Advent of Code

--- Day 21: Fractal Art ---

   You find a program trying to generate some art. It uses a strange process
   that involves repeatedly enhancing the detail of an image through a set of
   rules.

   The image consists of a two-dimensional square grid of pixels that are
   either on (#) or off (.). The program always begins with this pattern:

 .#.
 ..#
 ###

   Because the pattern is both 3 pixels wide and 3 pixels tall, it is said to
   have a size of 3.

   Then, the program repeats the following process:

     • If the size is evenly divisible by 2, break the pixels up into 2x2
     squares, and convert each 2x2 square into a 3x3 square by following the
     corresponding enhancement rule.

     • Otherwise, the size is evenly divisible by 3; break the pixels up into
     3x3 squares, and convert each 3x3 square into a 4x4 square by following
     the corresponding enhancement rule.

   Because each square of pixels is replaced by a larger one, the image gains
   pixels and so its size increases.

   The artist's book of enhancement rules is nearby (your puzzle input);
   however, it seems to be missing rules. The artist explains that sometimes,
   one must rotate or flip the input pattern to find a match. (Never rotate or
   flip the output pattern, though.) Each pattern is written concisely: rows
   are listed as single units, ordered top-down, and separated by slashes. For
   example, the following rules correspond to the adjacent patterns:

 ../.#  =  ..
           .#

                 .#.
 .#./..#/###  =  ..#
                 ###

                         #..#
 #..#/..../#..#/.##.  =  ....
                         #..#
                         .##.

   When searching for a rule to use, rotate and flip the pattern as necessary.
   For example, all of the following patterns match the same rule:

 .#.   .#.   #..   ###
 ..#   #..   #.#   ..#
 ###   ###   ##.   .#.

   Suppose the book contained the following two rules:

 ../.# => ##./#../...
 .#./..#/### => #..#/..../..../#..#

   As before, the program begins with this pattern:

 .#.
 ..#
 ###

   The size of the grid (3) is not divisible by 2, but it is divisible by 3. It
   divides evenly into a single square; the square matches the second rule,
   which produces:

 #..#
 ....
 ....
 #..#

   The size of this enhanced grid (4) is evenly divisible by 2, so that rule is
   used. It divides evenly into four squares:

 #.|.#
 ..|..
 --+--
 ..|..
 #.|.#

   Each of these squares matches the same rule (../.# => ##./#../...), three of
   which require some flipping and rotation to line up with the rule. The
   output for the rule is the same in all four cases:

 ##.|##.
 #..|#..
 ...|...
 ---+---
 ##.|##.
 #..|#..
 ...|...

   Finally, the squares are joined into a new grid:

 ##.##.
 #..#..
 ......
 ##.##.
 #..#..
 ......

   Thus, after 2 iterations, the grid contains 12 pixels that are on.

   How many pixels stay on after 5 iterations?

   Your puzzle answer was 164.

--- Part Two ---

   How many pixels stay on after 18 iterations?

   Your puzzle answer was 2355110.

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

   At this point, all that is left is for you to admire your advent calendar.

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

References

   Visible links
   . http://adventofcode.com/
   . http://adventofcode.com/2017/about
   . http://adventofcode.com/2017/support
   . http://adventofcode.com/2017/events
   . http://adventofcode.com/2017/settings
   . http://adventofcode.com/2017/auth/logout
   . http://adventofcode.com/2017
   . http://adventofcode.com/2017
   . http://adventofcode.com/2017/leaderboard
   . http://adventofcode.com/2017/stats
   . http://adventofcode.com/2017/sponsors
   . http://adventofcode.com/2017/sponsors
   . http://adventofcode.com/2017
   . http://adventofcode.com/2017/day/21/input