TerrainController.cs

using System;
using System.Collections;
using System.IO;
using System.IO.Compression;
using System.Collections.Generic;

/*---------------------------------------------------------------------------------------
--	SOURCE FILE:	TerrainController.cs
--
--	PROGRAM:		TerrainController
--
--	FUNCTIONS:		public TerrainController()
--                  public bool GenerateEncoding()
--                  public bool Instantiate()
--                  public byte[] compressByteArray()
--                  public byte[] decompressByteArray()
--                  public void compressData()
--                  public void LoadByteArray()
--
--	DATE:			Feb 16th, 2018
--
--	REVISIONS:		Feb 24th, 2018
--
--	DESIGNERS:		Angus Lam, Benny Wang, Roger Zhang
--
--	PROGRAMMER:		Angus Lam, Benny Wang, Roger Zhang
--
--	NOTES:
--     This is a csharp script to initialize a 2D terrain consists of
--     cactus, bushes and ground.
---------------------------------------------------------------------------------------*/
public class TerrainController
{
    /*
     * Tile Types
     * Ground = 0
     * Cactus = 1
     * Bush = 2
     */
    enum TileTypes
    {
        GROUND,
        CACTUS,
        BUSH,
        BUILDINGS,
        HOTSPOTS
    };

    /*
     * Encoding structure
     * tiles - 2D array
     * buildings - 1D building array
     */
    public struct Encoding
    {
        public byte[,] tiles;
    };

    // The map encoding
    public Encoding Data { get; set; }
    // The compressed version of the map encoding
    public byte[] CompressedData { get; set; }

    // Width of the terrain
    public long Width { get; set; }

    // Length of the terrain
    public long Length { get; set; }

    // Tile size
    public long TileSize { get; set; }

    // Cactus appearing percent
    public float CactusPerc { get; set; }

    // Bush appearing percent
    public float BushPerc { get; set; }

    private Dictionary<String, bool> occupiedPosition = new Dictionary<String, bool>();

    /*-------------------------------------------------------------------------------------------------
    -- FUNCTION: TerrainController()
    --
    -- DATE: Feb 16th, 2018
    --
    -- REVISIONS: N/A
    --
    -- DESIGNER: Angus Lam, Benny Wang, Roger Zhang
    --
    -- PROGRAMMER: Angus Lam, Benny Wang, Roger Zhang
    --
    -- INTERFACE: TerrainController()
    --
    -- RETURNS: void
    --
    -- NOTES:
    -- The constructor for terrainController, sets the default width, height,
    -- Cactus, bush percent values for the terrain.
    -------------------------------------------------------------------------------------------------*/
    public TerrainController()
    {
        this.Width = R.Game.Terrain.DEFAULT_WIDTH;
        this.Length = R.Game.Terrain.DEFAULT_LENGTH;
        this.TileSize = R.Game.Terrain.DEFAULT_TILE_SIZE;
        this.CactusPerc = R.Game.Terrain.DEFAULT_CACTUS_PERC;
        this.BushPerc = R.Game.Terrain.DEFAULT_BUSH_PERC;
    }

    /*-------------------------------------------------------------------------------------------------
    -- FUNCTION: GenerateEncoding()
    --
    -- DATE: Feb 18, 2018
    --
    -- REVISIONS: N/A
    --
    -- DESIGNER: Roger Zhang
    --
    -- PROGRAMMER: Roger Zhang
    --
    -- INTERFACE: GenerateEncoding()
    --
    -- RETURNS: boolean
    --
    -- NOTES:
    -- Generates an encoded 2D array with given width and height.
    -- Populates the map array with tile types based on given coefficients.
    -------------------------------------------------------------------------------------------------*/
    public bool GenerateEncoding()
    {
        Random rand = new Random();
        float randomValue;
        byte[,] map = new byte[this.Width, this.Length];

        for (long i = 0; i < this.Width; i++)
        {
            for (long j = 0; j < this.Length; j++)
            {
                // Check if the coordinate is in the player spawn band
                if ((i >= 380 && i <= 620) && (j >= 380 && j <= 620))
                {
                    map[i, j] = (byte)TileTypes.GROUND;
                }
                // Check for border
                else if (i == 0 || i == this.Width || j == 0 || j == this.Length)
                {
                    map[i, j] = (byte)TileTypes.GROUND;
                }
                else
                {
                    // Changed by Alam

                    // Changed back to just being 0.0 to 1.0
                    randomValue = Convert.ToSingle(rand.NextDouble());

                    // Changed the comparison signs around
                    if (randomValue > R.Game.Terrain.DEFAULT_BUILDING_PERC)
                    {
                        map[i, j] = (byte)TileTypes.BUILDINGS;
                    }
                    else if (randomValue > this.CactusPerc)
                    {
                        map[i, j] = (byte)TileTypes.CACTUS;
                    }
                    else if (randomValue > this.BushPerc)
                    {
                        map[i, j] = (byte)TileTypes.BUSH;
                    }
                    else
                    {
                        map[i, j] = (byte)TileTypes.GROUND;
                    }
                }
            }
        }

        this.Data = new Encoding() { tiles = map };
        populateOccupiedPosition();
        this.compressData();

        return true;
    }

    /*-------------------------------------------------------------------------------------------------
    -- FUNCTION: compressData()
    --
    -- DATE: Jan 23, 2018
    --
    -- REVISIONS: N/A
    --
    -- DESIGNER: Benny Wang
    --
    -- PROGRAMMER: Benny Wang
    --
    -- INTERFACE: compressData()
    --
    -- RETURNS: void
    --
    -- NOTES:
    -- Compresses whatever is inside the Data member variable of this class and places it into the
    -- CompressedData member of this class.
    -------------------------------------------------------------------------------------------------*/
    private void compressData()
    {
        byte[] tmp = { };
        List<byte> compressed = new List<byte>();

        tmp = System.BitConverter.GetBytes(this.Width);
        foreach (byte t in tmp)
        {
            compressed.Add(t);
        }
        tmp = System.BitConverter.GetBytes(this.Length);
        foreach (byte t in tmp)
        {
            compressed.Add(t);
        }

        for (int i = 0; i < this.Data.tiles.GetLength(0); i++)
        {
            for (int j = 0; j < this.Data.tiles.GetLength(1); j++)
            {
                compressed.Add(this.Data.tiles[i, j]);
            }
        }

        this.CompressedData = compressByteArray(compressed.ToArray());
    }

    /*-------------------------------------------------------------------------------------------------
    -- FUNCTION: compressByteArray()
    --
    -- DATE: Feb 28, 2018
    --
    -- REVISIONS: N/A
    --
    -- DESIGNER: Roger Zhang
    --
    -- PROGRAMMER: Roger Zhang
    --
    -- INTERFACE: compressByteArray(byte[] input)
    --              byte[] input: They byte array to compress.
    --
    -- RETURNS: byte array of compressed data
    --
    -- NOTES:
    -- Compress the byteArrayData to a smaller size using system I/O.
    -------------------------------------------------------------------------------------------------*/
    public static byte[] compressByteArray(byte[] data)
    {
        using (var compressedStream = new MemoryStream())
        using (var zipStream = new GZipStream(compressedStream, CompressionMode.Compress))
        {
            zipStream.Write(data, 0, data.Length);
            zipStream.Close();
            return compressedStream.ToArray();
        }
    }

    /*-------------------------------------------------------------------------------------------------
    -- FUNCTION: IsOccupied()
    --
    -- DATE: April 10, 2018
    --
    -- REVISIONS: N/A
    --
    -- DESIGNER: Angus Lam
    --
    -- PROGRAMMER: Angus Lam
    --
    -- INTERFACE: IsOccupied(String coordinates)
    --              String coordinates : The coordinates
    --
    -- RETURNS: Whether or not the position is occupied by a game object
    -------------------------------------------------------------------------------------------------*/
    public bool IsOccupied(Bullet b)
    {
        return occupiedPosition.ContainsKey((int)b.X + "," + (int)b.Z);
    }

    //This populates the occupied positions array using hard coded town coords and the map encoding
    private void populateOccupiedPosition()
    {
        int buildingRadius = 5;
        int cactusRadius = 1;
        int rockRadius = 2;

        for (int i = 0; i < R.Game.Terrain.DEFAULT_WIDTH; i++)
        {
            for (int j = 0; j < R.Game.Terrain.DEFAULT_LENGTH; j++)
            {
                if (this.Data.tiles[i, j] == (byte)TileTypes.BUILDINGS)
                {
                    for (int k = i - buildingRadius; k <= i + buildingRadius; k++)
                    {
                        for (int m = j - buildingRadius; m <= j + buildingRadius; m++)
                        {
                            occupiedPosition[(k - 500) + "," + (m - 500)] = true;
                        }
                    }
                }
                else if (this.Data.tiles[i, j] == (byte)TileTypes.CACTUS)
                {
                    for (int k = i - cactusRadius; k <= i + cactusRadius; k++)
                    {
                        for (int m = j - cactusRadius; m <= j + cactusRadius; m++)
                        {
                            occupiedPosition[(k - 500) + "," + (m - 500)] = true;
                        }
                    }
                }
                else if (this.Data.tiles[i, j] == (byte)TileTypes.BUSH)
                {
                    for (int k = i - rockRadius; k <= i + rockRadius; k++)
                    {
                        for (int m = j - rockRadius; m <= j + rockRadius; m++)
                        {
                            occupiedPosition[(k - 500) + "," + (m - 500)] = true;
                        }
                    }
                }
            }
        }

        //Add the occupied positions from encoding
        //Add the town
        occupiedPosition["-65,-54"] = true;
        occupiedPosition["-65,-53"] = true;
        occupiedPosition["-65,-52"] = true;
        occupiedPosition["-65,-51"] = true;
        occupiedPosition["-65,-50"] = true;
        occupiedPosition["-65,-49"] = true;
        occupiedPosition["-65,-48"] = true;
        occupiedPosition["-65,-46"] = true;
        occupiedPosition["-65,-45"] = true;
        occupiedPosition["-65,-44"] = true;
        occupiedPosition["-65,-43"] = true;
        occupiedPosition["-65,-42"] = true;
        occupiedPosition["-65,-41"] = true;
        occupiedPosition["-65,-40"] = true;
        occupiedPosition["-65,-38"] = true;
        occupiedPosition["-65,-36"] = true;
        occupiedPosition["-65,-35"] = true;
        occupiedPosition["-65,-34"] = true;
        occupiedPosition["-65,-21"] = true;
        occupiedPosition["-65,-20"] = true;
        occupiedPosition["-65,-19"] = true;
        occupiedPosition["-65,-18"] = true;
        occupiedPosition["-65,-17"] = true;
        occupiedPosition["-65,-16"] = true;
        occupiedPosition["-65,-15"] = true;
        occupiedPosition["-65,-14"] = true;
        occupiedPosition["-65,-13"] = true;
        occupiedPosition["-65,-12"] = true;
        occupiedPosition["-65,-9"] = true;
        occupiedPosition["-65,-7"] = true;
        occupiedPosition["-65,-6"] = true;
        occupiedPosition["-65,-5"] = true;
        occupiedPosition["-65,-4"] = true;
        occupiedPosition["-65,-3"] = true;
        occupiedPosition["-65,-1"] = true;
        occupiedPosition["-65,0"] = true;
        occupiedPosition["-65,1"] = true;
        occupiedPosition["-65,2"] = true;
        occupiedPosition["-65,3"] = true;
        occupiedPosition["-65,4"] = true;
        occupiedPosition["-65,5"] = true;
        occupiedPosition["-65,6"] = true;
        occupiedPosition["-65,7"] = true;
        occupiedPosition["-65,8"] = true;
        occupiedPosition["-65,9"] = true;
        occupiedPosition["-65,10"] = true;
        occupiedPosition["-65,11"] = true;
        occupiedPosition["-65,12"] = true;
        occupiedPosition["-65,13"] = true;
        occupiedPosition["-65,14"] = true;
        occupiedPosition["-65,15"] = true;
        occupiedPosition["-65,16"] = true;
        occupiedPosition["-65,17"] = true;
        occupiedPosition["-65,18"] = true;
        occupiedPosition["-65,19"] = true;
        occupiedPosition["-65,20"] = true;
        occupiedPosition["-65,21"] = true;
        occupiedPosition["-65,22"] = true;
        occupiedPosition["-65,23"] = true;
        occupiedPosition["-65,24"] = true;
        occupiedPosition["-65,25"] = true;
        occupiedPosition["-65,26"] = true;
        occupiedPosition["-65,27"] = true;
        occupiedPosition["-65,43"] = true;
        occupiedPosition["-65,44"] = true;
        occupiedPosition["-65,45"] = true;
        occupiedPosition["-65,46"] = true;
        occupiedPosition["-65,47"] = true;
        occupiedPosition["-65,48"] = true;
        occupiedPosition["-65,49"] = true;
        occupiedPosition["-65,50"] = true;
        occupiedPosition["-65,51"] = true;
        occupiedPosition["-65,52"] = true;
        occupiedPosition["-65,53"] = true;
        occupiedPosition["-65,54"] = true;
        occupiedPosition["-65,55"] = true;
        occupiedPosition["-65,56"] = true;
        occupiedPosition["-65,57"] = true;
        occupiedPosition["-65,58"] = true;
        occupiedPosition["-65,59"] = true;
        occupiedPosition["-65,60"] = true;
        occupiedPosition["-65,61"] = true;
        occupiedPosition["-65,62"] = true;
        occupiedPosition["-65,63"] = true;
        occupiedPosition["-65,64"] = true;
        occupiedPosition["-64,-56"] = true;
        occupiedPosition["-64,-55"] = true;
        occupiedPosition["-64,-54"] = true;
        occupiedPosition["-64,-53"] = true;
        occupiedPosition["-64,-51"] = true;
        occupiedPosition["-64,-50"] = true;
        occupiedPosition["-64,-49"] = true;
        occupiedPosition["-64,-48"] = true;
        occupiedPosition["-64,-46"] = true;
        occupiedPosition["-64,-45"] = true;
        occupiedPosition["-64,-43"] = true;
        occupiedPosition["-64,-41"] = true;
        occupiedPosition["-64,-40"] = true;
        occupiedPosition["-64,-38"] = true;
        occupiedPosition["-64,-35"] = true;
        occupiedPosition["-64,-21"] = true;
        occupiedPosition["-64,-20"] = true;
        occupiedPosition["-64,-18"] = true;
        occupiedPosition["-64,-17"] = true;
        occupiedPosition["-64,-15"] = true;
        occupiedPosition["-64,-13"] = true;
        occupiedPosition["-64,-12"] = true;
        occupiedPosition["-64,-6"] = true;
        occupiedPosition["-64,-4"] = true;
        occupiedPosition["-64,-3"] = true;
        occupiedPosition["-64,-1"] = true;
        occupiedPosition["-64,0"] = true;
        occupiedPosition["-64,1"] = true;
        occupiedPosition["-64,2"] = true;
        occupiedPosition["-64,3"] = true;
        occupiedPosition["-64,4"] = true;
        occupiedPosition["-64,5"] = true;
        occupiedPosition["-64,6"] = true;
        occupiedPosition["-64,7"] = true;
        occupiedPosition["-64,8"] = true;
        occupiedPosition["-64,9"] = true;
        occupiedPosition["-64,10"] = true;
        occupiedPosition["-64,11"] = true;
        occupiedPosition["-64,12"] = true;
        occupiedPosition["-64,13"] = true;
        occupiedPosition["-64,14"] = true;
        occupiedPosition["-64,15"] = true;
        occupiedPosition["-64,16"] = true;
        occupiedPosition["-64,17"] = true;
        occupiedPosition["-64,18"] = true;
        occupiedPosition["-64,19"] = true;
        occupiedPosition["-64,20"] = true;
        occupiedPosition["-64,21"] = true;
        occupiedPosition["-64,22"] = true;
        occupiedPosition["-64,23"] = true;
        occupiedPosition["-64,24"] = true;
        occupiedPosition["-64,25"] = true;
        occupiedPosition["-64,26"] = true;
        occupiedPosition["-64,27"] = true;
        occupiedPosition["-64,28"] = true;
        occupiedPosition["-64,38"] = true;
        occupiedPosition["-64,39"] = true;
        occupiedPosition["-64,43"] = true;
        occupiedPosition["-64,44"] = true;
        occupiedPosition["-64,45"] = true;
        occupiedPosition["-64,46"] = true;
        occupiedPosition["-64,47"] = true;
        occupiedPosition["-64,48"] = true;
        occupiedPosition["-64,49"] = true;
        occupiedPosition["-64,50"] = true;
        occupiedPosition["-64,51"] = true;
        occupiedPosition["-64,52"] = true;
        occupiedPosition["-64,53"] = true;
        occupiedPosition["-64,54"] = true;
        occupiedPosition["-64,55"] = true;
        occupiedPosition["-64,56"] = true;
        occupiedPosition["-64,57"] = true;
        occupiedPosition["-64,58"] = true;
        occupiedPosition["-64,59"] = true;
        occupiedPosition["-64,60"] = true;
        occupiedPosition["-64,61"] = true;
        occupiedPosition["-64,62"] = true;
        occupiedPosition["-64,63"] = true;
        occupiedPosition["-64,64"] = true;
        occupiedPosition["-63,-1"] = true;
        occupiedPosition["-63,0"] = true;
        occupiedPosition["-63,25"] = true;
        occupiedPosition["-63,26"] = true;
        occupiedPosition["-63,37"] = true;
        occupiedPosition["-63,38"] = true;
        occupiedPosition["-63,39"] = true;
        occupiedPosition["-63,43"] = true;
        occupiedPosition["-63,44"] = true;
        occupiedPosition["-63,64"] = true;
        occupiedPosition["-62,-1"] = true;
        occupiedPosition["-62,0"] = true;
        occupiedPosition["-62,1"] = true;
        occupiedPosition["-62,6"] = true;
        occupiedPosition["-62,7"] = true;
        occupiedPosition["-62,26"] = true;
        occupiedPosition["-62,38"] = true;
        occupiedPosition["-62,39"] = true;
        occupiedPosition["-62,42"] = true;
        occupiedPosition["-62,43"] = true;
        occupiedPosition["-62,44"] = true;
        occupiedPosition["-62,45"] = true;
        occupiedPosition["-62,48"] = true;
        occupiedPosition["-62,49"] = true;
        occupiedPosition["-62,50"] = true;
        occupiedPosition["-62,63"] = true;
        occupiedPosition["-62,64"] = true;
        occupiedPosition["-61,-56"] = true;
        occupiedPosition["-61,-55"] = true;
        occupiedPosition["-61,-53"] = true;
        occupiedPosition["-61,-52"] = true;
        occupiedPosition["-61,-51"] = true;
        occupiedPosition["-61,-40"] = true;
        occupiedPosition["-61,-39"] = true;
        occupiedPosition["-61,-38"] = true;
        occupiedPosition["-61,-37"] = true;
        occupiedPosition["-61,-30"] = true;
        occupiedPosition["-61,-29"] = true;
        occupiedPosition["-61,-28"] = true;
        occupiedPosition["-61,-27"] = true;
        occupiedPosition["-61,-24"] = true;
        occupiedPosition["-61,-23"] = true;
        occupiedPosition["-61,-22"] = true;
        occupiedPosition["-61,-1"] = true;
        occupiedPosition["-61,0"] = true;
        occupiedPosition["-61,1"] = true;
        occupiedPosition["-61,5"] = true;
        occupiedPosition["-61,6"] = true;
        occupiedPosition["-61,7"] = true;
        occupiedPosition["-61,8"] = true;
        occupiedPosition["-61,11"] = true;
        occupiedPosition["-61,12"] = true;
        occupiedPosition["-61,13"] = true;
        occupiedPosition["-61,14"] = true;
        occupiedPosition["-61,15"] = true;
        occupiedPosition["-61,16"] = true;
        occupiedPosition["-61,17"] = true;
        occupiedPosition["-61,18"] = true;
        occupiedPosition["-61,19"] = true;
        occupiedPosition["-61,20"] = true;
        occupiedPosition["-61,21"] = true;
        occupiedPosition["-61,22"] = true;
        occupiedPosition["-61,23"] = true;
        occupiedPosition["-61,24"] = true;
        occupiedPosition["-61,42"] = true;
        occupiedPosition["-61,43"] = true;
        occupiedPosition["-61,44"] = true;
        occupiedPosition["-61,45"] = true;
        occupiedPosition["-61,48"] = true;
        occupiedPosition["-61,49"] = true;
        occupiedPosition["-61,50"] = true;
        occupiedPosition["-61,51"] = true;
        occupiedPosition["-61,52"] = true;
        occupiedPosition["-61,53"] = true;
        occupiedPosition["-61,54"] = true;
        occupiedPosition["-61,55"] = true;
        occupiedPosition["-61,56"] = true;
        occupiedPosition["-61,57"] = true;
        occupiedPosition["-61,58"] = true;
        occupiedPosition["-61,63"] = true;
        occupiedPosition["-61,64"] = true;
        occupiedPosition["-60,-56"] = true;
        occupiedPosition["-60,-55"] = true;
        occupiedPosition["-60,-40"] = true;
        occupiedPosition["-60,-39"] = true;
        occupiedPosition["-60,-38"] = true;
        occupiedPosition["-60,-37"] = true;
        occupiedPosition["-60,-29"] = true;
        occupiedPosition["-60,-28"] = true;
        occupiedPosition["-60,-24"] = true;
        occupiedPosition["-60,-23"] = true;
        occupiedPosition["-60,-22"] = true;
        occupiedPosition["-60,-5"] = true;
        occupiedPosition["-60,-4"] = true;
        occupiedPosition["-60,-1"] = true;
        occupiedPosition["-60,0"] = true;
        occupiedPosition["-60,1"] = true;
        occupiedPosition["-60,5"] = true;
        occupiedPosition["-60,6"] = true;
        occupiedPosition["-60,7"] = true;
        occupiedPosition["-60,8"] = true;
        occupiedPosition["-60,11"] = true;
        occupiedPosition["-60,12"] = true;
        occupiedPosition["-60,13"] = true;
        occupiedPosition["-60,14"] = true;
        occupiedPosition["-60,15"] = true;
        occupiedPosition["-60,16"] = true;
        occupiedPosition["-60,17"] = true;
        occupiedPosition["-60,18"] = true;
        occupiedPosition["-60,19"] = true;
        occupiedPosition["-60,20"] = true;
        occupiedPosition["-60,21"] = true;
        occupiedPosition["-60,22"] = true;
        occupiedPosition["-60,23"] = true;
        occupiedPosition["-60,24"] = true;
        occupiedPosition["-60,43"] = true;
        occupiedPosition["-60,44"] = true;
        occupiedPosition["-60,48"] = true;
        occupiedPosition["-60,49"] = true;
        occupiedPosition["-60,50"] = true;
        occupiedPosition["-60,51"] = true;
        occupiedPosition["-60,52"] = true;
        occupiedPosition["-60,53"] = true;
        occupiedPosition["-60,54"] = true;
        occupiedPosition["-60,55"] = true;
        occupiedPosition["-60,56"] = true;
        occupiedPosition["-60,57"] = true;
        occupiedPosition["-60,58"] = true;
        occupiedPosition["-60,64"] = true;
        occupiedPosition["-59,-56"] = true;
        occupiedPosition["-59,-55"] = true;
        occupiedPosition["-59,-39"] = true;
        occupiedPosition["-59,-6"] = true;
        occupiedPosition["-59,-5"] = true;
        occupiedPosition["-59,-4"] = true;
        occupiedPosition["-59,-3"] = true;
        occupiedPosition["-59,-1"] = true;
        occupiedPosition["-59,0"] = true;
        occupiedPosition["-59,1"] = true;
        occupiedPosition["-59,6"] = true;
        occupiedPosition["-59,7"] = true;
        occupiedPosition["-59,11"] = true;
        occupiedPosition["-59,12"] = true;
        occupiedPosition["-59,23"] = true;
        occupiedPosition["-59,24"] = true;
        occupiedPosition["-59,51"] = true;
        occupiedPosition["-59,52"] = true;
        occupiedPosition["-59,57"] = true;
        occupiedPosition["-59,58"] = true;
        occupiedPosition["-59,63"] = true;
        occupiedPosition["-59,64"] = true;
        occupiedPosition["-58,-56"] = true;
        occupiedPosition["-58,-55"] = true;
        occupiedPosition["-58,-6"] = true;
        occupiedPosition["-58,-5"] = true;
        occupiedPosition["-58,-4"] = true;
        occupiedPosition["-58,-3"] = true;
        occupiedPosition["-58,-1"] = true;
        occupiedPosition["-58,0"] = true;
        occupiedPosition["-58,1"] = true;
        occupiedPosition["-58,11"] = true;
        occupiedPosition["-58,12"] = true;
        occupiedPosition["-58,23"] = true;
        occupiedPosition["-58,24"] = true;
        occupiedPosition["-58,50"] = true;
        occupiedPosition["-58,51"] = true;
        occupiedPosition["-58,57"] = true;
        occupiedPosition["-58,58"] = true;
        occupiedPosition["-58,64"] = true;
        occupiedPosition["-57,-56"] = true;
        occupiedPosition["-57,-55"] = true;
        occupiedPosition["-57,-5"] = true;
        occupiedPosition["-57,-4"] = true;
        occupiedPosition["-57,-1"] = true;
        occupiedPosition["-57,0"] = true;
        occupiedPosition["-57,1"] = true;
        occupiedPosition["-57,11"] = true;
        occupiedPosition["-57,12"] = true;
        occupiedPosition["-57,23"] = true;
        occupiedPosition["-57,24"] = true;
        occupiedPosition["-57,47"] = true;
        occupiedPosition["-57,48"] = true;
        occupiedPosition["-57,49"] = true;
        occupiedPosition["-57,50"] = true;
        occupiedPosition["-57,51"] = true;
        occupiedPosition["-57,57"] = true;
        occupiedPosition["-57,58"] = true;
        occupiedPosition["-57,63"] = true;
        occupiedPosition["-57,64"] = true;
        occupiedPosition["-56,-56"] = true;
        occupiedPosition["-56,-55"] = true;
        occupiedPosition["-56,-51"] = true;
        occupiedPosition["-56,-50"] = true;
        occupiedPosition["-56,-49"] = true;
        occupiedPosition["-56,-48"] = true;
        occupiedPosition["-56,-47"] = true;
        occupiedPosition["-56,-46"] = true;
        occupiedPosition["-56,-45"] = true;
        occupiedPosition["-56,-44"] = true;
        occupiedPosition["-56,-43"] = true;
        occupiedPosition["-56,-42"] = true;
        occupiedPosition["-56,-41"] = true;
        occupiedPosition["-56,-40"] = true;
        occupiedPosition["-56,-39"] = true;
        occupiedPosition["-56,-38"] = true;
        occupiedPosition["-56,-37"] = true;
        occupiedPosition["-56,-1"] = true;
        occupiedPosition["-56,0"] = true;
        occupiedPosition["-56,1"] = true;
        occupiedPosition["-56,11"] = true;
        occupiedPosition["-56,12"] = true;
        occupiedPosition["-56,23"] = true;
        occupiedPosition["-56,24"] = true;
        occupiedPosition["-56,47"] = true;
        occupiedPosition["-56,48"] = true;
        occupiedPosition["-56,49"] = true;
        occupiedPosition["-56,50"] = true;
        occupiedPosition["-56,51"] = true;
        occupiedPosition["-56,57"] = true;
        occupiedPosition["-56,58"] = true;
        occupiedPosition["-56,63"] = true;
        occupiedPosition["-56,64"] = true;
        occupiedPosition["-55,-56"] = true;
        occupiedPosition["-55,-55"] = true;
        occupiedPosition["-55,-51"] = true;
        occupiedPosition["-55,-50"] = true;
        occupiedPosition["-55,-49"] = true;
        occupiedPosition["-55,-48"] = true;
        occupiedPosition["-55,-47"] = true;
        occupiedPosition["-55,-46"] = true;
        occupiedPosition["-55,-45"] = true;
        occupiedPosition["-55,-44"] = true;
        occupiedPosition["-55,-43"] = true;
        occupiedPosition["-55,-42"] = true;
        occupiedPosition["-55,-41"] = true;
        occupiedPosition["-55,-40"] = true;
        occupiedPosition["-55,-39"] = true;
        occupiedPosition["-55,-38"] = true;
        occupiedPosition["-55,-37"] = true;
        occupiedPosition["-55,-29"] = true;
        occupiedPosition["-55,-28"] = true;
        occupiedPosition["-55,-27"] = true;
        occupiedPosition["-55,-26"] = true;
        occupiedPosition["-55,-25"] = true;
        occupiedPosition["-55,-24"] = true;
        occupiedPosition["-55,-23"] = true;
        occupiedPosition["-55,-22"] = true;
        occupiedPosition["-55,-21"] = true;
        occupiedPosition["-55,-20"] = true;
        occupiedPosition["-55,-19"] = true;
        occupiedPosition["-55,-18"] = true;
        occupiedPosition["-55,-15"] = true;
        occupiedPosition["-55,-14"] = true;
        occupiedPosition["-55,-13"] = true;
        occupiedPosition["-55,-1"] = true;
        occupiedPosition["-55,0"] = true;
        occupiedPosition["-55,1"] = true;
        occupiedPosition["-55,11"] = true;
        occupiedPosition["-55,12"] = true;
        occupiedPosition["-55,23"] = true;
        occupiedPosition["-55,24"] = true;
        occupiedPosition["-55,47"] = true;
        occupiedPosition["-55,48"] = true;
        occupiedPosition["-55,50"] = true;
        occupiedPosition["-55,51"] = true;
        occupiedPosition["-55,57"] = true;
        occupiedPosition["-55,58"] = true;
        occupiedPosition["-55,64"] = true;
        occupiedPosition["-54,-56"] = true;
        occupiedPosition["-54,-55"] = true;
        occupiedPosition["-54,-51"] = true;
        occupiedPosition["-54,-50"] = true;
        occupiedPosition["-54,-38"] = true;
        occupiedPosition["-54,-37"] = true;
        occupiedPosition["-54,-29"] = true;
        occupiedPosition["-54,-28"] = true;
        occupiedPosition["-54,-27"] = true;
        occupiedPosition["-54,-26"] = true;
        occupiedPosition["-54,-25"] = true;
        occupiedPosition["-54,-24"] = true;
        occupiedPosition["-54,-23"] = true;
        occupiedPosition["-54,-22"] = true;
        occupiedPosition["-54,-21"] = true;
        occupiedPosition["-54,-20"] = true;
        occupiedPosition["-54,-19"] = true;
        occupiedPosition["-54,-18"] = true;
        occupiedPosition["-54,-15"] = true;
        occupiedPosition["-54,-14"] = true;
        occupiedPosition["-54,-13"] = true;
        occupiedPosition["-54,-12"] = true;
        occupiedPosition["-54,-11"] = true;
        occupiedPosition["-54,-10"] = true;
        occupiedPosition["-54,-9"] = true;
        occupiedPosition["-54,-8"] = true;
        occupiedPosition["-54,-7"] = true;
        occupiedPosition["-54,-6"] = true;
        occupiedPosition["-54,-5"] = true;
        occupiedPosition["-54,-4"] = true;
        occupiedPosition["-54,-1"] = true;
        occupiedPosition["-54,0"] = true;
        occupiedPosition["-54,1"] = true;
        occupiedPosition["-54,11"] = true;
        occupiedPosition["-54,12"] = true;
        occupiedPosition["-54,13"] = true;
        occupiedPosition["-54,14"] = true;
        occupiedPosition["-54,15"] = true;
        occupiedPosition["-54,16"] = true;
        occupiedPosition["-54,17"] = true;
        occupiedPosition["-54,18"] = true;
        occupiedPosition["-54,19"] = true;
        occupiedPosition["-54,20"] = true;
        occupiedPosition["-54,23"] = true;
        occupiedPosition["-54,24"] = true;
        occupiedPosition["-54,47"] = true;
        occupiedPosition["-54,48"] = true;
        occupiedPosition["-54,50"] = true;
        occupiedPosition["-54,51"] = true;
        occupiedPosition["-54,57"] = true;
        occupiedPosition["-54,58"] = true;
        occupiedPosition["-54,64"] = true;
        occupiedPosition["-53,-56"] = true;
        occupiedPosition["-53,-55"] = true;
        occupiedPosition["-53,-51"] = true;
        occupiedPosition["-53,-50"] = true;
        occupiedPosition["-53,-38"] = true;
        occupiedPosition["-53,-37"] = true;
        occupiedPosition["-53,-29"] = true;
        occupiedPosition["-53,-28"] = true;
        occupiedPosition["-53,-19"] = true;
        occupiedPosition["-53,-18"] = true;
        occupiedPosition["-53,-14"] = true;
        occupiedPosition["-53,-13"] = true;
        occupiedPosition["-53,-12"] = true;
        occupiedPosition["-53,-11"] = true;
        occupiedPosition["-53,-10"] = true;
        occupiedPosition["-53,-9"] = true;
        occupiedPosition["-53,-8"] = true;
        occupiedPosition["-53,-7"] = true;
        occupiedPosition["-53,-6"] = true;
        occupiedPosition["-53,-5"] = true;
        occupiedPosition["-53,-4"] = true;
        occupiedPosition["-53,-1"] = true;
        occupiedPosition["-53,0"] = true;
        occupiedPosition["-53,1"] = true;
        occupiedPosition["-53,11"] = true;
        occupiedPosition["-53,12"] = true;
        occupiedPosition["-53,13"] = true;
        occupiedPosition["-53,14"] = true;
        occupiedPosition["-53,15"] = true;
        occupiedPosition["-53,16"] = true;
        occupiedPosition["-53,17"] = true;
        occupiedPosition["-53,18"] = true;
        occupiedPosition["-53,19"] = true;
        occupiedPosition["-53,20"] = true;
        occupiedPosition["-53,23"] = true;
        occupiedPosition["-53,24"] = true;
        occupiedPosition["-53,47"] = true;
        occupiedPosition["-53,48"] = true;
        occupiedPosition["-53,49"] = true;
        occupiedPosition["-53,50"] = true;
        occupiedPosition["-53,51"] = true;
        occupiedPosition["-53,57"] = true;
        occupiedPosition["-53,58"] = true;
        occupiedPosition["-53,63"] = true;
        occupiedPosition["-53,64"] = true;
        occupiedPosition["-52,-56"] = true;
        occupiedPosition["-52,-55"] = true;
        occupiedPosition["-52,-51"] = true;
        occupiedPosition["-52,-50"] = true;
        occupiedPosition["-52,-38"] = true;
        occupiedPosition["-52,-37"] = true;
        occupiedPosition["-52,-29"] = true;
        occupiedPosition["-52,-28"] = true;
        occupiedPosition["-52,-19"] = true;
        occupiedPosition["-52,-18"] = true;
        occupiedPosition["-52,-14"] = true;
        occupiedPosition["-52,-13"] = true;
        occupiedPosition["-52,-12"] = true;
        occupiedPosition["-52,-11"] = true;
        occupiedPosition["-52,-5"] = true;
        occupiedPosition["-52,-4"] = true;
        occupiedPosition["-52,-1"] = true;
        occupiedPosition["-52,0"] = true;
        occupiedPosition["-52,1"] = true;
        occupiedPosition["-52,10"] = true;
        occupiedPosition["-52,11"] = true;
        occupiedPosition["-52,12"] = true;
        occupiedPosition["-52,13"] = true;
        occupiedPosition["-52,15"] = true;
        occupiedPosition["-52,16"] = true;
        occupiedPosition["-52,19"] = true;
        occupiedPosition["-52,20"] = true;
        occupiedPosition["-52,23"] = true;
        occupiedPosition["-52,24"] = true;
        occupiedPosition["-52,47"] = true;
        occupiedPosition["-52,48"] = true;
        occupiedPosition["-52,49"] = true;
        occupiedPosition["-52,50"] = true;
        occupiedPosition["-52,51"] = true;
        occupiedPosition["-52,57"] = true;
        occupiedPosition["-52,58"] = true;
        occupiedPosition["-52,63"] = true;
        occupiedPosition["-52,64"] = true;
        occupiedPosition["-51,-56"] = true;
        occupiedPosition["-51,-55"] = true;
        occupiedPosition["-51,-51"] = true;
        occupiedPosition["-51,-50"] = true;
        occupiedPosition["-51,-38"] = true;
        occupiedPosition["-51,-37"] = true;
        occupiedPosition["-51,-29"] = true;
        occupiedPosition["-51,-28"] = true;
        occupiedPosition["-51,-27"] = true;
        occupiedPosition["-51,-26"] = true;
        occupiedPosition["-51,-25"] = true;
        occupiedPosition["-51,-19"] = true;
        occupiedPosition["-51,-18"] = true;
        occupiedPosition["-51,-12"] = true;
        occupiedPosition["-51,-11"] = true;
        occupiedPosition["-51,-5"] = true;
        occupiedPosition["-51,-4"] = true;
        occupiedPosition["-51,-1"] = true;
        occupiedPosition["-51,0"] = true;
        occupiedPosition["-51,1"] = true;
        occupiedPosition["-51,10"] = true;
        occupiedPosition["-51,11"] = true;
        occupiedPosition["-51,12"] = true;
        occupiedPosition["-51,13"] = true;
        occupiedPosition["-51,15"] = true;
        occupiedPosition["-51,16"] = true;
        occupiedPosition["-51,19"] = true;
        occupiedPosition["-51,20"] = true;
        occupiedPosition["-51,21"] = true;
        occupiedPosition["-51,22"] = true;
        occupiedPosition["-51,23"] = true;
        occupiedPosition["-51,24"] = true;
        occupiedPosition["-51,50"] = true;
        occupiedPosition["-51,51"] = true;
        occupiedPosition["-51,57"] = true;
        occupiedPosition["-51,58"] = true;
        occupiedPosition["-51,59"] = true;
        occupiedPosition["-51,60"] = true;
        occupiedPosition["-51,61"] = true;
        occupiedPosition["-51,64"] = true;
        occupiedPosition["-50,-56"] = true;
        occupiedPosition["-50,-55"] = true;
        occupiedPosition["-50,-51"] = true;
        occupiedPosition["-50,-50"] = true;
        occupiedPosition["-50,-38"] = true;
        occupiedPosition["-50,-37"] = true;
        occupiedPosition["-50,-29"] = true;
        occupiedPosition["-50,-28"] = true;
        occupiedPosition["-50,-27"] = true;
        occupiedPosition["-50,-26"] = true;
        occupiedPosition["-50,-25"] = true;
        occupiedPosition["-50,-19"] = true;
        occupiedPosition["-50,-18"] = true;
        occupiedPosition["-50,-14"] = true;
        occupiedPosition["-50,-13"] = true;
        occupiedPosition["-50,-12"] = true;
        occupiedPosition["-50,-11"] = true;
        occupiedPosition["-50,-5"] = true;
        occupiedPosition["-50,-4"] = true;
        occupiedPosition["-50,-1"] = true;
        occupiedPosition["-50,0"] = true;
        occupiedPosition["-50,1"] = true;
        occupiedPosition["-50,10"] = true;
        occupiedPosition["-50,11"] = true;
        occupiedPosition["-50,19"] = true;
        occupiedPosition["-50,20"] = true;
        occupiedPosition["-50,21"] = true;
        occupiedPosition["-50,22"] = true;
        occupiedPosition["-50,23"] = true;
        occupiedPosition["-50,24"] = true;
        occupiedPosition["-50,41"] = true;
        occupiedPosition["-50,42"] = true;
        occupiedPosition["-50,43"] = true;
        occupiedPosition["-50,50"] = true;
        occupiedPosition["-50,51"] = true;
        occupiedPosition["-50,57"] = true;
        occupiedPosition["-50,58"] = true;
        occupiedPosition["-50,59"] = true;
        occupiedPosition["-50,60"] = true;
        occupiedPosition["-50,61"] = true;
        occupiedPosition["-50,63"] = true;
        occupiedPosition["-50,64"] = true;
        occupiedPosition["-49,-56"] = true;
        occupiedPosition["-49,-55"] = true;
        occupiedPosition["-49,-51"] = true;
        occupiedPosition["-49,-50"] = true;
        occupiedPosition["-49,-38"] = true;
        occupiedPosition["-49,-37"] = true;
        occupiedPosition["-49,-26"] = true;
        occupiedPosition["-49,-25"] = true;
        occupiedPosition["-49,-19"] = true;
        occupiedPosition["-49,-18"] = true;
        occupiedPosition["-49,-14"] = true;
        occupiedPosition["-49,-13"] = true;
        occupiedPosition["-49,-12"] = true;
        occupiedPosition["-49,-11"] = true;
        occupiedPosition["-49,-5"] = true;
        occupiedPosition["-49,-4"] = true;
        occupiedPosition["-49,-1"] = true;
        occupiedPosition["-49,0"] = true;
        occupiedPosition["-49,1"] = true;
        occupiedPosition["-49,40"] = true;
        occupiedPosition["-49,41"] = true;
        occupiedPosition["-49,42"] = true;
        occupiedPosition["-49,43"] = true;
        occupiedPosition["-49,50"] = true;
        occupiedPosition["-49,51"] = true;
        occupiedPosition["-49,52"] = true;
        occupiedPosition["-49,53"] = true;
        occupiedPosition["-49,54"] = true;
        occupiedPosition["-49,55"] = true;
        occupiedPosition["-49,56"] = true;
        occupiedPosition["-49,57"] = true;
        occupiedPosition["-49,58"] = true;
        occupiedPosition["-49,59"] = true;
        occupiedPosition["-49,60"] = true;
        occupiedPosition["-49,61"] = true;
        occupiedPosition["-49,64"] = true;
        occupiedPosition["-48,-56"] = true;
        occupiedPosition["-48,-55"] = true;
        occupiedPosition["-48,-51"] = true;
        occupiedPosition["-48,-50"] = true;
        occupiedPosition["-48,-38"] = true;
        occupiedPosition["-48,-37"] = true;
        occupiedPosition["-48,-26"] = true;
        occupiedPosition["-48,-25"] = true;
        occupiedPosition["-48,-19"] = true;
        occupiedPosition["-48,-18"] = true;
        occupiedPosition["-48,-12"] = true;
        occupiedPosition["-48,-11"] = true;
        occupiedPosition["-48,-5"] = true;
        occupiedPosition["-48,-4"] = true;
        occupiedPosition["-48,-1"] = true;
        occupiedPosition["-48,0"] = true;
        occupiedPosition["-48,1"] = true;
        occupiedPosition["-48,41"] = true;
        occupiedPosition["-48,42"] = true;
        occupiedPosition["-48,43"] = true;
        occupiedPosition["-48,50"] = true;
        occupiedPosition["-48,51"] = true;
        occupiedPosition["-48,52"] = true;
        occupiedPosition["-48,53"] = true;
        occupiedPosition["-48,54"] = true;
        occupiedPosition["-48,55"] = true;
        occupiedPosition["-48,56"] = true;
        occupiedPosition["-48,57"] = true;
        occupiedPosition["-48,58"] = true;
        occupiedPosition["-48,63"] = true;
        occupiedPosition["-48,64"] = true;
        occupiedPosition["-47,-56"] = true;
        occupiedPosition["-47,-55"] = true;
        occupiedPosition["-47,-51"] = true;
        occupiedPosition["-47,-50"] = true;
        occupiedPosition["-47,-38"] = true;
        occupiedPosition["-47,-37"] = true;
        occupiedPosition["-47,-26"] = true;
        occupiedPosition["-47,-25"] = true;
        occupiedPosition["-47,-19"] = true;
        occupiedPosition["-47,-18"] = true;
        occupiedPosition["-47,-12"] = true;
        occupiedPosition["-47,-11"] = true;
        occupiedPosition["-47,-5"] = true;
        occupiedPosition["-47,-4"] = true;
        occupiedPosition["-47,-1"] = true;
        occupiedPosition["-47,0"] = true;
        occupiedPosition["-47,1"] = true;
        occupiedPosition["-47,10"] = true;
        occupiedPosition["-47,11"] = true;
        occupiedPosition["-47,12"] = true;
        occupiedPosition["-47,13"] = true;
        occupiedPosition["-47,14"] = true;
        occupiedPosition["-47,15"] = true;
        occupiedPosition["-47,16"] = true;
        occupiedPosition["-47,17"] = true;
        occupiedPosition["-47,18"] = true;
        occupiedPosition["-47,19"] = true;
        occupiedPosition["-47,20"] = true;
        occupiedPosition["-47,21"] = true;
        occupiedPosition["-47,22"] = true;
        occupiedPosition["-47,23"] = true;
        occupiedPosition["-47,24"] = true;
        occupiedPosition["-47,52"] = true;
        occupiedPosition["-47,53"] = true;
        occupiedPosition["-47,54"] = true;
        occupiedPosition["-47,63"] = true;
        occupiedPosition["-47,64"] = true;
        occupiedPosition["-46,-56"] = true;
        occupiedPosition["-46,-55"] = true;
        occupiedPosition["-46,-54"] = true;
        occupiedPosition["-46,-53"] = true;
        occupiedPosition["-46,-52"] = true;
        occupiedPosition["-46,-51"] = true;
        occupiedPosition["-46,-50"] = true;
        occupiedPosition["-46,-38"] = true;
        occupiedPosition["-46,-37"] = true;
        occupiedPosition["-46,-26"] = true;
        occupiedPosition["-46,-25"] = true;
        occupiedPosition["-46,-19"] = true;
        occupiedPosition["-46,-18"] = true;
        occupiedPosition["-46,-15"] = true;
        occupiedPosition["-46,-14"] = true;
        occupiedPosition["-46,-13"] = true;
        occupiedPosition["-46,-12"] = true;
        occupiedPosition["-46,-11"] = true;
        occupiedPosition["-46,-5"] = true;
        occupiedPosition["-46,-4"] = true;
        occupiedPosition["-46,-1"] = true;
        occupiedPosition["-46,0"] = true;
        occupiedPosition["-46,1"] = true;
        occupiedPosition["-46,10"] = true;
        occupiedPosition["-46,11"] = true;
        occupiedPosition["-46,12"] = true;
        occupiedPosition["-46,13"] = true;
        occupiedPosition["-46,14"] = true;
        occupiedPosition["-46,15"] = true;
        occupiedPosition["-46,16"] = true;
        occupiedPosition["-46,17"] = true;
        occupiedPosition["-46,18"] = true;
        occupiedPosition["-46,19"] = true;
        occupiedPosition["-46,20"] = true;
        occupiedPosition["-46,21"] = true;
        occupiedPosition["-46,22"] = true;
        occupiedPosition["-46,23"] = true;
        occupiedPosition["-46,24"] = true;
        occupiedPosition["-46,52"] = true;
        occupiedPosition["-46,53"] = true;
        occupiedPosition["-46,54"] = true;
        occupiedPosition["-46,64"] = true;
        occupiedPosition["-45,-56"] = true;
        occupiedPosition["-45,-55"] = true;
        occupiedPosition["-45,-54"] = true;
        occupiedPosition["-45,-53"] = true;
        occupiedPosition["-45,-52"] = true;
        occupiedPosition["-45,-51"] = true;
        occupiedPosition["-45,-50"] = true;
        occupiedPosition["-45,-49"] = true;
        occupiedPosition["-45,-38"] = true;
        occupiedPosition["-45,-37"] = true;
        occupiedPosition["-45,-32"] = true;
        occupiedPosition["-45,-31"] = true;
        occupiedPosition["-45,-30"] = true;
        occupiedPosition["-45,-26"] = true;
        occupiedPosition["-45,-25"] = true;
        occupiedPosition["-45,-19"] = true;
        occupiedPosition["-45,-18"] = true;
        occupiedPosition["-45,-15"] = true;
        occupiedPosition["-45,-14"] = true;
        occupiedPosition["-45,-13"] = true;
        occupiedPosition["-45,-12"] = true;
        occupiedPosition["-45,-11"] = true;
        occupiedPosition["-45,-5"] = true;
        occupiedPosition["-45,-4"] = true;
        occupiedPosition["-45,-1"] = true;
        occupiedPosition["-45,0"] = true;
        occupiedPosition["-45,1"] = true;
        occupiedPosition["-45,10"] = true;
        occupiedPosition["-45,11"] = true;
        occupiedPosition["-45,23"] = true;
        occupiedPosition["-45,24"] = true;
        occupiedPosition["-45,50"] = true;
        occupiedPosition["-45,51"] = true;
        occupiedPosition["-45,52"] = true;
        occupiedPosition["-45,53"] = true;
        occupiedPosition["-45,54"] = true;
        occupiedPosition["-45,55"] = true;
        occupiedPosition["-45,56"] = true;
        occupiedPosition["-45,57"] = true;
        occupiedPosition["-45,58"] = true;
        occupiedPosition["-45,63"] = true;
        occupiedPosition["-45,64"] = true;
        occupiedPosition["-44,-56"] = true;
        occupiedPosition["-44,-55"] = true;
        occupiedPosition["-44,-54"] = true;
        occupiedPosition["-44,-53"] = true;
        occupiedPosition["-44,-51"] = true;
        occupiedPosition["-44,-50"] = true;
        occupiedPosition["-44,-49"] = true;
        occupiedPosition["-44,-38"] = true;
        occupiedPosition["-44,-37"] = true;
        occupiedPosition["-44,-32"] = true;
        occupiedPosition["-44,-31"] = true;
        occupiedPosition["-44,-30"] = true;
        occupiedPosition["-44,-29"] = true;
        occupiedPosition["-44,-26"] = true;
        occupiedPosition["-44,-25"] = true;
        occupiedPosition["-44,-19"] = true;
        occupiedPosition["-44,-18"] = true;
        occupiedPosition["-44,-15"] = true;
        occupiedPosition["-44,-14"] = true;
        occupiedPosition["-44,-5"] = true;
        occupiedPosition["-44,-4"] = true;
        occupiedPosition["-44,-1"] = true;
        occupiedPosition["-44,0"] = true;
        occupiedPosition["-44,1"] = true;
        occupiedPosition["-44,10"] = true;
        occupiedPosition["-44,11"] = true;
        occupiedPosition["-44,23"] = true;
        occupiedPosition["-44,24"] = true;
        occupiedPosition["-44,50"] = true;
        occupiedPosition["-44,51"] = true;
        occupiedPosition["-44,52"] = true;
        occupiedPosition["-44,53"] = true;
        occupiedPosition["-44,54"] = true;
        occupiedPosition["-44,55"] = true;
        occupiedPosition["-44,56"] = true;
        occupiedPosition["-44,57"] = true;
        occupiedPosition["-44,58"] = true;
        occupiedPosition["-44,64"] = true;
        occupiedPosition["-43,-56"] = true;
        occupiedPosition["-43,-55"] = true;
        occupiedPosition["-43,-54"] = true;
        occupiedPosition["-43,-53"] = true;
        occupiedPosition["-43,-51"] = true;
        occupiedPosition["-43,-50"] = true;
        occupiedPosition["-43,-49"] = true;
        occupiedPosition["-43,-38"] = true;
        occupiedPosition["-43,-37"] = true;
        occupiedPosition["-43,-35"] = true;
        occupiedPosition["-43,-34"] = true;
        occupiedPosition["-43,-33"] = true;
        occupiedPosition["-43,-32"] = true;
        occupiedPosition["-43,-31"] = true;
        occupiedPosition["-43,-30"] = true;
        occupiedPosition["-43,-29"] = true;
        occupiedPosition["-43,-26"] = true;
        occupiedPosition["-43,-25"] = true;
        occupiedPosition["-43,-19"] = true;
        occupiedPosition["-43,-18"] = true;
        occupiedPosition["-43,-15"] = true;
        occupiedPosition["-43,-14"] = true;
        occupiedPosition["-43,-5"] = true;
        occupiedPosition["-43,-4"] = true;
        occupiedPosition["-43,-1"] = true;
        occupiedPosition["-43,0"] = true;
        occupiedPosition["-43,1"] = true;
        occupiedPosition["-43,4"] = true;
        occupiedPosition["-43,5"] = true;
        occupiedPosition["-43,10"] = true;
        occupiedPosition["-43,11"] = true;
        occupiedPosition["-43,23"] = true;
        occupiedPosition["-43,24"] = true;
        occupiedPosition["-43,26"] = true;
        occupiedPosition["-43,27"] = true;
        occupiedPosition["-43,28"] = true;
        occupiedPosition["-43,33"] = true;
        occupiedPosition["-43,34"] = true;
        occupiedPosition["-43,35"] = true;
        occupiedPosition["-43,36"] = true;
        occupiedPosition["-43,37"] = true;
        occupiedPosition["-43,38"] = true;
        occupiedPosition["-43,50"] = true;
        occupiedPosition["-43,51"] = true;
        occupiedPosition["-43,57"] = true;
        occupiedPosition["-43,58"] = true;
        occupiedPosition["-43,63"] = true;
        occupiedPosition["-43,64"] = true;
        occupiedPosition["-42,-56"] = true;
        occupiedPosition["-42,-55"] = true;
        occupiedPosition["-42,-54"] = true;
        occupiedPosition["-42,-53"] = true;
        occupiedPosition["-42,-52"] = true;
        occupiedPosition["-42,-51"] = true;
        occupiedPosition["-42,-50"] = true;
        occupiedPosition["-42,-49"] = true;
        occupiedPosition["-42,-38"] = true;
        occupiedPosition["-42,-37"] = true;
        occupiedPosition["-42,-35"] = true;
        occupiedPosition["-42,-34"] = true;
        occupiedPosition["-42,-33"] = true;
        occupiedPosition["-42,-32"] = true;
        occupiedPosition["-42,-31"] = true;
        occupiedPosition["-42,-30"] = true;
        occupiedPosition["-42,-29"] = true;
        occupiedPosition["-42,-26"] = true;
        occupiedPosition["-42,-25"] = true;
        occupiedPosition["-42,-24"] = true;
        occupiedPosition["-42,-23"] = true;
        occupiedPosition["-42,-22"] = true;
        occupiedPosition["-42,-21"] = true;
        occupiedPosition["-42,-20"] = true;
        occupiedPosition["-42,-19"] = true;
        occupiedPosition["-42,-18"] = true;
        occupiedPosition["-42,-15"] = true;
        occupiedPosition["-42,-14"] = true;
        occupiedPosition["-42,-13"] = true;
        occupiedPosition["-42,-12"] = true;
        occupiedPosition["-42,-11"] = true;
        occupiedPosition["-42,-10"] = true;
        occupiedPosition["-42,-9"] = true;
        occupiedPosition["-42,-8"] = true;
        occupiedPosition["-42,-7"] = true;
        occupiedPosition["-42,-6"] = true;
        occupiedPosition["-42,-5"] = true;
        occupiedPosition["-42,-4"] = true;
        occupiedPosition["-42,-1"] = true;
        occupiedPosition["-42,0"] = true;
        occupiedPosition["-42,1"] = true;
        occupiedPosition["-42,4"] = true;
        occupiedPosition["-42,5"] = true;
        occupiedPosition["-42,10"] = true;
        occupiedPosition["-42,11"] = true;
        occupiedPosition["-42,23"] = true;
        occupiedPosition["-42,24"] = true;
        occupiedPosition["-42,25"] = true;
        occupiedPosition["-42,26"] = true;
        occupiedPosition["-42,27"] = true;
        occupiedPosition["-42,28"] = true;
        occupiedPosition["-42,33"] = true;
        occupiedPosition["-42,34"] = true;
        occupiedPosition["-42,35"] = true;
        occupiedPosition["-42,36"] = true;
        occupiedPosition["-42,37"] = true;
        occupiedPosition["-42,38"] = true;
        occupiedPosition["-42,50"] = true;
        occupiedPosition["-42,51"] = true;
        occupiedPosition["-42,57"] = true;
        occupiedPosition["-42,58"] = true;
        occupiedPosition["-42,63"] = true;
        occupiedPosition["-42,64"] = true;
        occupiedPosition["-41,-56"] = true;
        occupiedPosition["-41,-55"] = true;
        occupiedPosition["-41,-54"] = true;
        occupiedPosition["-41,-53"] = true;
        occupiedPosition["-41,-52"] = true;
        occupiedPosition["-41,-51"] = true;
        occupiedPosition["-41,-50"] = true;
        occupiedPosition["-41,-49"] = true;
        occupiedPosition["-41,-38"] = true;
        occupiedPosition["-41,-37"] = true;
        occupiedPosition["-41,-35"] = true;
        occupiedPosition["-41,-34"] = true;
        occupiedPosition["-41,-33"] = true;
        occupiedPosition["-41,-32"] = true;
        occupiedPosition["-41,-31"] = true;
        occupiedPosition["-41,-30"] = true;
        occupiedPosition["-41,-29"] = true;
        occupiedPosition["-41,-27"] = true;
        occupiedPosition["-41,-26"] = true;
        occupiedPosition["-41,-25"] = true;
        occupiedPosition["-41,-24"] = true;
        occupiedPosition["-41,-23"] = true;
        occupiedPosition["-41,-22"] = true;
        occupiedPosition["-41,-21"] = true;
        occupiedPosition["-41,-20"] = true;
        occupiedPosition["-41,-19"] = true;
        occupiedPosition["-41,-18"] = true;
        occupiedPosition["-41,-15"] = true;
        occupiedPosition["-41,-14"] = true;
        occupiedPosition["-41,-13"] = true;
        occupiedPosition["-41,-12"] = true;
        occupiedPosition["-41,-11"] = true;
        occupiedPosition["-41,-10"] = true;
        occupiedPosition["-41,-9"] = true;
        occupiedPosition["-41,-8"] = true;
        occupiedPosition["-41,-7"] = true;
        occupiedPosition["-41,-6"] = true;
        occupiedPosition["-41,-5"] = true;
        occupiedPosition["-41,-4"] = true;
        occupiedPosition["-41,-1"] = true;
        occupiedPosition["-41,0"] = true;
        occupiedPosition["-41,1"] = true;
        occupiedPosition["-41,4"] = true;
        occupiedPosition["-41,5"] = true;
        occupiedPosition["-41,10"] = true;
        occupiedPosition["-41,11"] = true;
        occupiedPosition["-41,23"] = true;
        occupiedPosition["-41,24"] = true;
        occupiedPosition["-41,25"] = true;
        occupiedPosition["-41,26"] = true;
        occupiedPosition["-41,27"] = true;
        occupiedPosition["-41,28"] = true;
        occupiedPosition["-41,33"] = true;
        occupiedPosition["-41,34"] = true;
        occupiedPosition["-41,35"] = true;
        occupiedPosition["-41,36"] = true;
        occupiedPosition["-41,37"] = true;
        occupiedPosition["-41,38"] = true;
        occupiedPosition["-41,47"] = true;
        occupiedPosition["-41,48"] = true;
        occupiedPosition["-41,49"] = true;
        occupiedPosition["-41,50"] = true;
        occupiedPosition["-41,51"] = true;
        occupiedPosition["-41,57"] = true;
        occupiedPosition["-41,58"] = true;
        occupiedPosition["-41,64"] = true;
        occupiedPosition["-40,-56"] = true;
        occupiedPosition["-40,-55"] = true;
        occupiedPosition["-40,-51"] = true;
        occupiedPosition["-40,-50"] = true;
        occupiedPosition["-40,-38"] = true;
        occupiedPosition["-40,-37"] = true;
        occupiedPosition["-40,-35"] = true;
        occupiedPosition["-40,-34"] = true;
        occupiedPosition["-40,-33"] = true;
        occupiedPosition["-40,-32"] = true;
        occupiedPosition["-40,-31"] = true;
        occupiedPosition["-40,-30"] = true;
        occupiedPosition["-40,-29"] = true;
        occupiedPosition["-40,-27"] = true;
        occupiedPosition["-40,-26"] = true;
        occupiedPosition["-40,-25"] = true;
        occupiedPosition["-40,-24"] = true;
        occupiedPosition["-40,-23"] = true;
        occupiedPosition["-40,-2"] = true;
        occupiedPosition["-40,-1"] = true;
        occupiedPosition["-40,0"] = true;
        occupiedPosition["-40,1"] = true;
        occupiedPosition["-40,10"] = true;
        occupiedPosition["-40,11"] = true;
        occupiedPosition["-40,14"] = true;
        occupiedPosition["-40,15"] = true;
        occupiedPosition["-40,16"] = true;
        occupiedPosition["-40,17"] = true;
        occupiedPosition["-40,18"] = true;
        occupiedPosition["-40,19"] = true;
        occupiedPosition["-40,20"] = true;
        occupiedPosition["-40,21"] = true;
        occupiedPosition["-40,22"] = true;
        occupiedPosition["-40,23"] = true;
        occupiedPosition["-40,24"] = true;
        occupiedPosition["-40,25"] = true;
        occupiedPosition["-40,26"] = true;
        occupiedPosition["-40,27"] = true;
        occupiedPosition["-40,33"] = true;
        occupiedPosition["-40,34"] = true;
        occupiedPosition["-40,35"] = true;
        occupiedPosition["-40,36"] = true;
        occupiedPosition["-40,37"] = true;
        occupiedPosition["-40,38"] = true;
        occupiedPosition["-40,47"] = true;
        occupiedPosition["-40,48"] = true;
        occupiedPosition["-40,49"] = true;
        occupiedPosition["-40,50"] = true;
        occupiedPosition["-40,51"] = true;
        occupiedPosition["-40,57"] = true;
        occupiedPosition["-40,58"] = true;
        occupiedPosition["-40,63"] = true;
        occupiedPosition["-40,64"] = true;
        occupiedPosition["-39,-56"] = true;
        occupiedPosition["-39,-51"] = true;
        occupiedPosition["-39,-50"] = true;
        occupiedPosition["-39,-38"] = true;
        occupiedPosition["-39,-37"] = true;
        occupiedPosition["-39,-35"] = true;
        occupiedPosition["-39,-34"] = true;
        occupiedPosition["-39,-33"] = true;
        occupiedPosition["-39,-32"] = true;
        occupiedPosition["-39,-31"] = true;
        occupiedPosition["-39,-30"] = true;
        occupiedPosition["-39,-25"] = true;
        occupiedPosition["-39,-24"] = true;
        occupiedPosition["-39,-23"] = true;
        occupiedPosition["-39,-22"] = true;
        occupiedPosition["-39,-3"] = true;
        occupiedPosition["-39,-2"] = true;
        occupiedPosition["-39,-1"] = true;
        occupiedPosition["-39,0"] = true;
        occupiedPosition["-39,1"] = true;
        occupiedPosition["-39,10"] = true;
        occupiedPosition["-39,11"] = true;
        occupiedPosition["-39,14"] = true;
        occupiedPosition["-39,15"] = true;
        occupiedPosition["-39,16"] = true;
        occupiedPosition["-39,17"] = true;
        occupiedPosition["-39,18"] = true;
        occupiedPosition["-39,19"] = true;
        occupiedPosition["-39,20"] = true;
        occupiedPosition["-39,21"] = true;
        occupiedPosition["-39,22"] = true;
        occupiedPosition["-39,23"] = true;
        occupiedPosition["-39,24"] = true;
        occupiedPosition["-39,25"] = true;
        occupiedPosition["-39,33"] = true;
        occupiedPosition["-39,34"] = true;
        occupiedPosition["-39,35"] = true;
        occupiedPosition["-39,36"] = true;
        occupiedPosition["-39,37"] = true;
        occupiedPosition["-39,38"] = true;
        occupiedPosition["-39,46"] = true;
        occupiedPosition["-39,47"] = true;
        occupiedPosition["-39,48"] = true;
        occupiedPosition["-39,50"] = true;
        occupiedPosition["-39,51"] = true;
        occupiedPosition["-39,57"] = true;
        occupiedPosition["-39,58"] = true;
        occupiedPosition["-39,64"] = true;
        occupiedPosition["-38,-51"] = true;
        occupiedPosition["-38,-50"] = true;
        occupiedPosition["-38,-38"] = true;
        occupiedPosition["-38,-37"] = true;
        occupiedPosition["-38,-35"] = true;
        occupiedPosition["-38,-34"] = true;
        occupiedPosition["-38,-25"] = true;
        occupiedPosition["-38,-24"] = true;
        occupiedPosition["-38,-23"] = true;
        occupiedPosition["-38,-22"] = true;
        occupiedPosition["-38,4"] = true;
        occupiedPosition["-38,10"] = true;
        occupiedPosition["-38,11"] = true;
        occupiedPosition["-38,14"] = true;
        occupiedPosition["-38,15"] = true;
        occupiedPosition["-38,24"] = true;
        occupiedPosition["-38,25"] = true;
        occupiedPosition["-38,33"] = true;
        occupiedPosition["-38,34"] = true;
        occupiedPosition["-38,35"] = true;
        occupiedPosition["-38,36"] = true;
        occupiedPosition["-38,37"] = true;
        occupiedPosition["-38,38"] = true;
        occupiedPosition["-38,45"] = true;
        occupiedPosition["-38,46"] = true;
        occupiedPosition["-38,47"] = true;
        occupiedPosition["-38,48"] = true;
        occupiedPosition["-38,50"] = true;
        occupiedPosition["-38,51"] = true;
        occupiedPosition["-38,57"] = true;
        occupiedPosition["-38,58"] = true;
        occupiedPosition["-37,-51"] = true;
        occupiedPosition["-37,-50"] = true;
        occupiedPosition["-37,-38"] = true;
        occupiedPosition["-37,-37"] = true;
        occupiedPosition["-37,-36"] = true;
        occupiedPosition["-37,-35"] = true;
        occupiedPosition["-37,-24"] = true;
        occupiedPosition["-37,-23"] = true;
        occupiedPosition["-37,-22"] = true;
        occupiedPosition["-37,4"] = true;
        occupiedPosition["-37,5"] = true;
        occupiedPosition["-37,10"] = true;
        occupiedPosition["-37,11"] = true;
        occupiedPosition["-37,12"] = true;
        occupiedPosition["-37,13"] = true;
        occupiedPosition["-37,14"] = true;
        occupiedPosition["-37,15"] = true;
        occupiedPosition["-37,33"] = true;
        occupiedPosition["-37,34"] = true;
        occupiedPosition["-37,35"] = true;
        occupiedPosition["-37,36"] = true;
        occupiedPosition["-37,37"] = true;
        occupiedPosition["-37,38"] = true;
        occupiedPosition["-37,45"] = true;
        occupiedPosition["-37,46"] = true;
        occupiedPosition["-37,47"] = true;
        occupiedPosition["-37,48"] = true;
        occupiedPosition["-37,49"] = true;
        occupiedPosition["-37,50"] = true;
        occupiedPosition["-37,51"] = true;
        occupiedPosition["-37,57"] = true;
        occupiedPosition["-37,58"] = true;
        occupiedPosition["-36,-51"] = true;
        occupiedPosition["-36,-50"] = true;
        occupiedPosition["-36,-38"] = true;
        occupiedPosition["-36,-37"] = true;
        occupiedPosition["-36,-36"] = true;
        occupiedPosition["-36,-35"] = true;
        occupiedPosition["-36,-34"] = true;
        occupiedPosition["-36,4"] = true;
        occupiedPosition["-36,5"] = true;
        occupiedPosition["-36,10"] = true;
        occupiedPosition["-36,11"] = true;
        occupiedPosition["-36,12"] = true;
        occupiedPosition["-36,13"] = true;
        occupiedPosition["-36,14"] = true;
        occupiedPosition["-36,15"] = true;
        occupiedPosition["-36,21"] = true;
        occupiedPosition["-36,22"] = true;
        occupiedPosition["-36,23"] = true;
        occupiedPosition["-36,24"] = true;
        occupiedPosition["-36,25"] = true;
        occupiedPosition["-36,47"] = true;
        occupiedPosition["-36,48"] = true;
        occupiedPosition["-36,49"] = true;
        occupiedPosition["-36,50"] = true;
        occupiedPosition["-36,51"] = true;
        occupiedPosition["-36,57"] = true;
        occupiedPosition["-36,58"] = true;
        occupiedPosition["-35,-51"] = true;
        occupiedPosition["-35,-50"] = true;
        occupiedPosition["-35,-38"] = true;
        occupiedPosition["-35,-37"] = true;
        occupiedPosition["-35,-36"] = true;
        occupiedPosition["-35,-35"] = true;
        occupiedPosition["-35,-34"] = true;
        occupiedPosition["-35,4"] = true;
        occupiedPosition["-35,20"] = true;
        occupiedPosition["-35,21"] = true;
        occupiedPosition["-35,22"] = true;
        occupiedPosition["-35,23"] = true;
        occupiedPosition["-35,24"] = true;
        occupiedPosition["-35,25"] = true;
        occupiedPosition["-35,26"] = true;
        occupiedPosition["-35,47"] = true;
        occupiedPosition["-35,48"] = true;
        occupiedPosition["-35,49"] = true;
        occupiedPosition["-35,50"] = true;
        occupiedPosition["-35,51"] = true;
        occupiedPosition["-35,57"] = true;
        occupiedPosition["-35,58"] = true;
        occupiedPosition["-35,60"] = true;
        occupiedPosition["-35,61"] = true;
        occupiedPosition["-34,-51"] = true;
        occupiedPosition["-34,-50"] = true;
        occupiedPosition["-34,-38"] = true;
        occupiedPosition["-34,-37"] = true;
        occupiedPosition["-34,-36"] = true;
        occupiedPosition["-34,-35"] = true;
        occupiedPosition["-34,-34"] = true;
        occupiedPosition["-34,20"] = true;
        occupiedPosition["-34,21"] = true;
        occupiedPosition["-34,22"] = true;
        occupiedPosition["-34,23"] = true;
        occupiedPosition["-34,24"] = true;
        occupiedPosition["-34,25"] = true;
        occupiedPosition["-34,26"] = true;
        occupiedPosition["-34,47"] = true;
        occupiedPosition["-34,48"] = true;
        occupiedPosition["-34,49"] = true;
        occupiedPosition["-34,50"] = true;
        occupiedPosition["-34,51"] = true;
        occupiedPosition["-34,57"] = true;
        occupiedPosition["-34,58"] = true;
        occupiedPosition["-34,59"] = true;
        occupiedPosition["-34,60"] = true;
        occupiedPosition["-34,61"] = true;
        occupiedPosition["-34,62"] = true;
        occupiedPosition["-33,-51"] = true;
        occupiedPosition["-33,-50"] = true;
        occupiedPosition["-33,-38"] = true;
        occupiedPosition["-33,-37"] = true;
        occupiedPosition["-33,-36"] = true;
        occupiedPosition["-33,-35"] = true;
        occupiedPosition["-33,-34"] = true;
        occupiedPosition["-33,20"] = true;
        occupiedPosition["-33,21"] = true;
        occupiedPosition["-33,22"] = true;
        occupiedPosition["-33,23"] = true;
        occupiedPosition["-33,24"] = true;
        occupiedPosition["-33,25"] = true;
        occupiedPosition["-33,26"] = true;
        occupiedPosition["-33,49"] = true;
        occupiedPosition["-33,50"] = true;
        occupiedPosition["-33,51"] = true;
        occupiedPosition["-33,52"] = true;
        occupiedPosition["-33,53"] = true;
        occupiedPosition["-33,54"] = true;
        occupiedPosition["-33,55"] = true;
        occupiedPosition["-33,56"] = true;
        occupiedPosition["-33,57"] = true;
        occupiedPosition["-33,58"] = true;
        occupiedPosition["-33,59"] = true;
        occupiedPosition["-33,60"] = true;
        occupiedPosition["-33,61"] = true;
        occupiedPosition["-33,62"] = true;
        occupiedPosition["-32,-51"] = true;
        occupiedPosition["-32,-50"] = true;
        occupiedPosition["-32,-38"] = true;
        occupiedPosition["-32,-37"] = true;
        occupiedPosition["-32,-36"] = true;
        occupiedPosition["-32,-35"] = true;
        occupiedPosition["-32,-28"] = true;
        occupiedPosition["-32,-27"] = true;
        occupiedPosition["-32,-26"] = true;
        occupiedPosition["-32,-25"] = true;
        occupiedPosition["-32,-24"] = true;
        occupiedPosition["-32,-23"] = true;
        occupiedPosition["-32,-22"] = true;
        occupiedPosition["-32,22"] = true;
        occupiedPosition["-32,23"] = true;
        occupiedPosition["-32,24"] = true;
        occupiedPosition["-32,25"] = true;
        occupiedPosition["-32,26"] = true;
        occupiedPosition["-32,50"] = true;
        occupiedPosition["-32,51"] = true;
        occupiedPosition["-32,52"] = true;
        occupiedPosition["-32,53"] = true;
        occupiedPosition["-32,54"] = true;
        occupiedPosition["-32,55"] = true;
        occupiedPosition["-32,56"] = true;
        occupiedPosition["-32,57"] = true;
        occupiedPosition["-32,58"] = true;
        occupiedPosition["-32,60"] = true;
        occupiedPosition["-32,61"] = true;
        occupiedPosition["-31,-51"] = true;
        occupiedPosition["-31,-50"] = true;
        occupiedPosition["-31,-49"] = true;
        occupiedPosition["-31,-48"] = true;
        occupiedPosition["-31,-47"] = true;
        occupiedPosition["-31,-46"] = true;
        occupiedPosition["-31,-45"] = true;
        occupiedPosition["-31,-44"] = true;
        occupiedPosition["-31,-43"] = true;
        occupiedPosition["-31,-42"] = true;
        occupiedPosition["-31,-41"] = true;
        occupiedPosition["-31,-40"] = true;
        occupiedPosition["-31,-39"] = true;
        occupiedPosition["-31,-38"] = true;
        occupiedPosition["-31,-37"] = true;
        occupiedPosition["-31,-28"] = true;
        occupiedPosition["-31,-27"] = true;
        occupiedPosition["-31,-26"] = true;
        occupiedPosition["-31,-25"] = true;
        occupiedPosition["-31,-24"] = true;
        occupiedPosition["-31,-23"] = true;
        occupiedPosition["-31,-22"] = true;
        occupiedPosition["-31,22"] = true;
        occupiedPosition["-31,23"] = true;
        occupiedPosition["-31,24"] = true;
        occupiedPosition["-31,25"] = true;
        occupiedPosition["-31,26"] = true;
        occupiedPosition["-31,27"] = true;
        occupiedPosition["-31,29"] = true;
        occupiedPosition["-31,30"] = true;
        occupiedPosition["-31,31"] = true;
        occupiedPosition["-31,32"] = true;
        occupiedPosition["-31,45"] = true;
        occupiedPosition["-31,46"] = true;
        occupiedPosition["-31,48"] = true;
        occupiedPosition["-31,49"] = true;
        occupiedPosition["-31,50"] = true;
        occupiedPosition["-30,-50"] = true;
        occupiedPosition["-30,-49"] = true;
        occupiedPosition["-30,-48"] = true;
        occupiedPosition["-30,-47"] = true;
        occupiedPosition["-30,-46"] = true;
        occupiedPosition["-30,-45"] = true;
        occupiedPosition["-30,-44"] = true;
        occupiedPosition["-30,-43"] = true;
        occupiedPosition["-30,-42"] = true;
        occupiedPosition["-30,-41"] = true;
        occupiedPosition["-30,-40"] = true;
        occupiedPosition["-30,-39"] = true;
        occupiedPosition["-30,-38"] = true;
        occupiedPosition["-30,-37"] = true;
        occupiedPosition["-30,-28"] = true;
        occupiedPosition["-30,-27"] = true;
        occupiedPosition["-30,-26"] = true;
        occupiedPosition["-30,-25"] = true;
        occupiedPosition["-30,-24"] = true;
        occupiedPosition["-30,-23"] = true;
        occupiedPosition["-30,-22"] = true;
        occupiedPosition["-30,22"] = true;
        occupiedPosition["-30,23"] = true;
        occupiedPosition["-30,24"] = true;
        occupiedPosition["-30,25"] = true;
        occupiedPosition["-30,26"] = true;
        occupiedPosition["-30,27"] = true;
        occupiedPosition["-30,28"] = true;
        occupiedPosition["-30,29"] = true;
        occupiedPosition["-30,30"] = true;
        occupiedPosition["-30,31"] = true;
        occupiedPosition["-30,32"] = true;
        occupiedPosition["-30,33"] = true;
        occupiedPosition["-30,45"] = true;
        occupiedPosition["-30,46"] = true;
        occupiedPosition["-30,47"] = true;
        occupiedPosition["-30,48"] = true;
        occupiedPosition["-30,49"] = true;
        occupiedPosition["-30,50"] = true;
        occupiedPosition["-30,51"] = true;
        occupiedPosition["-30,52"] = true;
        occupiedPosition["-30,53"] = true;
        occupiedPosition["-30,54"] = true;
        occupiedPosition["-30,55"] = true;
        occupiedPosition["-30,56"] = true;
        occupiedPosition["-29,-51"] = true;
        occupiedPosition["-29,-50"] = true;
        occupiedPosition["-29,-43"] = true;
        occupiedPosition["-29,-42"] = true;
        occupiedPosition["-29,-41"] = true;
        occupiedPosition["-29,-40"] = true;
        occupiedPosition["-29,-39"] = true;
        occupiedPosition["-29,-28"] = true;
        occupiedPosition["-29,-27"] = true;
        occupiedPosition["-29,-26"] = true;
        occupiedPosition["-29,-25"] = true;
        occupiedPosition["-29,-24"] = true;
        occupiedPosition["-29,-23"] = true;
        occupiedPosition["-29,-22"] = true;
        occupiedPosition["-29,28"] = true;
        occupiedPosition["-29,29"] = true;
        occupiedPosition["-29,30"] = true;
        occupiedPosition["-29,31"] = true;
        occupiedPosition["-29,32"] = true;
        occupiedPosition["-29,33"] = true;
        occupiedPosition["-29,44"] = true;
        occupiedPosition["-29,45"] = true;
        occupiedPosition["-29,46"] = true;
        occupiedPosition["-29,47"] = true;
        occupiedPosition["-29,48"] = true;
        occupiedPosition["-29,49"] = true;
        occupiedPosition["-29,50"] = true;
        occupiedPosition["-29,51"] = true;
        occupiedPosition["-29,52"] = true;
        occupiedPosition["-29,53"] = true;
        occupiedPosition["-29,54"] = true;
        occupiedPosition["-29,55"] = true;
        occupiedPosition["-29,56"] = true;
        occupiedPosition["-28,-51"] = true;
        occupiedPosition["-28,-50"] = true;
        occupiedPosition["-28,-49"] = true;
        occupiedPosition["-28,-28"] = true;
        occupiedPosition["-28,-27"] = true;
        occupiedPosition["-28,-26"] = true;
        occupiedPosition["-28,-25"] = true;
        occupiedPosition["-28,-24"] = true;
        occupiedPosition["-28,-23"] = true;
        occupiedPosition["-28,-22"] = true;
        occupiedPosition["-28,-2"] = true;
        occupiedPosition["-28,4"] = true;
        occupiedPosition["-28,5"] = true;
        occupiedPosition["-28,9"] = true;
        occupiedPosition["-28,10"] = true;
        occupiedPosition["-28,11"] = true;
        occupiedPosition["-28,12"] = true;
        occupiedPosition["-28,13"] = true;
        occupiedPosition["-28,14"] = true;
        occupiedPosition["-28,15"] = true;
        occupiedPosition["-28,16"] = true;
        occupiedPosition["-28,17"] = true;
        occupiedPosition["-28,18"] = true;
        occupiedPosition["-28,19"] = true;
        occupiedPosition["-28,20"] = true;
        occupiedPosition["-28,21"] = true;
        occupiedPosition["-28,22"] = true;
        occupiedPosition["-28,23"] = true;
        occupiedPosition["-28,24"] = true;
        occupiedPosition["-28,25"] = true;
        occupiedPosition["-28,26"] = true;
        occupiedPosition["-28,27"] = true;
        occupiedPosition["-28,28"] = true;
        occupiedPosition["-28,29"] = true;
        occupiedPosition["-28,30"] = true;
        occupiedPosition["-28,31"] = true;
        occupiedPosition["-28,32"] = true;
        occupiedPosition["-28,33"] = true;
        occupiedPosition["-28,34"] = true;
        occupiedPosition["-28,35"] = true;
        occupiedPosition["-28,44"] = true;
        occupiedPosition["-28,45"] = true;
        occupiedPosition["-28,46"] = true;
        occupiedPosition["-28,47"] = true;
        occupiedPosition["-28,48"] = true;
        occupiedPosition["-28,49"] = true;
        occupiedPosition["-28,50"] = true;
        occupiedPosition["-28,51"] = true;
        occupiedPosition["-28,52"] = true;
        occupiedPosition["-28,55"] = true;
        occupiedPosition["-28,56"] = true;
        occupiedPosition["-27,-51"] = true;
        occupiedPosition["-27,-50"] = true;
        occupiedPosition["-27,-49"] = true;
        occupiedPosition["-27,-28"] = true;
        occupiedPosition["-27,-27"] = true;
        occupiedPosition["-27,-26"] = true;
        occupiedPosition["-27,-25"] = true;
        occupiedPosition["-27,-24"] = true;
        occupiedPosition["-27,-23"] = true;
        occupiedPosition["-27,-22"] = true;
        occupiedPosition["-27,-3"] = true;
        occupiedPosition["-27,-2"] = true;
        occupiedPosition["-27,-1"] = true;
        occupiedPosition["-27,0"] = true;
        occupiedPosition["-27,1"] = true;
        occupiedPosition["-27,4"] = true;
        occupiedPosition["-27,5"] = true;
        occupiedPosition["-27,9"] = true;
        occupiedPosition["-27,10"] = true;
        occupiedPosition["-27,11"] = true;
        occupiedPosition["-27,12"] = true;
        occupiedPosition["-27,13"] = true;
        occupiedPosition["-27,14"] = true;
        occupiedPosition["-27,15"] = true;
        occupiedPosition["-27,16"] = true;
        occupiedPosition["-27,17"] = true;
        occupiedPosition["-27,18"] = true;
        occupiedPosition["-27,19"] = true;
        occupiedPosition["-27,20"] = true;
        occupiedPosition["-27,21"] = true;
        occupiedPosition["-27,22"] = true;
        occupiedPosition["-27,23"] = true;
        occupiedPosition["-27,24"] = true;
        occupiedPosition["-27,25"] = true;
        occupiedPosition["-27,26"] = true;
        occupiedPosition["-27,27"] = true;
        occupiedPosition["-27,28"] = true;
        occupiedPosition["-27,29"] = true;
        occupiedPosition["-27,30"] = true;
        occupiedPosition["-27,31"] = true;
        occupiedPosition["-27,32"] = true;
        occupiedPosition["-27,33"] = true;
        occupiedPosition["-27,34"] = true;
        occupiedPosition["-27,35"] = true;
        occupiedPosition["-27,44"] = true;
        occupiedPosition["-27,45"] = true;
        occupiedPosition["-27,46"] = true;
        occupiedPosition["-27,47"] = true;
        occupiedPosition["-27,48"] = true;
        occupiedPosition["-27,49"] = true;
        occupiedPosition["-27,50"] = true;
        occupiedPosition["-27,51"] = true;
        occupiedPosition["-27,52"] = true;
        occupiedPosition["-27,55"] = true;
        occupiedPosition["-27,56"] = true;
        occupiedPosition["-27,64"] = true;
        occupiedPosition["-26,-51"] = true;
        occupiedPosition["-26,-50"] = true;
        occupiedPosition["-26,-49"] = true;
        occupiedPosition["-26,-3"] = true;
        occupiedPosition["-26,-2"] = true;
        occupiedPosition["-26,-1"] = true;
        occupiedPosition["-26,0"] = true;
        occupiedPosition["-26,1"] = true;
        occupiedPosition["-26,4"] = true;
        occupiedPosition["-26,5"] = true;
        occupiedPosition["-26,6"] = true;
        occupiedPosition["-26,9"] = true;
        occupiedPosition["-26,10"] = true;
        occupiedPosition["-26,34"] = true;
        occupiedPosition["-26,35"] = true;
        occupiedPosition["-26,36"] = true;
        occupiedPosition["-26,44"] = true;
        occupiedPosition["-26,45"] = true;
        occupiedPosition["-26,46"] = true;
        occupiedPosition["-26,47"] = true;
        occupiedPosition["-26,49"] = true;
        occupiedPosition["-26,50"] = true;
        occupiedPosition["-26,51"] = true;
        occupiedPosition["-26,52"] = true;
        occupiedPosition["-26,53"] = true;
        occupiedPosition["-26,54"] = true;
        occupiedPosition["-26,55"] = true;
        occupiedPosition["-26,56"] = true;
        occupiedPosition["-26,64"] = true;
        occupiedPosition["-25,-16"] = true;
        occupiedPosition["-25,0"] = true;
        occupiedPosition["-25,1"] = true;
        occupiedPosition["-25,4"] = true;
        occupiedPosition["-25,5"] = true;
        occupiedPosition["-25,9"] = true;
        occupiedPosition["-25,10"] = true;
        occupiedPosition["-25,34"] = true;
        occupiedPosition["-25,35"] = true;
        occupiedPosition["-25,36"] = true;
        occupiedPosition["-25,49"] = true;
        occupiedPosition["-25,50"] = true;
        occupiedPosition["-25,51"] = true;
        occupiedPosition["-25,52"] = true;
        occupiedPosition["-25,53"] = true;
        occupiedPosition["-25,54"] = true;
        occupiedPosition["-25,55"] = true;
        occupiedPosition["-25,56"] = true;
        occupiedPosition["-25,57"] = true;
        occupiedPosition["-25,64"] = true;
        occupiedPosition["-24,-17"] = true;
        occupiedPosition["-24,-16"] = true;
        occupiedPosition["-24,-15"] = true;
        occupiedPosition["-24,-1"] = true;
        occupiedPosition["-24,0"] = true;
        occupiedPosition["-24,1"] = true;
        occupiedPosition["-24,9"] = true;
        occupiedPosition["-24,10"] = true;
        occupiedPosition["-24,34"] = true;
        occupiedPosition["-24,35"] = true;
        occupiedPosition["-24,36"] = true;
        occupiedPosition["-24,49"] = true;
        occupiedPosition["-24,50"] = true;
        occupiedPosition["-24,51"] = true;
        occupiedPosition["-24,52"] = true;
        occupiedPosition["-24,53"] = true;
        occupiedPosition["-24,54"] = true;
        occupiedPosition["-24,55"] = true;
        occupiedPosition["-24,56"] = true;
        occupiedPosition["-24,63"] = true;
        occupiedPosition["-24,64"] = true;
        occupiedPosition["-23,-17"] = true;
        occupiedPosition["-23,-16"] = true;
        occupiedPosition["-23,-15"] = true;
        occupiedPosition["-23,-4"] = true;
        occupiedPosition["-23,-3"] = true;
        occupiedPosition["-23,0"] = true;
        occupiedPosition["-23,1"] = true;
        occupiedPosition["-23,9"] = true;
        occupiedPosition["-23,10"] = true;
        occupiedPosition["-23,34"] = true;
        occupiedPosition["-23,35"] = true;
        occupiedPosition["-23,36"] = true;
        occupiedPosition["-23,64"] = true;
        occupiedPosition["-22,-56"] = true;
        occupiedPosition["-22,-54"] = true;
        occupiedPosition["-22,-53"] = true;
        occupiedPosition["-22,-52"] = true;
        occupiedPosition["-22,-51"] = true;
        occupiedPosition["-22,-50"] = true;
        occupiedPosition["-22,-49"] = true;
        occupiedPosition["-22,-45"] = true;
        occupiedPosition["-22,-44"] = true;
        occupiedPosition["-22,-43"] = true;
        occupiedPosition["-22,-17"] = true;
        occupiedPosition["-22,-16"] = true;
        occupiedPosition["-22,-15"] = true;
        occupiedPosition["-22,-5"] = true;
        occupiedPosition["-22,-4"] = true;
        occupiedPosition["-22,-3"] = true;
        occupiedPosition["-22,-2"] = true;
        occupiedPosition["-22,-1"] = true;
        occupiedPosition["-22,0"] = true;
        occupiedPosition["-22,1"] = true;
        occupiedPosition["-22,9"] = true;
        occupiedPosition["-22,10"] = true;
        occupiedPosition["-22,34"] = true;
        occupiedPosition["-22,35"] = true;
        occupiedPosition["-22,36"] = true;
        occupiedPosition["-22,43"] = true;
        occupiedPosition["-22,44"] = true;
        occupiedPosition["-22,45"] = true;
        occupiedPosition["-22,63"] = true;
        occupiedPosition["-22,64"] = true;
        occupiedPosition["-21,-56"] = true;
        occupiedPosition["-21,-55"] = true;
        occupiedPosition["-21,-54"] = true;
        occupiedPosition["-21,-53"] = true;
        occupiedPosition["-21,-52"] = true;
        occupiedPosition["-21,-51"] = true;
        occupiedPosition["-21,-50"] = true;
        occupiedPosition["-21,-49"] = true;
        occupiedPosition["-21,-45"] = true;
        occupiedPosition["-21,-44"] = true;
        occupiedPosition["-21,-43"] = true;
        occupiedPosition["-21,-39"] = true;
        occupiedPosition["-21,-38"] = true;
        occupiedPosition["-21,-37"] = true;
        occupiedPosition["-21,-36"] = true;
        occupiedPosition["-21,-5"] = true;
        occupiedPosition["-21,-4"] = true;
        occupiedPosition["-21,-3"] = true;
        occupiedPosition["-21,-2"] = true;
        occupiedPosition["-21,-1"] = true;
        occupiedPosition["-21,0"] = true;
        occupiedPosition["-21,1"] = true;
        occupiedPosition["-21,9"] = true;
        occupiedPosition["-21,10"] = true;
        occupiedPosition["-21,34"] = true;
        occupiedPosition["-21,35"] = true;
        occupiedPosition["-21,43"] = true;
        occupiedPosition["-21,44"] = true;
        occupiedPosition["-21,45"] = true;
        occupiedPosition["-21,46"] = true;
        occupiedPosition["-21,63"] = true;
        occupiedPosition["-21,64"] = true;
        occupiedPosition["-20,-56"] = true;
        occupiedPosition["-20,-55"] = true;
        occupiedPosition["-20,-54"] = true;
        occupiedPosition["-20,-53"] = true;
        occupiedPosition["-20,-50"] = true;
        occupiedPosition["-20,-49"] = true;
        occupiedPosition["-20,-45"] = true;
        occupiedPosition["-20,-44"] = true;
        occupiedPosition["-20,-43"] = true;
        occupiedPosition["-20,-39"] = true;
        occupiedPosition["-20,-38"] = true;
        occupiedPosition["-20,-37"] = true;
        occupiedPosition["-20,-36"] = true;
        occupiedPosition["-20,-35"] = true;
        occupiedPosition["-20,-34"] = true;
        occupiedPosition["-20,-28"] = true;
        occupiedPosition["-20,-27"] = true;
        occupiedPosition["-20,-4"] = true;
        occupiedPosition["-20,-3"] = true;
        occupiedPosition["-20,-2"] = true;
        occupiedPosition["-20,-1"] = true;
        occupiedPosition["-20,0"] = true;
        occupiedPosition["-20,1"] = true;
        occupiedPosition["-20,9"] = true;
        occupiedPosition["-20,10"] = true;
        occupiedPosition["-20,34"] = true;
        occupiedPosition["-20,35"] = true;
        occupiedPosition["-20,43"] = true;
        occupiedPosition["-20,44"] = true;
        occupiedPosition["-20,45"] = true;
        occupiedPosition["-20,64"] = true;
        occupiedPosition["-19,-56"] = true;
        occupiedPosition["-19,-55"] = true;
        occupiedPosition["-19,-54"] = true;
        occupiedPosition["-19,-53"] = true;
        occupiedPosition["-19,-50"] = true;
        occupiedPosition["-19,-49"] = true;
        occupiedPosition["-19,-44"] = true;
        occupiedPosition["-19,-39"] = true;
        occupiedPosition["-19,-38"] = true;
        occupiedPosition["-19,-37"] = true;
        occupiedPosition["-19,-36"] = true;
        occupiedPosition["-19,-35"] = true;
        occupiedPosition["-19,-34"] = true;
        occupiedPosition["-19,-28"] = true;
        occupiedPosition["-19,-27"] = true;
        occupiedPosition["-19,-26"] = true;
        occupiedPosition["-19,-1"] = true;
        occupiedPosition["-19,0"] = true;
        occupiedPosition["-19,1"] = true;
        occupiedPosition["-19,9"] = true;
        occupiedPosition["-19,10"] = true;
        occupiedPosition["-19,34"] = true;
        occupiedPosition["-19,35"] = true;
        occupiedPosition["-19,63"] = true;
        occupiedPosition["-19,64"] = true;
        occupiedPosition["-18,-56"] = true;
        occupiedPosition["-18,-55"] = true;
        occupiedPosition["-18,-54"] = true;
        occupiedPosition["-18,-53"] = true;
        occupiedPosition["-18,-52"] = true;
        occupiedPosition["-18,-51"] = true;
        occupiedPosition["-18,-50"] = true;
        occupiedPosition["-18,-49"] = true;
        occupiedPosition["-18,-39"] = true;
        occupiedPosition["-18,-38"] = true;
        occupiedPosition["-18,-37"] = true;
        occupiedPosition["-18,-36"] = true;
        occupiedPosition["-18,-35"] = true;
        occupiedPosition["-18,-31"] = true;
        occupiedPosition["-18,-30"] = true;
        occupiedPosition["-18,-29"] = true;
        occupiedPosition["-18,-28"] = true;
        occupiedPosition["-18,-27"] = true;
        occupiedPosition["-18,-26"] = true;
        occupiedPosition["-18,-25"] = true;
        occupiedPosition["-18,-24"] = true;
        occupiedPosition["-18,-13"] = true;
        occupiedPosition["-18,-12"] = true;
        occupiedPosition["-18,-11"] = true;
        occupiedPosition["-18,-10"] = true;
        occupiedPosition["-18,-9"] = true;
        occupiedPosition["-18,-8"] = true;
        occupiedPosition["-18,-1"] = true;
        occupiedPosition["-18,0"] = true;
        occupiedPosition["-18,1"] = true;
        occupiedPosition["-18,9"] = true;
        occupiedPosition["-18,10"] = true;
        occupiedPosition["-18,34"] = true;
        occupiedPosition["-18,35"] = true;
        occupiedPosition["-18,64"] = true;
        occupiedPosition["-17,-56"] = true;
        occupiedPosition["-17,-55"] = true;
        occupiedPosition["-17,-53"] = true;
        occupiedPosition["-17,-52"] = true;
        occupiedPosition["-17,-51"] = true;
        occupiedPosition["-17,-50"] = true;
        occupiedPosition["-17,-49"] = true;
        occupiedPosition["-17,-38"] = true;
        occupiedPosition["-17,-37"] = true;
        occupiedPosition["-17,-36"] = true;
        occupiedPosition["-17,-35"] = true;
        occupiedPosition["-17,-34"] = true;
        occupiedPosition["-17,-31"] = true;
        occupiedPosition["-17,-30"] = true;
        occupiedPosition["-17,-29"] = true;
        occupiedPosition["-17,-28"] = true;
        occupiedPosition["-17,-27"] = true;
        occupiedPosition["-17,-26"] = true;
        occupiedPosition["-17,-25"] = true;
        occupiedPosition["-17,-24"] = true;
        occupiedPosition["-17,-13"] = true;
        occupiedPosition["-17,-12"] = true;
        occupiedPosition["-17,-11"] = true;
        occupiedPosition["-17,-10"] = true;
        occupiedPosition["-17,-9"] = true;
        occupiedPosition["-17,-8"] = true;
        occupiedPosition["-17,-5"] = true;
        occupiedPosition["-17,-4"] = true;
        occupiedPosition["-17,-3"] = true;
        occupiedPosition["-17,-1"] = true;
        occupiedPosition["-17,0"] = true;
        occupiedPosition["-17,1"] = true;
        occupiedPosition["-17,9"] = true;
        occupiedPosition["-17,10"] = true;
        occupiedPosition["-17,34"] = true;
        occupiedPosition["-17,35"] = true;
        occupiedPosition["-17,64"] = true;
        occupiedPosition["-16,-56"] = true;
        occupiedPosition["-16,-55"] = true;
        occupiedPosition["-16,-54"] = true;
        occupiedPosition["-16,-53"] = true;
        occupiedPosition["-16,-52"] = true;
        occupiedPosition["-16,-51"] = true;
        occupiedPosition["-16,-50"] = true;
        occupiedPosition["-16,-49"] = true;
        occupiedPosition["-16,-41"] = true;
        occupiedPosition["-16,-40"] = true;
        occupiedPosition["-16,-39"] = true;
        occupiedPosition["-16,-38"] = true;
        occupiedPosition["-16,-37"] = true;
        occupiedPosition["-16,-36"] = true;
        occupiedPosition["-16,-35"] = true;
        occupiedPosition["-16,-34"] = true;
        occupiedPosition["-16,-32"] = true;
        occupiedPosition["-16,-31"] = true;
        occupiedPosition["-16,-30"] = true;
        occupiedPosition["-16,-29"] = true;
        occupiedPosition["-16,-28"] = true;
        occupiedPosition["-16,-25"] = true;
        occupiedPosition["-16,-24"] = true;
        occupiedPosition["-16,-13"] = true;
        occupiedPosition["-16,-12"] = true;
        occupiedPosition["-16,-9"] = true;
        occupiedPosition["-16,-8"] = true;
        occupiedPosition["-16,-5"] = true;
        occupiedPosition["-16,-4"] = true;
        occupiedPosition["-16,-3"] = true;
        occupiedPosition["-16,-1"] = true;
        occupiedPosition["-16,0"] = true;
        occupiedPosition["-16,1"] = true;
        occupiedPosition["-16,9"] = true;
        occupiedPosition["-16,10"] = true;
        occupiedPosition["-16,20"] = true;
        occupiedPosition["-16,21"] = true;
        occupiedPosition["-16,22"] = true;
        occupiedPosition["-16,23"] = true;
        occupiedPosition["-16,24"] = true;
        occupiedPosition["-16,34"] = true;
        occupiedPosition["-16,35"] = true;
        occupiedPosition["-16,37"] = true;
        occupiedPosition["-16,38"] = true;
        occupiedPosition["-16,39"] = true;
        occupiedPosition["-16,43"] = true;
        occupiedPosition["-16,44"] = true;
        occupiedPosition["-16,45"] = true;
        occupiedPosition["-16,46"] = true;
        occupiedPosition["-16,47"] = true;
        occupiedPosition["-16,48"] = true;
        occupiedPosition["-16,49"] = true;
        occupiedPosition["-16,50"] = true;
        occupiedPosition["-16,51"] = true;
        occupiedPosition["-16,52"] = true;
        occupiedPosition["-16,53"] = true;
        occupiedPosition["-16,54"] = true;
        occupiedPosition["-16,55"] = true;
        occupiedPosition["-16,56"] = true;
        occupiedPosition["-16,57"] = true;
        occupiedPosition["-16,58"] = true;
        occupiedPosition["-16,59"] = true;
        occupiedPosition["-16,60"] = true;
        occupiedPosition["-16,63"] = true;
        occupiedPosition["-16,64"] = true;
        occupiedPosition["-15,-56"] = true;
        occupiedPosition["-15,-55"] = true;
        occupiedPosition["-15,-54"] = true;
        occupiedPosition["-15,-53"] = true;
        occupiedPosition["-15,-52"] = true;
        occupiedPosition["-15,-51"] = true;
        occupiedPosition["-15,-50"] = true;
        occupiedPosition["-15,-49"] = true;
        occupiedPosition["-15,-41"] = true;
        occupiedPosition["-15,-40"] = true;
        occupiedPosition["-15,-39"] = true;
        occupiedPosition["-15,-38"] = true;
        occupiedPosition["-15,-37"] = true;
        occupiedPosition["-15,-36"] = true;
        occupiedPosition["-15,-35"] = true;
        occupiedPosition["-15,-34"] = true;
        occupiedPosition["-15,-33"] = true;
        occupiedPosition["-15,-32"] = true;
        occupiedPosition["-15,-31"] = true;
        occupiedPosition["-15,-30"] = true;
        occupiedPosition["-15,-29"] = true;
        occupiedPosition["-15,-28"] = true;
        occupiedPosition["-15,-27"] = true;
        occupiedPosition["-15,-26"] = true;
        occupiedPosition["-15,-25"] = true;
        occupiedPosition["-15,-24"] = true;
        occupiedPosition["-15,-23"] = true;
        occupiedPosition["-15,-22"] = true;
        occupiedPosition["-15,-21"] = true;
        occupiedPosition["-15,-20"] = true;
        occupiedPosition["-15,-17"] = true;
        occupiedPosition["-15,-16"] = true;
        occupiedPosition["-15,-15"] = true;
        occupiedPosition["-15,-14"] = true;
        occupiedPosition["-15,-13"] = true;
        occupiedPosition["-15,-12"] = true;
        occupiedPosition["-15,-11"] = true;
        occupiedPosition["-15,-10"] = true;
        occupiedPosition["-15,-9"] = true;
        occupiedPosition["-15,-8"] = true;
        occupiedPosition["-15,-7"] = true;
        occupiedPosition["-15,-5"] = true;
        occupiedPosition["-15,-4"] = true;
        occupiedPosition["-15,-3"] = true;
        occupiedPosition["-15,-1"] = true;
        occupiedPosition["-15,0"] = true;
        occupiedPosition["-15,1"] = true;
        occupiedPosition["-15,9"] = true;
        occupiedPosition["-15,10"] = true;
        occupiedPosition["-15,11"] = true;
        occupiedPosition["-15,12"] = true;
        occupiedPosition["-15,13"] = true;
        occupiedPosition["-15,14"] = true;
        occupiedPosition["-15,15"] = true;
        occupiedPosition["-15,16"] = true;
        occupiedPosition["-15,17"] = true;
        occupiedPosition["-15,18"] = true;
        occupiedPosition["-15,19"] = true;
        occupiedPosition["-15,20"] = true;
        occupiedPosition["-15,21"] = true;
        occupiedPosition["-15,22"] = true;
        occupiedPosition["-15,23"] = true;
        occupiedPosition["-15,24"] = true;
        occupiedPosition["-15,25"] = true;
        occupiedPosition["-15,26"] = true;
        occupiedPosition["-15,27"] = true;
        occupiedPosition["-15,28"] = true;
        occupiedPosition["-15,29"] = true;
        occupiedPosition["-15,30"] = true;
        occupiedPosition["-15,31"] = true;
        occupiedPosition["-15,32"] = true;
        occupiedPosition["-15,33"] = true;
        occupiedPosition["-15,34"] = true;
        occupiedPosition["-15,35"] = true;
        occupiedPosition["-15,36"] = true;
        occupiedPosition["-15,37"] = true;
        occupiedPosition["-15,38"] = true;
        occupiedPosition["-15,39"] = true;
        occupiedPosition["-15,43"] = true;
        occupiedPosition["-15,44"] = true;
        occupiedPosition["-15,45"] = true;
        occupiedPosition["-15,46"] = true;
        occupiedPosition["-15,47"] = true;
        occupiedPosition["-15,48"] = true;
        occupiedPosition["-15,49"] = true;
        occupiedPosition["-15,50"] = true;
        occupiedPosition["-15,51"] = true;
        occupiedPosition["-15,52"] = true;
        occupiedPosition["-15,53"] = true;
        occupiedPosition["-15,54"] = true;
        occupiedPosition["-15,55"] = true;
        occupiedPosition["-15,56"] = true;
        occupiedPosition["-15,57"] = true;
        occupiedPosition["-15,58"] = true;
        occupiedPosition["-15,59"] = true;
        occupiedPosition["-15,60"] = true;
        occupiedPosition["-15,64"] = true;
        occupiedPosition["-14,-56"] = true;
        occupiedPosition["-14,-55"] = true;
        occupiedPosition["-14,-54"] = true;
        occupiedPosition["-14,-53"] = true;
        occupiedPosition["-14,-50"] = true;
        occupiedPosition["-14,-49"] = true;
        occupiedPosition["-14,-41"] = true;
        occupiedPosition["-14,-40"] = true;
        occupiedPosition["-14,-39"] = true;
        occupiedPosition["-14,-38"] = true;
        occupiedPosition["-14,-37"] = true;
        occupiedPosition["-14,-36"] = true;
        occupiedPosition["-14,-35"] = true;
        occupiedPosition["-14,-33"] = true;
        occupiedPosition["-14,-32"] = true;
        occupiedPosition["-14,-31"] = true;
        occupiedPosition["-14,-30"] = true;
        occupiedPosition["-14,-29"] = true;
        occupiedPosition["-14,-28"] = true;
        occupiedPosition["-14,-27"] = true;
        occupiedPosition["-14,-26"] = true;
        occupiedPosition["-14,-25"] = true;
        occupiedPosition["-14,-24"] = true;
        occupiedPosition["-14,-23"] = true;
        occupiedPosition["-14,-22"] = true;
        occupiedPosition["-14,-21"] = true;
        occupiedPosition["-14,-20"] = true;
        occupiedPosition["-14,-17"] = true;
        occupiedPosition["-14,-16"] = true;
        occupiedPosition["-14,-15"] = true;
        occupiedPosition["-14,-14"] = true;
        occupiedPosition["-14,-13"] = true;
        occupiedPosition["-14,-12"] = true;
        occupiedPosition["-14,-11"] = true;
        occupiedPosition["-14,-10"] = true;
        occupiedPosition["-14,-9"] = true;
        occupiedPosition["-14,-8"] = true;
        occupiedPosition["-14,-7"] = true;
        occupiedPosition["-14,-6"] = true;
        occupiedPosition["-14,-5"] = true;
        occupiedPosition["-14,-4"] = true;
        occupiedPosition["-14,-1"] = true;
        occupiedPosition["-14,0"] = true;
        occupiedPosition["-14,1"] = true;
        occupiedPosition["-14,4"] = true;
        occupiedPosition["-14,9"] = true;
        occupiedPosition["-14,10"] = true;
        occupiedPosition["-14,11"] = true;
        occupiedPosition["-14,12"] = true;
        occupiedPosition["-14,13"] = true;
        occupiedPosition["-14,14"] = true;
        occupiedPosition["-14,15"] = true;
        occupiedPosition["-14,16"] = true;
        occupiedPosition["-14,17"] = true;
        occupiedPosition["-14,18"] = true;
        occupiedPosition["-14,19"] = true;
        occupiedPosition["-14,20"] = true;
        occupiedPosition["-14,21"] = true;
        occupiedPosition["-14,22"] = true;
        occupiedPosition["-14,23"] = true;
        occupiedPosition["-14,24"] = true;
        occupiedPosition["-14,25"] = true;
        occupiedPosition["-14,26"] = true;
        occupiedPosition["-14,27"] = true;
        occupiedPosition["-14,28"] = true;
        occupiedPosition["-14,29"] = true;
        occupiedPosition["-14,30"] = true;
        occupiedPosition["-14,31"] = true;
        occupiedPosition["-14,32"] = true;
        occupiedPosition["-14,33"] = true;
        occupiedPosition["-14,34"] = true;
        occupiedPosition["-14,36"] = true;
        occupiedPosition["-14,37"] = true;
        occupiedPosition["-14,38"] = true;
        occupiedPosition["-14,39"] = true;
        occupiedPosition["-14,43"] = true;
        occupiedPosition["-14,44"] = true;
        occupiedPosition["-14,47"] = true;
        occupiedPosition["-14,48"] = true;
        occupiedPosition["-14,49"] = true;
        occupiedPosition["-14,50"] = true;
        occupiedPosition["-14,53"] = true;
        occupiedPosition["-14,54"] = true;
        occupiedPosition["-14,55"] = true;
        occupiedPosition["-14,56"] = true;
        occupiedPosition["-14,59"] = true;
        occupiedPosition["-14,60"] = true;
        occupiedPosition["-14,63"] = true;
        occupiedPosition["-14,64"] = true;
        occupiedPosition["-13,-56"] = true;
        occupiedPosition["-13,-55"] = true;
        occupiedPosition["-13,-54"] = true;
        occupiedPosition["-13,-53"] = true;
        occupiedPosition["-13,-50"] = true;
        occupiedPosition["-13,-49"] = true;
        occupiedPosition["-13,-41"] = true;
        occupiedPosition["-13,-40"] = true;
        occupiedPosition["-13,-39"] = true;
        occupiedPosition["-13,-38"] = true;
        occupiedPosition["-13,-37"] = true;
        occupiedPosition["-13,-36"] = true;
        occupiedPosition["-13,-35"] = true;
        occupiedPosition["-13,-33"] = true;
        occupiedPosition["-13,-32"] = true;
        occupiedPosition["-13,-21"] = true;
        occupiedPosition["-13,-20"] = true;
        occupiedPosition["-13,-19"] = true;
        occupiedPosition["-13,-18"] = true;
        occupiedPosition["-13,-17"] = true;
        occupiedPosition["-13,-16"] = true;
        occupiedPosition["-13,-6"] = true;
        occupiedPosition["-13,-5"] = true;
        occupiedPosition["-13,-4"] = true;
        occupiedPosition["-13,-1"] = true;
        occupiedPosition["-13,0"] = true;
        occupiedPosition["-13,1"] = true;
        occupiedPosition["-13,4"] = true;
        occupiedPosition["-13,19"] = true;
        occupiedPosition["-13,20"] = true;
        occupiedPosition["-13,23"] = true;
        occupiedPosition["-13,24"] = true;
        occupiedPosition["-13,43"] = true;
        occupiedPosition["-13,44"] = true;
        occupiedPosition["-13,47"] = true;
        occupiedPosition["-13,48"] = true;
        occupiedPosition["-13,49"] = true;
        occupiedPosition["-13,50"] = true;
        occupiedPosition["-13,53"] = true;
        occupiedPosition["-13,54"] = true;
        occupiedPosition["-13,55"] = true;
        occupiedPosition["-13,56"] = true;
        occupiedPosition["-13,59"] = true;
        occupiedPosition["-13,60"] = true;
        occupiedPosition["-13,63"] = true;
        occupiedPosition["-13,64"] = true;
        occupiedPosition["-12,-56"] = true;
        occupiedPosition["-12,-55"] = true;
        occupiedPosition["-12,-54"] = true;
        occupiedPosition["-12,-53"] = true;
        occupiedPosition["-12,-52"] = true;
        occupiedPosition["-12,-51"] = true;
        occupiedPosition["-12,-50"] = true;
        occupiedPosition["-12,-49"] = true;
        occupiedPosition["-12,-41"] = true;
        occupiedPosition["-12,-40"] = true;
        occupiedPosition["-12,-39"] = true;
        occupiedPosition["-12,-36"] = true;
        occupiedPosition["-12,-35"] = true;
        occupiedPosition["-12,-33"] = true;
        occupiedPosition["-12,-32"] = true;
        occupiedPosition["-12,-21"] = true;
        occupiedPosition["-12,-20"] = true;
        occupiedPosition["-12,-19"] = true;
        occupiedPosition["-12,-18"] = true;
        occupiedPosition["-12,-17"] = true;
        occupiedPosition["-12,-16"] = true;
        occupiedPosition["-12,-5"] = true;
        occupiedPosition["-12,-4"] = true;
        occupiedPosition["-12,-1"] = true;
        occupiedPosition["-12,0"] = true;
        occupiedPosition["-12,1"] = true;
        occupiedPosition["-12,4"] = true;
        occupiedPosition["-12,19"] = true;
        occupiedPosition["-12,20"] = true;
        occupiedPosition["-12,21"] = true;
        occupiedPosition["-12,22"] = true;
        occupiedPosition["-12,23"] = true;
        occupiedPosition["-12,24"] = true;
        occupiedPosition["-12,43"] = true;
        occupiedPosition["-12,44"] = true;
        occupiedPosition["-12,45"] = true;
        occupiedPosition["-12,46"] = true;
        occupiedPosition["-12,47"] = true;
        occupiedPosition["-12,48"] = true;
        occupiedPosition["-12,49"] = true;
        occupiedPosition["-12,50"] = true;
        occupiedPosition["-12,51"] = true;
        occupiedPosition["-12,52"] = true;
        occupiedPosition["-12,53"] = true;
        occupiedPosition["-12,54"] = true;
        occupiedPosition["-12,55"] = true;
        occupiedPosition["-12,56"] = true;
        occupiedPosition["-12,57"] = true;
        occupiedPosition["-12,58"] = true;
        occupiedPosition["-12,59"] = true;
        occupiedPosition["-12,60"] = true;
        occupiedPosition["-12,63"] = true;
        occupiedPosition["-12,64"] = true;
        occupiedPosition["-11,-56"] = true;
        occupiedPosition["-11,-55"] = true;
        occupiedPosition["-11,-53"] = true;
        occupiedPosition["-11,-52"] = true;
        occupiedPosition["-11,-51"] = true;
        occupiedPosition["-11,-50"] = true;
        occupiedPosition["-11,-49"] = true;
        occupiedPosition["-11,-41"] = true;
        occupiedPosition["-11,-40"] = true;
        occupiedPosition["-11,-39"] = true;
        occupiedPosition["-11,-36"] = true;
        occupiedPosition["-11,-35"] = true;
        occupiedPosition["-11,-33"] = true;
        occupiedPosition["-11,-32"] = true;
        occupiedPosition["-11,-21"] = true;
        occupiedPosition["-11,-20"] = true;
        occupiedPosition["-11,-19"] = true;
        occupiedPosition["-11,-18"] = true;
        occupiedPosition["-11,-17"] = true;
        occupiedPosition["-11,-16"] = true;
        occupiedPosition["-11,-5"] = true;
        occupiedPosition["-11,-4"] = true;
        occupiedPosition["-11,-1"] = true;
        occupiedPosition["-11,0"] = true;
        occupiedPosition["-11,1"] = true;
        occupiedPosition["-11,19"] = true;
        occupiedPosition["-11,20"] = true;
        occupiedPosition["-11,21"] = true;
        occupiedPosition["-11,22"] = true;
        occupiedPosition["-11,23"] = true;
        occupiedPosition["-11,24"] = true;
        occupiedPosition["-11,43"] = true;
        occupiedPosition["-11,44"] = true;
        occupiedPosition["-11,45"] = true;
        occupiedPosition["-11,46"] = true;
        occupiedPosition["-11,47"] = true;
        occupiedPosition["-11,49"] = true;
        occupiedPosition["-11,50"] = true;
        occupiedPosition["-11,51"] = true;
        occupiedPosition["-11,52"] = true;
        occupiedPosition["-11,53"] = true;
        occupiedPosition["-11,55"] = true;
        occupiedPosition["-11,56"] = true;
        occupiedPosition["-11,57"] = true;
        occupiedPosition["-11,58"] = true;
        occupiedPosition["-11,59"] = true;
        occupiedPosition["-11,60"] = true;
        occupiedPosition["-11,63"] = true;
        occupiedPosition["-11,64"] = true;
        occupiedPosition["-10,-56"] = true;
        occupiedPosition["-10,-55"] = true;
        occupiedPosition["-10,-54"] = true;
        occupiedPosition["-10,-53"] = true;
        occupiedPosition["-10,-52"] = true;
        occupiedPosition["-10,-51"] = true;
        occupiedPosition["-10,-50"] = true;
        occupiedPosition["-10,-49"] = true;
        occupiedPosition["-10,-41"] = true;
        occupiedPosition["-10,-40"] = true;
        occupiedPosition["-10,-39"] = true;
        occupiedPosition["-10,-38"] = true;
        occupiedPosition["-10,-37"] = true;
        occupiedPosition["-10,-36"] = true;
        occupiedPosition["-10,-35"] = true;
        occupiedPosition["-10,-33"] = true;
        occupiedPosition["-10,-32"] = true;
        occupiedPosition["-10,-21"] = true;
        occupiedPosition["-10,-20"] = true;
        occupiedPosition["-10,-17"] = true;
        occupiedPosition["-10,-16"] = true;
        occupiedPosition["-10,-5"] = true;
        occupiedPosition["-10,-4"] = true;
        occupiedPosition["-10,-1"] = true;
        occupiedPosition["-10,0"] = true;
        occupiedPosition["-10,1"] = true;
        occupiedPosition["-10,26"] = true;
        occupiedPosition["-10,27"] = true;
        occupiedPosition["-10,64"] = true;
        occupiedPosition["-9,-56"] = true;
        occupiedPosition["-9,-55"] = true;
        occupiedPosition["-9,-54"] = true;
        occupiedPosition["-9,-53"] = true;
        occupiedPosition["-9,-52"] = true;
        occupiedPosition["-9,-51"] = true;
        occupiedPosition["-9,-50"] = true;
        occupiedPosition["-9,-49"] = true;
        occupiedPosition["-9,-41"] = true;
        occupiedPosition["-9,-40"] = true;
        occupiedPosition["-9,-39"] = true;
        occupiedPosition["-9,-38"] = true;
        occupiedPosition["-9,-37"] = true;
        occupiedPosition["-9,-36"] = true;
        occupiedPosition["-9,-35"] = true;
        occupiedPosition["-9,-33"] = true;
        occupiedPosition["-9,-32"] = true;
        occupiedPosition["-9,-21"] = true;
        occupiedPosition["-9,-20"] = true;
        occupiedPosition["-9,-17"] = true;
        occupiedPosition["-9,-16"] = true;
        occupiedPosition["-9,-5"] = true;
        occupiedPosition["-9,-4"] = true;
        occupiedPosition["-9,-1"] = true;
        occupiedPosition["-9,0"] = true;
        occupiedPosition["-9,1"] = true;
        occupiedPosition["-9,25"] = true;
        occupiedPosition["-9,26"] = true;
        occupiedPosition["-9,27"] = true;
        occupiedPosition["-9,28"] = true;
        occupiedPosition["-9,64"] = true;
        occupiedPosition["-8,-56"] = true;
        occupiedPosition["-8,-55"] = true;
        occupiedPosition["-8,-54"] = true;
        occupiedPosition["-8,-53"] = true;
        occupiedPosition["-8,-50"] = true;
        occupiedPosition["-8,-49"] = true;
        occupiedPosition["-8,-40"] = true;
        occupiedPosition["-8,-33"] = true;
        occupiedPosition["-8,-32"] = true;
        occupiedPosition["-8,-31"] = true;
        occupiedPosition["-8,-30"] = true;
        occupiedPosition["-8,-29"] = true;
        occupiedPosition["-8,-28"] = true;
        occupiedPosition["-8,-27"] = true;
        occupiedPosition["-8,-26"] = true;
        occupiedPosition["-8,-25"] = true;
        occupiedPosition["-8,-24"] = true;
        occupiedPosition["-8,-23"] = true;
        occupiedPosition["-8,-22"] = true;
        occupiedPosition["-8,-21"] = true;
        occupiedPosition["-8,-20"] = true;
        occupiedPosition["-8,-17"] = true;
        occupiedPosition["-8,-16"] = true;
        occupiedPosition["-8,-15"] = true;
        occupiedPosition["-8,-14"] = true;
        occupiedPosition["-8,-13"] = true;
        occupiedPosition["-8,-12"] = true;
        occupiedPosition["-8,-11"] = true;
        occupiedPosition["-8,-10"] = true;
        occupiedPosition["-8,-9"] = true;
        occupiedPosition["-8,-8"] = true;
        occupiedPosition["-8,-7"] = true;
        occupiedPosition["-8,-6"] = true;
        occupiedPosition["-8,-5"] = true;
        occupiedPosition["-8,-4"] = true;
        occupiedPosition["-8,-1"] = true;
        occupiedPosition["-8,0"] = true;
        occupiedPosition["-8,1"] = true;
        occupiedPosition["-8,12"] = true;
        occupiedPosition["-8,13"] = true;
        occupiedPosition["-8,14"] = true;
        occupiedPosition["-8,15"] = true;
        occupiedPosition["-8,16"] = true;
        occupiedPosition["-8,17"] = true;
        occupiedPosition["-8,25"] = true;
        occupiedPosition["-8,26"] = true;
        occupiedPosition["-8,27"] = true;
        occupiedPosition["-8,28"] = true;
        occupiedPosition["-8,63"] = true;
        occupiedPosition["-8,64"] = true;
        occupiedPosition["-7,-56"] = true;
        occupiedPosition["-7,-55"] = true;
        occupiedPosition["-7,-54"] = true;
        occupiedPosition["-7,-53"] = true;
        occupiedPosition["-7,-50"] = true;
        occupiedPosition["-7,-49"] = true;
        occupiedPosition["-7,-33"] = true;
        occupiedPosition["-7,-32"] = true;
        occupiedPosition["-7,-31"] = true;
        occupiedPosition["-7,-30"] = true;
        occupiedPosition["-7,-29"] = true;
        occupiedPosition["-7,-28"] = true;
        occupiedPosition["-7,-27"] = true;
        occupiedPosition["-7,-26"] = true;
        occupiedPosition["-7,-25"] = true;
        occupiedPosition["-7,-24"] = true;
        occupiedPosition["-7,-23"] = true;
        occupiedPosition["-7,-22"] = true;
        occupiedPosition["-7,-21"] = true;
        occupiedPosition["-7,-20"] = true;
        occupiedPosition["-7,-17"] = true;
        occupiedPosition["-7,-16"] = true;
        occupiedPosition["-7,-15"] = true;
        occupiedPosition["-7,-14"] = true;
        occupiedPosition["-7,-13"] = true;
        occupiedPosition["-7,-12"] = true;
        occupiedPosition["-7,-11"] = true;
        occupiedPosition["-7,-10"] = true;
        occupiedPosition["-7,-9"] = true;
        occupiedPosition["-7,-8"] = true;
        occupiedPosition["-7,-7"] = true;
        occupiedPosition["-7,-6"] = true;
        occupiedPosition["-7,-5"] = true;
        occupiedPosition["-7,-4"] = true;
        occupiedPosition["-7,-1"] = true;
        occupiedPosition["-7,0"] = true;
        occupiedPosition["-7,1"] = true;
        occupiedPosition["-7,12"] = true;
        occupiedPosition["-7,13"] = true;
        occupiedPosition["-7,14"] = true;
        occupiedPosition["-7,15"] = true;
        occupiedPosition["-7,16"] = true;
        occupiedPosition["-7,17"] = true;
        occupiedPosition["-7,18"] = true;
        occupiedPosition["-7,26"] = true;
        occupiedPosition["-7,27"] = true;
        occupiedPosition["-7,43"] = true;
        occupiedPosition["-7,44"] = true;
        occupiedPosition["-7,45"] = true;
        occupiedPosition["-7,46"] = true;
        occupiedPosition["-7,47"] = true;
        occupiedPosition["-7,48"] = true;
        occupiedPosition["-7,49"] = true;
        occupiedPosition["-7,50"] = true;
        occupiedPosition["-7,51"] = true;
        occupiedPosition["-7,52"] = true;
        occupiedPosition["-7,53"] = true;
        occupiedPosition["-7,54"] = true;
        occupiedPosition["-7,57"] = true;
        occupiedPosition["-7,58"] = true;
        occupiedPosition["-7,59"] = true;
        occupiedPosition["-7,60"] = true;
        occupiedPosition["-7,61"] = true;
        occupiedPosition["-7,62"] = true;
        occupiedPosition["-7,64"] = true;
        occupiedPosition["-6,-56"] = true;
        occupiedPosition["-6,-55"] = true;
        occupiedPosition["-6,-54"] = true;
        occupiedPosition["-6,-53"] = true;
        occupiedPosition["-6,-52"] = true;
        occupiedPosition["-6,-51"] = true;
        occupiedPosition["-6,-50"] = true;
        occupiedPosition["-6,-49"] = true;
        occupiedPosition["-6,-32"] = true;
        occupiedPosition["-6,-31"] = true;
        occupiedPosition["-6,-16"] = true;
        occupiedPosition["-6,-15"] = true;
        occupiedPosition["-6,-14"] = true;
        occupiedPosition["-6,-1"] = true;
        occupiedPosition["-6,0"] = true;
        occupiedPosition["-6,1"] = true;
        occupiedPosition["-6,12"] = true;
        occupiedPosition["-6,13"] = true;
        occupiedPosition["-6,14"] = true;
        occupiedPosition["-6,15"] = true;
        occupiedPosition["-6,16"] = true;
        occupiedPosition["-6,17"] = true;
        occupiedPosition["-6,18"] = true;
        occupiedPosition["-6,30"] = true;
        occupiedPosition["-6,31"] = true;
        occupiedPosition["-6,43"] = true;
        occupiedPosition["-6,44"] = true;
        occupiedPosition["-6,45"] = true;
        occupiedPosition["-6,46"] = true;
        occupiedPosition["-6,47"] = true;
        occupiedPosition["-6,48"] = true;
        occupiedPosition["-6,49"] = true;
        occupiedPosition["-6,50"] = true;
        occupiedPosition["-6,51"] = true;
        occupiedPosition["-6,52"] = true;
        occupiedPosition["-6,53"] = true;
        occupiedPosition["-6,54"] = true;
        occupiedPosition["-6,55"] = true;
        occupiedPosition["-6,57"] = true;
        occupiedPosition["-6,58"] = true;
        occupiedPosition["-6,59"] = true;
        occupiedPosition["-6,60"] = true;
        occupiedPosition["-6,61"] = true;
        occupiedPosition["-6,62"] = true;
        occupiedPosition["-6,64"] = true;
        occupiedPosition["-5,-56"] = true;
        occupiedPosition["-5,-55"] = true;
        occupiedPosition["-5,-54"] = true;
        occupiedPosition["-5,-53"] = true;
        occupiedPosition["-5,-52"] = true;
        occupiedPosition["-5,-51"] = true;
        occupiedPosition["-5,-50"] = true;
        occupiedPosition["-5,-49"] = true;
        occupiedPosition["-5,-33"] = true;
        occupiedPosition["-5,-32"] = true;
        occupiedPosition["-5,-31"] = true;
        occupiedPosition["-5,-30"] = true;
        occupiedPosition["-5,-16"] = true;
        occupiedPosition["-5,-15"] = true;
        occupiedPosition["-5,-14"] = true;
        occupiedPosition["-5,-1"] = true;
        occupiedPosition["-5,0"] = true;
        occupiedPosition["-5,1"] = true;
        occupiedPosition["-5,2"] = true;
        occupiedPosition["-5,3"] = true;
        occupiedPosition["-5,4"] = true;
        occupiedPosition["-5,12"] = true;
        occupiedPosition["-5,13"] = true;
        occupiedPosition["-5,14"] = true;
        occupiedPosition["-5,15"] = true;
        occupiedPosition["-5,16"] = true;
        occupiedPosition["-5,17"] = true;
        occupiedPosition["-5,18"] = true;
        occupiedPosition["-5,29"] = true;
        occupiedPosition["-5,30"] = true;
        occupiedPosition["-5,31"] = true;
        occupiedPosition["-5,32"] = true;
        occupiedPosition["-5,43"] = true;
        occupiedPosition["-5,44"] = true;
        occupiedPosition["-5,47"] = true;
        occupiedPosition["-5,48"] = true;
        occupiedPosition["-5,49"] = true;
        occupiedPosition["-5,50"] = true;
        occupiedPosition["-5,54"] = true;
        occupiedPosition["-5,55"] = true;
        occupiedPosition["-5,57"] = true;
        occupiedPosition["-5,58"] = true;
        occupiedPosition["-5,61"] = true;
        occupiedPosition["-5,62"] = true;
        occupiedPosition["-5,63"] = true;
        occupiedPosition["-5,64"] = true;
        occupiedPosition["-4,-56"] = true;
        occupiedPosition["-4,-55"] = true;
        occupiedPosition["-4,-33"] = true;
        occupiedPosition["-4,-32"] = true;
        occupiedPosition["-4,-31"] = true;
        occupiedPosition["-4,-30"] = true;
        occupiedPosition["-4,-16"] = true;
        occupiedPosition["-4,-15"] = true;
        occupiedPosition["-4,-14"] = true;
        occupiedPosition["-4,-1"] = true;
        occupiedPosition["-4,0"] = true;
        occupiedPosition["-4,1"] = true;
        occupiedPosition["-4,2"] = true;
        occupiedPosition["-4,3"] = true;
        occupiedPosition["-4,4"] = true;
        occupiedPosition["-4,12"] = true;
        occupiedPosition["-4,13"] = true;
        occupiedPosition["-4,14"] = true;
        occupiedPosition["-4,15"] = true;
        occupiedPosition["-4,16"] = true;
        occupiedPosition["-4,17"] = true;
        occupiedPosition["-4,18"] = true;
        occupiedPosition["-4,29"] = true;
        occupiedPosition["-4,30"] = true;
        occupiedPosition["-4,31"] = true;
        occupiedPosition["-4,32"] = true;
        occupiedPosition["-4,43"] = true;
        occupiedPosition["-4,44"] = true;
        occupiedPosition["-4,45"] = true;
        occupiedPosition["-4,46"] = true;
        occupiedPosition["-4,47"] = true;
        occupiedPosition["-4,48"] = true;
        occupiedPosition["-4,49"] = true;
        occupiedPosition["-4,50"] = true;
        occupiedPosition["-4,51"] = true;
        occupiedPosition["-4,52"] = true;
        occupiedPosition["-4,53"] = true;
        occupiedPosition["-4,54"] = true;
        occupiedPosition["-4,55"] = true;
        occupiedPosition["-4,57"] = true;
        occupiedPosition["-4,58"] = true;
        occupiedPosition["-4,61"] = true;
        occupiedPosition["-4,62"] = true;
        occupiedPosition["-4,64"] = true;
        occupiedPosition["-3,-56"] = true;
        occupiedPosition["-3,-55"] = true;
        occupiedPosition["-3,-32"] = true;
        occupiedPosition["-3,-31"] = true;
        occupiedPosition["-3,-1"] = true;
        occupiedPosition["-3,0"] = true;
        occupiedPosition["-3,1"] = true;
        occupiedPosition["-3,2"] = true;
        occupiedPosition["-3,3"] = true;
        occupiedPosition["-3,4"] = true;
        occupiedPosition["-2,-56"] = true;
        occupiedPosition["-2,-55"] = true;
        occupiedPosition["-2,-54"] = true;
        occupiedPosition["-2,-53"] = true;
        occupiedPosition["-2,-52"] = true;
        occupiedPosition["-2,-51"] = true;
        occupiedPosition["-2,-49"] = true;
        occupiedPosition["-2,-46"] = true;
        occupiedPosition["-2,-44"] = true;
        occupiedPosition["-2,-43"] = true;
        occupiedPosition["-2,-41"] = true;
        occupiedPosition["-2,-38"] = true;
        occupiedPosition["-2,-36"] = true;
        occupiedPosition["-2,-35"] = true;
        occupiedPosition["-2,-33"] = true;
        occupiedPosition["-2,-25"] = true;
        occupiedPosition["-2,-23"] = true;
        occupiedPosition["-2,-22"] = true;
        occupiedPosition["-2,-20"] = true;
        occupiedPosition["-2,-18"] = true;
        occupiedPosition["-2,-17"] = true;
        occupiedPosition["-2,-15"] = true;
        occupiedPosition["-2,-13"] = true;
        occupiedPosition["-2,-12"] = true;
        occupiedPosition["-2,-9"] = true;
        occupiedPosition["-2,-8"] = true;
        occupiedPosition["-2,-6"] = true;
        occupiedPosition["-2,-4"] = true;
        occupiedPosition["-2,-3"] = true;
        occupiedPosition["-2,-1"] = true;
        occupiedPosition["-2,0"] = true;
        occupiedPosition["-2,1"] = true;
        occupiedPosition["-2,3"] = true;
        occupiedPosition["-1,-56"] = true;
        occupiedPosition["-1,-55"] = true;
        occupiedPosition["-1,-54"] = true;
        occupiedPosition["-1,-53"] = true;
        occupiedPosition["-1,-52"] = true;
        occupiedPosition["-1,-51"] = true;
        occupiedPosition["-1,-50"] = true;
        occupiedPosition["-1,-49"] = true;
        occupiedPosition["-1,-48"] = true;
        occupiedPosition["-1,-47"] = true;
        occupiedPosition["-1,-46"] = true;
        occupiedPosition["-1,-45"] = true;
        occupiedPosition["-1,-44"] = true;
        occupiedPosition["-1,-43"] = true;
        occupiedPosition["-1,-42"] = true;
        occupiedPosition["-1,-41"] = true;
        occupiedPosition["-1,-40"] = true;
        occupiedPosition["-1,-39"] = true;
        occupiedPosition["-1,-38"] = true;
        occupiedPosition["-1,-37"] = true;
        occupiedPosition["-1,-36"] = true;
        occupiedPosition["-1,-35"] = true;
        occupiedPosition["-1,-34"] = true;
        occupiedPosition["-1,-33"] = true;
        occupiedPosition["-1,-32"] = true;
        occupiedPosition["-1,-31"] = true;
        occupiedPosition["-1,-30"] = true;
        occupiedPosition["-1,-29"] = true;
        occupiedPosition["-1,-28"] = true;
        occupiedPosition["-1,-27"] = true;
        occupiedPosition["-1,-26"] = true;
        occupiedPosition["-1,-25"] = true;
        occupiedPosition["-1,-24"] = true;
        occupiedPosition["-1,-23"] = true;
        occupiedPosition["-1,-22"] = true;
        occupiedPosition["-1,-21"] = true;
        occupiedPosition["-1,-20"] = true;
        occupiedPosition["-1,-19"] = true;
        occupiedPosition["-1,-18"] = true;
        occupiedPosition["-1,-17"] = true;
        occupiedPosition["-1,-16"] = true;
        occupiedPosition["-1,-15"] = true;
        occupiedPosition["-1,-14"] = true;
        occupiedPosition["-1,-13"] = true;
        occupiedPosition["-1,-12"] = true;
        occupiedPosition["-1,-11"] = true;
        occupiedPosition["-1,-10"] = true;
        occupiedPosition["-1,-9"] = true;
        occupiedPosition["-1,-8"] = true;
        occupiedPosition["-1,-7"] = true;
        occupiedPosition["-1,-6"] = true;
        occupiedPosition["-1,-5"] = true;
        occupiedPosition["-1,-4"] = true;
        occupiedPosition["-1,-3"] = true;
        occupiedPosition["-1,-2"] = true;
        occupiedPosition["-1,-1"] = true;
        occupiedPosition["-1,0"] = true;
        occupiedPosition["-1,1"] = true;
        occupiedPosition["-1,64"] = true;
        occupiedPosition["0,-56"] = true;
        occupiedPosition["0,-55"] = true;
        occupiedPosition["0,-54"] = true;
        occupiedPosition["0,-53"] = true;
        occupiedPosition["0,-52"] = true;
        occupiedPosition["0,-51"] = true;
        occupiedPosition["0,-50"] = true;
        occupiedPosition["0,-49"] = true;
        occupiedPosition["0,-48"] = true;
        occupiedPosition["0,-47"] = true;
        occupiedPosition["0,-46"] = true;
        occupiedPosition["0,-45"] = true;
        occupiedPosition["0,-44"] = true;
        occupiedPosition["0,-43"] = true;
        occupiedPosition["0,-42"] = true;
        occupiedPosition["0,-41"] = true;
        occupiedPosition["0,-40"] = true;
        occupiedPosition["0,-39"] = true;
        occupiedPosition["0,-38"] = true;
        occupiedPosition["0,-37"] = true;
        occupiedPosition["0,-36"] = true;
        occupiedPosition["0,-35"] = true;
        occupiedPosition["0,-34"] = true;
        occupiedPosition["0,-33"] = true;
        occupiedPosition["0,-32"] = true;
        occupiedPosition["0,-31"] = true;
        occupiedPosition["0,-30"] = true;
        occupiedPosition["0,-29"] = true;
        occupiedPosition["0,-28"] = true;
        occupiedPosition["0,-27"] = true;
        occupiedPosition["0,-26"] = true;
        occupiedPosition["0,-25"] = true;
        occupiedPosition["0,-24"] = true;
        occupiedPosition["0,-23"] = true;
        occupiedPosition["0,-22"] = true;
        occupiedPosition["0,-21"] = true;
        occupiedPosition["0,-20"] = true;
        occupiedPosition["0,-19"] = true;
        occupiedPosition["0,-18"] = true;
        occupiedPosition["0,-17"] = true;
        occupiedPosition["0,-16"] = true;
        occupiedPosition["0,-15"] = true;
        occupiedPosition["0,-14"] = true;
        occupiedPosition["0,-13"] = true;
        occupiedPosition["0,-12"] = true;
        occupiedPosition["0,-11"] = true;
        occupiedPosition["0,-10"] = true;
        occupiedPosition["0,-9"] = true;
        occupiedPosition["0,-8"] = true;
        occupiedPosition["0,-7"] = true;
        occupiedPosition["0,-6"] = true;
        occupiedPosition["0,-5"] = true;
        occupiedPosition["0,-4"] = true;
        occupiedPosition["0,-3"] = true;
        occupiedPosition["0,-2"] = true;
        occupiedPosition["0,-1"] = true;
        occupiedPosition["0,0"] = true;
        occupiedPosition["0,1"] = true;
        occupiedPosition["1,-56"] = true;
        occupiedPosition["1,-55"] = true;
        occupiedPosition["1,-54"] = true;
        occupiedPosition["1,-53"] = true;
        occupiedPosition["1,-52"] = true;
        occupiedPosition["1,-51"] = true;
        occupiedPosition["1,-50"] = true;
        occupiedPosition["1,-49"] = true;
        occupiedPosition["1,-48"] = true;
        occupiedPosition["1,-47"] = true;
        occupiedPosition["1,-46"] = true;
        occupiedPosition["1,-45"] = true;
        occupiedPosition["1,-44"] = true;
        occupiedPosition["1,-43"] = true;
        occupiedPosition["1,-42"] = true;
        occupiedPosition["1,-41"] = true;
        occupiedPosition["1,-40"] = true;
        occupiedPosition["1,-39"] = true;
        occupiedPosition["1,-38"] = true;
        occupiedPosition["1,-37"] = true;
        occupiedPosition["1,-36"] = true;
        occupiedPosition["1,-35"] = true;
        occupiedPosition["1,-34"] = true;
        occupiedPosition["1,-33"] = true;
        occupiedPosition["1,-32"] = true;
        occupiedPosition["1,-31"] = true;
        occupiedPosition["1,-30"] = true;
        occupiedPosition["1,-29"] = true;
        occupiedPosition["1,-28"] = true;
        occupiedPosition["1,-27"] = true;
        occupiedPosition["1,-26"] = true;
        occupiedPosition["1,-25"] = true;
        occupiedPosition["1,-24"] = true;
        occupiedPosition["1,-23"] = true;
        occupiedPosition["1,-22"] = true;
        occupiedPosition["1,-21"] = true;
        occupiedPosition["1,-20"] = true;
        occupiedPosition["1,-19"] = true;
        occupiedPosition["1,-18"] = true;
        occupiedPosition["1,-17"] = true;
        occupiedPosition["1,-16"] = true;
        occupiedPosition["1,-15"] = true;
        occupiedPosition["1,-14"] = true;
        occupiedPosition["1,-13"] = true;
        occupiedPosition["1,-12"] = true;
        occupiedPosition["1,-11"] = true;
        occupiedPosition["1,-10"] = true;
        occupiedPosition["1,-9"] = true;
        occupiedPosition["1,-8"] = true;
        occupiedPosition["1,-7"] = true;
        occupiedPosition["1,-6"] = true;
        occupiedPosition["1,-5"] = true;
        occupiedPosition["1,-4"] = true;
        occupiedPosition["1,-3"] = true;
        occupiedPosition["1,-2"] = true;
        occupiedPosition["1,-1"] = true;
        occupiedPosition["1,0"] = true;
        occupiedPosition["1,1"] = true;
        occupiedPosition["1,2"] = true;
        occupiedPosition["2,-56"] = true;
        occupiedPosition["2,-54"] = true;
        occupiedPosition["2,-53"] = true;
        occupiedPosition["2,-51"] = true;
        occupiedPosition["2,-49"] = true;
        occupiedPosition["2,-48"] = true;
        occupiedPosition["2,-45"] = true;
        occupiedPosition["2,-44"] = true;
        occupiedPosition["2,-42"] = true;
        occupiedPosition["2,-40"] = true;
        occupiedPosition["2,-39"] = true;
        occupiedPosition["2,-37"] = true;
        occupiedPosition["2,-35"] = true;
        occupiedPosition["2,-34"] = true;
        occupiedPosition["2,-32"] = true;
        occupiedPosition["2,-24"] = true;
        occupiedPosition["2,-22"] = true;
        occupiedPosition["2,-21"] = true;
        occupiedPosition["2,-19"] = true;
        occupiedPosition["2,-16"] = true;
        occupiedPosition["2,-15"] = true;
        occupiedPosition["2,-14"] = true;
        occupiedPosition["2,-13"] = true;
        occupiedPosition["2,-11"] = true;
        occupiedPosition["2,-8"] = true;
        occupiedPosition["2,-6"] = true;
        occupiedPosition["2,-5"] = true;
        occupiedPosition["2,-4"] = true;
        occupiedPosition["2,-3"] = true;
        occupiedPosition["2,-2"] = true;
        occupiedPosition["2,-1"] = true;
        occupiedPosition["2,0"] = true;
        occupiedPosition["2,1"] = true;
        occupiedPosition["2,2"] = true;
        occupiedPosition["2,3"] = true;
        occupiedPosition["2,4"] = true;
        occupiedPosition["2,64"] = true;
        occupiedPosition["3,-56"] = true;
        occupiedPosition["3,-26"] = true;
        occupiedPosition["3,-25"] = true;
        occupiedPosition["3,-15"] = true;
        occupiedPosition["3,-14"] = true;
        occupiedPosition["3,-2"] = true;
        occupiedPosition["3,-1"] = true;
        occupiedPosition["3,0"] = true;
        occupiedPosition["3,1"] = true;
        occupiedPosition["3,3"] = true;
        occupiedPosition["3,4"] = true;
        occupiedPosition["4,-56"] = true;
        occupiedPosition["4,-43"] = true;
        occupiedPosition["4,-42"] = true;
        occupiedPosition["4,-41"] = true;
        occupiedPosition["4,-27"] = true;
        occupiedPosition["4,-26"] = true;
        occupiedPosition["4,-25"] = true;
        occupiedPosition["4,-24"] = true;
        occupiedPosition["4,-2"] = true;
        occupiedPosition["4,-1"] = true;
        occupiedPosition["4,0"] = true;
        occupiedPosition["4,1"] = true;
        occupiedPosition["4,2"] = true;
        occupiedPosition["4,3"] = true;
        occupiedPosition["4,4"] = true;
        occupiedPosition["4,7"] = true;
        occupiedPosition["4,8"] = true;
        occupiedPosition["4,10"] = true;
        occupiedPosition["4,11"] = true;
        occupiedPosition["4,12"] = true;
        occupiedPosition["4,13"] = true;
        occupiedPosition["4,14"] = true;
        occupiedPosition["4,15"] = true;
        occupiedPosition["4,16"] = true;
        occupiedPosition["4,17"] = true;
        occupiedPosition["4,18"] = true;
        occupiedPosition["4,19"] = true;
        occupiedPosition["4,20"] = true;
        occupiedPosition["4,21"] = true;
        occupiedPosition["4,22"] = true;
        occupiedPosition["4,33"] = true;
        occupiedPosition["4,34"] = true;
        occupiedPosition["4,35"] = true;
        occupiedPosition["4,36"] = true;
        occupiedPosition["4,47"] = true;
        occupiedPosition["4,48"] = true;
        occupiedPosition["4,49"] = true;
        occupiedPosition["4,50"] = true;
        occupiedPosition["4,51"] = true;
        occupiedPosition["4,52"] = true;
        occupiedPosition["4,53"] = true;
        occupiedPosition["5,-56"] = true;
        occupiedPosition["5,-43"] = true;
        occupiedPosition["5,-42"] = true;
        occupiedPosition["5,-41"] = true;
        occupiedPosition["5,-27"] = true;
        occupiedPosition["5,-26"] = true;
        occupiedPosition["5,-25"] = true;
        occupiedPosition["5,-24"] = true;
        occupiedPosition["5,-8"] = true;
        occupiedPosition["5,-7"] = true;
        occupiedPosition["5,-6"] = true;
        occupiedPosition["5,-5"] = true;
        occupiedPosition["5,-4"] = true;
        occupiedPosition["5,-3"] = true;
        occupiedPosition["5,-2"] = true;
        occupiedPosition["5,-1"] = true;
        occupiedPosition["5,0"] = true;
        occupiedPosition["5,1"] = true;
        occupiedPosition["5,2"] = true;
        occupiedPosition["5,3"] = true;
        occupiedPosition["5,4"] = true;
        occupiedPosition["5,7"] = true;
        occupiedPosition["5,8"] = true;
        occupiedPosition["5,10"] = true;
        occupiedPosition["5,11"] = true;
        occupiedPosition["5,15"] = true;
        occupiedPosition["5,16"] = true;
        occupiedPosition["5,17"] = true;
        occupiedPosition["5,18"] = true;
        occupiedPosition["5,21"] = true;
        occupiedPosition["5,22"] = true;
        occupiedPosition["5,33"] = true;
        occupiedPosition["5,34"] = true;
        occupiedPosition["5,35"] = true;
        occupiedPosition["5,36"] = true;
        occupiedPosition["5,47"] = true;
        occupiedPosition["5,48"] = true;
        occupiedPosition["5,49"] = true;
        occupiedPosition["5,50"] = true;
        occupiedPosition["5,51"] = true;
        occupiedPosition["5,52"] = true;
        occupiedPosition["5,53"] = true;
        occupiedPosition["5,64"] = true;
        occupiedPosition["6,-56"] = true;
        occupiedPosition["6,-43"] = true;
        occupiedPosition["6,-42"] = true;
        occupiedPosition["6,-41"] = true;
        occupiedPosition["6,-26"] = true;
        occupiedPosition["6,-25"] = true;
        occupiedPosition["6,-8"] = true;
        occupiedPosition["6,-7"] = true;
        occupiedPosition["6,-6"] = true;
        occupiedPosition["6,-5"] = true;
        occupiedPosition["6,-4"] = true;
        occupiedPosition["6,-3"] = true;
        occupiedPosition["6,-2"] = true;
        occupiedPosition["6,-1"] = true;
        occupiedPosition["6,0"] = true;
        occupiedPosition["6,1"] = true;
        occupiedPosition["6,2"] = true;
        occupiedPosition["6,3"] = true;
        occupiedPosition["6,4"] = true;
        occupiedPosition["6,5"] = true;
        occupiedPosition["6,6"] = true;
        occupiedPosition["6,7"] = true;
        occupiedPosition["6,8"] = true;
        occupiedPosition["6,10"] = true;
        occupiedPosition["6,11"] = true;
        occupiedPosition["6,12"] = true;
        occupiedPosition["6,13"] = true;
        occupiedPosition["6,14"] = true;
        occupiedPosition["6,15"] = true;
        occupiedPosition["6,16"] = true;
        occupiedPosition["6,17"] = true;
        occupiedPosition["6,18"] = true;
        occupiedPosition["6,19"] = true;
        occupiedPosition["6,20"] = true;
        occupiedPosition["6,21"] = true;
        occupiedPosition["6,22"] = true;
        occupiedPosition["6,34"] = true;
        occupiedPosition["6,35"] = true;
        occupiedPosition["6,47"] = true;
        occupiedPosition["6,48"] = true;
        occupiedPosition["6,49"] = true;
        occupiedPosition["6,50"] = true;
        occupiedPosition["6,51"] = true;
        occupiedPosition["6,52"] = true;
        occupiedPosition["6,53"] = true;
        occupiedPosition["7,-56"] = true;
        occupiedPosition["7,-53"] = true;
        occupiedPosition["7,-52"] = true;
        occupiedPosition["7,-51"] = true;
        occupiedPosition["7,-50"] = true;
        occupiedPosition["7,-49"] = true;
        occupiedPosition["7,-48"] = true;
        occupiedPosition["7,-47"] = true;
        occupiedPosition["7,-46"] = true;
        occupiedPosition["7,-45"] = true;
        occupiedPosition["7,-44"] = true;
        occupiedPosition["7,-43"] = true;
        occupiedPosition["7,-42"] = true;
        occupiedPosition["7,-41"] = true;
        occupiedPosition["7,-40"] = true;
        occupiedPosition["7,-37"] = true;
        occupiedPosition["7,-36"] = true;
        occupiedPosition["7,-35"] = true;
        occupiedPosition["7,-34"] = true;
        occupiedPosition["7,-33"] = true;
        occupiedPosition["7,-32"] = true;
        occupiedPosition["7,-31"] = true;
        occupiedPosition["7,-30"] = true;
        occupiedPosition["7,-29"] = true;
        occupiedPosition["7,-28"] = true;
        occupiedPosition["7,-27"] = true;
        occupiedPosition["7,-26"] = true;
        occupiedPosition["7,-25"] = true;
        occupiedPosition["7,-24"] = true;
        occupiedPosition["7,-8"] = true;
        occupiedPosition["7,-7"] = true;
        occupiedPosition["7,-4"] = true;
        occupiedPosition["7,-3"] = true;
        occupiedPosition["7,-2"] = true;
        occupiedPosition["7,-1"] = true;
        occupiedPosition["7,0"] = true;
        occupiedPosition["7,1"] = true;
        occupiedPosition["7,2"] = true;
        occupiedPosition["7,3"] = true;
        occupiedPosition["7,4"] = true;
        occupiedPosition["7,5"] = true;
        occupiedPosition["7,6"] = true;
        occupiedPosition["7,7"] = true;
        occupiedPosition["7,8"] = true;
        occupiedPosition["7,11"] = true;
        occupiedPosition["7,12"] = true;
        occupiedPosition["7,13"] = true;
        occupiedPosition["7,14"] = true;
        occupiedPosition["7,15"] = true;
        occupiedPosition["7,16"] = true;
        occupiedPosition["7,17"] = true;
        occupiedPosition["7,18"] = true;
        occupiedPosition["7,19"] = true;
        occupiedPosition["7,20"] = true;
        occupiedPosition["7,21"] = true;
        occupiedPosition["7,22"] = true;
        occupiedPosition["7,38"] = true;
        occupiedPosition["7,39"] = true;
        occupiedPosition["7,47"] = true;
        occupiedPosition["7,48"] = true;
        occupiedPosition["7,49"] = true;
        occupiedPosition["7,50"] = true;
        occupiedPosition["7,51"] = true;
        occupiedPosition["7,52"] = true;
        occupiedPosition["7,53"] = true;
        occupiedPosition["8,-56"] = true;
        occupiedPosition["8,-53"] = true;
        occupiedPosition["8,-52"] = true;
        occupiedPosition["8,-51"] = true;
        occupiedPosition["8,-50"] = true;
        occupiedPosition["8,-49"] = true;
        occupiedPosition["8,-48"] = true;
        occupiedPosition["8,-47"] = true;
        occupiedPosition["8,-46"] = true;
        occupiedPosition["8,-45"] = true;
        occupiedPosition["8,-44"] = true;
        occupiedPosition["8,-43"] = true;
        occupiedPosition["8,-42"] = true;
        occupiedPosition["8,-41"] = true;
        occupiedPosition["8,-40"] = true;
        occupiedPosition["8,-37"] = true;
        occupiedPosition["8,-36"] = true;
        occupiedPosition["8,-35"] = true;
        occupiedPosition["8,-34"] = true;
        occupiedPosition["8,-33"] = true;
        occupiedPosition["8,-32"] = true;
        occupiedPosition["8,-31"] = true;
        occupiedPosition["8,-30"] = true;
        occupiedPosition["8,-29"] = true;
        occupiedPosition["8,-28"] = true;
        occupiedPosition["8,-27"] = true;
        occupiedPosition["8,-26"] = true;
        occupiedPosition["8,-25"] = true;
        occupiedPosition["8,-24"] = true;
        occupiedPosition["8,-17"] = true;
        occupiedPosition["8,-8"] = true;
        occupiedPosition["8,-7"] = true;
        occupiedPosition["8,-4"] = true;
        occupiedPosition["8,-3"] = true;
        occupiedPosition["8,-2"] = true;
        occupiedPosition["8,-1"] = true;
        occupiedPosition["8,0"] = true;
        occupiedPosition["8,1"] = true;
        occupiedPosition["8,2"] = true;
        occupiedPosition["8,3"] = true;
        occupiedPosition["8,4"] = true;
        occupiedPosition["8,37"] = true;
        occupiedPosition["8,38"] = true;
        occupiedPosition["8,39"] = true;
        occupiedPosition["8,40"] = true;
        occupiedPosition["8,48"] = true;
        occupiedPosition["8,49"] = true;
        occupiedPosition["8,50"] = true;
        occupiedPosition["8,51"] = true;
        occupiedPosition["8,52"] = true;
        occupiedPosition["8,53"] = true;
        occupiedPosition["8,64"] = true;
        occupiedPosition["9,-56"] = true;
        occupiedPosition["9,-53"] = true;
        occupiedPosition["9,-52"] = true;
        occupiedPosition["9,-41"] = true;
        occupiedPosition["9,-40"] = true;
        occupiedPosition["9,-37"] = true;
        occupiedPosition["9,-36"] = true;
        occupiedPosition["9,-25"] = true;
        occupiedPosition["9,-24"] = true;
        occupiedPosition["9,-22"] = true;
        occupiedPosition["9,-21"] = true;
        occupiedPosition["9,-20"] = true;
        occupiedPosition["9,-19"] = true;
        occupiedPosition["9,-18"] = true;
        occupiedPosition["9,-17"] = true;
        occupiedPosition["9,-16"] = true;
        occupiedPosition["9,-8"] = true;
        occupiedPosition["9,-7"] = true;
        occupiedPosition["9,-6"] = true;
        occupiedPosition["9,-5"] = true;
        occupiedPosition["9,-4"] = true;
        occupiedPosition["9,-3"] = true;
        occupiedPosition["9,-2"] = true;
        occupiedPosition["9,-1"] = true;
        occupiedPosition["9,0"] = true;
        occupiedPosition["9,1"] = true;
        occupiedPosition["9,2"] = true;
        occupiedPosition["9,3"] = true;
        occupiedPosition["9,4"] = true;
        occupiedPosition["9,37"] = true;
        occupiedPosition["9,38"] = true;
        occupiedPosition["9,39"] = true;
        occupiedPosition["9,40"] = true;
        occupiedPosition["9,64"] = true;
        occupiedPosition["10,-56"] = true;
        occupiedPosition["10,-53"] = true;
        occupiedPosition["10,-52"] = true;
        occupiedPosition["10,-41"] = true;
        occupiedPosition["10,-40"] = true;
        occupiedPosition["10,-37"] = true;
        occupiedPosition["10,-36"] = true;
        occupiedPosition["10,-25"] = true;
        occupiedPosition["10,-24"] = true;
        occupiedPosition["10,-22"] = true;
        occupiedPosition["10,-21"] = true;
        occupiedPosition["10,-20"] = true;
        occupiedPosition["10,-19"] = true;
        occupiedPosition["10,-18"] = true;
        occupiedPosition["10,-17"] = true;
        occupiedPosition["10,-16"] = true;
        occupiedPosition["10,-8"] = true;
        occupiedPosition["10,-7"] = true;
        occupiedPosition["10,-6"] = true;
        occupiedPosition["10,-5"] = true;
        occupiedPosition["10,-4"] = true;
        occupiedPosition["10,-3"] = true;
        occupiedPosition["10,-2"] = true;
        occupiedPosition["10,-1"] = true;
        occupiedPosition["10,0"] = true;
        occupiedPosition["10,1"] = true;
        occupiedPosition["10,2"] = true;
        occupiedPosition["10,3"] = true;
        occupiedPosition["10,4"] = true;
        occupiedPosition["10,38"] = true;
        occupiedPosition["10,39"] = true;
        occupiedPosition["10,64"] = true;
        occupiedPosition["11,-56"] = true;
        occupiedPosition["11,-53"] = true;
        occupiedPosition["11,-52"] = true;
        occupiedPosition["11,-41"] = true;
        occupiedPosition["11,-40"] = true;
        occupiedPosition["11,-39"] = true;
        occupiedPosition["11,-38"] = true;
        occupiedPosition["11,-37"] = true;
        occupiedPosition["11,-36"] = true;
        occupiedPosition["11,-25"] = true;
        occupiedPosition["11,-24"] = true;
        occupiedPosition["11,-22"] = true;
        occupiedPosition["11,-21"] = true;
        occupiedPosition["11,-18"] = true;
        occupiedPosition["11,-17"] = true;
        occupiedPosition["11,-16"] = true;
        occupiedPosition["11,-8"] = true;
        occupiedPosition["11,-7"] = true;
        occupiedPosition["11,-6"] = true;
        occupiedPosition["11,-5"] = true;
        occupiedPosition["11,-4"] = true;
        occupiedPosition["11,-2"] = true;
        occupiedPosition["11,-1"] = true;
        occupiedPosition["11,0"] = true;
        occupiedPosition["11,1"] = true;
        occupiedPosition["11,2"] = true;
        occupiedPosition["11,3"] = true;
        occupiedPosition["11,4"] = true;
        occupiedPosition["11,5"] = true;
        occupiedPosition["11,6"] = true;
        occupiedPosition["11,7"] = true;
        occupiedPosition["11,8"] = true;
        occupiedPosition["11,9"] = true;
        occupiedPosition["11,10"] = true;
        occupiedPosition["11,12"] = true;
        occupiedPosition["11,13"] = true;
        occupiedPosition["11,14"] = true;
        occupiedPosition["11,15"] = true;
        occupiedPosition["11,16"] = true;
        occupiedPosition["11,18"] = true;
        occupiedPosition["11,19"] = true;
        occupiedPosition["11,20"] = true;
        occupiedPosition["11,21"] = true;
        occupiedPosition["11,22"] = true;
        occupiedPosition["11,41"] = true;
        occupiedPosition["11,42"] = true;
        occupiedPosition["11,43"] = true;
        occupiedPosition["11,44"] = true;
        occupiedPosition["11,45"] = true;
        occupiedPosition["11,46"] = true;
        occupiedPosition["11,64"] = true;
        occupiedPosition["12,-56"] = true;
        occupiedPosition["12,-53"] = true;
        occupiedPosition["12,-52"] = true;
        occupiedPosition["12,-41"] = true;
        occupiedPosition["12,-40"] = true;
        occupiedPosition["12,-39"] = true;
        occupiedPosition["12,-38"] = true;
        occupiedPosition["12,-37"] = true;
        occupiedPosition["12,-36"] = true;
        occupiedPosition["12,-25"] = true;
        occupiedPosition["12,-24"] = true;
        occupiedPosition["12,-22"] = true;
        occupiedPosition["12,-21"] = true;
        occupiedPosition["12,-18"] = true;
        occupiedPosition["12,-17"] = true;
        occupiedPosition["12,-16"] = true;
        occupiedPosition["12,-8"] = true;
        occupiedPosition["12,-7"] = true;
        occupiedPosition["12,-6"] = true;
        occupiedPosition["12,-5"] = true;
        occupiedPosition["12,-4"] = true;
        occupiedPosition["12,-3"] = true;
        occupiedPosition["12,-2"] = true;
        occupiedPosition["12,-1"] = true;
        occupiedPosition["12,0"] = true;
        occupiedPosition["12,1"] = true;
        occupiedPosition["12,2"] = true;
        occupiedPosition["12,3"] = true;
        occupiedPosition["12,4"] = true;
        occupiedPosition["12,5"] = true;
        occupiedPosition["12,6"] = true;
        occupiedPosition["12,7"] = true;
        occupiedPosition["12,8"] = true;
        occupiedPosition["12,9"] = true;
        occupiedPosition["12,10"] = true;
        occupiedPosition["12,11"] = true;
        occupiedPosition["12,12"] = true;
        occupiedPosition["12,13"] = true;
        occupiedPosition["12,14"] = true;
        occupiedPosition["12,15"] = true;
        occupiedPosition["12,16"] = true;
        occupiedPosition["12,17"] = true;
        occupiedPosition["12,18"] = true;
        occupiedPosition["12,19"] = true;
        occupiedPosition["12,20"] = true;
        occupiedPosition["12,21"] = true;
        occupiedPosition["12,22"] = true;
        occupiedPosition["12,41"] = true;
        occupiedPosition["12,42"] = true;
        occupiedPosition["12,43"] = true;
        occupiedPosition["12,44"] = true;
        occupiedPosition["12,45"] = true;
        occupiedPosition["12,46"] = true;
        occupiedPosition["12,61"] = true;
        occupiedPosition["12,64"] = true;
        occupiedPosition["13,-56"] = true;
        occupiedPosition["13,-53"] = true;
        occupiedPosition["13,-52"] = true;
        occupiedPosition["13,-51"] = true;
        occupiedPosition["13,-41"] = true;
        occupiedPosition["13,-40"] = true;
        occupiedPosition["13,-39"] = true;
        occupiedPosition["13,-38"] = true;
        occupiedPosition["13,-37"] = true;
        occupiedPosition["13,-36"] = true;
        occupiedPosition["13,-25"] = true;
        occupiedPosition["13,-24"] = true;
        occupiedPosition["13,-22"] = true;
        occupiedPosition["13,-21"] = true;
        occupiedPosition["13,-20"] = true;
        occupiedPosition["13,-19"] = true;
        occupiedPosition["13,-18"] = true;
        occupiedPosition["13,-17"] = true;
        occupiedPosition["13,-16"] = true;
        occupiedPosition["13,-8"] = true;
        occupiedPosition["13,-7"] = true;
        occupiedPosition["13,-4"] = true;
        occupiedPosition["13,-3"] = true;
        occupiedPosition["13,-2"] = true;
        occupiedPosition["13,-1"] = true;
        occupiedPosition["13,0"] = true;
        occupiedPosition["13,1"] = true;
        occupiedPosition["13,2"] = true;
        occupiedPosition["13,3"] = true;
        occupiedPosition["13,4"] = true;
        occupiedPosition["13,5"] = true;
        occupiedPosition["13,6"] = true;
        occupiedPosition["13,9"] = true;
        occupiedPosition["13,10"] = true;
        occupiedPosition["13,11"] = true;
        occupiedPosition["13,12"] = true;
        occupiedPosition["13,15"] = true;
        occupiedPosition["13,16"] = true;
        occupiedPosition["13,17"] = true;
        occupiedPosition["13,18"] = true;
        occupiedPosition["13,21"] = true;
        occupiedPosition["13,22"] = true;
        occupiedPosition["13,41"] = true;
        occupiedPosition["13,42"] = true;
        occupiedPosition["13,45"] = true;
        occupiedPosition["13,46"] = true;
        occupiedPosition["13,61"] = true;
        occupiedPosition["14,-56"] = true;
        occupiedPosition["14,-53"] = true;
        occupiedPosition["14,-52"] = true;
        occupiedPosition["14,-51"] = true;
        occupiedPosition["14,-50"] = true;
        occupiedPosition["14,-49"] = true;
        occupiedPosition["14,-48"] = true;
        occupiedPosition["14,-47"] = true;
        occupiedPosition["14,-46"] = true;
        occupiedPosition["14,-45"] = true;
        occupiedPosition["14,-44"] = true;
        occupiedPosition["14,-43"] = true;
        occupiedPosition["14,-42"] = true;
        occupiedPosition["14,-41"] = true;
        occupiedPosition["14,-40"] = true;
        occupiedPosition["14,-37"] = true;
        occupiedPosition["14,-36"] = true;
        occupiedPosition["14,-35"] = true;
        occupiedPosition["14,-34"] = true;
        occupiedPosition["14,-33"] = true;
        occupiedPosition["14,-32"] = true;
        occupiedPosition["14,-31"] = true;
        occupiedPosition["14,-30"] = true;
        occupiedPosition["14,-29"] = true;
        occupiedPosition["14,-28"] = true;
        occupiedPosition["14,-27"] = true;
        occupiedPosition["14,-26"] = true;
        occupiedPosition["14,-25"] = true;
        occupiedPosition["14,-24"] = true;
        occupiedPosition["14,-22"] = true;
        occupiedPosition["14,-21"] = true;
        occupiedPosition["14,-20"] = true;
        occupiedPosition["14,-19"] = true;
        occupiedPosition["14,-18"] = true;
        occupiedPosition["14,-17"] = true;
        occupiedPosition["14,-16"] = true;
        occupiedPosition["14,-8"] = true;
        occupiedPosition["14,-7"] = true;
        occupiedPosition["14,-4"] = true;
        occupiedPosition["14,-3"] = true;
        occupiedPosition["14,-2"] = true;
        occupiedPosition["14,-1"] = true;
        occupiedPosition["14,0"] = true;
        occupiedPosition["14,1"] = true;
        occupiedPosition["14,2"] = true;
        occupiedPosition["14,3"] = true;
        occupiedPosition["14,4"] = true;
        occupiedPosition["14,5"] = true;
        occupiedPosition["14,6"] = true;
        occupiedPosition["14,9"] = true;
        occupiedPosition["14,10"] = true;
        occupiedPosition["14,11"] = true;
        occupiedPosition["14,12"] = true;
        occupiedPosition["14,15"] = true;
        occupiedPosition["14,16"] = true;
        occupiedPosition["14,17"] = true;
        occupiedPosition["14,18"] = true;
        occupiedPosition["14,21"] = true;
        occupiedPosition["14,22"] = true;
        occupiedPosition["14,26"] = true;
        occupiedPosition["14,27"] = true;
        occupiedPosition["14,28"] = true;
        occupiedPosition["14,29"] = true;
        occupiedPosition["14,31"] = true;
        occupiedPosition["14,32"] = true;
        occupiedPosition["14,33"] = true;
        occupiedPosition["14,34"] = true;
        occupiedPosition["14,35"] = true;
        occupiedPosition["14,36"] = true;
        occupiedPosition["14,37"] = true;
        occupiedPosition["14,38"] = true;
        occupiedPosition["14,39"] = true;
        occupiedPosition["14,40"] = true;
        occupiedPosition["14,41"] = true;
        occupiedPosition["14,42"] = true;
        occupiedPosition["14,43"] = true;
        occupiedPosition["14,44"] = true;
        occupiedPosition["14,45"] = true;
        occupiedPosition["14,46"] = true;
        occupiedPosition["14,47"] = true;
        occupiedPosition["14,48"] = true;
        occupiedPosition["14,49"] = true;
        occupiedPosition["14,50"] = true;
        occupiedPosition["14,51"] = true;
        occupiedPosition["14,52"] = true;
        occupiedPosition["14,53"] = true;
        occupiedPosition["14,54"] = true;
        occupiedPosition["14,55"] = true;
        occupiedPosition["14,56"] = true;
        occupiedPosition["14,61"] = true;
        occupiedPosition["14,64"] = true;
        occupiedPosition["15,-56"] = true;
        occupiedPosition["15,-54"] = true;
        occupiedPosition["15,-53"] = true;
        occupiedPosition["15,-52"] = true;
        occupiedPosition["15,-50"] = true;
        occupiedPosition["15,-49"] = true;
        occupiedPosition["15,-48"] = true;
        occupiedPosition["15,-47"] = true;
        occupiedPosition["15,-46"] = true;
        occupiedPosition["15,-45"] = true;
        occupiedPosition["15,-44"] = true;
        occupiedPosition["15,-43"] = true;
        occupiedPosition["15,-42"] = true;
        occupiedPosition["15,-41"] = true;
        occupiedPosition["15,-40"] = true;
        occupiedPosition["15,-37"] = true;
        occupiedPosition["15,-36"] = true;
        occupiedPosition["15,-35"] = true;
        occupiedPosition["15,-34"] = true;
        occupiedPosition["15,-33"] = true;
        occupiedPosition["15,-32"] = true;
        occupiedPosition["15,-31"] = true;
        occupiedPosition["15,-30"] = true;
        occupiedPosition["15,-29"] = true;
        occupiedPosition["15,-28"] = true;
        occupiedPosition["15,-27"] = true;
        occupiedPosition["15,-26"] = true;
        occupiedPosition["15,-25"] = true;
        occupiedPosition["15,-24"] = true;
        occupiedPosition["15,-23"] = true;
        occupiedPosition["15,-22"] = true;
        occupiedPosition["15,-21"] = true;
        occupiedPosition["15,-20"] = true;
        occupiedPosition["15,-19"] = true;
        occupiedPosition["15,-18"] = true;
        occupiedPosition["15,-17"] = true;
        occupiedPosition["15,-16"] = true;
        occupiedPosition["15,-8"] = true;
        occupiedPosition["15,-7"] = true;
        occupiedPosition["15,-6"] = true;
        occupiedPosition["15,-5"] = true;
        occupiedPosition["15,-4"] = true;
        occupiedPosition["15,-3"] = true;
        occupiedPosition["15,-2"] = true;
        occupiedPosition["15,-1"] = true;
        occupiedPosition["15,0"] = true;
        occupiedPosition["15,1"] = true;
        occupiedPosition["15,2"] = true;
        occupiedPosition["15,3"] = true;
        occupiedPosition["15,4"] = true;
        occupiedPosition["15,5"] = true;
        occupiedPosition["15,6"] = true;
        occupiedPosition["15,7"] = true;
        occupiedPosition["15,8"] = true;
        occupiedPosition["15,9"] = true;
        occupiedPosition["15,10"] = true;
        occupiedPosition["15,11"] = true;
        occupiedPosition["15,12"] = true;
        occupiedPosition["15,13"] = true;
        occupiedPosition["15,14"] = true;
        occupiedPosition["15,15"] = true;
        occupiedPosition["15,16"] = true;
        occupiedPosition["15,17"] = true;
        occupiedPosition["15,18"] = true;
        occupiedPosition["15,19"] = true;
        occupiedPosition["15,20"] = true;
        occupiedPosition["15,21"] = true;
        occupiedPosition["15,22"] = true;
        occupiedPosition["15,26"] = true;
        occupiedPosition["15,27"] = true;
        occupiedPosition["15,28"] = true;
        occupiedPosition["15,29"] = true;
        occupiedPosition["15,30"] = true;
        occupiedPosition["15,31"] = true;
        occupiedPosition["15,32"] = true;
        occupiedPosition["15,33"] = true;
        occupiedPosition["15,34"] = true;
        occupiedPosition["15,35"] = true;
        occupiedPosition["15,36"] = true;
        occupiedPosition["15,37"] = true;
        occupiedPosition["15,38"] = true;
        occupiedPosition["15,39"] = true;
        occupiedPosition["15,40"] = true;
        occupiedPosition["15,41"] = true;
        occupiedPosition["15,42"] = true;
        occupiedPosition["15,43"] = true;
        occupiedPosition["15,44"] = true;
        occupiedPosition["15,45"] = true;
        occupiedPosition["15,46"] = true;
        occupiedPosition["15,47"] = true;
        occupiedPosition["15,48"] = true;
        occupiedPosition["15,49"] = true;
        occupiedPosition["15,50"] = true;
        occupiedPosition["15,51"] = true;
        occupiedPosition["15,52"] = true;
        occupiedPosition["15,53"] = true;
        occupiedPosition["15,54"] = true;
        occupiedPosition["15,55"] = true;
        occupiedPosition["15,56"] = true;
        occupiedPosition["15,64"] = true;
        occupiedPosition["16,-56"] = true;
        occupiedPosition["16,-54"] = true;
        occupiedPosition["16,-53"] = true;
        occupiedPosition["16,-52"] = true;
        occupiedPosition["16,-49"] = true;
        occupiedPosition["16,-48"] = true;
        occupiedPosition["16,-45"] = true;
        occupiedPosition["16,-44"] = true;
        occupiedPosition["16,-33"] = true;
        occupiedPosition["16,-32"] = true;
        occupiedPosition["16,-29"] = true;
        occupiedPosition["16,-28"] = true;
        occupiedPosition["16,-27"] = true;
        occupiedPosition["16,-26"] = true;
        occupiedPosition["16,-25"] = true;
        occupiedPosition["16,-23"] = true;
        occupiedPosition["16,-22"] = true;
        occupiedPosition["16,-21"] = true;
        occupiedPosition["16,-20"] = true;
        occupiedPosition["16,-19"] = true;
        occupiedPosition["16,-18"] = true;
        occupiedPosition["16,-17"] = true;
        occupiedPosition["16,-16"] = true;
        occupiedPosition["16,-8"] = true;
        occupiedPosition["16,-7"] = true;
        occupiedPosition["16,-6"] = true;
        occupiedPosition["16,-5"] = true;
        occupiedPosition["16,-4"] = true;
        occupiedPosition["16,-3"] = true;
        occupiedPosition["16,-2"] = true;
        occupiedPosition["16,-1"] = true;
        occupiedPosition["16,0"] = true;
        occupiedPosition["16,1"] = true;
        occupiedPosition["16,2"] = true;
        occupiedPosition["16,3"] = true;
        occupiedPosition["16,4"] = true;
        occupiedPosition["16,5"] = true;
        occupiedPosition["16,6"] = true;
        occupiedPosition["16,7"] = true;
        occupiedPosition["16,8"] = true;
        occupiedPosition["16,9"] = true;
        occupiedPosition["16,10"] = true;
        occupiedPosition["16,11"] = true;
        occupiedPosition["16,12"] = true;
        occupiedPosition["16,13"] = true;
        occupiedPosition["16,14"] = true;
        occupiedPosition["16,15"] = true;
        occupiedPosition["16,16"] = true;
        occupiedPosition["16,17"] = true;
        occupiedPosition["16,18"] = true;
        occupiedPosition["16,19"] = true;
        occupiedPosition["16,20"] = true;
        occupiedPosition["16,21"] = true;
        occupiedPosition["16,22"] = true;
        occupiedPosition["16,26"] = true;
        occupiedPosition["16,27"] = true;
        occupiedPosition["16,28"] = true;
        occupiedPosition["16,30"] = true;
        occupiedPosition["16,31"] = true;
        occupiedPosition["16,41"] = true;
        occupiedPosition["16,42"] = true;
        occupiedPosition["16,43"] = true;
        occupiedPosition["16,44"] = true;
        occupiedPosition["16,45"] = true;
        occupiedPosition["16,55"] = true;
        occupiedPosition["16,56"] = true;
        occupiedPosition["16,64"] = true;
        occupiedPosition["17,-56"] = true;
        occupiedPosition["17,-54"] = true;
        occupiedPosition["17,-53"] = true;
        occupiedPosition["17,-52"] = true;
        occupiedPosition["17,-49"] = true;
        occupiedPosition["17,-48"] = true;
        occupiedPosition["17,-47"] = true;
        occupiedPosition["17,-46"] = true;
        occupiedPosition["17,-45"] = true;
        occupiedPosition["17,-44"] = true;
        occupiedPosition["17,-33"] = true;
        occupiedPosition["17,-32"] = true;
        occupiedPosition["17,-31"] = true;
        occupiedPosition["17,-30"] = true;
        occupiedPosition["17,-29"] = true;
        occupiedPosition["17,-28"] = true;
        occupiedPosition["17,-27"] = true;
        occupiedPosition["17,-26"] = true;
        occupiedPosition["17,-23"] = true;
        occupiedPosition["17,-22"] = true;
        occupiedPosition["17,-21"] = true;
        occupiedPosition["17,-20"] = true;
        occupiedPosition["17,-19"] = true;
        occupiedPosition["17,-8"] = true;
        occupiedPosition["17,-7"] = true;
        occupiedPosition["17,-6"] = true;
        occupiedPosition["17,-5"] = true;
        occupiedPosition["17,-4"] = true;
        occupiedPosition["17,-2"] = true;
        occupiedPosition["17,-1"] = true;
        occupiedPosition["17,0"] = true;
        occupiedPosition["17,1"] = true;
        occupiedPosition["17,2"] = true;
        occupiedPosition["17,3"] = true;
        occupiedPosition["17,4"] = true;
        occupiedPosition["17,22"] = true;
        occupiedPosition["17,23"] = true;
        occupiedPosition["17,24"] = true;
        occupiedPosition["17,30"] = true;
        occupiedPosition["17,31"] = true;
        occupiedPosition["17,55"] = true;
        occupiedPosition["17,56"] = true;
        occupiedPosition["17,64"] = true;
        occupiedPosition["18,-56"] = true;
        occupiedPosition["18,-49"] = true;
        occupiedPosition["18,-48"] = true;
        occupiedPosition["18,-47"] = true;
        occupiedPosition["18,-46"] = true;
        occupiedPosition["18,-45"] = true;
        occupiedPosition["18,-44"] = true;
        occupiedPosition["18,-33"] = true;
        occupiedPosition["18,-32"] = true;
        occupiedPosition["18,-31"] = true;
        occupiedPosition["18,-30"] = true;
        occupiedPosition["18,-29"] = true;
        occupiedPosition["18,-28"] = true;
        occupiedPosition["18,-27"] = true;
        occupiedPosition["18,-26"] = true;
        occupiedPosition["18,-22"] = true;
        occupiedPosition["18,-21"] = true;
        occupiedPosition["18,-20"] = true;
        occupiedPosition["18,-19"] = true;
        occupiedPosition["18,-18"] = true;
        occupiedPosition["18,-8"] = true;
        occupiedPosition["18,-7"] = true;
        occupiedPosition["18,-6"] = true;
        occupiedPosition["18,-5"] = true;
        occupiedPosition["18,-4"] = true;
        occupiedPosition["18,-3"] = true;
        occupiedPosition["18,-2"] = true;
        occupiedPosition["18,-1"] = true;
        occupiedPosition["18,0"] = true;
        occupiedPosition["18,1"] = true;
        occupiedPosition["18,2"] = true;
        occupiedPosition["18,3"] = true;
        occupiedPosition["18,4"] = true;
        occupiedPosition["18,21"] = true;
        occupiedPosition["18,22"] = true;
        occupiedPosition["18,23"] = true;
        occupiedPosition["18,24"] = true;
        occupiedPosition["18,30"] = true;
        occupiedPosition["18,31"] = true;
        occupiedPosition["18,55"] = true;
        occupiedPosition["18,56"] = true;
        occupiedPosition["19,-56"] = true;
        occupiedPosition["19,-31"] = true;
        occupiedPosition["19,-30"] = true;
        occupiedPosition["19,-29"] = true;
        occupiedPosition["19,-23"] = true;
        occupiedPosition["19,-22"] = true;
        occupiedPosition["19,-21"] = true;
        occupiedPosition["19,-20"] = true;
        occupiedPosition["19,-19"] = true;
        occupiedPosition["19,-18"] = true;
        occupiedPosition["19,-13"] = true;
        occupiedPosition["19,-8"] = true;
        occupiedPosition["19,-7"] = true;
        occupiedPosition["19,-4"] = true;
        occupiedPosition["19,-3"] = true;
        occupiedPosition["19,-2"] = true;
        occupiedPosition["19,-1"] = true;
        occupiedPosition["19,0"] = true;
        occupiedPosition["19,1"] = true;
        occupiedPosition["19,2"] = true;
        occupiedPosition["19,3"] = true;
        occupiedPosition["19,4"] = true;
        occupiedPosition["19,22"] = true;
        occupiedPosition["19,23"] = true;
        occupiedPosition["19,24"] = true;
        occupiedPosition["19,30"] = true;
        occupiedPosition["19,31"] = true;
        occupiedPosition["19,55"] = true;
        occupiedPosition["19,56"] = true;
        occupiedPosition["19,64"] = true;
        occupiedPosition["20,-56"] = true;
        occupiedPosition["20,-54"] = true;
        occupiedPosition["20,-53"] = true;
        occupiedPosition["20,-30"] = true;
        occupiedPosition["20,-29"] = true;
        occupiedPosition["20,-23"] = true;
        occupiedPosition["20,-22"] = true;
        occupiedPosition["20,-21"] = true;
        occupiedPosition["20,-20"] = true;
        occupiedPosition["20,-19"] = true;
        occupiedPosition["20,-18"] = true;
        occupiedPosition["20,-14"] = true;
        occupiedPosition["20,-13"] = true;
        occupiedPosition["20,-12"] = true;
        occupiedPosition["20,-8"] = true;
        occupiedPosition["20,-7"] = true;
        occupiedPosition["20,-4"] = true;
        occupiedPosition["20,-3"] = true;
        occupiedPosition["20,-2"] = true;
        occupiedPosition["20,-1"] = true;
        occupiedPosition["20,0"] = true;
        occupiedPosition["20,1"] = true;
        occupiedPosition["20,2"] = true;
        occupiedPosition["20,3"] = true;
        occupiedPosition["20,4"] = true;
        occupiedPosition["20,20"] = true;
        occupiedPosition["20,21"] = true;
        occupiedPosition["20,22"] = true;
        occupiedPosition["20,30"] = true;
        occupiedPosition["20,31"] = true;
        occupiedPosition["20,55"] = true;
        occupiedPosition["20,56"] = true;
        occupiedPosition["20,64"] = true;
        occupiedPosition["21,-56"] = true;
        occupiedPosition["21,-55"] = true;
        occupiedPosition["21,-54"] = true;
        occupiedPosition["21,-53"] = true;
        occupiedPosition["21,-52"] = true;
        occupiedPosition["21,-21"] = true;
        occupiedPosition["21,-20"] = true;
        occupiedPosition["21,-19"] = true;
        occupiedPosition["21,-18"] = true;
        occupiedPosition["21,-14"] = true;
        occupiedPosition["21,-13"] = true;
        occupiedPosition["21,-12"] = true;
        occupiedPosition["21,-8"] = true;
        occupiedPosition["21,-7"] = true;
        occupiedPosition["21,-6"] = true;
        occupiedPosition["21,-5"] = true;
        occupiedPosition["21,-4"] = true;
        occupiedPosition["21,-3"] = true;
        occupiedPosition["21,-2"] = true;
        occupiedPosition["21,-1"] = true;
        occupiedPosition["21,0"] = true;
        occupiedPosition["21,1"] = true;
        occupiedPosition["21,2"] = true;
        occupiedPosition["21,3"] = true;
        occupiedPosition["21,4"] = true;
        occupiedPosition["21,19"] = true;
        occupiedPosition["21,20"] = true;
        occupiedPosition["21,21"] = true;
        occupiedPosition["21,22"] = true;
        occupiedPosition["21,30"] = true;
        occupiedPosition["21,31"] = true;
        occupiedPosition["21,55"] = true;
        occupiedPosition["21,56"] = true;
        occupiedPosition["22,-56"] = true;
        occupiedPosition["22,-55"] = true;
        occupiedPosition["22,-54"] = true;
        occupiedPosition["22,-53"] = true;
        occupiedPosition["22,-52"] = true;
        occupiedPosition["22,-42"] = true;
        occupiedPosition["22,-41"] = true;
        occupiedPosition["22,-40"] = true;
        occupiedPosition["22,-14"] = true;
        occupiedPosition["22,-13"] = true;
        occupiedPosition["22,-12"] = true;
        occupiedPosition["22,-8"] = true;
        occupiedPosition["22,-7"] = true;
        occupiedPosition["22,-6"] = true;
        occupiedPosition["22,-5"] = true;
        occupiedPosition["22,-4"] = true;
        occupiedPosition["22,-3"] = true;
        occupiedPosition["22,-1"] = true;
        occupiedPosition["22,0"] = true;
        occupiedPosition["22,1"] = true;
        occupiedPosition["22,2"] = true;
        occupiedPosition["22,3"] = true;
        occupiedPosition["22,4"] = true;
        occupiedPosition["22,20"] = true;
        occupiedPosition["22,21"] = true;
        occupiedPosition["22,22"] = true;
        occupiedPosition["22,29"] = true;
        occupiedPosition["22,30"] = true;
        occupiedPosition["22,31"] = true;
        occupiedPosition["22,55"] = true;
        occupiedPosition["22,56"] = true;
        occupiedPosition["22,64"] = true;
        occupiedPosition["23,-54"] = true;
        occupiedPosition["23,-53"] = true;
        occupiedPosition["23,-42"] = true;
        occupiedPosition["23,-41"] = true;
        occupiedPosition["23,-40"] = true;
        occupiedPosition["23,-1"] = true;
        occupiedPosition["23,0"] = true;
        occupiedPosition["23,1"] = true;
        occupiedPosition["23,2"] = true;
        occupiedPosition["23,3"] = true;
        occupiedPosition["23,4"] = true;
        occupiedPosition["23,29"] = true;
        occupiedPosition["23,30"] = true;
        occupiedPosition["23,31"] = true;
        occupiedPosition["23,55"] = true;
        occupiedPosition["23,56"] = true;
        occupiedPosition["24,-42"] = true;
        occupiedPosition["24,-41"] = true;
        occupiedPosition["24,-40"] = true;
        occupiedPosition["24,-1"] = true;
        occupiedPosition["24,0"] = true;
        occupiedPosition["24,1"] = true;
        occupiedPosition["24,2"] = true;
        occupiedPosition["24,3"] = true;
        occupiedPosition["24,4"] = true;
        occupiedPosition["24,9"] = true;
        occupiedPosition["24,10"] = true;
        occupiedPosition["24,11"] = true;
        occupiedPosition["24,12"] = true;
        occupiedPosition["24,13"] = true;
        occupiedPosition["24,14"] = true;
        occupiedPosition["24,15"] = true;
        occupiedPosition["24,16"] = true;
        occupiedPosition["24,29"] = true;
        occupiedPosition["24,30"] = true;
        occupiedPosition["24,31"] = true;
        occupiedPosition["24,55"] = true;
        occupiedPosition["24,56"] = true;
        occupiedPosition["24,64"] = true;
        occupiedPosition["25,-41"] = true;
        occupiedPosition["25,-1"] = true;
        occupiedPosition["25,0"] = true;
        occupiedPosition["25,1"] = true;
        occupiedPosition["25,2"] = true;
        occupiedPosition["25,3"] = true;
        occupiedPosition["25,4"] = true;
        occupiedPosition["25,8"] = true;
        occupiedPosition["25,9"] = true;
        occupiedPosition["25,10"] = true;
        occupiedPosition["25,11"] = true;
        occupiedPosition["25,12"] = true;
        occupiedPosition["25,13"] = true;
        occupiedPosition["25,14"] = true;
        occupiedPosition["25,15"] = true;
        occupiedPosition["25,16"] = true;
        occupiedPosition["25,20"] = true;
        occupiedPosition["25,21"] = true;
        occupiedPosition["25,29"] = true;
        occupiedPosition["25,30"] = true;
        occupiedPosition["25,31"] = true;
        occupiedPosition["25,55"] = true;
        occupiedPosition["25,56"] = true;
        occupiedPosition["25,60"] = true;
        occupiedPosition["25,61"] = true;
        occupiedPosition["25,64"] = true;
        occupiedPosition["26,-56"] = true;
        occupiedPosition["26,-55"] = true;
        occupiedPosition["26,-54"] = true;
        occupiedPosition["26,-8"] = true;
        occupiedPosition["26,-7"] = true;
        occupiedPosition["26,-6"] = true;
        occupiedPosition["26,-1"] = true;
        occupiedPosition["26,0"] = true;
        occupiedPosition["26,1"] = true;
        occupiedPosition["26,2"] = true;
        occupiedPosition["26,3"] = true;
        occupiedPosition["26,4"] = true;
        occupiedPosition["26,9"] = true;
        occupiedPosition["26,10"] = true;
        occupiedPosition["26,11"] = true;
        occupiedPosition["26,12"] = true;
        occupiedPosition["26,13"] = true;
        occupiedPosition["26,14"] = true;
        occupiedPosition["26,15"] = true;
        occupiedPosition["26,16"] = true;
        occupiedPosition["26,18"] = true;
        occupiedPosition["26,19"] = true;
        occupiedPosition["26,20"] = true;
        occupiedPosition["26,21"] = true;
        occupiedPosition["26,29"] = true;
        occupiedPosition["26,30"] = true;
        occupiedPosition["26,31"] = true;
        occupiedPosition["26,55"] = true;
        occupiedPosition["26,56"] = true;
        occupiedPosition["26,59"] = true;
        occupiedPosition["26,60"] = true;
        occupiedPosition["26,61"] = true;
        occupiedPosition["27,-56"] = true;
        occupiedPosition["27,-55"] = true;
        occupiedPosition["27,-54"] = true;
        occupiedPosition["27,-35"] = true;
        occupiedPosition["27,-34"] = true;
        occupiedPosition["27,-33"] = true;
        occupiedPosition["27,-32"] = true;
        occupiedPosition["27,-31"] = true;
        occupiedPosition["27,-30"] = true;
        occupiedPosition["27,-29"] = true;
        occupiedPosition["27,-8"] = true;
        occupiedPosition["27,-7"] = true;
        occupiedPosition["27,-6"] = true;
        occupiedPosition["27,-1"] = true;
        occupiedPosition["27,0"] = true;
        occupiedPosition["27,1"] = true;
        occupiedPosition["27,2"] = true;
        occupiedPosition["27,3"] = true;
        occupiedPosition["27,4"] = true;
        occupiedPosition["27,9"] = true;
        occupiedPosition["27,10"] = true;
        occupiedPosition["27,13"] = true;
        occupiedPosition["27,14"] = true;
        occupiedPosition["27,15"] = true;
        occupiedPosition["27,16"] = true;
        occupiedPosition["27,17"] = true;
        occupiedPosition["27,18"] = true;
        occupiedPosition["27,19"] = true;
        occupiedPosition["27,20"] = true;
        occupiedPosition["27,21"] = true;
        occupiedPosition["27,30"] = true;
        occupiedPosition["27,31"] = true;
        occupiedPosition["27,32"] = true;
        occupiedPosition["27,33"] = true;
        occupiedPosition["27,34"] = true;
        occupiedPosition["27,35"] = true;
        occupiedPosition["27,36"] = true;
        occupiedPosition["27,37"] = true;
        occupiedPosition["27,38"] = true;
        occupiedPosition["27,39"] = true;
        occupiedPosition["27,40"] = true;
        occupiedPosition["27,41"] = true;
        occupiedPosition["27,42"] = true;
        occupiedPosition["27,43"] = true;
        occupiedPosition["27,44"] = true;
        occupiedPosition["27,45"] = true;
        occupiedPosition["27,46"] = true;
        occupiedPosition["27,47"] = true;
        occupiedPosition["27,48"] = true;
        occupiedPosition["27,49"] = true;
        occupiedPosition["27,50"] = true;
        occupiedPosition["27,51"] = true;
        occupiedPosition["27,52"] = true;
        occupiedPosition["27,53"] = true;
        occupiedPosition["27,54"] = true;
        occupiedPosition["27,55"] = true;
        occupiedPosition["27,56"] = true;
        occupiedPosition["27,60"] = true;
        occupiedPosition["27,61"] = true;
        occupiedPosition["28,-55"] = true;
        occupiedPosition["28,-35"] = true;
        occupiedPosition["28,-34"] = true;
        occupiedPosition["28,-33"] = true;
        occupiedPosition["28,-32"] = true;
        occupiedPosition["28,-31"] = true;
        occupiedPosition["28,-30"] = true;
        occupiedPosition["28,-29"] = true;
        occupiedPosition["28,-8"] = true;
        occupiedPosition["28,-7"] = true;
        occupiedPosition["28,-6"] = true;
        occupiedPosition["28,-1"] = true;
        occupiedPosition["28,0"] = true;
        occupiedPosition["28,1"] = true;
        occupiedPosition["28,2"] = true;
        occupiedPosition["28,3"] = true;
        occupiedPosition["28,4"] = true;
        occupiedPosition["28,9"] = true;
        occupiedPosition["28,10"] = true;
        occupiedPosition["28,13"] = true;
        occupiedPosition["28,14"] = true;
        occupiedPosition["28,15"] = true;
        occupiedPosition["28,16"] = true;
        occupiedPosition["28,17"] = true;
        occupiedPosition["28,18"] = true;
        occupiedPosition["28,19"] = true;
        occupiedPosition["28,20"] = true;
        occupiedPosition["28,21"] = true;
        occupiedPosition["28,30"] = true;
        occupiedPosition["28,31"] = true;
        occupiedPosition["28,32"] = true;
        occupiedPosition["28,33"] = true;
        occupiedPosition["28,34"] = true;
        occupiedPosition["28,35"] = true;
        occupiedPosition["28,36"] = true;
        occupiedPosition["28,37"] = true;
        occupiedPosition["28,38"] = true;
        occupiedPosition["28,39"] = true;
        occupiedPosition["28,40"] = true;
        occupiedPosition["28,41"] = true;
        occupiedPosition["28,42"] = true;
        occupiedPosition["28,43"] = true;
        occupiedPosition["28,44"] = true;
        occupiedPosition["28,45"] = true;
        occupiedPosition["28,46"] = true;
        occupiedPosition["28,47"] = true;
        occupiedPosition["28,48"] = true;
        occupiedPosition["28,49"] = true;
        occupiedPosition["28,50"] = true;
        occupiedPosition["28,51"] = true;
        occupiedPosition["28,52"] = true;
        occupiedPosition["28,53"] = true;
        occupiedPosition["28,54"] = true;
        occupiedPosition["28,55"] = true;
        occupiedPosition["28,56"] = true;
        occupiedPosition["28,60"] = true;
        occupiedPosition["28,61"] = true;
        occupiedPosition["29,-35"] = true;
        occupiedPosition["29,-34"] = true;
        occupiedPosition["29,-33"] = true;
        occupiedPosition["29,-32"] = true;
        occupiedPosition["29,-31"] = true;
        occupiedPosition["29,-30"] = true;
        occupiedPosition["29,-29"] = true;
        occupiedPosition["29,-18"] = true;
        occupiedPosition["29,-17"] = true;
        occupiedPosition["29,-16"] = true;
        occupiedPosition["29,-15"] = true;
        occupiedPosition["29,-14"] = true;
        occupiedPosition["29,-7"] = true;
        occupiedPosition["29,-6"] = true;
        occupiedPosition["29,-1"] = true;
        occupiedPosition["29,0"] = true;
        occupiedPosition["29,1"] = true;
        occupiedPosition["29,2"] = true;
        occupiedPosition["29,3"] = true;
        occupiedPosition["29,4"] = true;
        occupiedPosition["29,9"] = true;
        occupiedPosition["29,10"] = true;
        occupiedPosition["29,11"] = true;
        occupiedPosition["29,12"] = true;
        occupiedPosition["29,13"] = true;
        occupiedPosition["29,14"] = true;
        occupiedPosition["29,15"] = true;
        occupiedPosition["29,16"] = true;
        occupiedPosition["29,17"] = true;
        occupiedPosition["29,18"] = true;
        occupiedPosition["29,19"] = true;
        occupiedPosition["29,20"] = true;
        occupiedPosition["29,21"] = true;
        occupiedPosition["29,32"] = true;
        occupiedPosition["29,33"] = true;
        occupiedPosition["29,34"] = true;
        occupiedPosition["29,35"] = true;
        occupiedPosition["29,36"] = true;
        occupiedPosition["29,37"] = true;
        occupiedPosition["30,-35"] = true;
        occupiedPosition["30,-34"] = true;
        occupiedPosition["30,-33"] = true;
        occupiedPosition["30,-32"] = true;
        occupiedPosition["30,-31"] = true;
        occupiedPosition["30,-30"] = true;
        occupiedPosition["30,-29"] = true;
        occupiedPosition["30,-20"] = true;
        occupiedPosition["30,-19"] = true;
        occupiedPosition["30,-18"] = true;
        occupiedPosition["30,-17"] = true;
        occupiedPosition["30,-16"] = true;
        occupiedPosition["30,-15"] = true;
        occupiedPosition["30,-14"] = true;
        occupiedPosition["30,-13"] = true;
        occupiedPosition["30,-12"] = true;
        occupiedPosition["30,-11"] = true;
        occupiedPosition["30,-10"] = true;
        occupiedPosition["30,-9"] = true;
        occupiedPosition["30,-8"] = true;
        occupiedPosition["30,-7"] = true;
        occupiedPosition["30,-1"] = true;
        occupiedPosition["30,0"] = true;
        occupiedPosition["30,1"] = true;
        occupiedPosition["30,2"] = true;
        occupiedPosition["30,3"] = true;
        occupiedPosition["30,4"] = true;
        occupiedPosition["30,9"] = true;
        occupiedPosition["30,10"] = true;
        occupiedPosition["30,11"] = true;
        occupiedPosition["30,12"] = true;
        occupiedPosition["30,13"] = true;
        occupiedPosition["30,14"] = true;
        occupiedPosition["30,15"] = true;
        occupiedPosition["30,16"] = true;
        occupiedPosition["30,17"] = true;
        occupiedPosition["30,18"] = true;
        occupiedPosition["30,19"] = true;
        occupiedPosition["30,20"] = true;
        occupiedPosition["30,32"] = true;
        occupiedPosition["30,33"] = true;
        occupiedPosition["30,34"] = true;
        occupiedPosition["30,35"] = true;
        occupiedPosition["30,36"] = true;
        occupiedPosition["30,37"] = true;
        occupiedPosition["30,38"] = true;
        occupiedPosition["30,39"] = true;
        occupiedPosition["30,40"] = true;
        occupiedPosition["30,41"] = true;
        occupiedPosition["30,42"] = true;
        occupiedPosition["30,43"] = true;
        occupiedPosition["31,-35"] = true;
        occupiedPosition["31,-34"] = true;
        occupiedPosition["31,-33"] = true;
        occupiedPosition["31,-32"] = true;
        occupiedPosition["31,-31"] = true;
        occupiedPosition["31,-30"] = true;
        occupiedPosition["31,-29"] = true;
        occupiedPosition["31,-20"] = true;
        occupiedPosition["31,-19"] = true;
        occupiedPosition["31,-18"] = true;
        occupiedPosition["31,-17"] = true;
        occupiedPosition["31,-16"] = true;
        occupiedPosition["31,-15"] = true;
        occupiedPosition["31,-14"] = true;
        occupiedPosition["31,-13"] = true;
        occupiedPosition["31,-12"] = true;
        occupiedPosition["31,-11"] = true;
        occupiedPosition["31,-10"] = true;
        occupiedPosition["31,-9"] = true;
        occupiedPosition["31,-8"] = true;
        occupiedPosition["31,-7"] = true;
        occupiedPosition["31,-6"] = true;
        occupiedPosition["31,-1"] = true;
        occupiedPosition["31,0"] = true;
        occupiedPosition["31,1"] = true;
        occupiedPosition["31,2"] = true;
        occupiedPosition["31,3"] = true;
        occupiedPosition["31,4"] = true;
        occupiedPosition["31,15"] = true;
        occupiedPosition["31,16"] = true;
        occupiedPosition["31,17"] = true;
        occupiedPosition["31,19"] = true;
        occupiedPosition["31,20"] = true;
        occupiedPosition["31,33"] = true;
        occupiedPosition["31,34"] = true;
        occupiedPosition["31,35"] = true;
        occupiedPosition["31,36"] = true;
        occupiedPosition["31,38"] = true;
        occupiedPosition["31,39"] = true;
        occupiedPosition["31,40"] = true;
        occupiedPosition["31,41"] = true;
        occupiedPosition["31,42"] = true;
        occupiedPosition["31,43"] = true;
        occupiedPosition["32,-35"] = true;
        occupiedPosition["32,-34"] = true;
        occupiedPosition["32,-33"] = true;
        occupiedPosition["32,-32"] = true;
        occupiedPosition["32,-31"] = true;
        occupiedPosition["32,-30"] = true;
        occupiedPosition["32,-29"] = true;
        occupiedPosition["32,-22"] = true;
        occupiedPosition["32,-21"] = true;
        occupiedPosition["32,-20"] = true;
        occupiedPosition["32,-19"] = true;
        occupiedPosition["32,-7"] = true;
        occupiedPosition["32,-6"] = true;
        occupiedPosition["32,-1"] = true;
        occupiedPosition["32,0"] = true;
        occupiedPosition["32,1"] = true;
        occupiedPosition["32,2"] = true;
        occupiedPosition["32,3"] = true;
        occupiedPosition["32,4"] = true;
        occupiedPosition["32,5"] = true;
        occupiedPosition["32,7"] = true;
        occupiedPosition["32,8"] = true;
        occupiedPosition["32,9"] = true;
        occupiedPosition["32,10"] = true;
        occupiedPosition["32,11"] = true;
        occupiedPosition["32,12"] = true;
        occupiedPosition["32,13"] = true;
        occupiedPosition["32,14"] = true;
        occupiedPosition["32,15"] = true;
        occupiedPosition["32,39"] = true;
        occupiedPosition["32,40"] = true;
        occupiedPosition["32,41"] = true;
        occupiedPosition["32,42"] = true;
        occupiedPosition["32,43"] = true;
        occupiedPosition["33,-23"] = true;
        occupiedPosition["33,-22"] = true;
        occupiedPosition["33,-21"] = true;
        occupiedPosition["33,-20"] = true;
        occupiedPosition["33,-19"] = true;
        occupiedPosition["33,-7"] = true;
        occupiedPosition["33,-6"] = true;
        occupiedPosition["33,-1"] = true;
        occupiedPosition["33,0"] = true;
        occupiedPosition["33,1"] = true;
        occupiedPosition["33,2"] = true;
        occupiedPosition["33,3"] = true;
        occupiedPosition["33,4"] = true;
        occupiedPosition["33,5"] = true;
        occupiedPosition["33,6"] = true;
        occupiedPosition["33,7"] = true;
        occupiedPosition["33,8"] = true;
        occupiedPosition["33,9"] = true;
        occupiedPosition["33,10"] = true;
        occupiedPosition["33,11"] = true;
        occupiedPosition["33,12"] = true;
        occupiedPosition["33,13"] = true;
        occupiedPosition["33,14"] = true;
        occupiedPosition["33,15"] = true;
        occupiedPosition["33,16"] = true;
        occupiedPosition["33,39"] = true;
        occupiedPosition["33,40"] = true;
        occupiedPosition["33,41"] = true;
        occupiedPosition["33,42"] = true;
        occupiedPosition["33,43"] = true;
        occupiedPosition["33,44"] = true;
        occupiedPosition["33,45"] = true;
        occupiedPosition["34,-23"] = true;
        occupiedPosition["34,-22"] = true;
        occupiedPosition["34,-21"] = true;
        occupiedPosition["34,-20"] = true;
        occupiedPosition["34,-19"] = true;
        occupiedPosition["34,-7"] = true;
        occupiedPosition["34,-6"] = true;
        occupiedPosition["34,-1"] = true;
        occupiedPosition["34,0"] = true;
        occupiedPosition["34,1"] = true;
        occupiedPosition["34,2"] = true;
        occupiedPosition["34,3"] = true;
        occupiedPosition["34,4"] = true;
        occupiedPosition["34,5"] = true;
        occupiedPosition["34,6"] = true;
        occupiedPosition["34,7"] = true;
        occupiedPosition["34,8"] = true;
        occupiedPosition["34,14"] = true;
        occupiedPosition["34,15"] = true;
        occupiedPosition["34,16"] = true;
        occupiedPosition["34,17"] = true;
        occupiedPosition["34,18"] = true;
        occupiedPosition["34,39"] = true;
        occupiedPosition["34,40"] = true;
        occupiedPosition["34,41"] = true;
        occupiedPosition["34,42"] = true;
        occupiedPosition["34,43"] = true;
        occupiedPosition["34,44"] = true;
        occupiedPosition["34,45"] = true;
        occupiedPosition["35,-23"] = true;
        occupiedPosition["35,-22"] = true;
        occupiedPosition["35,-21"] = true;
        occupiedPosition["35,-20"] = true;
        occupiedPosition["35,-19"] = true;
        occupiedPosition["35,-7"] = true;
        occupiedPosition["35,-6"] = true;
        occupiedPosition["35,-1"] = true;
        occupiedPosition["35,0"] = true;
        occupiedPosition["35,1"] = true;
        occupiedPosition["35,2"] = true;
        occupiedPosition["35,3"] = true;
        occupiedPosition["35,4"] = true;
        occupiedPosition["35,5"] = true;
        occupiedPosition["35,7"] = true;
        occupiedPosition["35,8"] = true;
        occupiedPosition["35,14"] = true;
        occupiedPosition["35,15"] = true;
        occupiedPosition["35,16"] = true;
        occupiedPosition["35,17"] = true;
        occupiedPosition["35,18"] = true;
        occupiedPosition["35,39"] = true;
        occupiedPosition["35,40"] = true;
        occupiedPosition["35,41"] = true;
        occupiedPosition["35,42"] = true;
        occupiedPosition["35,43"] = true;
        occupiedPosition["35,44"] = true;
        occupiedPosition["35,45"] = true;
        occupiedPosition["35,61"] = true;
        occupiedPosition["36,-23"] = true;
        occupiedPosition["36,-22"] = true;
        occupiedPosition["36,-21"] = true;
        occupiedPosition["36,-20"] = true;
        occupiedPosition["36,-19"] = true;
        occupiedPosition["36,-7"] = true;
        occupiedPosition["36,-6"] = true;
        occupiedPosition["36,-1"] = true;
        occupiedPosition["36,0"] = true;
        occupiedPosition["36,1"] = true;
        occupiedPosition["36,2"] = true;
        occupiedPosition["36,3"] = true;
        occupiedPosition["36,4"] = true;
        occupiedPosition["36,7"] = true;
        occupiedPosition["36,8"] = true;
        occupiedPosition["36,14"] = true;
        occupiedPosition["36,15"] = true;
        occupiedPosition["36,16"] = true;
        occupiedPosition["36,17"] = true;
        occupiedPosition["36,18"] = true;
        occupiedPosition["36,40"] = true;
        occupiedPosition["36,41"] = true;
        occupiedPosition["36,42"] = true;
        occupiedPosition["36,43"] = true;
        occupiedPosition["36,44"] = true;
        occupiedPosition["36,50"] = true;
        occupiedPosition["36,51"] = true;
        occupiedPosition["36,52"] = true;
        occupiedPosition["36,53"] = true;
        occupiedPosition["36,54"] = true;
        occupiedPosition["36,55"] = true;
        occupiedPosition["36,60"] = true;
        occupiedPosition["36,61"] = true;
        occupiedPosition["37,-35"] = true;
        occupiedPosition["37,-34"] = true;
        occupiedPosition["37,-33"] = true;
        occupiedPosition["37,-22"] = true;
        occupiedPosition["37,-21"] = true;
        occupiedPosition["37,-20"] = true;
        occupiedPosition["37,-19"] = true;
        occupiedPosition["37,-7"] = true;
        occupiedPosition["37,-6"] = true;
        occupiedPosition["37,-1"] = true;
        occupiedPosition["37,0"] = true;
        occupiedPosition["37,1"] = true;
        occupiedPosition["37,2"] = true;
        occupiedPosition["37,3"] = true;
        occupiedPosition["37,4"] = true;
        occupiedPosition["37,7"] = true;
        occupiedPosition["37,8"] = true;
        occupiedPosition["37,14"] = true;
        occupiedPosition["37,15"] = true;
        occupiedPosition["37,16"] = true;
        occupiedPosition["37,17"] = true;
        occupiedPosition["37,18"] = true;
        occupiedPosition["37,19"] = true;
        occupiedPosition["37,20"] = true;
        occupiedPosition["37,27"] = true;
        occupiedPosition["37,28"] = true;
        occupiedPosition["37,29"] = true;
        occupiedPosition["37,30"] = true;
        occupiedPosition["37,31"] = true;
        occupiedPosition["37,32"] = true;
        occupiedPosition["37,50"] = true;
        occupiedPosition["37,51"] = true;
        occupiedPosition["37,52"] = true;
        occupiedPosition["37,53"] = true;
        occupiedPosition["37,54"] = true;
        occupiedPosition["37,55"] = true;
        occupiedPosition["37,60"] = true;
        occupiedPosition["37,61"] = true;
        occupiedPosition["38,-35"] = true;
        occupiedPosition["38,-34"] = true;
        occupiedPosition["38,-33"] = true;
        occupiedPosition["38,-32"] = true;
        occupiedPosition["38,-23"] = true;
        occupiedPosition["38,-22"] = true;
        occupiedPosition["38,-20"] = true;
        occupiedPosition["38,-19"] = true;
        occupiedPosition["38,-7"] = true;
        occupiedPosition["38,-6"] = true;
        occupiedPosition["38,-1"] = true;
        occupiedPosition["38,0"] = true;
        occupiedPosition["38,1"] = true;
        occupiedPosition["38,2"] = true;
        occupiedPosition["38,3"] = true;
        occupiedPosition["38,4"] = true;
        occupiedPosition["38,7"] = true;
        occupiedPosition["38,8"] = true;
        occupiedPosition["38,14"] = true;
        occupiedPosition["38,15"] = true;
        occupiedPosition["38,17"] = true;
        occupiedPosition["38,18"] = true;
        occupiedPosition["38,19"] = true;
        occupiedPosition["38,20"] = true;
        occupiedPosition["38,27"] = true;
        occupiedPosition["38,28"] = true;
        occupiedPosition["38,29"] = true;
        occupiedPosition["38,30"] = true;
        occupiedPosition["38,31"] = true;
        occupiedPosition["38,32"] = true;
        occupiedPosition["38,40"] = true;
        occupiedPosition["38,41"] = true;
        occupiedPosition["38,50"] = true;
        occupiedPosition["38,51"] = true;
        occupiedPosition["38,54"] = true;
        occupiedPosition["38,55"] = true;
        occupiedPosition["38,61"] = true;
        occupiedPosition["39,-56"] = true;
        occupiedPosition["39,-55"] = true;
        occupiedPosition["39,-54"] = true;
        occupiedPosition["39,-35"] = true;
        occupiedPosition["39,-34"] = true;
        occupiedPosition["39,-33"] = true;
        occupiedPosition["39,-32"] = true;
        occupiedPosition["39,-27"] = true;
        occupiedPosition["39,-26"] = true;
        occupiedPosition["39,-25"] = true;
        occupiedPosition["39,-24"] = true;
        occupiedPosition["39,-23"] = true;
        occupiedPosition["39,-22"] = true;
        occupiedPosition["39,-20"] = true;
        occupiedPosition["39,-19"] = true;
        occupiedPosition["39,-7"] = true;
        occupiedPosition["39,-6"] = true;
        occupiedPosition["39,-1"] = true;
        occupiedPosition["39,0"] = true;
        occupiedPosition["39,1"] = true;
        occupiedPosition["39,2"] = true;
        occupiedPosition["39,3"] = true;
        occupiedPosition["39,4"] = true;
        occupiedPosition["39,7"] = true;
        occupiedPosition["39,8"] = true;
        occupiedPosition["39,14"] = true;
        occupiedPosition["39,15"] = true;
        occupiedPosition["39,17"] = true;
        occupiedPosition["39,18"] = true;
        occupiedPosition["39,19"] = true;
        occupiedPosition["39,27"] = true;
        occupiedPosition["39,28"] = true;
        occupiedPosition["39,29"] = true;
        occupiedPosition["39,30"] = true;
        occupiedPosition["39,31"] = true;
        occupiedPosition["39,32"] = true;
        occupiedPosition["39,40"] = true;
        occupiedPosition["39,41"] = true;
        occupiedPosition["39,42"] = true;
        occupiedPosition["39,43"] = true;
        occupiedPosition["39,44"] = true;
        occupiedPosition["39,45"] = true;
        occupiedPosition["39,46"] = true;
        occupiedPosition["39,47"] = true;
        occupiedPosition["39,48"] = true;
        occupiedPosition["39,49"] = true;
        occupiedPosition["39,50"] = true;
        occupiedPosition["39,51"] = true;
        occupiedPosition["39,54"] = true;
        occupiedPosition["39,55"] = true;
        occupiedPosition["40,-56"] = true;
        occupiedPosition["40,-55"] = true;
        occupiedPosition["40,-34"] = true;
        occupiedPosition["40,-33"] = true;
        occupiedPosition["40,-32"] = true;
        occupiedPosition["40,-31"] = true;
        occupiedPosition["40,-30"] = true;
        occupiedPosition["40,-28"] = true;
        occupiedPosition["40,-27"] = true;
        occupiedPosition["40,-26"] = true;
        occupiedPosition["40,-25"] = true;
        occupiedPosition["40,-24"] = true;
        occupiedPosition["40,-23"] = true;
        occupiedPosition["40,-22"] = true;
        occupiedPosition["40,-20"] = true;
        occupiedPosition["40,-19"] = true;
        occupiedPosition["40,-7"] = true;
        occupiedPosition["40,-6"] = true;
        occupiedPosition["40,-2"] = true;
        occupiedPosition["40,-1"] = true;
        occupiedPosition["40,0"] = true;
        occupiedPosition["40,1"] = true;
        occupiedPosition["40,2"] = true;
        occupiedPosition["40,3"] = true;
        occupiedPosition["40,4"] = true;
        occupiedPosition["40,7"] = true;
        occupiedPosition["40,8"] = true;
        occupiedPosition["40,14"] = true;
        occupiedPosition["40,15"] = true;
        occupiedPosition["40,16"] = true;
        occupiedPosition["40,17"] = true;
        occupiedPosition["40,18"] = true;
        occupiedPosition["40,27"] = true;
        occupiedPosition["40,28"] = true;
        occupiedPosition["40,29"] = true;
        occupiedPosition["40,30"] = true;
        occupiedPosition["40,31"] = true;
        occupiedPosition["40,32"] = true;
        occupiedPosition["40,33"] = true;
        occupiedPosition["40,34"] = true;
        occupiedPosition["40,38"] = true;
        occupiedPosition["40,39"] = true;
        occupiedPosition["40,40"] = true;
        occupiedPosition["40,41"] = true;
        occupiedPosition["40,42"] = true;
        occupiedPosition["40,43"] = true;
        occupiedPosition["40,44"] = true;
        occupiedPosition["40,45"] = true;
        occupiedPosition["40,46"] = true;
        occupiedPosition["40,47"] = true;
        occupiedPosition["40,48"] = true;
        occupiedPosition["40,49"] = true;
        occupiedPosition["40,50"] = true;
        occupiedPosition["40,51"] = true;
        occupiedPosition["40,54"] = true;
        occupiedPosition["40,55"] = true;
        occupiedPosition["41,-56"] = true;
        occupiedPosition["41,-53"] = true;
        occupiedPosition["41,-52"] = true;
        occupiedPosition["41,-51"] = true;
        occupiedPosition["41,-50"] = true;
        occupiedPosition["41,-49"] = true;
        occupiedPosition["41,-48"] = true;
        occupiedPosition["41,-47"] = true;
        occupiedPosition["41,-46"] = true;
        occupiedPosition["41,-45"] = true;
        occupiedPosition["41,-44"] = true;
        occupiedPosition["41,-43"] = true;
        occupiedPosition["41,-42"] = true;
        occupiedPosition["41,-39"] = true;
        occupiedPosition["41,-38"] = true;
        occupiedPosition["41,-37"] = true;
        occupiedPosition["41,-36"] = true;
        occupiedPosition["41,-35"] = true;
        occupiedPosition["41,-34"] = true;
        occupiedPosition["41,-33"] = true;
        occupiedPosition["41,-32"] = true;
        occupiedPosition["41,-31"] = true;
        occupiedPosition["41,-30"] = true;
        occupiedPosition["41,-28"] = true;
        occupiedPosition["41,-27"] = true;
        occupiedPosition["41,-26"] = true;
        occupiedPosition["41,-25"] = true;
        occupiedPosition["41,-24"] = true;
        occupiedPosition["41,-23"] = true;
        occupiedPosition["41,-22"] = true;
        occupiedPosition["41,-20"] = true;
        occupiedPosition["41,-19"] = true;
        occupiedPosition["41,-8"] = true;
        occupiedPosition["41,-7"] = true;
        occupiedPosition["41,-6"] = true;
        occupiedPosition["41,-5"] = true;
        occupiedPosition["41,-4"] = true;
        occupiedPosition["41,-3"] = true;
        occupiedPosition["41,-2"] = true;
        occupiedPosition["41,-1"] = true;
        occupiedPosition["41,0"] = true;
        occupiedPosition["41,1"] = true;
        occupiedPosition["41,2"] = true;
        occupiedPosition["41,3"] = true;
        occupiedPosition["41,7"] = true;
        occupiedPosition["41,8"] = true;
        occupiedPosition["41,14"] = true;
        occupiedPosition["41,15"] = true;
        occupiedPosition["41,16"] = true;
        occupiedPosition["41,17"] = true;
        occupiedPosition["41,18"] = true;
        occupiedPosition["41,27"] = true;
        occupiedPosition["41,28"] = true;
        occupiedPosition["41,29"] = true;
        occupiedPosition["41,30"] = true;
        occupiedPosition["41,31"] = true;
        occupiedPosition["41,32"] = true;
        occupiedPosition["41,33"] = true;
        occupiedPosition["41,34"] = true;
        occupiedPosition["41,37"] = true;
        occupiedPosition["41,38"] = true;
        occupiedPosition["41,39"] = true;
        occupiedPosition["41,40"] = true;
        occupiedPosition["41,41"] = true;
        occupiedPosition["41,42"] = true;
        occupiedPosition["41,54"] = true;
        occupiedPosition["41,55"] = true;
        occupiedPosition["41,60"] = true;
        occupiedPosition["41,61"] = true;
        occupiedPosition["42,-56"] = true;
        occupiedPosition["42,-53"] = true;
        occupiedPosition["42,-52"] = true;
        occupiedPosition["42,-51"] = true;
        occupiedPosition["42,-50"] = true;
        occupiedPosition["42,-49"] = true;
        occupiedPosition["42,-48"] = true;
        occupiedPosition["42,-47"] = true;
        occupiedPosition["42,-46"] = true;
        occupiedPosition["42,-45"] = true;
        occupiedPosition["42,-44"] = true;
        occupiedPosition["42,-43"] = true;
        occupiedPosition["42,-42"] = true;
        occupiedPosition["42,-39"] = true;
        occupiedPosition["42,-38"] = true;
        occupiedPosition["42,-37"] = true;
        occupiedPosition["42,-36"] = true;
        occupiedPosition["42,-35"] = true;
        occupiedPosition["42,-34"] = true;
        occupiedPosition["42,-33"] = true;
        occupiedPosition["42,-32"] = true;
        occupiedPosition["42,-31"] = true;
        occupiedPosition["42,-28"] = true;
        occupiedPosition["42,-27"] = true;
        occupiedPosition["42,-26"] = true;
        occupiedPosition["42,-25"] = true;
        occupiedPosition["42,-24"] = true;
        occupiedPosition["42,-23"] = true;
        occupiedPosition["42,-22"] = true;
        occupiedPosition["42,-20"] = true;
        occupiedPosition["42,-19"] = true;
        occupiedPosition["42,-8"] = true;
        occupiedPosition["42,-7"] = true;
        occupiedPosition["42,-6"] = true;
        occupiedPosition["42,-5"] = true;
        occupiedPosition["42,-4"] = true;
        occupiedPosition["42,-3"] = true;
        occupiedPosition["42,-2"] = true;
        occupiedPosition["42,-1"] = true;
        occupiedPosition["42,0"] = true;
        occupiedPosition["42,1"] = true;
        occupiedPosition["42,2"] = true;
        occupiedPosition["42,3"] = true;
        occupiedPosition["42,7"] = true;
        occupiedPosition["42,8"] = true;
        occupiedPosition["42,14"] = true;
        occupiedPosition["42,15"] = true;
        occupiedPosition["42,27"] = true;
        occupiedPosition["42,28"] = true;
        occupiedPosition["42,29"] = true;
        occupiedPosition["42,30"] = true;
        occupiedPosition["42,31"] = true;
        occupiedPosition["42,32"] = true;
        occupiedPosition["42,33"] = true;
        occupiedPosition["42,34"] = true;
        occupiedPosition["42,37"] = true;
        occupiedPosition["42,38"] = true;
        occupiedPosition["42,39"] = true;
        occupiedPosition["42,40"] = true;
        occupiedPosition["42,41"] = true;
        occupiedPosition["42,42"] = true;
        occupiedPosition["42,54"] = true;
        occupiedPosition["42,55"] = true;
        occupiedPosition["42,60"] = true;
        occupiedPosition["42,61"] = true;
        occupiedPosition["42,64"] = true;
        occupiedPosition["43,-56"] = true;
        occupiedPosition["43,-53"] = true;
        occupiedPosition["43,-52"] = true;
        occupiedPosition["43,-43"] = true;
        occupiedPosition["43,-42"] = true;
        occupiedPosition["43,-39"] = true;
        occupiedPosition["43,-38"] = true;
        occupiedPosition["43,-32"] = true;
        occupiedPosition["43,-31"] = true;
        occupiedPosition["43,-28"] = true;
        occupiedPosition["43,-27"] = true;
        occupiedPosition["43,-26"] = true;
        occupiedPosition["43,-25"] = true;
        occupiedPosition["43,-24"] = true;
        occupiedPosition["43,-23"] = true;
        occupiedPosition["43,-22"] = true;
        occupiedPosition["43,-20"] = true;
        occupiedPosition["43,-19"] = true;
        occupiedPosition["43,-8"] = true;
        occupiedPosition["43,-7"] = true;
        occupiedPosition["43,-6"] = true;
        occupiedPosition["43,-4"] = true;
        occupiedPosition["43,-3"] = true;
        occupiedPosition["43,-2"] = true;
        occupiedPosition["43,-1"] = true;
        occupiedPosition["43,0"] = true;
        occupiedPosition["43,1"] = true;
        occupiedPosition["43,2"] = true;
        occupiedPosition["43,3"] = true;
        occupiedPosition["43,7"] = true;
        occupiedPosition["43,8"] = true;
        occupiedPosition["43,14"] = true;
        occupiedPosition["43,15"] = true;
        occupiedPosition["43,27"] = true;
        occupiedPosition["43,28"] = true;
        occupiedPosition["43,29"] = true;
        occupiedPosition["43,30"] = true;
        occupiedPosition["43,31"] = true;
        occupiedPosition["43,32"] = true;
        occupiedPosition["43,37"] = true;
        occupiedPosition["43,38"] = true;
        occupiedPosition["43,39"] = true;
        occupiedPosition["43,41"] = true;
        occupiedPosition["43,42"] = true;
        occupiedPosition["43,54"] = true;
        occupiedPosition["43,55"] = true;
        occupiedPosition["43,60"] = true;
        occupiedPosition["43,61"] = true;
        occupiedPosition["43,64"] = true;
        occupiedPosition["44,-56"] = true;
        occupiedPosition["44,-53"] = true;
        occupiedPosition["44,-52"] = true;
        occupiedPosition["44,-43"] = true;
        occupiedPosition["44,-42"] = true;
        occupiedPosition["44,-39"] = true;
        occupiedPosition["44,-38"] = true;
        occupiedPosition["44,-32"] = true;
        occupiedPosition["44,-31"] = true;
        occupiedPosition["44,-28"] = true;
        occupiedPosition["44,-27"] = true;
        occupiedPosition["44,-26"] = true;
        occupiedPosition["44,-25"] = true;
        occupiedPosition["44,-20"] = true;
        occupiedPosition["44,-19"] = true;
        occupiedPosition["44,-8"] = true;
        occupiedPosition["44,-7"] = true;
        occupiedPosition["44,-6"] = true;
        occupiedPosition["44,-4"] = true;
        occupiedPosition["44,-3"] = true;
        occupiedPosition["44,-2"] = true;
        occupiedPosition["44,-1"] = true;
        occupiedPosition["44,0"] = true;
        occupiedPosition["44,1"] = true;
        occupiedPosition["44,2"] = true;
        occupiedPosition["44,3"] = true;
        occupiedPosition["44,7"] = true;
        occupiedPosition["44,8"] = true;
        occupiedPosition["44,9"] = true;
        occupiedPosition["44,10"] = true;
        occupiedPosition["44,11"] = true;
        occupiedPosition["44,12"] = true;
        occupiedPosition["44,13"] = true;
        occupiedPosition["44,14"] = true;
        occupiedPosition["44,15"] = true;
        occupiedPosition["44,41"] = true;
        occupiedPosition["44,42"] = true;
        occupiedPosition["44,54"] = true;
        occupiedPosition["44,55"] = true;
        occupiedPosition["44,64"] = true;
        occupiedPosition["45,-56"] = true;
        occupiedPosition["45,-53"] = true;
        occupiedPosition["45,-52"] = true;
        occupiedPosition["45,-46"] = true;
        occupiedPosition["45,-45"] = true;
        occupiedPosition["45,-44"] = true;
        occupiedPosition["45,-43"] = true;
        occupiedPosition["45,-42"] = true;
        occupiedPosition["45,-39"] = true;
        occupiedPosition["45,-38"] = true;
        occupiedPosition["45,-32"] = true;
        occupiedPosition["45,-31"] = true;
        occupiedPosition["45,-27"] = true;
        occupiedPosition["45,-26"] = true;
        occupiedPosition["45,-25"] = true;
        occupiedPosition["45,-20"] = true;
        occupiedPosition["45,-19"] = true;
        occupiedPosition["45,-8"] = true;
        occupiedPosition["45,-7"] = true;
        occupiedPosition["45,-6"] = true;
        occupiedPosition["45,-5"] = true;
        occupiedPosition["45,-4"] = true;
        occupiedPosition["45,-3"] = true;
        occupiedPosition["45,-2"] = true;
        occupiedPosition["45,-1"] = true;
        occupiedPosition["45,0"] = true;
        occupiedPosition["45,1"] = true;
        occupiedPosition["45,2"] = true;
        occupiedPosition["45,3"] = true;
        occupiedPosition["45,7"] = true;
        occupiedPosition["45,8"] = true;
        occupiedPosition["45,9"] = true;
        occupiedPosition["45,10"] = true;
        occupiedPosition["45,11"] = true;
        occupiedPosition["45,12"] = true;
        occupiedPosition["45,13"] = true;
        occupiedPosition["45,14"] = true;
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        occupiedPosition["45,42"] = true;
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        occupiedPosition["45,55"] = true;
        occupiedPosition["45,64"] = true;
        occupiedPosition["46,-56"] = true;
        occupiedPosition["46,-53"] = true;
        occupiedPosition["46,-52"] = true;
        occupiedPosition["46,-46"] = true;
        occupiedPosition["46,-45"] = true;
        occupiedPosition["46,-44"] = true;
        occupiedPosition["46,-43"] = true;
        occupiedPosition["46,-42"] = true;
        occupiedPosition["46,-39"] = true;
        occupiedPosition["46,-38"] = true;
        occupiedPosition["46,-32"] = true;
        occupiedPosition["46,-31"] = true;
        occupiedPosition["46,-20"] = true;
        occupiedPosition["46,-19"] = true;
        occupiedPosition["46,-7"] = true;
        occupiedPosition["46,-6"] = true;
        occupiedPosition["46,-5"] = true;
        occupiedPosition["46,-4"] = true;
        occupiedPosition["46,-3"] = true;
        occupiedPosition["46,-2"] = true;
        occupiedPosition["46,-1"] = true;
        occupiedPosition["46,0"] = true;
        occupiedPosition["46,1"] = true;
        occupiedPosition["46,2"] = true;
        occupiedPosition["46,3"] = true;
        occupiedPosition["46,11"] = true;
        occupiedPosition["46,12"] = true;
        occupiedPosition["46,13"] = true;
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        occupiedPosition["46,42"] = true;
        occupiedPosition["46,43"] = true;
        occupiedPosition["46,44"] = true;
        occupiedPosition["46,45"] = true;
        occupiedPosition["46,46"] = true;
        occupiedPosition["46,47"] = true;
        occupiedPosition["46,48"] = true;
        occupiedPosition["46,49"] = true;
        occupiedPosition["46,50"] = true;
        occupiedPosition["46,51"] = true;
        occupiedPosition["46,52"] = true;
        occupiedPosition["46,53"] = true;
        occupiedPosition["46,54"] = true;
        occupiedPosition["46,55"] = true;
        occupiedPosition["47,-56"] = true;
        occupiedPosition["47,-53"] = true;
        occupiedPosition["47,-52"] = true;
        occupiedPosition["47,-46"] = true;
        occupiedPosition["47,-45"] = true;
        occupiedPosition["47,-39"] = true;
        occupiedPosition["47,-38"] = true;
        occupiedPosition["47,-32"] = true;
        occupiedPosition["47,-31"] = true;
        occupiedPosition["47,-20"] = true;
        occupiedPosition["47,-19"] = true;
        occupiedPosition["47,-7"] = true;
        occupiedPosition["47,-6"] = true;
        occupiedPosition["47,-2"] = true;
        occupiedPosition["47,-1"] = true;
        occupiedPosition["47,0"] = true;
        occupiedPosition["47,1"] = true;
        occupiedPosition["47,2"] = true;
        occupiedPosition["47,3"] = true;
        occupiedPosition["47,11"] = true;
        occupiedPosition["47,12"] = true;
        occupiedPosition["47,13"] = true;
        occupiedPosition["47,41"] = true;
        occupiedPosition["47,42"] = true;
        occupiedPosition["47,43"] = true;
        occupiedPosition["47,44"] = true;
        occupiedPosition["47,45"] = true;
        occupiedPosition["47,46"] = true;
        occupiedPosition["47,47"] = true;
        occupiedPosition["47,48"] = true;
        occupiedPosition["47,49"] = true;
        occupiedPosition["47,50"] = true;
        occupiedPosition["47,51"] = true;
        occupiedPosition["47,52"] = true;
        occupiedPosition["47,53"] = true;
        occupiedPosition["47,54"] = true;
        occupiedPosition["47,55"] = true;
        occupiedPosition["47,64"] = true;
        occupiedPosition["48,-56"] = true;
        occupiedPosition["48,-53"] = true;
        occupiedPosition["48,-52"] = true;
        occupiedPosition["48,-46"] = true;
        occupiedPosition["48,-45"] = true;
        occupiedPosition["48,-39"] = true;
        occupiedPosition["48,-38"] = true;
        occupiedPosition["48,-32"] = true;
        occupiedPosition["48,-31"] = true;
        occupiedPosition["48,-20"] = true;
        occupiedPosition["48,-19"] = true;
        occupiedPosition["48,-7"] = true;
        occupiedPosition["48,-6"] = true;
        occupiedPosition["48,-2"] = true;
        occupiedPosition["48,-1"] = true;
        occupiedPosition["48,0"] = true;
        occupiedPosition["48,1"] = true;
        occupiedPosition["48,2"] = true;
        occupiedPosition["48,3"] = true;
        occupiedPosition["48,7"] = true;
        occupiedPosition["48,8"] = true;
        occupiedPosition["48,9"] = true;
        occupiedPosition["48,10"] = true;
        occupiedPosition["48,11"] = true;
        occupiedPosition["48,12"] = true;
        occupiedPosition["48,13"] = true;
        occupiedPosition["48,14"] = true;
        occupiedPosition["48,15"] = true;
        occupiedPosition["48,22"] = true;
        occupiedPosition["48,23"] = true;
        occupiedPosition["48,24"] = true;
        occupiedPosition["48,64"] = true;
        occupiedPosition["49,-56"] = true;
        occupiedPosition["49,-53"] = true;
        occupiedPosition["49,-52"] = true;
        occupiedPosition["49,-46"] = true;
        occupiedPosition["49,-45"] = true;
        occupiedPosition["49,-44"] = true;
        occupiedPosition["49,-43"] = true;
        occupiedPosition["49,-39"] = true;
        occupiedPosition["49,-38"] = true;
        occupiedPosition["49,-32"] = true;
        occupiedPosition["49,-31"] = true;
        occupiedPosition["49,-20"] = true;
        occupiedPosition["49,-19"] = true;
        occupiedPosition["49,-7"] = true;
        occupiedPosition["49,-6"] = true;
        occupiedPosition["49,-2"] = true;
        occupiedPosition["49,-1"] = true;
        occupiedPosition["49,0"] = true;
        occupiedPosition["49,1"] = true;
        occupiedPosition["49,2"] = true;
        occupiedPosition["49,3"] = true;
        occupiedPosition["49,4"] = true;
        occupiedPosition["49,5"] = true;
        occupiedPosition["49,6"] = true;
        occupiedPosition["49,7"] = true;
        occupiedPosition["49,8"] = true;
        occupiedPosition["49,9"] = true;
        occupiedPosition["49,10"] = true;
        occupiedPosition["49,11"] = true;
        occupiedPosition["49,12"] = true;
        occupiedPosition["49,13"] = true;
        occupiedPosition["49,14"] = true;
        occupiedPosition["49,15"] = true;
        occupiedPosition["49,22"] = true;
        occupiedPosition["49,23"] = true;
        occupiedPosition["49,24"] = true;
        occupiedPosition["49,25"] = true;
        occupiedPosition["50,-56"] = true;
        occupiedPosition["50,-53"] = true;
        occupiedPosition["50,-52"] = true;
        occupiedPosition["50,-46"] = true;
        occupiedPosition["50,-45"] = true;
        occupiedPosition["50,-44"] = true;
        occupiedPosition["50,-43"] = true;
        occupiedPosition["50,-39"] = true;
        occupiedPosition["50,-38"] = true;
        occupiedPosition["50,-32"] = true;
        occupiedPosition["50,-31"] = true;
        occupiedPosition["50,-30"] = true;
        occupiedPosition["50,-29"] = true;
        occupiedPosition["50,-28"] = true;
        occupiedPosition["50,-20"] = true;
        occupiedPosition["50,-19"] = true;
        occupiedPosition["50,-7"] = true;
        occupiedPosition["50,-6"] = true;
        occupiedPosition["50,-2"] = true;
        occupiedPosition["50,-1"] = true;
        occupiedPosition["50,0"] = true;
        occupiedPosition["50,1"] = true;
        occupiedPosition["50,2"] = true;
        occupiedPosition["50,3"] = true;
        occupiedPosition["50,4"] = true;
        occupiedPosition["50,5"] = true;
        occupiedPosition["50,6"] = true;
        occupiedPosition["50,7"] = true;
        occupiedPosition["50,8"] = true;
        occupiedPosition["50,14"] = true;
        occupiedPosition["50,15"] = true;
        occupiedPosition["50,22"] = true;
        occupiedPosition["50,23"] = true;
        occupiedPosition["50,24"] = true;
        occupiedPosition["50,41"] = true;
        occupiedPosition["50,42"] = true;
        occupiedPosition["50,43"] = true;
        occupiedPosition["50,44"] = true;
        occupiedPosition["50,45"] = true;
        occupiedPosition["50,46"] = true;
        occupiedPosition["50,54"] = true;
        occupiedPosition["50,55"] = true;
        occupiedPosition["50,64"] = true;
        occupiedPosition["51,-56"] = true;
        occupiedPosition["51,-53"] = true;
        occupiedPosition["51,-52"] = true;
        occupiedPosition["51,-46"] = true;
        occupiedPosition["51,-45"] = true;
        occupiedPosition["51,-39"] = true;
        occupiedPosition["51,-38"] = true;
        occupiedPosition["51,-32"] = true;
        occupiedPosition["51,-31"] = true;
        occupiedPosition["51,-30"] = true;
        occupiedPosition["51,-29"] = true;
        occupiedPosition["51,-28"] = true;
        occupiedPosition["51,-20"] = true;
        occupiedPosition["51,-19"] = true;
        occupiedPosition["51,-7"] = true;
        occupiedPosition["51,-6"] = true;
        occupiedPosition["51,-2"] = true;
        occupiedPosition["51,-1"] = true;
        occupiedPosition["51,0"] = true;
        occupiedPosition["51,1"] = true;
        occupiedPosition["51,2"] = true;
        occupiedPosition["51,3"] = true;
        occupiedPosition["51,4"] = true;
        occupiedPosition["51,5"] = true;
        occupiedPosition["51,6"] = true;
        occupiedPosition["51,7"] = true;
        occupiedPosition["51,8"] = true;
        occupiedPosition["51,14"] = true;
        occupiedPosition["51,15"] = true;
        occupiedPosition["51,41"] = true;
        occupiedPosition["51,42"] = true;
        occupiedPosition["51,43"] = true;
        occupiedPosition["51,44"] = true;
        occupiedPosition["51,45"] = true;
        occupiedPosition["51,46"] = true;
        occupiedPosition["51,49"] = true;
        occupiedPosition["51,50"] = true;
        occupiedPosition["51,52"] = true;
        occupiedPosition["51,53"] = true;
        occupiedPosition["51,54"] = true;
        occupiedPosition["51,55"] = true;
        occupiedPosition["52,-56"] = true;
        occupiedPosition["52,-53"] = true;
        occupiedPosition["52,-52"] = true;
        occupiedPosition["52,-46"] = true;
        occupiedPosition["52,-45"] = true;
        occupiedPosition["52,-44"] = true;
        occupiedPosition["52,-43"] = true;
        occupiedPosition["52,-39"] = true;
        occupiedPosition["52,-38"] = true;
        occupiedPosition["52,-29"] = true;
        occupiedPosition["52,-28"] = true;
        occupiedPosition["52,-20"] = true;
        occupiedPosition["52,-19"] = true;
        occupiedPosition["52,-7"] = true;
        occupiedPosition["52,-6"] = true;
        occupiedPosition["52,-2"] = true;
        occupiedPosition["52,-1"] = true;
        occupiedPosition["52,0"] = true;
        occupiedPosition["52,1"] = true;
        occupiedPosition["52,2"] = true;
        occupiedPosition["52,3"] = true;
        occupiedPosition["52,7"] = true;
        occupiedPosition["52,8"] = true;
        occupiedPosition["52,14"] = true;
        occupiedPosition["52,15"] = true;
        occupiedPosition["52,16"] = true;
        occupiedPosition["52,17"] = true;
        occupiedPosition["52,18"] = true;
        occupiedPosition["52,41"] = true;
        occupiedPosition["52,42"] = true;
        occupiedPosition["52,45"] = true;
        occupiedPosition["52,46"] = true;
        occupiedPosition["52,49"] = true;
        occupiedPosition["52,50"] = true;
        occupiedPosition["52,52"] = true;
        occupiedPosition["52,53"] = true;
        occupiedPosition["52,54"] = true;
        occupiedPosition["52,55"] = true;
        occupiedPosition["52,64"] = true;
        occupiedPosition["53,-56"] = true;
        occupiedPosition["53,-53"] = true;
        occupiedPosition["53,-52"] = true;
        occupiedPosition["53,-51"] = true;
        occupiedPosition["53,-50"] = true;
        occupiedPosition["53,-49"] = true;
        occupiedPosition["53,-48"] = true;
        occupiedPosition["53,-47"] = true;
        occupiedPosition["53,-46"] = true;
        occupiedPosition["53,-45"] = true;
        occupiedPosition["53,-44"] = true;
        occupiedPosition["53,-43"] = true;
        occupiedPosition["53,-39"] = true;
        occupiedPosition["53,-38"] = true;
        occupiedPosition["53,-29"] = true;
        occupiedPosition["53,-28"] = true;
        occupiedPosition["53,-20"] = true;
        occupiedPosition["53,-19"] = true;
        occupiedPosition["53,-7"] = true;
        occupiedPosition["53,-6"] = true;
        occupiedPosition["53,-2"] = true;
        occupiedPosition["53,-1"] = true;
        occupiedPosition["53,0"] = true;
        occupiedPosition["53,1"] = true;
        occupiedPosition["53,2"] = true;
        occupiedPosition["53,3"] = true;
        occupiedPosition["53,7"] = true;
        occupiedPosition["53,8"] = true;
        occupiedPosition["53,14"] = true;
        occupiedPosition["53,15"] = true;
        occupiedPosition["53,16"] = true;
        occupiedPosition["53,17"] = true;
        occupiedPosition["53,18"] = true;
        occupiedPosition["53,41"] = true;
        occupiedPosition["53,42"] = true;
        occupiedPosition["53,45"] = true;
        occupiedPosition["53,46"] = true;
        occupiedPosition["53,47"] = true;
        occupiedPosition["53,48"] = true;
        occupiedPosition["53,49"] = true;
        occupiedPosition["53,50"] = true;
        occupiedPosition["53,51"] = true;
        occupiedPosition["53,52"] = true;
        occupiedPosition["53,53"] = true;
        occupiedPosition["53,54"] = true;
        occupiedPosition["53,64"] = true;
        occupiedPosition["54,-56"] = true;
        occupiedPosition["54,-53"] = true;
        occupiedPosition["54,-52"] = true;
        occupiedPosition["54,-51"] = true;
        occupiedPosition["54,-50"] = true;
        occupiedPosition["54,-49"] = true;
        occupiedPosition["54,-48"] = true;
        occupiedPosition["54,-47"] = true;
        occupiedPosition["54,-46"] = true;
        occupiedPosition["54,-45"] = true;
        occupiedPosition["54,-44"] = true;
        occupiedPosition["54,-43"] = true;
        occupiedPosition["54,-42"] = true;
        occupiedPosition["54,-39"] = true;
        occupiedPosition["54,-38"] = true;
        occupiedPosition["54,-37"] = true;
        occupiedPosition["54,-36"] = true;
        occupiedPosition["54,-35"] = true;
        occupiedPosition["54,-34"] = true;
        occupiedPosition["54,-33"] = true;
        occupiedPosition["54,-32"] = true;
        occupiedPosition["54,-31"] = true;
        occupiedPosition["54,-30"] = true;
        occupiedPosition["54,-29"] = true;
        occupiedPosition["54,-28"] = true;
        occupiedPosition["54,-20"] = true;
        occupiedPosition["54,-19"] = true;
        occupiedPosition["54,-7"] = true;
        occupiedPosition["54,-6"] = true;
        occupiedPosition["54,-2"] = true;
        occupiedPosition["54,-1"] = true;
        occupiedPosition["54,0"] = true;
        occupiedPosition["54,1"] = true;
        occupiedPosition["54,2"] = true;
        occupiedPosition["54,3"] = true;
        occupiedPosition["54,7"] = true;
        occupiedPosition["54,8"] = true;
        occupiedPosition["54,14"] = true;
        occupiedPosition["54,15"] = true;
        occupiedPosition["54,17"] = true;
        occupiedPosition["54,18"] = true;
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        occupiedPosition["54,42"] = true;
        occupiedPosition["54,45"] = true;
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        occupiedPosition["54,47"] = true;
        occupiedPosition["54,48"] = true;
        occupiedPosition["54,49"] = true;
        occupiedPosition["54,50"] = true;
        occupiedPosition["54,51"] = true;
        occupiedPosition["54,52"] = true;
        occupiedPosition["54,53"] = true;
        occupiedPosition["54,54"] = true;
        occupiedPosition["55,-56"] = true;
        occupiedPosition["55,-44"] = true;
        occupiedPosition["55,-43"] = true;
        occupiedPosition["55,-42"] = true;
        occupiedPosition["55,-39"] = true;
        occupiedPosition["55,-38"] = true;
        occupiedPosition["55,-37"] = true;
        occupiedPosition["55,-36"] = true;
        occupiedPosition["55,-35"] = true;
        occupiedPosition["55,-34"] = true;
        occupiedPosition["55,-33"] = true;
        occupiedPosition["55,-32"] = true;
        occupiedPosition["55,-31"] = true;
        occupiedPosition["55,-30"] = true;
        occupiedPosition["55,-29"] = true;
        occupiedPosition["55,-28"] = true;
        occupiedPosition["55,-20"] = true;
        occupiedPosition["55,-19"] = true;
        occupiedPosition["55,-18"] = true;
        occupiedPosition["55,-17"] = true;
        occupiedPosition["55,-16"] = true;
        occupiedPosition["55,-15"] = true;
        occupiedPosition["55,-14"] = true;
        occupiedPosition["55,-13"] = true;
        occupiedPosition["55,-12"] = true;
        occupiedPosition["55,-11"] = true;
        occupiedPosition["55,-10"] = true;
        occupiedPosition["55,-9"] = true;
        occupiedPosition["55,-8"] = true;
        occupiedPosition["55,-7"] = true;
        occupiedPosition["55,-6"] = true;
        occupiedPosition["55,-2"] = true;
        occupiedPosition["55,-1"] = true;
        occupiedPosition["55,0"] = true;
        occupiedPosition["55,1"] = true;
        occupiedPosition["55,2"] = true;
        occupiedPosition["55,3"] = true;
        occupiedPosition["55,7"] = true;
        occupiedPosition["55,8"] = true;
        occupiedPosition["55,14"] = true;
        occupiedPosition["55,15"] = true;
        occupiedPosition["55,17"] = true;
        occupiedPosition["55,18"] = true;
        occupiedPosition["55,41"] = true;
        occupiedPosition["55,42"] = true;
        occupiedPosition["55,53"] = true;
        occupiedPosition["55,54"] = true;
        occupiedPosition["56,-56"] = true;
        occupiedPosition["56,-20"] = true;
        occupiedPosition["56,-19"] = true;
        occupiedPosition["56,-18"] = true;
        occupiedPosition["56,-17"] = true;
        occupiedPosition["56,-16"] = true;
        occupiedPosition["56,-15"] = true;
        occupiedPosition["56,-14"] = true;
        occupiedPosition["56,-13"] = true;
        occupiedPosition["56,-12"] = true;
        occupiedPosition["56,-11"] = true;
        occupiedPosition["56,-10"] = true;
        occupiedPosition["56,-9"] = true;
        occupiedPosition["56,-8"] = true;
        occupiedPosition["56,-7"] = true;
        occupiedPosition["56,-6"] = true;
        occupiedPosition["56,-2"] = true;
        occupiedPosition["56,-1"] = true;
        occupiedPosition["56,0"] = true;
        occupiedPosition["56,1"] = true;
        occupiedPosition["56,2"] = true;
        occupiedPosition["56,3"] = true;
        occupiedPosition["56,7"] = true;
        occupiedPosition["56,8"] = true;
        occupiedPosition["56,14"] = true;
        occupiedPosition["56,15"] = true;
        occupiedPosition["56,16"] = true;
        occupiedPosition["56,17"] = true;
        occupiedPosition["56,18"] = true;
        occupiedPosition["56,41"] = true;
        occupiedPosition["56,42"] = true;
        occupiedPosition["56,53"] = true;
        occupiedPosition["56,54"] = true;
        occupiedPosition["57,-56"] = true;
        occupiedPosition["57,-53"] = true;
        occupiedPosition["57,-52"] = true;
        occupiedPosition["57,-2"] = true;
        occupiedPosition["57,-1"] = true;
        occupiedPosition["57,0"] = true;
        occupiedPosition["57,1"] = true;
        occupiedPosition["57,2"] = true;
        occupiedPosition["57,3"] = true;
        occupiedPosition["57,7"] = true;
        occupiedPosition["57,8"] = true;
        occupiedPosition["57,14"] = true;
        occupiedPosition["57,15"] = true;
        occupiedPosition["57,16"] = true;
        occupiedPosition["57,17"] = true;
        occupiedPosition["57,18"] = true;
        occupiedPosition["57,41"] = true;
        occupiedPosition["57,42"] = true;
        occupiedPosition["57,53"] = true;
        occupiedPosition["57,54"] = true;
        occupiedPosition["58,-56"] = true;
        occupiedPosition["58,-54"] = true;
        occupiedPosition["58,-53"] = true;
        occupiedPosition["58,-52"] = true;
        occupiedPosition["58,-51"] = true;
        occupiedPosition["58,-2"] = true;
        occupiedPosition["58,-1"] = true;
        occupiedPosition["58,0"] = true;
        occupiedPosition["58,1"] = true;
        occupiedPosition["58,2"] = true;
        occupiedPosition["58,3"] = true;
        occupiedPosition["58,7"] = true;
        occupiedPosition["58,8"] = true;
        occupiedPosition["58,14"] = true;
        occupiedPosition["58,15"] = true;
        occupiedPosition["58,41"] = true;
        occupiedPosition["58,42"] = true;
        occupiedPosition["58,53"] = true;
        occupiedPosition["58,54"] = true;
        occupiedPosition["59,-56"] = true;
        occupiedPosition["59,-54"] = true;
        occupiedPosition["59,-53"] = true;
        occupiedPosition["59,-52"] = true;
        occupiedPosition["59,-51"] = true;
        occupiedPosition["59,-18"] = true;
        occupiedPosition["59,-2"] = true;
        occupiedPosition["59,-1"] = true;
        occupiedPosition["59,0"] = true;
        occupiedPosition["59,1"] = true;
        occupiedPosition["59,2"] = true;
        occupiedPosition["59,3"] = true;
        occupiedPosition["59,7"] = true;
        occupiedPosition["59,8"] = true;
        occupiedPosition["59,13"] = true;
        occupiedPosition["59,14"] = true;
        occupiedPosition["59,41"] = true;
        occupiedPosition["59,42"] = true;
        occupiedPosition["59,53"] = true;
        occupiedPosition["59,54"] = true;
        occupiedPosition["59,58"] = true;
        occupiedPosition["59,59"] = true;
        occupiedPosition["59,64"] = true;
        occupiedPosition["60,-56"] = true;
        occupiedPosition["60,-53"] = true;
        occupiedPosition["60,-52"] = true;
        occupiedPosition["60,-35"] = true;
        occupiedPosition["60,-34"] = true;
        occupiedPosition["60,-33"] = true;
        occupiedPosition["60,-29"] = true;
        occupiedPosition["60,-28"] = true;
        occupiedPosition["60,-20"] = true;
        occupiedPosition["60,-19"] = true;
        occupiedPosition["60,-18"] = true;
        occupiedPosition["60,-17"] = true;
        occupiedPosition["60,-2"] = true;
        occupiedPosition["60,-1"] = true;
        occupiedPosition["60,0"] = true;
        occupiedPosition["60,1"] = true;
        occupiedPosition["60,2"] = true;
        occupiedPosition["60,3"] = true;
        occupiedPosition["60,7"] = true;
        occupiedPosition["60,8"] = true;
        occupiedPosition["60,9"] = true;
        occupiedPosition["60,10"] = true;
        occupiedPosition["60,11"] = true;
        occupiedPosition["60,12"] = true;
        occupiedPosition["60,13"] = true;
        occupiedPosition["60,14"] = true;
        occupiedPosition["60,15"] = true;
        occupiedPosition["60,16"] = true;
        occupiedPosition["60,17"] = true;
        occupiedPosition["60,21"] = true;
        occupiedPosition["60,22"] = true;
        occupiedPosition["60,41"] = true;
        occupiedPosition["60,42"] = true;
        occupiedPosition["60,43"] = true;
        occupiedPosition["60,44"] = true;
        occupiedPosition["60,45"] = true;
        occupiedPosition["60,46"] = true;
        occupiedPosition["60,47"] = true;
        occupiedPosition["60,48"] = true;
        occupiedPosition["60,49"] = true;
        occupiedPosition["60,50"] = true;
        occupiedPosition["60,51"] = true;
        occupiedPosition["60,52"] = true;
        occupiedPosition["60,53"] = true;
        occupiedPosition["60,54"] = true;
        occupiedPosition["60,57"] = true;
        occupiedPosition["60,58"] = true;
        occupiedPosition["60,59"] = true;
        occupiedPosition["60,60"] = true;
        occupiedPosition["61,-56"] = true;
        occupiedPosition["61,-35"] = true;
        occupiedPosition["61,-34"] = true;
        occupiedPosition["61,-33"] = true;
        occupiedPosition["61,-30"] = true;
        occupiedPosition["61,-29"] = true;
        occupiedPosition["61,-28"] = true;
        occupiedPosition["61,-27"] = true;
        occupiedPosition["61,-20"] = true;
        occupiedPosition["61,-19"] = true;
        occupiedPosition["61,-18"] = true;
        occupiedPosition["61,-17"] = true;
        occupiedPosition["61,-6"] = true;
        occupiedPosition["61,-5"] = true;
        occupiedPosition["61,-4"] = true;
        occupiedPosition["61,-2"] = true;
        occupiedPosition["61,-1"] = true;
        occupiedPosition["61,0"] = true;
        occupiedPosition["61,1"] = true;
        occupiedPosition["61,2"] = true;
        occupiedPosition["61,3"] = true;
        occupiedPosition["61,7"] = true;
        occupiedPosition["61,8"] = true;
        occupiedPosition["61,9"] = true;
        occupiedPosition["61,10"] = true;
        occupiedPosition["61,11"] = true;
        occupiedPosition["61,12"] = true;
        occupiedPosition["61,13"] = true;
        occupiedPosition["61,14"] = true;
        occupiedPosition["61,15"] = true;
        occupiedPosition["61,16"] = true;
        occupiedPosition["61,17"] = true;
        occupiedPosition["61,20"] = true;
        occupiedPosition["61,21"] = true;
        occupiedPosition["61,22"] = true;
        occupiedPosition["61,23"] = true;
        occupiedPosition["61,41"] = true;
        occupiedPosition["61,42"] = true;
        occupiedPosition["61,43"] = true;
        occupiedPosition["61,44"] = true;
        occupiedPosition["61,45"] = true;
        occupiedPosition["61,46"] = true;
        occupiedPosition["61,47"] = true;
        occupiedPosition["61,48"] = true;
        occupiedPosition["61,49"] = true;
        occupiedPosition["61,50"] = true;
        occupiedPosition["61,51"] = true;
        occupiedPosition["61,52"] = true;
        occupiedPosition["61,53"] = true;
        occupiedPosition["61,54"] = true;
        occupiedPosition["61,57"] = true;
        occupiedPosition["61,58"] = true;
        occupiedPosition["61,59"] = true;
        occupiedPosition["61,60"] = true;
        occupiedPosition["61,64"] = true;
        occupiedPosition["62,-56"] = true;
        occupiedPosition["62,-1"] = true;
        occupiedPosition["62,0"] = true;
        occupiedPosition["62,1"] = true;
        occupiedPosition["62,2"] = true;
        occupiedPosition["62,15"] = true;
        occupiedPosition["62,16"] = true;
        occupiedPosition["62,17"] = true;
        occupiedPosition["62,20"] = true;
        occupiedPosition["62,21"] = true;
        occupiedPosition["62,22"] = true;
        occupiedPosition["62,23"] = true;
        occupiedPosition["62,26"] = true;
        occupiedPosition["62,27"] = true;
        occupiedPosition["62,39"] = true;
        occupiedPosition["62,58"] = true;
        occupiedPosition["62,59"] = true;
        occupiedPosition["62,64"] = true;
        occupiedPosition["63,-56"] = true;
        occupiedPosition["63,-1"] = true;
        occupiedPosition["63,0"] = true;
        occupiedPosition["63,1"] = true;
        occupiedPosition["63,21"] = true;
        occupiedPosition["63,22"] = true;
        occupiedPosition["63,26"] = true;
        occupiedPosition["63,27"] = true;
        occupiedPosition["63,28"] = true;
        occupiedPosition["63,39"] = true;
        occupiedPosition["63,40"] = true;
        occupiedPosition["64,-56"] = true;
        occupiedPosition["64,-54"] = true;
        occupiedPosition["64,-53"] = true;
        occupiedPosition["64,-51"] = true;
        occupiedPosition["64,-45"] = true;
        occupiedPosition["64,-44"] = true;
        occupiedPosition["64,-42"] = true;
        occupiedPosition["64,-40"] = true;
        occupiedPosition["64,-39"] = true;
        occupiedPosition["64,-37"] = true;
        occupiedPosition["64,-36"] = true;
        occupiedPosition["64,-22"] = true;
        occupiedPosition["64,-19"] = true;
        occupiedPosition["64,-17"] = true;
        occupiedPosition["64,-16"] = true;
        occupiedPosition["64,-14"] = true;
        occupiedPosition["64,-12"] = true;
        occupiedPosition["64,-11"] = true;
        occupiedPosition["64,-9"] = true;
        occupiedPosition["64,-8"] = true;
        occupiedPosition["64,-7"] = true;
        occupiedPosition["64,-6"] = true;
        occupiedPosition["64,-4"] = true;
        occupiedPosition["64,-3"] = true;
        occupiedPosition["64,-2"] = true;
        occupiedPosition["64,-1"] = true;
        occupiedPosition["64,0"] = true;
        occupiedPosition["64,1"] = true;
        occupiedPosition["64,2"] = true;
        occupiedPosition["64,3"] = true;
        occupiedPosition["64,4"] = true;
        occupiedPosition["64,5"] = true;
        occupiedPosition["64,6"] = true;
        occupiedPosition["64,7"] = true;
        occupiedPosition["64,8"] = true;
        occupiedPosition["64,9"] = true;
        occupiedPosition["64,10"] = true;
        occupiedPosition["64,11"] = true;
        occupiedPosition["64,12"] = true;
        occupiedPosition["64,13"] = true;
        occupiedPosition["64,14"] = true;
        occupiedPosition["64,15"] = true;
        occupiedPosition["64,16"] = true;
        occupiedPosition["64,17"] = true;
        occupiedPosition["64,18"] = true;
        occupiedPosition["64,19"] = true;
        occupiedPosition["64,20"] = true;
        occupiedPosition["64,21"] = true;
        occupiedPosition["64,22"] = true;
        occupiedPosition["64,26"] = true;
        occupiedPosition["64,27"] = true;
        occupiedPosition["64,37"] = true;
        occupiedPosition["64,38"] = true;
        occupiedPosition["64,39"] = true;
        occupiedPosition["64,40"] = true;
        occupiedPosition["64,41"] = true;
        occupiedPosition["64,42"] = true;
        occupiedPosition["64,43"] = true;
        occupiedPosition["64,44"] = true;
        occupiedPosition["64,45"] = true;
        occupiedPosition["64,46"] = true;
        occupiedPosition["64,47"] = true;
        occupiedPosition["64,48"] = true;
        occupiedPosition["64,49"] = true;
        occupiedPosition["64,50"] = true;
        occupiedPosition["64,51"] = true;
        occupiedPosition["64,52"] = true;
        occupiedPosition["64,53"] = true;
        occupiedPosition["64,54"] = true;
        occupiedPosition["64,55"] = true;
        occupiedPosition["64,56"] = true;
        occupiedPosition["64,57"] = true;
        occupiedPosition["64,58"] = true;
        occupiedPosition["64,59"] = true;
        occupiedPosition["64,60"] = true;
        occupiedPosition["64,61"] = true;
        occupiedPosition["64,62"] = true;
        occupiedPosition["64,63"] = true;
        occupiedPosition["64,64"] = true;
    }
}