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+# AoC 2024 Day 10
+
+## Section
+
+```elixir
+defmodule Grid2D do
+  defstruct width: nil, height: nil
+
+  @directions %{
+    straight: [
+      {1, 0},
+      {-1, 0},
+      {0, 1},
+      {0, -1}
+    ],
+    diagonal: [
+      {1, 1},
+      {1, -1},
+      {-1, 1},
+      {-1, -1}
+    ]
+  }
+
+  def new(width, height) do
+    %Grid2D{width: width, height: height}
+  end
+
+  @doc """
+  ## Examples
+  iex> Grid2D.index_to_coord(Grid2D.new(5,5), 0)
+  {0,0}
+
+  iex> Grid2D.index_to_coord(Grid2D.new(5,5), 5)
+  {0,1}
+
+  iex> Grid2D.index_to_coord(Grid2D.new(5,5), 6)
+  {1,1}
+
+  iex> Grid2D.index_to_coord(Grid2D.new(5,5), 3)
+  {3,0}
+
+  iex> Grid2D.index_to_coord(Grid2D.new(5,5), 24)
+  {4, 4}
+  """
+  def index_to_coord(%Grid2D{width: w}, index) do
+    {rem(index, w), floor(index / w)}
+  end
+
+  @doc """
+  ## Examples
+  iex> Grid2D.coord_to_index( Grid2D.new(5,5), {0,0})
+  0
+
+  iex> Grid2D.coord_to_index( Grid2D.new(5,5), {4,4})
+  24
+
+  iex> Grid2D.coord_to_index( Grid2D.new(5,5), {2,2})
+  12
+  """
+  def coord_to_index(%Grid2D{width: w}, {x, y}) do
+    y * w + x
+  end
+
+  @doc """
+
+  ## Examples
+  iex> Grid2D.neighbors({0, 0}, Grid2D.new(5,5)) |> MapSet.new()
+  MapSet.new([{0, 1},  {1, 1}, {1,0}])
+
+  iex> Grid2D.neighbors({2, 2}, Grid2D.new(5,5)) |> MapSet.new()
+  [{1, 1}, {1, 2}, {1, 3}, {2, 1}, {2, 3}, {3, 1}, {3, 2}, {3, 3}] |> MapSet.new()
+
+  iex> Grid2D.neighbors({4, 4}, Grid2D.new(5,5)) |> MapSet.new
+  [{3, 3}, {3, 4}, {4, 3}] |> MapSet.new
+  """
+  def neighbors(p, g, allowed_directions \\ :all) do
+    directions(allowed_directions)
+    |> Stream.map(&add(p, &1))
+    |> Stream.filter(&is_in_grid?(&1, g))
+  end
+
+  @doc """
+  Distance from two points in a grid
+
+  iex> Grid2D.distance(Grid2D.new(5,5), {0,0}, {0,1}, :radial)
+  1
+
+  iex> Grid2D.distance(Grid2D.new(5,5), {0,0}, {1,1}, :radial)
+  1
+
+  iex> Grid2D.distance(Grid2D.new(5,5), {0,0}, {1,2}, :radial)
+  2
+  """
+  def distance(grid, p1, p2, type)
+  def distance(_, {x, y}, {a, b}, :radial), do: max(abs(x - a), abs(y - b))
+
+  @doc """
+  Add two points together pairwise
+
+  iex> Grid2D.add({0,0}, {0,1})
+  {0,1}
+
+  iex> Grid2D.add({2,3}, {3,2})
+  {5,5}
+  """
+  def add({x, y}, {j, k}), do: {x + j, y + k}
+
+  @doc """
+  Test if a point is in a grid
+
+  iex> Grid2D.is_in_grid?({1, 2}, %Grid2D{width: 3, height: 4})
+  true
+
+  iex> Grid2D.is_in_grid?({2, 2}, %Grid2D{width: 2, height: 4})
+  false
+  """
+  def is_in_grid?({x, y}, %Grid2D{width: w, height: h}), do: x < w and y < h and x >= 0 and y >= 0
+
+  @spec directions(allowed :: :all | :straight | :diagonal) :: any()
+  def directions(allowed \\ :all)
+  def directions(:all), do: directions(:straight) ++ directions(:diagonal)
+  def directions(:straight), do: @directions |> Map.get(:straight)
+  def directions(:diagonal), do: @directions |> Map.get(:diagonal)
+end
+
+```
+
+```elixir
+input = """
+""" 
+|> String.trim()
+tiles = input |> String.split("\n")
+  |> Stream.with_index() 
+  |> Enum.flat_map(fn {line, l_idx} ->
+    line 
+    |> String.trim() 
+    |> String.graphemes()
+    |> Stream.with_index()
+    |> Enum.map(fn {".", idx} -> {{idx, l_idx}, nil}
+      {c, idx} -> {{idx, l_idx}, c |> String.to_integer()} end)
+end)
+|> Enum.into(Map.new())
+grid = Grid2D.new(
+  input |> String.split("\n") |> Enum.at(0) |> String.trim() |> String.length(),
+  input |> String.trim() |> String.split("\n") |> Enum.count()
+)
+```
+
+```elixir
+defmodule TrailFinder do
+  def find_trails(input, tiles, grid) do
+    tiles
+    |> Stream.filter(fn {_, v} -> v == 0 end)
+    |> Enum.map(fn {k, _} -> {k, find_trails(input, tiles, grid, k, 0, [])} end)
+  end
+  def find_trails(_, _, _, p, 9, acc), do: [[{p, 9} | acc]]
+  def find_trails(input, tiles, grid, start, height, acc) do
+    Grid2D.neighbors(start, grid, :straight)
+    |> Stream.filter(fn p -> Map.get(tiles, p) == height + 1 end)
+    |> Enum.flat_map(fn p ->
+        find_trails(input, tiles, grid, p, height + 1, [{start, height} | acc])
+    end)
+  end
+end
+```
+
+```elixir
+trails = TrailFinder.find_trails(input, tiles, grid)
+```
+
+```elixir
+trails
+|> Stream.map(fn {s, l} -> {s, for [peak |_] <- l, into: MapSet.new do peak end } end)
+|> Stream.map(fn {_, s} -> MapSet.size(s) end)
+|> Enum.sum()
+```
+
+```elixir
+trails
+|> Stream.map(fn {_, l} -> l |> Enum.count end)
+|> Enum.sum()
+```