day 11 part 1 done
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Jake Pullen
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@@ -1,6 +1,106 @@
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import os
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from queue import Queue
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# import os
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with open(r'advent_of_code\2023\day_11\input.txt', 'r') as file:
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input = file.read()
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input = file.readlines()
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print(input)
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# print(input)
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test_input = '''...#......
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.......#..
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#.........
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..........
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......#...
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.#........
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.........#
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..........
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.......#..
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#...#.....'''
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#print(test_input)
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#input = test_input.split('\n')
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def expand_universe(input):
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'''add an extra row or column of empty spaces to each row or column that has no # in it'''
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print('Expanding universe')
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# expand empty rows
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new_input = []
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for row in input:
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if '#' in row:
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new_input.append(row)
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else:
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new_input.append(row)
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new_input.append(row)
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# expand empty columns
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# Transpose the input
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transposed_input = list(map(list, zip(*new_input)))
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new_input = []
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for row in transposed_input:
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if '#' in row:
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new_input.append(row)
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else:
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new_input.append(row)
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new_input.append(row)
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# Transpose the input back
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new_input = list(map(list, zip(*new_input)))
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# Convert rows back to strings
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new_input = [''.join(row) for row in new_input]
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return new_input
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input = expand_universe(input)
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def number_galaxies(input):
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'''gives a unique number to each galaxy(#) in the input grid'''
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print('Numbering galaxies')
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# make a copy of the input
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input_copy = [list(row) for row in input] # Convert strings to lists
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# replace the galaxies with their numbers
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galaxy_number = 1
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galaxy_coordinates = {} # This dictionary will store the coordinates of each galaxy
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for i in range(len(input_copy)):
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for j in range(len(input_copy[i])):
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if input_copy[i][j] == '#':
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input_copy[i][j] = str(galaxy_number) # Convert number back to string
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galaxy_coordinates[galaxy_number] = (i, j) # Store the coordinates of the galaxy
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galaxy_number += 1 # Increment the galaxy number
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# Convert lists back to strings
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input_copy = [''.join(row) for row in input_copy]
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return input_copy, galaxy_coordinates
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input, galaxy_coordinates = number_galaxies(input)
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#print(galaxy_coordinates)
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def manhattan_distance(point1, point2):
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return abs(point1[0] - point2[0]) + abs(point1[1] - point2[1])
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# find the shortest path between each pair of galaxies
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print('Finding the shortest path between each pair of galaxies')
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galaxy_distances = {}
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for galaxy in galaxy_coordinates:
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galaxy_distances[galaxy] = {}
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for other_galaxy in galaxy_coordinates:
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if galaxy != other_galaxy:
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galaxy_distances[galaxy][other_galaxy] = manhattan_distance(galaxy_coordinates[galaxy], galaxy_coordinates[other_galaxy])
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#print(galaxy_distances)
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# remove the duplicate distances ie 1->2 and 2->1
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print('Removing the duplicate distances')
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for galaxy in galaxy_distances:
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for other_galaxy in galaxy_distances[galaxy]:
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if other_galaxy in galaxy_distances:
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del galaxy_distances[other_galaxy][galaxy]
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#print(galaxy_distances)
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# sum up all the distances
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print('Summing up all the distances')
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total_distance = 0
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for galaxy in galaxy_distances:
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for other_galaxy in galaxy_distances[galaxy]:
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total_distance += galaxy_distances[galaxy][other_galaxy]
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print(total_distance)
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@@ -1 +1,89 @@
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# Day 11 Puzzle Text.
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<article class="day-desc"><h2>--- Day 11: Cosmic Expansion ---</h2><p>You continue following signs for "Hot Springs" and eventually come across an <a href="https://en.wikipedia.org/wiki/Observatory" target="_blank">observatory</a>. The Elf within turns out to be a researcher studying cosmic expansion using the giant telescope here.</p>
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<p>He doesn't know anything about the missing machine parts; he's only visiting for this research project. However, he confirms that the hot springs are the next-closest area likely to have people; he'll even take you straight there once he's done with today's observation analysis.</p>
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<p>Maybe you can help him with the analysis to speed things up?</p>
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<p>The researcher has collected a bunch of data and compiled the data into a single giant <em>image</em> (your puzzle input). The image includes <em>empty space</em> (<code>.</code>) and <em>galaxies</em> (<code>#</code>). For example:</p>
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<pre><code>...#......
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.......#..
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#.........
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..........
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......#...
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.#........
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.........#
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..........
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.......#..
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#...#.....
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</code></pre>
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<p>The researcher is trying to figure out the sum of the lengths of the <em>shortest path between every pair of galaxies</em>. However, there's a catch: the universe expanded in the time it took the light from those galaxies to reach the observatory.</p>
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<p>Due to something involving gravitational effects, <em>only some space expands</em>. In fact, the result is that <em>any rows or columns that contain no galaxies</em> should all actually be twice as big.</p>
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<p>In the above example, three columns and two rows contain no galaxies:</p>
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<pre><code> v v v
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...#......
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.......#..
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#.........
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>..........<
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......#...
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.#........
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.........#
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>..........<
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.......#..
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#...#.....
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^ ^ ^
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</code></pre>
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<p>These rows and columns need to be <em>twice as big</em>; the result of cosmic expansion therefore looks like this:</p>
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<pre><code>....#........
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.........#...
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#............
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.............
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.............
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........#....
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.#...........
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............#
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.............
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.............
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</code></pre>
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<p>Equipped with this expanded universe, the shortest path between every pair of galaxies can be found. It can help to assign every galaxy a unique number:</p>
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<pre><code>....1........
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.........2...
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3............
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.............
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.............
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........4....
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.5...........
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............6
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.............
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.............
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8....9.......
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</code></pre>
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<p>In these 9 galaxies, there are <em>36 pairs</em>. Only count each pair once; order within the pair doesn't matter. For each pair, find any shortest path between the two galaxies using only steps that move up, down, left, or right exactly one <code>.</code> or <code>#</code> at a time. (The shortest path between two galaxies is allowed to pass through another galaxy.)</p>
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<p>For example, here is one of the shortest paths between galaxies <code>5</code> and <code>9</code>:</p>
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<pre><code>....1........
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.........2...
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3............
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.............
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.............
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........4....
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.5...........
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.##.........6
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..##.........
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...##........
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....##...7...
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8....9.......
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</code></pre>
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<p>This path has length <code><em>9</em></code> because it takes a minimum of <em>nine steps</em> to get from galaxy <code>5</code> to galaxy <code>9</code> (the eight locations marked <code>#</code> plus the step onto galaxy <code>9</code> itself). Here are some other example shortest path lengths:</p>
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<ul>
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<li>Between galaxy <code>1</code> and galaxy <code>7</code>: 15</li>
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<li>Between galaxy <code>3</code> and galaxy <code>6</code>: 17</li>
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<li>Between galaxy <code>8</code> and galaxy <code>9</code>: 5</li>
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</ul>
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<p>In this example, after expanding the universe, the sum of the shortest path between all 36 pairs of galaxies is <code><em>374</em></code>.</p>
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<p>Expand the universe, then find the length of the shortest path between every pair of galaxies. <em>What is the sum of these lengths?</em></p>
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<p>Your puzzle answer was <code>9724940</code>.</p><p class="day-success">The first half of this puzzle is complete! It provides one gold star: *</p>
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<article class="day-desc"><h2 id="part2">--- Part Two ---</h2><p>The galaxies are much <em>older</em> (and thus much <em>farther apart</em>) than the researcher initially estimated.</p>
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<p>Now, instead of the expansion you did before, make each empty row or column <em><span title="And you have to have your pinky near your mouth when you do it.">one million</span> times</em> larger. That is, each empty row should be replaced with <code>1000000</code> empty rows, and each empty column should be replaced with <code>1000000</code> empty columns.</p>
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<p>(In the example above, if each empty row or column were merely <code>10</code> times larger, the sum of the shortest paths between every pair of galaxies would be <code><em>1030</em></code>. If each empty row or column were merely <code>100</code> times larger, the sum of the shortest paths between every pair of galaxies would be <code><em>8410</em></code>. However, your universe will need to expand far beyond these values.)</p>
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<p>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. <em>What is the sum of these lengths?</em></p>
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