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Day 11 - Advent of Code 2023

lib/advent_of_code/2023/day-11.livemd

Day 11 - Advent of Code 2023

Mix.install([:kino, :benchee])

Links

Input

input = Kino.Input.textarea("Please paste your input file:")
input = input |> Kino.Input.read()
"......................#..................#................................#............#..........................#.........................\n..........#....................................#.................#..........................................................................\n................................#......................#..........................#.....................#................#..................\n...........................#....................................................................#........................................#..\n.....#..........#...................................................................................................................#.......\n........................................................................................#...................................................\n........................................#............#......................................................................................\n.....................#....................................................#...................#.......................#.....................\n..............................................................................................................................#...........#.\n............................#.......#......................#................................................................................\n...........#......................................#..............#............#.............................................................\n.........................................................................................#..................................................\n....#...............................................................................#.....................................#...........#.....\n..................#...........#...............#..............................................#.......#........#.............................\n........................................#...........................#.......................................................................\n............................................................................................................................................\n.........................#..........................#.........................#.........................#...................................\n................#...................#..................................................................................#...................#\n...#...........................................................#........#.............#..............................................#......\n..................................................................................................#.........................................\n.............#..............................#...............................................................................................\n.....................#.........................................................................................#............................\n............................#........................#............#.........................#..................................#............\n.......#..............................................................................................................#.....................\n........................................................................#........#..................#.......................................\n...#......................................#.......#......................................................#........#...............#.........\n...........................................................#.............................................................................#..\n................................#..................................#........................................................................\n.............#.................................#............................................................................................\n#......" <> ...

Solution

defmodule Day11 do
  defdelegate parse(input), to: __MODULE__.Input

  def part1(input) do
    solve(input, 2)
  end

  def part2(input) do
    solve(input, 1_000_000)
  end

  def solve(input, mult) do
    grid = parse(input)

    find_distances(grid.galaxies, [], grid, mult)
    |> Enum.map(&amp;elem(&amp;1, 2))
    |> Enum.sum()
  end

  defp find_distances([_lastg], distances, _grid, _mult), do: distances

  defp find_distances([g1 | tail], distances, grid, mult) do
    Enum.reduce(tail, distances, fn g2, acc ->
      [{g1, g2, calc_distance(g1, g2, grid, mult)} | acc]
    end)
    |> then(&amp;find_distances(tail, &amp;1, grid, mult))
  end

  defp calc_distance({x1, y1}, {x2, y2}, grid, mult) do
    extra_x = x1..x2 |> Enum.count(&amp;(&amp;1 in grid.empty_x))
    extra_y = y1..y2 |> Enum.count(&amp;(&amp;1 in grid.empty_y))

    abs(x2 - x1) + abs(y2 - y1) + (extra_x + extra_y) * (mult - 1)
  end

  defmodule Input do
    def parse(input) when is_binary(input) do
      input
      |> String.splitter("\n", trim: true)
      |> parse()
    end

    def parse(input) do
      input
      |> Enum.with_index()
      |> Enum.reduce(%{}, &amp;parse_line/2)
      |> add_max_xy()
      |> add_empties()
      |> add_galaxies()
    end

    def parse_line({line, row}, grid) do
      line
      |> String.to_charlist()
      |> Enum.with_index()
      |> Enum.reduce(grid, fn {char, col}, acc ->
        Map.put(acc, {col, row}, char)
      end)
    end

    defp add_max_xy(grid) do
      x = Map.keys(grid) |> Enum.map(&amp;elem(&amp;1, 0)) |> Enum.max()
      y = Map.keys(grid) |> Enum.map(&amp;elem(&amp;1, 1)) |> Enum.max()

      Map.merge(grid, %{max_x: x, max_y: y})
    end

    defp add_empties(grid) do
      grid
      |> Map.put(
        :empty_y,
        0..grid.max_y
        |> Enum.reduce([], fn y, acc ->
          if Enum.all?(0..grid.max_x, &amp;(grid[{&amp;1, y}] == ?.)) do
            [y | acc]
          else
            acc
          end
        end)
      )
      |> Map.put(
        :empty_x,
        0..grid.max_x
        |> Enum.reduce([], fn x, acc ->
          if Enum.all?(0..grid.max_y, &amp;(grid[{x, &amp;1}] == ?.)) do
            [x | acc]
          else
            acc
          end
        end)
      )
    end

    defp add_galaxies(grid) do
      Map.put(grid, :galaxies, for({k, ?#} <- grid, do: k))
    end
  end
end
{:module, Day11, <<70, 79, 82, 49, 0, 0, 16, ...>>,
 {:module, Day11.Input, <<70, 79, 82, ...>>, {:add_galaxies, 1}}}

Expand the universe, then find the length of the shortest path between every pair of galaxies. What is the sum of these lengths?

Your puzzle answer was 10033566.

Day11.part1(input)
10033566

Starting with the same initial image, expand the universe according to these new rules, then find the length of the shortest path between every pair of galaxies. What is the sum of these lengths?

Your puzzle answer was 560822911938.

Day11.part2(input)
560822911938

Both parts of this puzzle are complete! They provide two gold stars: **

At this point, you should return to your Advent calendar and try another puzzle.

If you still want to see it, you can get your puzzle input.

Tests

ExUnit.start(auto_run: false)

defmodule Day11Test do
  use ExUnit.Case, async: false

  setup_all do
    [
      input:
        "...#......\n.......#..\n#.........\n..........\n......#...\n.#........\n.........#\n..........\n.......#..\n#...#....."
    ]
  end

  describe "part1/1" do
    test "returns expected value", %{input: input} do
      assert Day11.part1(input) == 374
    end
  end

  describe "part2/1" do
    test "returns expected value", %{input: input} do
      assert Day11.solve(input, 10) == 1030
      assert Day11.solve(input, 100) == 8410
    end
  end
end

ExUnit.run()
..
Finished in 0.00 seconds (0.00s async, 0.00s sync)
2 tests, 0 failures

Randomized with seed 471315
%{total: 2, failures: 0, excluded: 0, skipped: 0}

Benchmarking

# https://github.com/bencheeorg/benchee
Benchee.run(
  %{
    "Part 1" => fn -> Day11.part1(input) end,
    "Part 2" => fn -> Day11.part2(input) end
  },
  memory_time: 2,
  reduction_time: 2
)

nil
Warning: the benchmark Part 1 is using an evaluated function.
  Evaluated functions perform slower than compiled functions.
  You can move the Benchee caller to a function in a module and invoke `Mod.fun()` instead.
  Alternatively, you can move the benchmark into a benchmark.exs file and run mix run benchmark.exs

Warning: the benchmark Part 2 is using an evaluated function.
  Evaluated functions perform slower than compiled functions.
  You can move the Benchee caller to a function in a module and invoke `Mod.fun()` instead.
  Alternatively, you can move the benchmark into a benchmark.exs file and run mix run benchmark.exs

Operating System: macOS
CPU Information: Apple M1 Pro
Number of Available Cores: 10
Available memory: 32 GB
Elixir 1.15.6
Erlang 26.1

Benchmark suite executing with the following configuration:
warmup: 2 s
time: 5 s
memory time: 2 s
reduction time: 2 s
parallel: 1
inputs: none specified
Estimated total run time: 22 s

Benchmarking Part 1 ...
Benchmarking Part 2 ...

Name             ips        average  deviation         median         99th %
Part 2          4.98      200.91 ms     ±0.82%      200.82 ms      203.44 ms
Part 1          4.96      201.65 ms     ±1.07%      200.98 ms      206.28 ms

Comparison: 
Part 2          4.98
Part 1          4.96 - 1.00x slower +0.73 ms

Memory usage statistics:

Name      Memory usage
Part 2        47.32 MB
Part 1        47.32 MB - 1.00x memory usage +0 MB

**All measurements for memory usage were the same**

Reduction count statistics:

Name           average  deviation         median         99th %
Part 2         75.22 M     ±0.00%        75.22 M        75.22 M
Part 1         75.22 M     ±0.00%        75.22 M        75.22 M

Comparison: 
Part 2         75.22 M
Part 1         75.22 M - 1.00x reduction count +0.00012 M
nil