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+..#..#.#.. +.....#...# +.#..#.##.. +#...#..#.# +#.#......# +.#..#..... +##.#...#.# + +Tile 2351: +..###...## +#....###.. +.#....#..# +.#...#.... +.#.......# +..#....##. +#..#.....# +#.......#. +##..#..#.# +...#..##.. + +Tile 2269: +.#####...# +#........# +#.......## +#.#....#.. +..##.....# +.#..#..#.# +##...##... +#......### +...#...... +#.#.###.#. + +Tile 2887: +.#.##.#.## +.#....#... +#.....#..# +#.##...#.# +#...#.#.## +##.##.#... +##.#.##..# +.#.##..#.. +......#..# +.#.#.##... + +Tile 3391: +.####....# +.#..#..### +....#...#. +...#..#.## +#....#..## +#...#..##. +#..####.#. +..####..## +..##.....# +...#.#..## + +Tile 3533: +.#....#..# +#......... +..#..#..## +.#.##.#..# +#...#..... +......##.. +...#.#.#.# +#.....##.. +.......... +##.##..#.. + +Tile 1637: +.#.#.#.##. +#.#.....## +.#....#... +##.......# +.##.###.## +##.#...... +..#.....#. +.###...#.# +........#. +#.##...#.# + +Tile 3323: +..#.#.#.#. +#.#.....#. +#.##..#.## +##.......# +#.#....#.# +.##......# +.#..#..#.. +..#..##..# +...##..... +##.##.##.# + +Tile 1559: +##.##.#..# +.....#.#.. +#.#.####.. +...#.#...# +##....#..# +#.##...#.. +.#..##.### +....#..#.. +.#.#.#.#.# +#....#..#. + +Tile 2039: +..#.###### +.#...#...# +###.#..... +##..###..# +.#...##... +..#..#...# +#.....#.#. +....#..... +.###.....# +..##.#.### + +Tile 3677: +####...... +.......#.. +#......... +........#. +.....###.# +#...#.###. +##........ +....##..## +.#....#... +.##..##.#. + +Tile 1973: +#.###..##. +#......... +#......### +#.#...#### +#.#..#.#.# +..#..#..#. +#..#.#.#.# +##.##..#.. +#.###...## +##.#.##.#. + +Tile 2309: +####..##.# +#..#..#..# +...#.#...# +#....###.# +##....#.#. +....##.... +......#... +##..#..... +#....#..#. +.##.#....# + +Tile 2237: +.##......# +#.#....##. +...###..#. +#.#....### +.....#...# +#.##.....# +#..#...#.. +.#...#..## +#.#....##. +....#.#.#. + +Tile 2663: +##..##.### +#..#..##.. +#...##...# +#.#.#..#.# +#..#...... +....#..#.# +...#...### +##........ +##....#.#. +.#...##.#. + +Tile 1571: +##.#.#...# +.##.##.### +........## +#......... +#.#...##.. +#.......#. +##..#####. +#..#...##. +##......#. +..#..##..# + +Tile 3011: +#.#.#...## +....##.#.# +#...##...# +#........# +.#....#... +......#... +#.#.#..#.. +..#####... +#.###..... +.......#.# + +Tile 3457: +##.##..#.# +###.##.... +.#.#...#.. +##.......# +.....#.##. +#.#.##.#.# +.###.##### +..#....... +.##.....## +....#.###. + +Tile 1619: +#..#...#.. +#.....#.#. +#..#..##.. +.....#.... +#.#...#... +.#..#....# +#....##.## +.....##.#. +......#### +#.#.#.##.. + +Tile 1663: +..#..###.# +#...#.#..# +#...#..... +###..##... +..#.#..... +.......... +#.#....##. +..#....### +#..#..#.#. +###.#.##.. diff --git a/Program.cs b/Program.cs index 2df1647..0165408 100644 --- a/Program.cs +++ b/Program.cs @@ -22,6 +22,7 @@ Q15.Go(); Q18.Go(); Q19.Go(); + Q20.Go(); Q21.Go(); Q22.Go(); Util.Log($"Total time={(System.DateTime.Now - start).TotalMilliseconds}ms"); diff --git a/Q20.cs b/Q20.cs new file mode 100644 index 0000000..cd7657e --- /dev/null +++ b/Q20.cs @@ -0,0 +1,345 @@ +using System; +using System.Collections.Generic; +using System.Diagnostics; +using System.IO; +using System.Linq; + +namespace _2020 +{ + class Q20 + { + static readonly List list = new List(); + const int TileSize = 10; + + [DebuggerDisplay("{ID}")] + private class Tile + { + public enum SideName { Top, TopReverse, Left, LeftReverse, Bottom, BottomReverse, Right, RightReverse } + public int ID { get; private set; } + public char[,] Data = new char[TileSize, TileSize]; + public bool IsPlaced { get; set; } + public IEnumerable Sides => Enum.GetValues(typeof(SideName)).Cast().Select(n => GetSide(n)); + + public Tile(int id, string[] lines) + { + ID = id; + for (int i = 0; i < lines.Length; i++) + { + for (int j = 0; j < lines[i].Length; j++) + { + Data[i, j] = lines[i][j]; + } + } + } + + public int GetSide(SideName name) + { + return name switch + { + SideName.Top => ParseNumber(new string(Enumerable.Range(0, TileSize).Select(r => Data[0, r]).ToArray())), + SideName.TopReverse => ParseNumber(new string(Enumerable.Range(0, TileSize).Select(r => Data[0, r]).Reverse().ToArray())), + SideName.Left => ParseNumber(new string(Enumerable.Range(0, TileSize).Select(r => Data[r, 0]).ToArray())), + SideName.LeftReverse => ParseNumber(new string(Enumerable.Range(0, TileSize).Select(r => Data[r, 0]).Reverse().ToArray())), + SideName.Bottom => ParseNumber(new string(Enumerable.Range(0, TileSize).Select(r => Data[TileSize - 1, r]).ToArray())), + SideName.BottomReverse => ParseNumber(new string(Enumerable.Range(0, TileSize).Select(r => Data[TileSize - 1, r]).Reverse().ToArray())), + SideName.Right => ParseNumber(new string(Enumerable.Range(0, TileSize).Select(r => Data[r, TileSize - 1]).ToArray())), + SideName.RightReverse => ParseNumber(new string(Enumerable.Range(0, TileSize).Select(r => Data[r, TileSize - 1]).Reverse().ToArray())), + _ => -1, + }; + } + + public void Rotate() + { + RotateSquareCW(ref Data); + } + + public void FlipHorizontally() + { + Data = FlipH(Data); + } + + public void FlipVertically() + { + Data = FlipV(Data); + } + + public int Matches(IEnumerable tiles) + { + return tiles.Count(t => t.ID != ID && t.Sides.Any(s => Sides.Contains(s))); + } + + private static int ParseNumber(string text) + { + return Convert.ToInt32(text.Replace('#', '1').Replace('.', '0'), 2); + } + } + + static void RotateSquareCW(ref char[,] source) + { + var n = source.GetLength(0); + for (int i = 0; i < n / 2; i++) + { + for (int j = i; j < n - i - 1; j++) + { + var temp = source[i, j]; + source[i, j] = source[n - 1 - j, i]; + source[n - 1 - j, i] = source[n - 1 - i, n - 1 - j]; + source[n - 1 - i, n - 1 - j] = source[j, n - 1 - i]; + source[j, n - 1 - i] = temp; + } + } + } + + static char[,] FlipH(char[,] source) + { + var numRows = source.GetLength(0); + var numCols = source.GetLength(1); + char[,] temp = new char[numRows, numCols]; + for (int row = 0; row < numRows; row++) + { + for (int col = 0; col < numCols; col++) + { + temp[row, numCols - col - 1] = source[row, col]; + } + } + + return temp; + } + + static char[,] FlipV(char[,] source) + { + var numRows = source.GetLength(0); + var numCols = source.GetLength(1); + char[,] temp = new char[numRows, numCols]; + for (int row = 0; row < numRows; row++) + { + for (int col = 0; col < numCols; col++) + { + temp[numRows - row - 1, col] = source[row, col]; + } + } + + return temp; + } + + public static void Go() + { + var start = DateTime.Now; + MakeList(); + Util.Log($"Q20 MakeList took {(DateTime.Now - start).TotalMilliseconds}ms"); + var p1start = DateTime.Now; + Part1(); + Util.Log($"Q20 part1 took {(DateTime.Now - p1start).TotalMilliseconds}ms"); + var p2start = DateTime.Now; + Part2(); + Util.Log($"Q20 part2 took {(DateTime.Now - p2start).TotalMilliseconds}ms"); + + Util.Log($"Q20 took {(DateTime.Now - start).TotalMilliseconds}ms"); + } + + static void MakeList() + { + string[] currTile = new string[TileSize]; + int tileNum = 0; + int rowNum = 0; + foreach (var line in File.ReadAllLines("20input.txt")) + { + if (string.IsNullOrWhiteSpace(line)) + { + list.Add(new Tile(tileNum, currTile)); + currTile = new string[TileSize]; + rowNum = 0; + } + else if (line.StartsWith("Tile")) + { + tileNum = Convert.ToInt32(line["Tile ".Length..^1]); + } + else + { + currTile[rowNum] = line; + rowNum++; + } + } + + list.Add(new Tile(tileNum, currTile)); + } + + static int CountMonsters(char[,] input) + { + var count = 0; + for (int col = 0; col < input.GetLength(1) - monster.GetLength(1); col++) + { + for (int row = 0; row < input.GetLength(0) - monster.GetLength(0); row++) + { + if (HasMonster(input, row, col)) + { + count++; + } + } + } + + return count; + } + + static readonly char[,] monster = new char[3, 20] + { + { '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '.', '#', '.' }, + { '#', '.', '.', '.', '.', '#', '#', '.', '.', '.', '.', '#', '#', '.', '.', '.', '.', '#', '#', '#' }, + { '.', '#', '.', '.', '#', '.', '.', '#', '.', '.', '#', '.', '.', '#', '.', '.', '#', '.', '.', '.' }, + }; + + static int MonsterSize + { + get + { + int size = 0; + for (int i = 0; i < monster.GetLength(0); i++) + { + for (int j = 0; j < monster.GetLength(1); j++) + { + if (monster[i, j] == '#') + { + size++; + } + } + } + + return size; + } + } + + static bool HasMonster(char[,] grid, int row, int col) + { + for (int c2 = 0; c2 < 20; c2++) + { + for (int r2 = 0; r2 < 3; r2++) + { + if (monster[r2, c2] == '#' && grid[col + c2, row + r2] != '#') + { + return false; + } + } + } + + return true; + } + + static List _corners; + static List Corners + { + get + { + if (_corners == null) + { + _corners = list.Where(t => t.Matches(list) == 2).ToList(); + } + + return _corners; + } + } + + static void Part1() + { + Util.Log($"Q20Part1: {Corners.Aggregate(1L, (i, v) => i * v.ID)}"); + } + + static void Part2() + { + var sides = new Dictionary>( + list.SelectMany(t => t.Sides.Select(s => new { s, t })) + .GroupBy(s => s.s) + .Where(s => s.Count() > 1) + .Select(s => new KeyValuePair>(s.Key, s.Select(i => i.t).ToList())) + ); + + var gridSize = (int)Math.Sqrt(list.Count); + var assembled = new Tile[gridSize, gridSize]; + for (int col = 0; col < gridSize; col++) + { + for (int row = 0; row < gridSize; row++) + { + Tile nextTile; + if (col == 0 && row == 0) // Find the corner and orient + { + nextTile = Corners.First(); + while (!sides.ContainsKey(nextTile.GetSide(Tile.SideName.Right)) || !sides.ContainsKey(nextTile.GetSide(Tile.SideName.Bottom))) + { + nextTile.Rotate(); + } + } + else if (row == 0) // top row: find the tile that fits to the right of the last one + { + var lastRight = assembled[row, col - 1].GetSide(Tile.SideName.Right); + nextTile = sides[lastRight].Single(e => !e.IsPlaced); + // Rotate until the right side is on the left + while (nextTile.GetSide(Tile.SideName.Left) != lastRight && nextTile.GetSide(Tile.SideName.LeftReverse) != lastRight) + { + nextTile.Rotate(); + } + // Flip if necessary + if (nextTile.GetSide(Tile.SideName.Left) != lastRight) + { + nextTile.FlipVertically(); + } + } + else // find the tile that fits the one above + { + var lastBottom = assembled[row - 1, col].GetSide(Tile.SideName.Bottom); + nextTile = sides[lastBottom].Single(e => !e.IsPlaced); + while (nextTile.GetSide(Tile.SideName.Top) != lastBottom && nextTile.GetSide(Tile.SideName.TopReverse) != lastBottom) + { + nextTile.Rotate(); + } + if (nextTile.GetSide(Tile.SideName.Top) != lastBottom) + { + nextTile.FlipHorizontally(); + } + } + assembled[row, col] = nextTile; + nextTile.IsPlaced = true; + } + } + + // Extract the final image + var imgDimensions = (TileSize - 2) * gridSize; + var grid = new char[imgDimensions, imgDimensions]; + var innerWidth = TileSize - 2; + for (int col = 0; col < gridSize; col++) + { + for (int tileColIdx = 1; tileColIdx < innerWidth + 1; tileColIdx++) + { + for (int row = 0; row < gridSize; row++) + { + for (int tileRowIdx = 1; tileRowIdx < innerWidth + 1; tileRowIdx++) + { + grid[(col * innerWidth) + tileColIdx - 1, (row * innerWidth) + tileRowIdx - 1] = assembled[row, col].Data[tileRowIdx, tileColIdx]; + } + } + } + } + + var waterCount = grid.Cast().Count(c => c == '#'); + var roughness = waterCount; + var numSides = 4; + for (int i = 0; i < numSides * 2; i++) + { + var count = CountMonsters(grid); + if (count > 0) + { + roughness = waterCount - count * MonsterSize; + } + + if (i == numSides) + { + grid = FlipH(grid); + } + else + { + RotateSquareCW(ref grid); + } + } + + Util.Log($"Q20Part2: roughness={roughness}"); + } + } +}