 1, 7, 9, 3, 7, 8, 0, 0, 2, 9, 7, 4, 1, 2, 0, 7, 6, 6, 5, 1, 4, 7, 9, 3, 9, 4, 2, 5, 9, 0, 2, 9, 8, 9, 6, 9, 5, 9, 4, 6, 9, 9, 5, 5, 6, 5, 7, 6, 1, 2, 1, 8, 6, 5, 6, 1, 9, 6, 7, 3, 3, 7, 8, 6, 2, 3, 6, 2, 5, 6, 1, 2, 5, 2, 1, 6, 3, 2, 0, 8, 6, 2, 8, 6, 9, 2, 2, 2, 1, 0, 3, 2, 7, 4, 8, 8, 9, 2, 1, 8, 6, 5, 4, 3, 6, 4, 8, 0, 2, 2, 9, 6, 7, 8, 0, 7, 0, 5, 7, 6, 5, 6, 1, 5, 1, 4, 4, 6, 3, 2, 0, 4, 6, 9, 2, 7, 9, 0, 6, 8, 2, 1, 2, 0, 7, 3, 8, 8, 3, 7, 7, 8, 1, 4, 2, 3, 3, 5, 6, 2, 8, 2, 3, 6, 0, 8, 9, 6, 3, 2, 0, 8, 0, 6, 8, 2, 2, 2, 4, 6, 8, 0, 1, 2, 2, 4, 8, 2, 6, 1, 1, 7, 7, 1, 8, 5, 8, 9, 6, 3, 8, 1, 4, 0, 9, 1, 8, 3, 9, 0, 3, 6, 7, 3, 6, 7, 2, 2, 2, 0, 8, 8, 8, 3, 2, 1, 5, 1, 3, 7, 5, 5, 6, 0, 0, 3, 7, 2, 7, 9, 8, 3, 9, 4, 0, 0, 4, 1, 5, 2, 9, 7, 0, 0, 2, 8, 7, 8, 3, 0, 7, 6, 6, 7, 0, 9, 4, 4, 4, 7, 4, 5, 6, 0, 1, 3, 4, 5, 5, 6, 4, 1, 7, 2, 5, 4, 3, 7, 0, 9, 0, 6, 9, 7, 9, 3, 9, 6, 1, 2, 2, 5, 7, 1, 4, 2, 9, 8, 9, 4, 6, 7, 1, 5, 4, 3, 5, 7, 8, 4, 6, 8, 7, 8, 8, 6, 1, 4, 4, 4, 5, 8, 1, 2, 3, 1, 4, 5, 9, 3, 5, 7, 1, 9, 8, 4, 9, 2, 2, 5, 2, 8, 4, 7, 1, 6, 0, 5, 0, 4, 9, 2, 2, 1, 2, 4, 2, 4, 7, 0, 1, 4, 1, 2, 1, 4, 7, 8, 0, 5, 7, 3, 4, 5, 5, 1, 0, 5, 0, 0, 8, 0, 1, 9, 0, 8, 6, 9, 9, 6, 0, 3, 3, 0, 2, 7, 6, 3, 4, 7, 8, 7, 0, 8, 1, 0, 8, 1, 7, 5, 4, 5, 0, 1, 1, 9, 3, 0, 7, 1, 4, 1, 2, 2, 3, 3, 9, 0, 8, 6, 6, 3, 9, 3, 8, 3, 3, 9, 5, 2, 9, 4, 2, 5, 7, 8, 6, 9, 0, 5, 0, 7, 6, 4, 3, 1, 0, 0, 6, 3, 8, 3, 5, 1, 9, 8, 3, 4, 3, 8, 9, 3, 4, 1, 5, 9, 6, 1, 3, 1, 8, 5, 4, 3, 4, 7, 5, 4, 6, 4, 9, 5, 5, 6, 9, 7, 8, 1, 0, 3, 8, 2, 9, 3, 0, 9, 7, 1, 6, 4, 6, 5, 1, 4, 3, 8, 4, 0, 7, 0, 0, 7, 0, 7, 3, 6, 0, 4, 1, 1, 2, 3, 7, 3, 5, 9, 9, 8, 4, 3, 4, 5, 2, 2, 5, 1, 6, 1, 0, 5, 0, 7, 0, 2, 7, 0, 5, 6, 2, 3, 5, 2, 6, 6, 0, 1, 2, 7, 6, 4, 8, 4, 8, 3, 0, 8, 4, 0, 7, 6, 1, 1, 8, 3, 0, 1, 3, 0, 5, 2, 7, 9, 3, 2, 0, 5, 4, 2, 7, 4, 6, 2, 8, 6, 5, 4, 0, 3, 6, 0, 3, 6, 7, 4, 5, 3, 2, 8, 6, 5, 1, 0, 5, 7, 0, 6, 5, 8, 7, 4, 8, 8, 2, 2, 5, 6, 9, 8, 1, 5, 7, 9, 3, 6, 7, 8, 9, 7, 6, 6, 9, 7, 4, 2, 2, 0, 5, 7, 5, 0, 5, 9, 6, 8, 3, 4, 4, 0, 8, 6, 9, 7, 3, 5, 0, 2, 0, 1, 4, 1, 0, 2, 0, 6, 7, 2, 3, 5, 8, 5, 0, 2, 0, 0, 7, 2, 4, 5, 2, 2, 5, 6, 3, 2, 6, 5, 1, 3, 4, 1, 0, 5, 5, 9, 2, 4, 0, 1, 9, 0, 2, 7, 4, 2, 1, 6, 2, 4, 8, 4, 3, 9, 1, 4, 0, 3, 5, 9, 9, 8, 9, 5, 3, 5, 3, 9, 4, 5, 9, 0, 9, 4, 4, 0, 7, 0, 4, 6, 9, 1, 2, 0, 9, 1, 4, 0, 9, 3, 8, 7, 0, 0, 1, 2, 6, 4, 5, 6, 0, 0, 1, 6, 2, 3, 7, 4, 2, 8, 8, 0, 2, 1, 0, 9, 2, 7, 6, 4, 5, 7, 9, 3, 1, 0, 6, 5, 7, 9, 2, 2, 9, 5, 5, 2, 4, 9, 8, 8, 7, 2, 7, 5, 8, 4, 6, 1, 0, 1, 2, 6, 4, 8, 3, 6, 9, 9, 9, 8, 9, 2, 2, 5, 6, 9, 5, 9, 6, 8, 8, 1, 5, 9, 2, 0, 5, 6, 0, 0, 1, 0, 1, 6, 5, 5, 2, 5, 6, 3, 7, 5, 6, 7, 8 }; Random64 r = new Random64(new Random(DateTime.Now.Millisecond)); ulong seed = r.Next(UInt64.MinValue, UInt64.MaxValue); ulong num = 0; num += seed; int frekvens = 0; // ändrar längden under undersöknignen. ulong längd = 10; for (ulong i = UInt64.MinValue; i < längd + 1; i++) { num += Pi_L[frekvens]; t1.Add((ulong)num % 10); frekvens += 1; if (frekvens == 10000) { frekvens = 0; } } // Observera att resultatet kommer att variera beroende på seed. foreach (ulong item in t1) { Console.WriteLine(item); } // tar fram ett tal mellan 0 till U-long max (18446744073709551615) Console.WriteLine("\nSeeden är följande: " + seed); Console.WriteLine("ulong maxvalue: " + UInt64.MaxValue); int total = t1.Sum(x => Convert.ToInt32(x)); // medelvärde beräkna med total / t1.Count; Console.WriteLine("\nMedelvärde ska gå emot: 4.5"); Console.WriteLine("Genomsnittligt antal per värde " + längd / 10); // Avikelse max: Maxantalet gånger samma tal uppkommer/(list.Count/10). //Stereotyp värde för Avvikelse max är 1(0 %). // Avikelse min: Minantalet gånger samma tal uppkommer/(list.Count/10). //Stereotyp värde för Avvikelse min är 1(0 %). // Genomsnittlig avikelse: (Avikelse min + Avikelse min) / 2. //Stereotyp värde för Genomsnittlig avvikelse är 1(0 %). // Genomsnittlig värde: List.Sum/List.Count. //Stereotyp värde för Genomsnittligt värde är 4.5 // Genomsnittlig felmarginal: Absolutbelopp av Genomsnittligt värde - stereotyp värdet för det genomsnittliga värdet (4.5). //Stereotyp värde för Genomsnittligt värde = 0. }