Advent of Code Day 9

defmodule Day09 do
  use AOC

  def step("R"), do: {1, 0}
  def step("L"), do: {-1, 0}
  def step("U"), do: {0, 1}
  def step("D"), do: {0, -1}

  def new_tail({head_x, head_y}, {tail_x, tail_y}) do
     case {tail_x - head_x, tail_y - head_y} do
      {-2, -2} -> {head_x - 1, head_y - 1}
      {-2, 2} -> {head_x - 1, head_y + 1}
      {2, -2} -> {head_x + 1, head_y - 1}
      {2, 2} -> {head_x + 1, head_y + 1}
      {-2, _} -> {head_x - 1, head_y}
      {2, _} -> {head_x + 1, head_y}
      {_, -2} -> {head_x, head_y - 1}
      {_, 2} -> {head_x, head_y + 1}
      _ -> {tail_x, tail_y}
     end
  end

  def part1 do
    input(9)
    |> String.split("\n")
    |> Enum.reduce({{0, 0}, {0, 0}, []}, fn motions, state ->
      [direction, steps] = String.split(motions)
      make_move_1(step(direction), String.to_integer(steps), state)
    end)
    |> elem(2)
    |> Enum.uniq
    |> Enum.count
  end

  def make_move_1({step_x, step_y}, move, state) do
    Enum.reduce(1..move, state, fn _, {{head_x, head_y}, tail, tail_positions} ->
      new_head = {head_x + step_x, head_y + step_y}
      new_tail = new_tail(new_head, tail)
      {new_head, new_tail, [new_tail | tail_positions]}
    end)
  end

  def part2 do
    input(9)
    |> String.split("\n", trim: true)
    |> Enum.reduce({[], (for _ <- 1..10, do: {0, 0})}, fn motions, state ->
      [direction, steps] = String.split(motions)
      make_move_2(step(direction), String.to_integer(steps), state)
    end)
    |> elem(0)
    |> Enum.uniq
    |> Enum.count
  end

  def make_move_2({step_x, step_y}, move, state) do
    Enum.reduce(1..move, state, fn _, {tail_positions, [{head_x, head_y} | knots]} ->
      new_head = {head_x + step_x, head_y + step_y}
      {new_knots, new_tail} = Enum.map_reduce(knots, new_head, fn knot, last_knot ->
        new_knot = new_tail(last_knot, knot)
        {new_knot, new_knot}
      end)
      {[new_tail | tail_positions], [new_head | new_knots]}
    end)
  end

end