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packages =
  File.stream!("inputs/day24.txt")
  |> Enum.map(fn line ->
    {num, ""} = String.trim(line) |> Integer.parse()
    num
  end)

defmodule SleighPacker do
  def canMakeSecondPile(_, 0) do
    true
  end

  def canMakeSecondPile([], _) do
    false
  end

  def canMakeSecondPile([next | remainingPackages], remainingWeight) do
    canMakeSecondPile(remainingPackages, remainingWeight - next) ||
      canMakeSecondPile(remainingPackages, remainingWeight)
  end

  def packagesCanBeSplitEvenly(rejectedPackages, piles) do
    weightPerPile = div(Enum.sum(rejectedPackages), piles)
    # This gave me the right answer for part 2, but that seems to just be a
    # lucky detail. You probably need to make sure that you can make all of the
    # remaining piles until it's the last two being split.
    canMakeSecondPile(rejectedPackages, weightPerPile)
  end

  def findBestSmallestPile(remainingPackages, 0, rejectedPackages, piles) do
    if packagesCanBeSplitEvenly(remainingPackages ++ rejectedPackages, piles - 1) do
      []
    else
      nil
    end
  end

  def findBestSmallestPile([], _, _, _) do
    nil
  end

  def findBestSmallestPile([next | remainingPackages], remainingWeight, rejectedPackages, piles)
      when next > remainingWeight do
    findBestSmallestPile(remainingPackages, remainingWeight, [next | rejectedPackages], piles)
  end

  def findBestSmallestPile([next | remainingPackages], remainingWeight, rejectedPackages, piles) do
    withNextTail =
      findBestSmallestPile(remainingPackages, remainingWeight - next, rejectedPackages, piles)

    withNext =
      if withNextTail == nil do
        nil
      else
        [next | withNextTail]
      end

    withoutNext =
      findBestSmallestPile(remainingPackages, remainingWeight, [next | rejectedPackages], piles)

    cond do
      withNext == nil && withoutNext == nil ->
        nil

      withNext == nil ->
        withoutNext

      withoutNext == nil ->
        withNext

      length(withNext) == length(withoutNext) ->
        if Enum.product(withNext) < Enum.product(withoutNext) do
          withNext
        else
          withoutNext
        end

      length(withNext) < length(withoutNext) ->
        withNext

      true ->
        withoutNext
    end
  end

  def packTheSleigh(packages, piles) do
    weightPerPile = div(Enum.sum(packages), piles)
    findBestSmallestPile(packages, weightPerPile, [], piles)
  end
end

threePack = SleighPacker.packTheSleigh(packages, 3)
IO.puts("Product with three piles: #{Enum.product(threePack)}")

fourPack = SleighPacker.packTheSleigh(packages, 4)
IO.puts("Product with four piles: #{Enum.product(fourPack)}")