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Jake Pullen
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<article class="day-desc"><h2>--- Day 1: Trebuchet?! ---</h2><p>Something is wrong with global snow production, and you've been selected to take a look. The Elves have even given you a map; on it, they've used stars to mark the top fifty locations that are likely to be having problems.</p>
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<p>You've been doing this long enough to know that to restore snow operations, you need to check all <em class="star">fifty stars</em> by December 25th.</p>
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<p>Collect stars by solving puzzles. Two puzzles will be made available on each day in the Advent calendar; the second puzzle is unlocked when you complete the first. Each puzzle grants <em class="star">one star</em>. Good luck!</p>
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<p>You try to ask why they can't just use a <a href="/2015/day/1">weather machine</a> ("not powerful enough") and where they're even sending you ("the sky") and why your map looks mostly blank ("you sure ask a lot of questions") <span title="My hope is that this abomination of a run-on sentence somehow conveys the chaos of being hastily loaded into a trebuchet.">and</span> hang on did you just say the sky ("of course, where do you think snow comes from") when you realize that the Elves are already loading you into a <a href="https://en.wikipedia.org/wiki/Trebuchet" target="_blank">trebuchet</a> ("please hold still, we need to strap you in").</p>
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<p>As they're making the final adjustments, they discover that their calibration document (your puzzle input) has been <em>amended</em> by a very young Elf who was apparently just excited to show off her art skills. Consequently, the Elves are having trouble reading the values on the document.</p>
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<p>The newly-improved calibration document consists of lines of text; each line originally contained a specific <em>calibration value</em> that the Elves now need to recover. On each line, the calibration value can be found by combining the <em>first digit</em> and the <em>last digit</em> (in that order) to form a single <em>two-digit number</em>.</p>
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<p>For example:</p>
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<pre><code>1abc2
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pqr3stu8vwx
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a1b2c3d4e5f
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treb7uchet
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</code></pre>
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<p>In this example, the calibration values of these four lines are <code>12</code>, <code>38</code>, <code>15</code>, and <code>77</code>. Adding these together produces <code><em>142</em></code>.</p>
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<p>Consider your entire calibration document. <em>What is the sum of all of the calibration values?</em></p>
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<p>Your puzzle answer was <code>56049</code>.</p><article class="day-desc"><h2 id="part2">--- Part Two ---</h2><p>Your calculation isn't quite right. It looks like some of the digits are actually <em>spelled out with letters</em>: <code>one</code>, <code>two</code>, <code>three</code>, <code>four</code>, <code>five</code>, <code>six</code>, <code>seven</code>, <code>eight</code>, and <code>nine</code> <em>also</em> count as valid "digits".</p>
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<p>Equipped with this new information, you now need to find the real first and last digit on each line. For example:</p>
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<pre><code>two1nine
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eightwothree
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abcone2threexyz
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xtwone3four
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4nineeightseven2
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zoneight234
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7pqrstsixteen
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</code></pre>
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<p>In this example, the calibration values are <code>29</code>, <code>83</code>, <code>13</code>, <code>24</code>, <code>42</code>, <code>14</code>, and <code>76</code>. Adding these together produces <code><em>281</em></code>.</p>
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<p><em>What is the sum of all of the calibration values?</em></p>
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@@ -1,140 +0,0 @@
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FL7-|J.L7LJJF-F--F------JL-7F-JL-JF-7||L7|F7FJLJFJFJ|||||||||L7-F7JFJL--J|L-7|F|||||F7L7F7|FJL7F7|L-7FJ||LJ|||F-7LJL-7L---JJLFJ7F|-JJ7LL7-|7
|
||||
77|.|L7LL7J--.L.-L----7F7F7LJF-7F-JFJ||FJLJ|L7F7L7L7||||LJLJ|FJFJL-JF7F-7|F-J|FJ|||||L7LJLJ|F-J||||FJL7LJF-J|||FJF7F7L----77FL7|JL77J|F|-FL7
|
||||
J-77J7L7LF-7L-LFJ|L|L|LJLJ|F7|FJL77L7||L7F-JFJ|L-JFJLJ|L---7|L7L-7F7|LJ.||L-7|L7|||LJFJF-7FJL--J||FJF7L7FJF7|||L7||||F7F7FJ77JF--LJJ-LJJLJJJ
|
||||
|..--|LJ7.FJJ.L--F-F7F7F7FJ|LJ|F-JF-J|L7||F7L7L7F7L--7L7F7FJ|FJF-J||L--7LJF7||7|||L-7L7|-LJF7F7.LJ|FJ|FJL7|||LJFJ|LJLJLJLJ.JJ.---JJ|JF7|-FJJ
|
||||
L-J-F|.FJF|FFF-7J.L|LJLJLJFJF-JL7|L-7L7||LJL7|FJ||F--JFJ|LJF|L7|F7|L7F7|F-JLJL7LJL--JFJL---JLJL77FJL7||L||||L7JL7L-----7J77|F|-7LFJ|-LF--J|7
|
||||
LJ7LJJ.LJ-F|JL7L7--L-7F-7FJL|F7FJF--JFJ|L--7||L-J|L-7|L7L--7L-JLJ||FJ|||L-7F-7L-7|F--JF-7F-----JFJF7||L-7||L7|F-JF-7F--JLFJL-LJF7F7|.FF7-J7.
|
||||
F-LF7.JJ|L-F7F7FJ7|JFJ|FJL-7||||FJF7FJL|F-7|||F--JF7L-7L---JF----J|L7||L7F||LL7FJFJF-7L7|L7F7F-7|FJ|||F7|LJLLJL7FJFJL---77.L77L-JJLF|.JJJ7.J
|
||||
|-LL-7JF7.FL-|J7|F7FL-JL7F-JLJ||L7||L-7||FJ|LJL--7|L-7L-7F7JL-7F7FJ|||L-JFJL7FJL7L7|FJFJL7LJLJFJ||FJ||||L7F-7F-JL7|F-7F7L7JJL7|L-F--|-LJ.FF.
|
||||
L7LF-7LJJF|FL.LJ7J.F.F7FJL-7F-J|JLJL7FJLJ|FJ7F7F-JL-7|F-J|L-7F|||L7FJL--7L7FJ|F7|-LJL7L-7L7F7FJFJ||FJ||L7LJFJL-7FJ|L7LJL-J|-|F|LF7.LJ.LF|FJ7
|
||||
LJFL-J7.L-LF-F-L|JLF7|LJF7FJL7FJF---JL7F7LJ-FJ|L--7FJ|L--JF-J-LJL-JL-7F-JFJL7||||F---JF7|FJ||L7|FJ|L7LJLL7FJF--J|.L7L--7JL7-F|F7JL-.L|7LL|-7
|
||||
JFJLL-L7J.||F7JLJ7J||L7FJ||FFJ||L7F7F7LJL-7-L7L---JL7|F-7FJ.F|-|-|JJLLJJFL-7|||LJL7F7FJ|||FJL7|LJLL7L7F--J|LL7F7L-7L7F7|.|L7LL7J||LJ.FF7||F-
|
||||
.|J||7JF-7FJ-J-FJFFJL-JL7LJFL7L7L||LJ|F-7FJF-JF7F7F7|||FJ|7-J7.|FF-L7J-LF--J||L-7FJ||L7LJ||7FJ||7..L-JL--7L-7LJ|F-J||||L7---7L|-FFFJF-JLF7J.
|
||||
FJ7JFLFF..JJ||F--LL---7FJJ-FJL7|FJ|F-JL7LJFJF7|LJ||LJ||L7|-.LJ7LJ||7||LFJF-7|L7FJL-JL7L-7|L7L7L-7-J|.F7.FJF7L7FJL7F-LJL-JJ|.|.|JLJ||-|F.-|..
|
||||
F.F----J.F|LF7F7-|JLJ-||JL.F-L||L-J|F-7L-7L7|||F-JL-7|L7||.|7FF7FFFJ-L-L7|FJ|7LJ.LF7FJF-J|FJ-L7FJ7JF-|L-JFJ|FJL-7L7.L..|L7JF7-|J7-F.L7JFJJ7F
|
||||
LLJL|FJJ7LF-J7|7F||J|.||F|F--7LJJFFJ|FJF7L7LJLJL7F7FJL-J||.LLLLJJL7.7J|LLJL7|7F---JLJFJ-FJL7-LLJJLFJFL7F7L7LJJ..|FJ7..FJ7.LLJ|.FF-J--7F-.77|
|
||||
-7JLF||-|LJJ..LJJ||FJ-LJ7J-J.7JFF-L-JL7||FJ-J.LFJ|||J...LJ--7L7J|7J7L-L77.FJL7L-----7L-7|F7|J|FJJL.F|L||L7|J|.-FJ|JF-77..FFJFFLJ-7L-J.F.JJ--
|
||||
J777L|7L--LJF-|7L7J7.LJ7F.|..F.|.J.L|.LJ|||-J-FL7|||LL..||.LFFJF--F-.F|F-7L--JJLLLF-JF-JLJ||F77.FL.|J.|||LJL---L7|7LLFF7-FJJLLJ|F7.|.7|J|F|J
|
||||
L--J.7|.|.FF7--7.J-F|--F|-7.FL7|7..FL-J-LJ-7|JLF||LJ7|7.FFJ7JLL7F7JJ.F|J.FJ.JJ.7.LL7FJJL7LLJ-J77FJ-|FFLJJ7|.|FFL||--7|J.|.L77L-L|7FL7-|L7-77
|
||||
LJ-LJ.F-|.7|...||7F77|F|J-.|FLFL77-|J.|.|JLJJ|LLLJ|-F|77-||L|.F-FJJ.|-LJ7L7J.F--7LLLJ.FJJ.F|J-|||.F|FFJ|||7.|-J-LJ.L--7L--|FFJJ7.F7J|-JL-.F7
|
||||
7JFF.FF-L-LJJJ-7JL7LLL|7JJ.LJJLLLFJLFJ7JJL.LL--JJLJ..JLL-FF---J.J.F.L.J.|-|LFF--7-L|-LF.J-JJJLLF--L-|J.L|L|.J-J.LLJJ-L|.|-L-F---J.LJJJ.FJL|7
|
||||
@@ -1,173 +0,0 @@
|
||||
|
||||
<article class="day-desc"><h2>--- Day 10: Pipe Maze ---</h2><p>You use the hang glider to ride the hot air from Desert Island all the way up to the floating metal island. This island is surprisingly cold and there definitely aren't any thermals to glide on, so you leave your hang glider behind.</p>
|
||||
<p>You wander around for a while, but you don't find any people or animals. However, you do occasionally find signposts labeled "<a href="https://en.wikipedia.org/wiki/Hot_spring" target="_blank">Hot Springs</a>" pointing in a seemingly consistent direction; maybe you can find someone at the hot springs and ask them where the desert-machine parts are made.</p>
|
||||
<p>The landscape here is alien; even the flowers and trees are made of metal. As you stop to admire some metal grass, you notice something metallic scurry away in your peripheral vision and jump into a big pipe! It didn't look like any animal you've ever seen; if you want a better look, you'll need to get ahead of it.</p>
|
||||
<p>Scanning the area, you discover that the entire field you're standing on is <span title="Manufactured by Hamilton and Hilbert Pipe Company">densely packed with pipes</span>; it was hard to tell at first because they're the same metallic silver color as the "ground". You make a quick sketch of all of the surface pipes you can see (your puzzle input).</p>
|
||||
<p>The pipes are arranged in a two-dimensional grid of <em>tiles</em>:</p>
|
||||
<ul>
|
||||
<li><code>|</code> is a <em>vertical pipe</em> connecting north and south.</li>
|
||||
<li><code>-</code> is a <em>horizontal pipe</em> connecting east and west.</li>
|
||||
<li><code>L</code> is a <em>90-degree bend</em> connecting north and east.</li>
|
||||
<li><code>J</code> is a <em>90-degree bend</em> connecting north and west.</li>
|
||||
<li><code>7</code> is a <em>90-degree bend</em> connecting south and west.</li>
|
||||
<li><code>F</code> is a <em>90-degree bend</em> connecting south and east.</li>
|
||||
<li><code>.</code> is <em>ground</em>; there is no pipe in this tile.</li>
|
||||
<li><code>S</code> is the <em>starting position</em> of the animal; there is a pipe on this tile, but your sketch doesn't show what shape the pipe has.</li>
|
||||
</ul>
|
||||
<p>Based on the acoustics of the animal's scurrying, you're confident the pipe that contains the animal is <em>one large, continuous loop</em>.</p>
|
||||
<p>For example, here is a square loop of pipe:</p>
|
||||
<pre><code>.....
|
||||
.F-7.
|
||||
.|.|.
|
||||
.L-J.
|
||||
.....
|
||||
</code></pre>
|
||||
<p>If the animal had entered this loop in the northwest corner, the sketch would instead look like this:</p>
|
||||
<pre><code>.....
|
||||
.<em>S</em>-7.
|
||||
.|.|.
|
||||
.L-J.
|
||||
.....
|
||||
</code></pre>
|
||||
<p>In the above diagram, the <code>S</code> tile is still a 90-degree <code>F</code> bend: you can tell because of how the adjacent pipes connect to it.</p>
|
||||
<p>Unfortunately, there are also many pipes that <em>aren't connected to the loop</em>! This sketch shows the same loop as above:</p>
|
||||
<pre><code>-L|F7
|
||||
7S-7|
|
||||
L|7||
|
||||
-L-J|
|
||||
L|-JF
|
||||
</code></pre>
|
||||
<p>In the above diagram, you can still figure out which pipes form the main loop: they're the ones connected to <code>S</code>, pipes those pipes connect to, pipes <em>those</em> pipes connect to, and so on. Every pipe in the main loop connects to its two neighbors (including <code>S</code>, which will have exactly two pipes connecting to it, and which is assumed to connect back to those two pipes).</p>
|
||||
<p>Here is a sketch that contains a slightly more complex main loop:</p>
|
||||
<pre><code>..F7.
|
||||
.FJ|.
|
||||
SJ.L7
|
||||
|F--J
|
||||
LJ...
|
||||
</code></pre>
|
||||
<p>Here's the same example sketch with the extra, non-main-loop pipe tiles also shown:</p>
|
||||
<pre><code>7-F7-
|
||||
.FJ|7
|
||||
SJLL7
|
||||
|F--J
|
||||
LJ.LJ
|
||||
</code></pre>
|
||||
<p>If you want to <em>get out ahead of the animal</em>, you should find the tile in the loop that is <em>farthest</em> from the starting position. Because the animal is in the pipe, it doesn't make sense to measure this by direct distance. Instead, you need to find the tile that would take the longest number of steps <em>along the loop</em> to reach from the starting point - regardless of which way around the loop the animal went.</p>
|
||||
<p>In the first example with the square loop:</p>
|
||||
<pre><code>.....
|
||||
.S-7.
|
||||
.|.|.
|
||||
.L-J.
|
||||
.....
|
||||
</code></pre>
|
||||
<p>You can count the distance each tile in the loop is from the starting point like this:</p>
|
||||
<pre><code>.....
|
||||
.012.
|
||||
.1.3.
|
||||
.23<em>4</em>.
|
||||
.....
|
||||
</code></pre>
|
||||
<p>In this example, the farthest point from the start is <code><em>4</em></code> steps away.</p>
|
||||
<p>Here's the more complex loop again:</p>
|
||||
<pre><code>..F7.
|
||||
.FJ|.
|
||||
SJ.L7
|
||||
|F--J
|
||||
LJ...
|
||||
</code></pre>
|
||||
<p>Here are the distances for each tile on that loop:</p>
|
||||
<pre><code>..45.
|
||||
.236.
|
||||
01.7<em>8</em>
|
||||
14567
|
||||
23...
|
||||
</code></pre>
|
||||
<p>Find the single giant loop starting at <code>S</code>. <em>How many steps along the loop does it take to get from the starting position to the point farthest from the starting position?</em></p>
|
||||
|
||||
<p>Your puzzle answer was <code>7066</code>.</p><p class="day-success">The first half of this puzzle is complete! It provides one gold star: *</p>
|
||||
<article class="day-desc"><h2 id="part2">--- Part Two ---</h2><p>You quickly reach the farthest point of the loop, but the animal never emerges. Maybe its nest is <em>within the area enclosed by the loop</em>?</p>
|
||||
<p>To determine whether it's even worth taking the time to search for such a nest, you should calculate how many tiles are contained within the loop. For example:</p>
|
||||
<pre><code>...........
|
||||
.S-------7.
|
||||
.|F-----7|.
|
||||
.||.....||.
|
||||
.||.....||.
|
||||
.|L-7.F-J|.
|
||||
.|..|.|..|.
|
||||
.L--J.L--J.
|
||||
...........
|
||||
</code></pre>
|
||||
<p>The above loop encloses merely <em>four tiles</em> - the two pairs of <code>.</code> in the southwest and southeast (marked <code>I</code> below). The middle <code>.</code> tiles (marked <code>O</code> below) are <em>not</em> in the loop. Here is the same loop again with those regions marked:</p>
|
||||
<pre><code>...........
|
||||
.S-------7.
|
||||
.|F-----7|.
|
||||
.||<em>OOOOO</em>||.
|
||||
.||<em>OOOOO</em>||.
|
||||
.|L-7<em>O</em>F-J|.
|
||||
.|<em>II</em>|<em>O</em>|<em>II</em>|.
|
||||
.L--J<em>O</em>L--J.
|
||||
.....<em>O</em>.....
|
||||
</code></pre>
|
||||
<p>In fact, there doesn't even need to be a full tile path to the outside for tiles to count as outside the loop - squeezing between pipes is also allowed! Here, <code>I</code> is still within the loop and <code>O</code> is still outside the loop:</p>
|
||||
<pre><code>..........
|
||||
.S------7.
|
||||
.|F----7|.
|
||||
.||<em>OOOO</em>||.
|
||||
.||<em>OOOO</em>||.
|
||||
.|L-7F-J|.
|
||||
.|<em>II</em>||<em>II</em>|.
|
||||
.L--JL--J.
|
||||
..........
|
||||
</code></pre>
|
||||
<p>In both of the above examples, <code><em>4</em></code> tiles are enclosed by the loop.</p>
|
||||
<p>Here's a larger example:</p>
|
||||
<pre><code>.F----7F7F7F7F-7....
|
||||
.|F--7||||||||FJ....
|
||||
.||.FJ||||||||L7....
|
||||
FJL7L7LJLJ||LJ.L-7..
|
||||
L--J.L7...LJS7F-7L7.
|
||||
....F-J..F7FJ|L7L7L7
|
||||
....L7.F7||L7|.L7L7|
|
||||
.....|FJLJ|FJ|F7|.LJ
|
||||
....FJL-7.||.||||...
|
||||
....L---J.LJ.LJLJ...
|
||||
</code></pre>
|
||||
<p>The above sketch has many random bits of ground, some of which are in the loop (<code>I</code>) and some of which are outside it (<code>O</code>):</p>
|
||||
<pre><code><em>O</em>F----7F7F7F7F-7<em>OOOO</em>
|
||||
<em>O</em>|F--7||||||||FJ<em>OOOO</em>
|
||||
<em>O</em>||<em>O</em>FJ||||||||L7<em>OOOO</em>
|
||||
FJL7L7LJLJ||LJ<em>I</em>L-7<em>OO</em>
|
||||
L--J<em>O</em>L7<em>III</em>LJS7F-7L7<em>O</em>
|
||||
<em>OOOO</em>F-J<em>II</em>F7FJ|L7L7L7
|
||||
<em>OOOO</em>L7<em>I</em>F7||L7|<em>I</em>L7L7|
|
||||
<em>OOOOO</em>|FJLJ|FJ|F7|<em>O</em>LJ
|
||||
<em>OOOO</em>FJL-7<em>O</em>||<em>O</em>||||<em>OOO</em>
|
||||
<em>OOOO</em>L---J<em>O</em>LJ<em>O</em>LJLJ<em>OOO</em>
|
||||
</code></pre>
|
||||
<p>In this larger example, <code><em>8</em></code> tiles are enclosed by the loop.</p>
|
||||
<p>Any tile that isn't part of the main loop can count as being enclosed by the loop. Here's another example with many bits of junk pipe lying around that aren't connected to the main loop at all:</p>
|
||||
<pre><code>FF7FSF7F7F7F7F7F---7
|
||||
L|LJ||||||||||||F--J
|
||||
FL-7LJLJ||||||LJL-77
|
||||
F--JF--7||LJLJ7F7FJ-
|
||||
L---JF-JLJ.||-FJLJJ7
|
||||
|F|F-JF---7F7-L7L|7|
|
||||
|FFJF7L7F-JF7|JL---7
|
||||
7-L-JL7||F7|L7F-7F7|
|
||||
L.L7LFJ|||||FJL7||LJ
|
||||
L7JLJL-JLJLJL--JLJ.L
|
||||
</code></pre>
|
||||
<p>Here are just the tiles that are <em>enclosed by the loop</em> marked with <code>I</code>:</p>
|
||||
<pre><code>FF7FSF7F7F7F7F7F---7
|
||||
L|LJ||||||||||||F--J
|
||||
FL-7LJLJ||||||LJL-77
|
||||
F--JF--7||LJLJ<em>I</em>F7FJ-
|
||||
L---JF-JLJ<em>IIII</em>FJLJJ7
|
||||
|F|F-JF---7<em>III</em>L7L|7|
|
||||
|FFJF7L7F-JF7<em>II</em>L---7
|
||||
7-L-JL7||F7|L7F-7F7|
|
||||
L.L7LFJ|||||FJL7||LJ
|
||||
L7JLJL-JLJLJL--JLJ.L
|
||||
</code></pre>
|
||||
<p>In this last example, <code><em>10</em></code> tiles are enclosed by the loop.</p>
|
||||
<p>Figure out whether you have time to search for the nest by calculating the area within the loop. <em>How many tiles are enclosed by the loop?</em></p>
|
||||
@@ -1,140 +0,0 @@
|
||||
.............................................................................................#..............................................
|
||||
...#....................#............................#......................#........................#...........#................#.........
|
||||
................#.....................................................#..............#.....................#................................
|
||||
................................................................#.......................................................#...................
|
||||
.......#........................#.........................#..............................#.....#............................................
|
||||
............#............................#..................................................................................................
|
||||
......................#........................#......................................................#.....................................
|
||||
....................................#.....................................#.................#..........................................#....
|
||||
................................................................................................................#..............#............
|
||||
...................#.................................................#............................#.........................................
|
||||
............................................#.........#...............................#.................#...................................
|
||||
.....#.....................#..................................................#.............................................................
|
||||
........................................................................#.................#.................................................
|
||||
...............................................................#.....................................................#............#.........
|
||||
..............#.......................#...........................................#.........................................................
|
||||
.......................#.......................#...........................................................#................................
|
||||
.........#........................................................#.........................................................................
|
||||
.........................................................................#................................................................#.
|
||||
............................#..........................#........................#.....#...............................#.....................
|
||||
.....................................#..................................................................#....................#..............
|
||||
#...........................................................................................................................................
|
||||
..........#......................#...........#............#............#....................................................................
|
||||
....................#.........................................................#.................................#...........................
|
||||
.................................................#.............#.....................#..........#......................#..........#.........
|
||||
....................................#.......................................................................................................
|
||||
..........................................#..............................................................................................#..
|
||||
......................#.....................................................................................#.....#.........#...............
|
||||
...........#................#.............................#.............#.....................#.............................................
|
||||
#.................#...............................................#...........#.............................................................
|
||||
.......................................#.................................................#..................................................
|
||||
.....#.......................................#.......................................................#..............................#......#
|
||||
..............#.................#.................#..................#..............#..............................#........................
|
||||
...........................................................................#................................................................
|
||||
.........................#............................#....................................................#................#...............
|
||||
.#..............................................................................#...........................................................
|
||||
.......................................#................................#......................#............................................
|
||||
................#...........#...................#.......................................................................................#...
|
||||
..............................................................#..........................................................#..................
|
||||
.......#......................................................................#.........#.............#.....................................
|
||||
.......................................................#....................................................................................
|
||||
......................#................................................#....................................#.............................#.
|
||||
#.........................................#......................................................................#..........................
|
||||
..................................#................#............................................#.......#...................................
|
||||
.....#.....................#.............................#.............................#....................................................
|
||||
................#...............................................#...........................................................................
|
||||
...............................#................................................#....................#..........................#...........
|
||||
......................................................#....................#................#................#..............................
|
||||
..#..........................................#......................................................................#.......................
|
||||
.............#..............................................................................................................................
|
||||
.......................................................................................................................................#....
|
||||
.......................#..............#...........................#............................#...............#............................
|
||||
.........#..................#...............................................#...........#...................................................
|
||||
......................................................................#........................................................#............
|
||||
..............................................................#....................#...............#......#........#........................
|
||||
..............#...................#.............#.....................................................................................#.....
|
||||
............................................................................................................................................
|
||||
.....................#.....#............#...........#......................................#................................................
|
||||
..........#...................................................................................................................#...........#.
|
||||
...#......................................................................#.....................#................#..........................
|
||||
.............................................#...........................................................................#..................
|
||||
......................................................#...........#................#................#.................................#.....
|
||||
.................................#.....................................#..................#...............#......................#..........
|
||||
............................................................................................................................................
|
||||
.......#..............................................................................................................#.....................
|
||||
.....................#..............#......#.................................................#..............................................
|
||||
..............................#..................................#..............#............................#..............................
|
||||
..........#...............................................#............................#..........................................#.........
|
||||
#.................................................#...................#...........................#.........................................
|
||||
.......................................#....................................................................................................
|
||||
.......#...........................................................................#........................................................
|
||||
................#............................................#............................................#.........#....................#..
|
||||
.......................#........#.........#...............................................................................#.................
|
||||
............................................................................................................................................
|
||||
..#................#........................................................................................................................
|
||||
..........#...........................................#......................................#..............................................
|
||||
............................................................................................................................................
|
||||
.....#.....................................#...................#....................................................................#.......
|
||||
.........................#...........#............#.................................................................#....................#..
|
||||
........................................................#...............#...................................................................
|
||||
............#.................#.................................................#......#..............#.....................................
|
||||
.............................................................................................#................#................#............
|
||||
........................................#.......................#..........................................................................#
|
||||
..#.................#..........................#......................#.............#..............#...................#.............#......
|
||||
............................#............................#................................#......................#..........................
|
||||
.............#.................................................................................#............................................
|
||||
.................................#.........................................#................................................................
|
||||
.........................#.........................#.................................................#........................#.............
|
||||
.......#......................................................#.............................................................................
|
||||
............................................................................................................................................
|
||||
............................................................................................................................................
|
||||
.......................#.........................................................................................#..........................
|
||||
...#...........................#..................................................................#......#................#.................
|
||||
...............................................#................#...........................................................................
|
||||
....................#.................................#.................#.......#..........#........................................#.......
|
||||
...........#.................................................................................................#.............................#
|
||||
.#..................................................................................................#.......................................
|
||||
.....................................#.................................................................................#....................
|
||||
...............#.........#...........................................................#......................................................
|
||||
................................#........................#........#.........................................................................
|
||||
......#..........................................#.............................................................................#............
|
||||
...............................................................................................#.......#....................................
|
||||
...............................................................................................................#............................
|
||||
..............................#...........#............................#.................................................#............#.....
|
||||
...................#...........................#............................................................................................
|
||||
...............................................................#.....................#.....#................................................
|
||||
........#.................#.......................................................................................#...........#.............
|
||||
...............#............................#.........#.......................#...........................#.................................
|
||||
.#...................................#...................................#................................................................#.
|
||||
.........................................................................................#...........................................#......
|
||||
........................#...................................................................................................................
|
||||
....................................................................................................................#.......................
|
||||
........................................#.....#.........#.........#.........................................................................
|
||||
.......................................................................................#............#.......................................
|
||||
.#..............................#.............................................................#........................#.....#.....#........
|
||||
............#...............................................................#.................................#.........................#...
|
||||
..............................................................#.........................................#...................................
|
||||
........................#..............................#...............#........#.........#.................................................
|
||||
...................#........................#.......................................................................#.......................
|
||||
.......................................#...................................................................#................................
|
||||
..............#..................#..............#...................................................................................#.......
|
||||
........#......................................................#..............#.................#.........................................#.
|
||||
....................................................................#.......................................................#...............
|
||||
.............................#..........................................................................#...................................
|
||||
.................#..................................................................#.......................................................
|
||||
............................................#..........................#............................................#..............#........
|
||||
......#..............#..........................................#...........#..............................#................................
|
||||
............#.....................#.................................................................#.......................................
|
||||
...........................#.............#...............#..................................................................#...............
|
||||
#....................................................................................................................................#......
|
||||
.............................................................#.....................#........................................................
|
||||
.......#..........................................#.................#....................................#........#.......................#.
|
||||
..........................................................................................#.................................................
|
||||
..........................#..............................................#......................#...........................................
|
||||
...............................#.....................#..........................#.............................#.............................
|
||||
....#......#................................................#..........................#.......................................#............
|
||||
..................#.............................#...........................................................................................
|
||||
...........................................#..................................................#.............................................
|
||||
.......................#...........................................#...................................................#...................#
|
||||
.......#......#.............#.........................#..................#..............................#...........................#.......
|
||||
..#..............................................................................................................#..........................
|
||||
@@ -1,89 +0,0 @@
|
||||
|
||||
<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>
|
||||
<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>
|
||||
<p>Maybe you can help him with the analysis to speed things up?</p>
|
||||
<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>
|
||||
<pre><code>...#......
|
||||
.......#..
|
||||
#.........
|
||||
..........
|
||||
......#...
|
||||
.#........
|
||||
.........#
|
||||
..........
|
||||
.......#..
|
||||
#...#.....
|
||||
</code></pre>
|
||||
<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>
|
||||
<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>
|
||||
<p>In the above example, three columns and two rows contain no galaxies:</p>
|
||||
<pre><code> v v v
|
||||
...#......
|
||||
.......#..
|
||||
#.........
|
||||
>..........<
|
||||
......#...
|
||||
.#........
|
||||
.........#
|
||||
>..........<
|
||||
.......#..
|
||||
#...#.....
|
||||
^ ^ ^
|
||||
</code></pre>
|
||||
<p>These rows and columns need to be <em>twice as big</em>; the result of cosmic expansion therefore looks like this:</p>
|
||||
<pre><code>....#........
|
||||
.........#...
|
||||
#............
|
||||
.............
|
||||
.............
|
||||
........#....
|
||||
.#...........
|
||||
............#
|
||||
.............
|
||||
.............
|
||||
.........#...
|
||||
#....#.......
|
||||
</code></pre>
|
||||
<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>
|
||||
<pre><code>....1........
|
||||
.........2...
|
||||
3............
|
||||
.............
|
||||
.............
|
||||
........4....
|
||||
.5...........
|
||||
............6
|
||||
.............
|
||||
.............
|
||||
.........7...
|
||||
8....9.......
|
||||
</code></pre>
|
||||
<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>
|
||||
<p>For example, here is one of the shortest paths between galaxies <code>5</code> and <code>9</code>:</p>
|
||||
<pre><code>....1........
|
||||
.........2...
|
||||
3............
|
||||
.............
|
||||
.............
|
||||
........4....
|
||||
.5...........
|
||||
.##.........6
|
||||
..##.........
|
||||
...##........
|
||||
....##...7...
|
||||
8....9.......
|
||||
</code></pre>
|
||||
<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>
|
||||
<ul>
|
||||
<li>Between galaxy <code>1</code> and galaxy <code>7</code>: 15</li>
|
||||
<li>Between galaxy <code>3</code> and galaxy <code>6</code>: 17</li>
|
||||
<li>Between galaxy <code>8</code> and galaxy <code>9</code>: 5</li>
|
||||
</ul>
|
||||
<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>
|
||||
<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>
|
||||
|
||||
<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>
|
||||
<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>
|
||||
<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>
|
||||
<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>
|
||||
<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>
|
||||
File diff suppressed because it is too large
Load Diff
@@ -1,76 +0,0 @@
|
||||
|
||||
<article class="day-desc"><h2>--- Day 12: Hot Springs ---</h2><p>You finally reach the hot springs! You can see steam rising from secluded areas attached to the primary, ornate building.</p>
|
||||
<p>As you turn to enter, the <a href="11">researcher</a> stops you. "Wait - I thought you were looking for the hot springs, weren't you?" You indicate that this definitely looks like hot springs to you.</p>
|
||||
<p>"Oh, sorry, common mistake! This is actually the <a href="https://en.wikipedia.org/wiki/Onsen" target="_blank">onsen</a>! The hot springs are next door."</p>
|
||||
<p>You look in the direction the researcher is pointing and suddenly notice the <span title="I love this joke. I'm not sorry.">massive metal helixes</span> towering overhead. "This way!"</p>
|
||||
<p>It only takes you a few more steps to reach the main gate of the massive fenced-off area containing the springs. You go through the gate and into a small administrative building.</p>
|
||||
<p>"Hello! What brings you to the hot springs today? Sorry they're not very hot right now; we're having a <em>lava shortage</em> at the moment." You ask about the missing machine parts for Desert Island.</p>
|
||||
<p>"Oh, all of Gear Island is currently offline! Nothing is being manufactured at the moment, not until we get more lava to heat our forges. And our springs. The springs aren't very springy unless they're hot!"</p>
|
||||
<p>"Say, could you go up and see why the lava stopped flowing? The springs are too cold for normal operation, but we should be able to find one springy enough to launch <em>you</em> up there!"</p>
|
||||
<p>There's just one problem - many of the springs have fallen into disrepair, so they're not actually sure which springs would even be <em>safe</em> to use! Worse yet, their <em>condition records of which springs are damaged</em> (your puzzle input) are also damaged! You'll need to help them repair the damaged records.</p>
|
||||
<p>In the giant field just outside, the springs are arranged into <em>rows</em>. For each row, the condition records show every spring and whether it is <em>operational</em> (<code>.</code>) or <em>damaged</em> (<code>#</code>). This is the part of the condition records that is itself damaged; for some springs, it is simply <em>unknown</em> (<code>?</code>) whether the spring is operational or damaged.</p>
|
||||
<p>However, the engineer that produced the condition records also duplicated some of this information in a different format! After the list of springs for a given row, the size of each <em>contiguous group of damaged springs</em> is listed in the order those groups appear in the row. This list always accounts for every damaged spring, and each number is the entire size of its contiguous group (that is, groups are always separated by at least one operational spring: <code>####</code> would always be <code>4</code>, never <code>2,2</code>).</p>
|
||||
<p>So, condition records with no unknown spring conditions might look like this:</p>
|
||||
<pre><code>#.#.### 1,1,3
|
||||
.#...#....###. 1,1,3
|
||||
.#.###.#.###### 1,3,1,6
|
||||
####.#...#... 4,1,1
|
||||
#....######..#####. 1,6,5
|
||||
.###.##....# 3,2,1
|
||||
</code></pre>
|
||||
<p>However, the condition records are partially damaged; some of the springs' conditions are actually <em>unknown</em> (<code>?</code>). For example:</p>
|
||||
<pre><code>???.### 1,1,3
|
||||
.??..??...?##. 1,1,3
|
||||
?#?#?#?#?#?#?#? 1,3,1,6
|
||||
????.#...#... 4,1,1
|
||||
????.######..#####. 1,6,5
|
||||
?###???????? 3,2,1
|
||||
</code></pre>
|
||||
<p>Equipped with this information, it is your job to figure out <em>how many different arrangements</em> of operational and broken springs fit the given criteria in each row.</p>
|
||||
<p>In the first line (<code>???.### 1,1,3</code>), there is exactly <em>one</em> way separate groups of one, one, and three broken springs (in that order) can appear in that row: the first three unknown springs must be broken, then operational, then broken (<code>#.#</code>), making the whole row <code>#.#.###</code>.</p>
|
||||
<p>The second line is more interesting: <code>.??..??...?##. 1,1,3</code> could be a total of <em>four</em> different arrangements. The last <code>?</code> must always be broken (to satisfy the final contiguous group of three broken springs), and each <code>??</code> must hide exactly one of the two broken springs. (Neither <code>??</code> could be both broken springs or they would form a single contiguous group of two; if that were true, the numbers afterward would have been <code>2,3</code> instead.) Since each <code>??</code> can either be <code>#.</code> or <code>.#</code>, there are four possible arrangements of springs.</p>
|
||||
<p>The last line is actually consistent with <em>ten</em> different arrangements! Because the first number is <code>3</code>, the first and second <code>?</code> must both be <code>.</code> (if either were <code>#</code>, the first number would have to be <code>4</code> or higher). However, the remaining run of unknown spring conditions have many different ways they could hold groups of two and one broken springs:</p>
|
||||
<pre><code>?###???????? 3,2,1
|
||||
.###.##.#...
|
||||
.###.##..#..
|
||||
.###.##...#.
|
||||
.###.##....#
|
||||
.###..##.#..
|
||||
.###..##..#.
|
||||
.###..##...#
|
||||
.###...##.#.
|
||||
.###...##..#
|
||||
.###....##.#
|
||||
</code></pre>
|
||||
<p>In this example, the number of possible arrangements for each row is:</p>
|
||||
<ul>
|
||||
<li><code>???.### 1,1,3</code> - <code><em>1</em></code> arrangement</li>
|
||||
<li><code>.??..??...?##. 1,1,3</code> - <code><em>4</em></code> arrangements</li>
|
||||
<li><code>?#?#?#?#?#?#?#? 1,3,1,6</code> - <code><em>1</em></code> arrangement</li>
|
||||
<li><code>????.#...#... 4,1,1</code> - <code><em>1</em></code> arrangement</li>
|
||||
<li><code>????.######..#####. 1,6,5</code> - <code><em>4</em></code> arrangements</li>
|
||||
<li><code>?###???????? 3,2,1</code> - <code><em>10</em></code> arrangements</li>
|
||||
</ul>
|
||||
<p>Adding all of the possible arrangement counts together produces a total of <code><em>21</em></code> arrangements.</p>
|
||||
<p>For each row, count all of the different arrangements of operational and broken springs that meet the given criteria. <em>What is the sum of those counts?</em></p>
|
||||
|
||||
<p>Your puzzle answer was <code>7307</code>.</p><p class="day-success">The first half of this puzzle is complete! It provides one gold star: *</p>
|
||||
<article class="day-desc"><h2 id="part2">--- Part Two ---</h2><p>As you look out at the field of springs, you feel like there are way more springs than the condition records list. When you examine the records, you discover that they were actually <em>folded up</em> this whole time!</p>
|
||||
<p>To <em>unfold the records</em>, on each row, replace the list of spring conditions with five copies of itself (separated by <code>?</code>) and replace the list of contiguous groups of damaged springs with five copies of itself (separated by <code>,</code>).</p>
|
||||
<p>So, this row:</p>
|
||||
<pre><code>.# 1</code></pre>
|
||||
<p>Would become:</p>
|
||||
<pre><code>.#?.#?.#?.#?.# 1,1,1,1,1</code></pre>
|
||||
<p>The first line of the above example would become:</p>
|
||||
<pre><code>???.###????.###????.###????.###????.### 1,1,3,1,1,3,1,1,3,1,1,3,1,1,3</code></pre>
|
||||
<p>In the above example, after unfolding, the number of possible arrangements for some rows is now much larger:</p>
|
||||
<ul>
|
||||
<li><code>???.### 1,1,3</code> - <code><em>1</em></code> arrangement</li>
|
||||
<li><code>.??..??...?##. 1,1,3</code> - <code><em>16384</em></code> arrangements</li>
|
||||
<li><code>?#?#?#?#?#?#?#? 1,3,1,6</code> - <code><em>1</em></code> arrangement</li>
|
||||
<li><code>????.#...#... 4,1,1</code> - <code><em>16</em></code> arrangements</li>
|
||||
<li><code>????.######..#####. 1,6,5</code> - <code><em>2500</em></code> arrangements</li>
|
||||
<li><code>?###???????? 3,2,1</code> - <code><em>506250</em></code> arrangements</li>
|
||||
</ul>
|
||||
<p>After unfolding, adding all of the possible arrangement counts together produces <code><em>525152</em></code>.</p>
|
||||
<p>Unfold your condition records; <em>what is the new sum of possible arrangement counts?</em></p>
|
||||
File diff suppressed because it is too large
Load Diff
@@ -1,94 +0,0 @@
|
||||
|
||||
<article class="day-desc"><h2>--- Day 13: Point of Incidence ---</h2><p>With your help, the hot springs team locates an appropriate spring which launches you neatly and precisely up to the edge of <em>Lava Island</em>.</p>
|
||||
<p>There's just one problem: you don't see any <em>lava</em>.</p>
|
||||
<p>You <em>do</em> see a lot of ash and igneous rock; there are even what look like gray mountains scattered around. After a while, you make your way to a nearby cluster of mountains only to discover that the valley between them is completely full of large <em>mirrors</em>. Most of the mirrors seem to be aligned in a consistent way; perhaps you should head in that direction?</p>
|
||||
<p>As you move through the valley of mirrors, you find that several of them have fallen from the large metal frames keeping them in place. The mirrors are extremely flat and shiny, and many of the fallen mirrors have lodged into the ash at strange angles. Because the terrain is all one color, it's hard to tell where it's safe to walk or where you're about to run into a mirror.</p>
|
||||
<p>You note down the patterns of ash (<code>.</code>) and rocks (<code>#</code>) that you see as you walk (your puzzle input); perhaps by carefully analyzing these patterns, you can figure out where the mirrors are!</p>
|
||||
<p>For example:</p>
|
||||
<pre><code>#.##..##.
|
||||
..#.##.#.
|
||||
##......#
|
||||
##......#
|
||||
..#.##.#.
|
||||
..##..##.
|
||||
#.#.##.#.
|
||||
|
||||
#...##..#
|
||||
#....#..#
|
||||
..##..###
|
||||
#####.##.
|
||||
#####.##.
|
||||
..##..###
|
||||
#....#..#
|
||||
</code></pre>
|
||||
<p>To find the reflection in each pattern, you need to find a perfect reflection across either a horizontal line between two rows or across a vertical line between two columns.</p>
|
||||
<p>In the first pattern, the reflection is across a vertical line between two columns; arrows on each of the two columns point at the line between the columns:</p>
|
||||
<pre><code>123456789
|
||||
><
|
||||
#.##..##.
|
||||
..#.##.#.
|
||||
##......#
|
||||
##......#
|
||||
..#.##.#.
|
||||
..##..##.
|
||||
#.#.##.#.
|
||||
><
|
||||
123456789
|
||||
</code></pre>
|
||||
<p>In this pattern, the line of reflection is the vertical line between columns 5 and 6. Because the vertical line is not perfectly in the middle of the pattern, part of the pattern (column 1) has nowhere to reflect onto and can be ignored; every other column has a reflected column within the pattern and must match exactly: column 2 matches column 9, column 3 matches 8, 4 matches 7, and 5 matches 6.</p>
|
||||
<p>The second pattern reflects across a horizontal line instead:</p>
|
||||
<pre><code>1 #...##..# 1
|
||||
2 #....#..# 2
|
||||
3 ..##..### 3
|
||||
4v#####.##.v4
|
||||
5^#####.##.^5
|
||||
6 ..##..### 6
|
||||
7 #....#..# 7
|
||||
</code></pre>
|
||||
<p>This pattern reflects across the horizontal line between rows 4 and 5. Row 1 would reflect with a hypothetical row 8, but since that's not in the pattern, row 1 doesn't need to match anything. The remaining rows match: row 2 matches row 7, row 3 matches row 6, and row 4 matches row 5.</p>
|
||||
<p>To <em>summarize</em> your pattern notes, add up <em>the number of columns</em> to the left of each vertical line of reflection; to that, also add <em>100 multiplied by the number of rows</em> above each horizontal line of reflection. In the above example, the first pattern's vertical line has <code>5</code> columns to its left and the second pattern's horizontal line has <code>4</code> rows above it, a total of <code><em>405</em></code>.</p>
|
||||
<p>Find the line of reflection in each of the patterns in your notes. <em>What number do you get after summarizing all of your notes?</em></p>
|
||||
|
||||
<p>Your puzzle answer was <code>27505</code>.</p><p class="day-success">The first half of this puzzle is complete! It provides one gold star: *</p>
|
||||
<article class="day-desc"><h2 id="part2">--- Part Two ---</h2><p>You resume walking through the valley of mirrors and - <em>SMACK!</em> - run directly into one. Hopefully <span title="Sorry, Nobody saw that.">nobody</span> was watching, because that must have been pretty embarrassing.</p>
|
||||
<p>Upon closer inspection, you discover that every mirror has exactly one <em>smudge</em>: exactly one <code>.</code> or <code>#</code> should be the opposite type.</p>
|
||||
<p>In each pattern, you'll need to locate and fix the smudge that causes a <em>different reflection line</em> to be valid. (The old reflection line won't necessarily continue being valid after the smudge is fixed.)</p>
|
||||
<p>Here's the above example again:</p>
|
||||
<pre><code>#.##..##.
|
||||
..#.##.#.
|
||||
##......#
|
||||
##......#
|
||||
..#.##.#.
|
||||
..##..##.
|
||||
#.#.##.#.
|
||||
|
||||
#...##..#
|
||||
#....#..#
|
||||
..##..###
|
||||
#####.##.
|
||||
#####.##.
|
||||
..##..###
|
||||
#....#..#
|
||||
</code></pre>
|
||||
<p>The first pattern's smudge is in the top-left corner. If the top-left <code>#</code> were instead <code>.</code>, it would have a different, horizontal line of reflection:</p>
|
||||
<pre><code>1 ..##..##. 1
|
||||
2 ..#.##.#. 2
|
||||
3v##......#v3
|
||||
4^##......#^4
|
||||
5 ..#.##.#. 5
|
||||
6 ..##..##. 6
|
||||
7 #.#.##.#. 7
|
||||
</code></pre>
|
||||
<p>With the smudge in the top-left corner repaired, a new horizontal line of reflection between rows 3 and 4 now exists. Row 7 has no corresponding reflected row and can be ignored, but every other row matches exactly: row 1 matches row 6, row 2 matches row 5, and row 3 matches row 4.</p>
|
||||
<p>In the second pattern, the smudge can be fixed by changing the fifth symbol on row 2 from <code>.</code> to <code>#</code>:</p>
|
||||
<pre><code>1v#...##..#v1
|
||||
2^#...##..#^2
|
||||
3 ..##..### 3
|
||||
4 #####.##. 4
|
||||
5 #####.##. 5
|
||||
6 ..##..### 6
|
||||
7 #....#..# 7
|
||||
</code></pre>
|
||||
<p>Now, the pattern has a different horizontal line of reflection between rows 1 and 2.</p>
|
||||
<p>Summarize your notes as before, but instead use the new different reflection lines. In this example, the first pattern's new horizontal line has 3 rows above it and the second pattern's new horizontal line has 1 row above it, summarizing to the value <code><em>400</em></code>.</p>
|
||||
<p>In each pattern, fix the smudge and find the different line of reflection. <em>What number do you get after summarizing the new reflection line in each pattern in your notes?</em></p>
|
||||
@@ -1,100 +0,0 @@
|
||||
O....##.##.....OO...O.O......#.OO.#.#....#.#..#..##....###..O.....O#..#.#.......O.#.##...O#OO.O....O
|
||||
.#..OOO..#.#..O..O...O.#.......O..O....##..O##O..#..#.......O.O.#....O...O#.O#OOO...O...#O.#......O.
|
||||
..#O...#O.......##.O.O..O#..OO..O...#.O...O.#...#.OOO.OO.O......#.....#.O..##.O.#.#...O.O#..#..#O.#.
|
||||
O####.O.#.O...#..#...O.......#....#..O....OO#...O..##...#..##..O..####..OO.O..O.#OO..O.O..O##O.....#
|
||||
OO..O.##..#.O##O.....#..#O#.O...#.......#O#...#.O....#..O.O.....O#.OO....O......O#O.#..O..OO.O.O....
|
||||
..#O.O...O...O..O.OO.O#OO...#......#.....O.#.....#.....O##.#......#O..OO.......#..#..O...#.......O.O
|
||||
.O...#.......OO..O.....#....#.#.O.........#....#......#.OO...O.........O.O.O....O..#..#O..##...#.O..
|
||||
O#......#.O....#.O.#....#....O.......#O.O#O..O..#...#.O.#..O.OO...O..O....#O#OOOO................#..
|
||||
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|
||||
..O.....OO.O#..#O#.....#......OOOO#..#.O.#.#..O..O.....O.O.#....#O...O...O.OO......#O#.#.##......O.O
|
||||
.#.#............OO...O.OOO#O..#.#O#.O.#O#.O.O.....#.O..........#.....O#..O...O#.....O......##O..#OO.
|
||||
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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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|
||||
..OO.O...#..OO#.OO..O......##......O.#...#....O.OO..O...#.......#O##..OO....OO.O..#.O...#O..#.#O....
|
||||
O...O.#.O..#.OOO...........O..#.#....OO..OO.O....O#O#O#..OOOO....OOO.OOO#....#....O#..O#.O.#....O...
|
||||
.......O.....O..O.#...O.#...#O.O..#......#...O#OOOO#..OOO..#..O....#...O..O..O.#....O.O.O.O...#O....
|
||||
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|
||||
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|
||||
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|
||||
..O##....#....O.#.O#O##.OOOOO..O.#..#...O..#...#.##.#O.....#..O..O.O#...#.O..#....#O.#........O#...#
|
||||
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|
||||
........OO.O.#.#.O...............O......O...O....#........O..O....O..O.....O.O..O.O.O#O#.O..##......
|
||||
O..O.......#O..O..O.O....O......O##.#...O##..#...O.O#.#.O..O.O#.#.....O...O#.#.#.....O.....#.#......
|
||||
.#......O..O..#O....O...O...O.......#..#..#.O...##..#......O.O.OOOO...##..#.OO......#O.O.O#...O.##O#
|
||||
..OOO...#.O.O..#.#..O....##.O....#.O..OO#.O.......O..##O##.#OO.....#.....#.....O.#O.OO#....#O..OO.O.
|
||||
..O#OO#.#....O.#..O.#OO#.#...O.#.#.OO....O..O.#...#..O..OO.#.O#..##.#......#O.#.#..O..O...OO#..OOO..
|
||||
#.#OO.....O...O......O............O...###..O.#.OO...O...#...O.....##OO#.......#...#.OO.#...#....#...
|
||||
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|
||||
.#..O.O.O.O.#.O##O..#..O...........O..........OO#.#..O...#O....#OO...O.#.....O.OOOO....O.......#O.#.
|
||||
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|
||||
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|
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O...#.O..O....#.O....#...#.O....#.O..##.O.O#.O#O.O.....O.#OO#.#O......#.O..#.#..#........O.O...O..O#
|
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|
||||
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|
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|
||||
OO.#O....OO#........O.O.#..#..O#.O.OO#O...O.#.O........O##.OO..O..#..O........O#.#O.............O...
|
||||
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|
||||
#....#...#....#.#O......##O.....#.#........#.O....OO#..OO.#....OO..#....O....OO..#..##......#O.O.#..
|
||||
O####O.##....####O..#.#.OO.O..#O#O...O.OOO...#O##..##......O...O..OO..#.O#O...O.#O........O.....#..#
|
||||
...OOO.O.....O..#.O.....O.OO...OOO#O.........O...O..#...#OO.....#..O....#....#.......##.....#...#.O#
|
||||
#.....O#..O#.#.....#..O......#..O.......O##.....##.##O..OO##.OO#..##......O......O....O....O#....O..
|
||||
O....OO......O.....O...O#.O..#.#...#....#..#....OO.O##O..##O..O#.O.#.OO#.OOO....#.OO..#O..O..#..##..
|
||||
O.O#.#OO..O..O...OO......OO.......#.O#O.O#....#.O#O..O#.#...O#..O...O....O.#OO#.#..O.##..O.....#..OO
|
||||
.##.O...O.O..O....OO...O#....OO..#.....#.....OO##.#.O.#......#.O...O..O...##..#O.....#.O....#O......
|
||||
.OO#..O.O.....#.O.OO.##..#.....O......O..OO...O.O.O##OO.#O...O..O..O#...OO..O.....#.............O.OO
|
||||
..O....#O..##.O..#...O#..#.OO....##.O.....#..##.O...#.O...O.#O.OO..#O...O##.O.......#.O.#.O..#O.....
|
||||
.##..........O..#.#.........O....O..O#..##.#..#..O#OO..#..#O...O#O.#..#.#.O.OO......O###.....O.O....
|
||||
...#O..O..O#..O#..O#...OO.O.O.#.OO..#.#..#.#.......O.O..#OO#..O....O...#O#..#O....O.#O.#..#.#..O...#
|
||||
OO###....OO..#.##OO......#..O###..O.....O.O.#...OO..#O....OO..#O..#.#..OO.#.....O......OOO........OO
|
||||
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|
||||
##O#...#...O.O#..O..O.#.OOO..O..##....#....##.O.#.O....O.#....O##...OO..O..#..O.O.#.....#OOO.O..O...
|
||||
.O.....#....O#.O......#O...#.#.#...O.#..O.O..#...O.#O..O..O......#...........O##..O#O.#.#.#.........
|
||||
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|
||||
.#..........O.....#O#O....O.OO.#..#...#..O.#...O.#.#.O#O....#O.O..#.....##O#.#.O..#O....O.##...#.O.O
|
||||
.O....O....O##.O...O....O....O....O..O............#O...#.#...OOO....O#.....O#...##.......O.#........
|
||||
.#.......OOO#............OO..........O.#...O..OO....#..O.#...##.O#....O..O.#.O#O##.O.O...#.#O#.O.O..
|
||||
.#..#.#...........O.#..##..OO#.O..O..O.#OO##O.O..OOO....OO..#OO..#..###..O....##...........#O.###.O.
|
||||
O....O..O...#........O.#OOOOO#.O.....O.#...O.OOO#.#......#.OO#.#.O..#..#O....##....#.###...#.###..#.
|
||||
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|
||||
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|
||||
O.##.OO.O.O.O...O..O..O...O.O...O.#..O...###....O..O##O#....OO.......#....#OO....#.#.......O....OO#O
|
||||
.O......OO.....##...##.#..#..........##O..#.O#.#....#...#.OO..O.....#...O.......##.OO##....O..OO....
|
||||
O....O#.....#.OO..O#..OO.OO#..O...O.O.OO.O.O.#...O.#OO..O#.....#.#.....#..O....O...........O#.#.#...
|
||||
#..#.#..#.....#O.O.#####........O..#......#O......##.........#....#.#O.#.O...O.#..O.O..#O.#O..OO..#O
|
||||
...O..O...O.OOOO.O#O###..O...#..#.......O#......O..O#O.OO.#..#.O.O...O....O.....###...#......##....O
|
||||
..#.#O........O#O..##OOO....O##.#..O...#.O.O##..#OO.....#OO.#......O...#...#.O.#.O#.....O...O...##.#
|
||||
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|
||||
..O..OO..O..O#....O...#....OO#O.......O....O..##O.O.O#..#O#....#..O.....#O.#.O#....##....O......#...
|
||||
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|
||||
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|
||||
.#.O..#...O.#.O.OO###.#.OO#..O.#OO.#.#.#....O...#O#..OOOO#.......#.O...OO.....O#.#...##.............
|
||||
.#.#.OO....O.........O..##O.#.O........O.#O.O##...O....O.O.#OOO....OO.O..O.OO...O..#OO...#......#..#
|
||||
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|
||||
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|
||||
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|
||||
.#.OO......O#.#...OO.#..O....O#O.O#..........O......#.#.O....O...O.#O.#OO........#..#...##..#....OOO
|
||||
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|
||||
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|
||||
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|
||||
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|
||||
...#O...O.#...OOOO.#O..O.O#.....#.#.....O..#.....O.#.O......O.##O.O..O........#.........#O..O#..#...
|
||||
#.#.#O#.O..#O.#O..#.##..O#.O..#.O.OOO...........O..O.O.#O..#....O....#O.##O.##O......O..OOO...#O...O
|
||||
O.#O##.....#.O.O.OO.O..O....O...#O...........O.##O##...OO...##.#.#.#.#.O..O...#......O...O.#..#.#.O.
|
||||
.OO....O.....#O.O........O#.......O...O.O##O..#....O.#O.#.O.....##..#...#.OO.O.O..##...#O.OOO#O..#.#
|
||||
##O#OOO.##...#.O...#....#...O#.....O....#.OOO.O.##..OO.OO...O.O.O..O.O..#.#.#.##...O...#..#.#.O.....
|
||||
..O#..#OOO#....O...#.O.#...#....#...#....O..........O.O#.....O.....O.OO...O.#.......O.#...O.........
|
||||
#..#.#.O#.OO.O...O..#....#.O..OO.....#..O...O.#.#...OO....O#..O....###...###..O.O.O.O.O..OOO.....OO.
|
||||
#..#..#.O..#..O.O..O#....##O.OO.O#OO.......O........#..O..#.O..#.#OOOO...O..#OOO....#..#..OOO......O
|
||||
.#O.#.#.#...#OOO.OO..#O.##.....O..#O.##.O.O.O..OOO#....O.##......OOOOOO...O..O......#...#.O...O.#...
|
||||
#O..O.O###...##O...O........##.O#....#O..O.O.O#.#OO##O.O.O#.#.##O.OO........O.........###O.O.#O#OO#O
|
||||
O..#O......#.#O...O#...#####..#O#...O.##OO......O.....O.......O.O.#..O.O...........#OO..#..OOO....#.
|
||||
....O.O#..#O#.#....#O.O##..#...O...#O.#.#.##O...OO....O..#..OO#........#O.........#O..O.#..OO.......
|
||||
#..##.#.O#O..#O..OO...#.....#..O#..O....O#.....OO.O......O..#....O.##O#O...O....#..O.......O....O.##
|
||||
#....#O..#O.O..#....OO#.#OO...O..O.......O..#......#.......#.O.#..OO..O........OO.......#O.O.#O....O
|
||||
@@ -1,88 +0,0 @@
|
||||
|
||||
<article class="day-desc"><h2>--- Day 14: Parabolic Reflector Dish ---</h2><p>You reach the place where all of the mirrors were pointing: a massive <a href="https://en.wikipedia.org/wiki/Parabolic_reflector" target="_blank">parabolic reflector dish</a> <span title="Why, where do you attach YOUR massive parabolic reflector dishes?">attached</span> to the side of another large mountain.</p>
|
||||
<p>The dish is made up of many small mirrors, but while the mirrors themselves are roughly in the shape of a parabolic reflector dish, each individual mirror seems to be pointing in slightly the wrong direction. If the dish is meant to focus light, all it's doing right now is sending it in a vague direction.</p>
|
||||
<p>This system must be what provides the energy for the lava! If you focus the reflector dish, maybe you can go where it's pointing and use the light to fix the lava production.</p>
|
||||
<p>Upon closer inspection, the individual mirrors each appear to be connected via an elaborate system of ropes and pulleys to a large metal platform below the dish. The platform is covered in large rocks of various shapes. Depending on their position, the weight of the rocks deforms the platform, and the shape of the platform controls which ropes move and ultimately the focus of the dish.</p>
|
||||
<p>In short: if you move the rocks, you can focus the dish. The platform even has a control panel on the side that lets you <em>tilt</em> it in one of four directions! The rounded rocks (<code>O</code>) will roll when the platform is tilted, while the cube-shaped rocks (<code>#</code>) will stay in place. You note the positions of all of the empty spaces (<code>.</code>) and rocks (your puzzle input). For example:</p>
|
||||
<pre><code>O....#....
|
||||
O.OO#....#
|
||||
.....##...
|
||||
OO.#O....O
|
||||
.O.....O#.
|
||||
O.#..O.#.#
|
||||
..O..#O..O
|
||||
.......O..
|
||||
#....###..
|
||||
#OO..#....
|
||||
</code></pre>
|
||||
<p>Start by tilting the lever so all of the rocks will slide <em>north</em> as far as they will go:</p>
|
||||
<pre><code>OOOO.#.O..
|
||||
OO..#....#
|
||||
OO..O##..O
|
||||
O..#.OO...
|
||||
........#.
|
||||
..#....#.#
|
||||
..O..#.O.O
|
||||
..O.......
|
||||
#....###..
|
||||
#....#....
|
||||
</code></pre>
|
||||
<p>You notice that the support beams along the north side of the platform are <em>damaged</em>; to ensure the platform doesn't collapse, you should calculate the <em>total load</em> on the north support beams.</p>
|
||||
<p>The amount of load caused by a single rounded rock (<code>O</code>) is equal to the number of rows from the rock to the south edge of the platform, including the row the rock is on. (Cube-shaped rocks (<code>#</code>) don't contribute to load.) So, the amount of load caused by each rock in each row is as follows:</p>
|
||||
<pre><code>OOOO.#.O.. 10
|
||||
OO..#....# 9
|
||||
OO..O##..O 8
|
||||
O..#.OO... 7
|
||||
........#. 6
|
||||
..#....#.# 5
|
||||
..O..#.O.O 4
|
||||
..O....... 3
|
||||
#....###.. 2
|
||||
#....#.... 1
|
||||
</code></pre>
|
||||
<p>The total load is the sum of the load caused by all of the <em>rounded rocks</em>. In this example, the total load is <code><em>136</em></code>.</p>
|
||||
<p>Tilt the platform so that the rounded rocks all roll north. Afterward, <em>what is the total load on the north support beams?</em></p>
|
||||
|
||||
<p>Your puzzle answer was <code>106378</code>.</p><p class="day-success">The first half of this puzzle is complete! It provides one gold star: *</p>
|
||||
<article class="day-desc"><h2 id="part2">--- Part Two ---</h2><p>The parabolic reflector dish deforms, but not in a way that focuses the beam. To do that, you'll need to move the rocks to the edges of the platform. Fortunately, a button on the side of the control panel labeled "<em>spin cycle</em>" attempts to do just that!</p>
|
||||
<p>Each <em>cycle</em> tilts the platform four times so that the rounded rocks roll <em>north</em>, then <em>west</em>, then <em>south</em>, then <em>east</em>. After each tilt, the rounded rocks roll as far as they can before the platform tilts in the next direction. After one cycle, the platform will have finished rolling the rounded rocks in those four directions in that order.</p>
|
||||
<p>Here's what happens in the example above after each of the first few cycles:</p>
|
||||
<pre><code>After 1 cycle:
|
||||
.....#....
|
||||
....#...O#
|
||||
...OO##...
|
||||
.OO#......
|
||||
.....OOO#.
|
||||
.O#...O#.#
|
||||
....O#....
|
||||
......OOOO
|
||||
#...O###..
|
||||
#..OO#....
|
||||
|
||||
After 2 cycles:
|
||||
.....#....
|
||||
....#...O#
|
||||
.....##...
|
||||
..O#......
|
||||
.....OOO#.
|
||||
.O#...O#.#
|
||||
....O#...O
|
||||
.......OOO
|
||||
#..OO###..
|
||||
#.OOO#...O
|
||||
|
||||
After 3 cycles:
|
||||
.....#....
|
||||
....#...O#
|
||||
.....##...
|
||||
..O#......
|
||||
.....OOO#.
|
||||
.O#...O#.#
|
||||
....O#...O
|
||||
.......OOO
|
||||
#...O###.O
|
||||
#.OOO#...O
|
||||
</code></pre>
|
||||
<p>This process should work if you leave it running long enough, but you're still worried about the north support beams. To make sure they'll survive for a while, you need to calculate the <em>total load</em> on the north support beams after <code>1000000000</code> cycles.</p>
|
||||
<p>In the above example, after <code>1000000000</code> cycles, the total load on the north support beams is <code><em>64</em></code>.</p>
|
||||
<p>Run the spin cycle for <code>1000000000</code> cycles. Afterward, <em>what is the total load on the north support beams?</em></p>
|
||||
File diff suppressed because one or more lines are too long
@@ -1,135 +0,0 @@
|
||||
|
||||
<article class="day-desc"><h2>--- Day 15: Lens Library ---</h2><p>The newly-focused parabolic reflector dish is sending all of the collected light to a point on the side of yet another mountain - the largest mountain on Lava Island. As you approach the mountain, you find that the light is being collected by the wall of a large facility embedded in the mountainside.</p>
|
||||
<p>You find a door under a large sign that says "Lava Production Facility" and next to a smaller sign that says "Danger - Personal Protective Equipment required beyond this point".</p>
|
||||
<p>As you step inside, you are immediately greeted by a somewhat panicked <span title="do you like my hard hat">reindeer</span> wearing goggles and a loose-fitting <a href="https://en.wikipedia.org/wiki/Hard_hat" target="_blank">hard hat</a>. The reindeer leads you to a shelf of goggles and hard hats (you quickly find some that fit) and then further into the facility. At one point, you pass a button with a faint snout mark and the label "PUSH FOR HELP". No wonder you were loaded into that <a href="1">trebuchet</a> so quickly!</p>
|
||||
<p>You pass through a final set of doors surrounded with even more warning signs and into what must be the room that collects all of the light from outside. As you admire the large assortment of lenses available to further focus the light, the reindeer brings you a book titled "Initialization Manual".</p>
|
||||
<p>"Hello!", the book cheerfully begins, apparently unaware of the concerned reindeer reading over your shoulder. "This procedure will let you bring the Lava Production Facility online - all without burning or melting anything unintended!"</p>
|
||||
<p>"Before you begin, please be prepared to use the Holiday ASCII String Helper algorithm (appendix 1A)." You turn to appendix 1A. The reindeer leans closer with interest.</p>
|
||||
<p>The HASH algorithm is a way to turn any <a href="https://en.wikipedia.org/wiki/String_(computer_science)" target="_blank">string</a> of characters into a single <em>number</em> in the range 0 to 255. To run the HASH algorithm on a string, start with a <em>current value</em> of <code>0</code>. Then, for each character in the string starting from the beginning:</p>
|
||||
<ul>
|
||||
<li>Determine the <a href="https://en.wikipedia.org/wiki/ASCII#Printable_characters" target="_blank">ASCII code</a> for the current character of the string.</li>
|
||||
<li>Increase the <em>current value</em> by the ASCII code you just determined.</li>
|
||||
<li>Set the <em>current value</em> to itself multiplied by <code>17</code>.</li>
|
||||
<li>Set the <em>current value</em> to the <a href="https://en.wikipedia.org/wiki/Modulo" target="_blank">remainder</a> of dividing itself by <code>256</code>.</li>
|
||||
</ul>
|
||||
<p>After following these steps for each character in the string in order, the <em>current value</em> is the output of the HASH algorithm.</p>
|
||||
<p>So, to find the result of running the HASH algorithm on the string <code>HASH</code>:</p>
|
||||
<ul>
|
||||
<li>The <em>current value</em> starts at <code>0</code>.</li>
|
||||
<li>The first character is <code>H</code>; its ASCII code is <code>72</code>.</li>
|
||||
<li>The <em>current value</em> increases to <code>72</code>.</li>
|
||||
<li>The <em>current value</em> is multiplied by <code>17</code> to become <code>1224</code>.</li>
|
||||
<li>The <em>current value</em> becomes <code><em>200</em></code> (the remainder of <code>1224</code> divided by <code>256</code>).</li>
|
||||
<li>The next character is <code>A</code>; its ASCII code is <code>65</code>.</li>
|
||||
<li>The <em>current value</em> increases to <code>265</code>.</li>
|
||||
<li>The <em>current value</em> is multiplied by <code>17</code> to become <code>4505</code>.</li>
|
||||
<li>The <em>current value</em> becomes <code><em>153</em></code> (the remainder of <code>4505</code> divided by <code>256</code>).</li>
|
||||
<li>The next character is <code>S</code>; its ASCII code is <code>83</code>.</li>
|
||||
<li>The <em>current value</em> increases to <code>236</code>.</li>
|
||||
<li>The <em>current value</em> is multiplied by <code>17</code> to become <code>4012</code>.</li>
|
||||
<li>The <em>current value</em> becomes <code><em>172</em></code> (the remainder of <code>4012</code> divided by <code>256</code>).</li>
|
||||
<li>The next character is <code>H</code>; its ASCII code is <code>72</code>.</li>
|
||||
<li>The <em>current value</em> increases to <code>244</code>.</li>
|
||||
<li>The <em>current value</em> is multiplied by <code>17</code> to become <code>4148</code>.</li>
|
||||
<li>The <em>current value</em> becomes <code><em>52</em></code> (the remainder of <code>4148</code> divided by <code>256</code>).</li>
|
||||
</ul>
|
||||
<p>So, the result of running the HASH algorithm on the string <code>HASH</code> is <code><em>52</em></code>.</p>
|
||||
<p>The <em>initialization sequence</em> (your puzzle input) is a comma-separated list of steps to start the Lava Production Facility. <em>Ignore newline characters</em> when parsing the initialization sequence. To verify that your HASH algorithm is working, the book offers the sum of the result of running the HASH algorithm on each step in the initialization sequence.</p>
|
||||
<p>For example:</p>
|
||||
<pre><code>rn=1,cm-,qp=3,cm=2,qp-,pc=4,ot=9,ab=5,pc-,pc=6,ot=7</code></pre>
|
||||
<p>This initialization sequence specifies 11 individual steps; the result of running the HASH algorithm on each of the steps is as follows:</p>
|
||||
<ul>
|
||||
<li><code>rn=1</code> becomes <code><em>30</em></code>.</li>
|
||||
<li><code>cm-</code> becomes <code><em>253</em></code>.</li>
|
||||
<li><code>qp=3</code> becomes <code><em>97</em></code>.</li>
|
||||
<li><code>cm=2</code> becomes <code><em>47</em></code>.</li>
|
||||
<li><code>qp-</code> becomes <code><em>14</em></code>.</li>
|
||||
<li><code>pc=4</code> becomes <code><em>180</em></code>.</li>
|
||||
<li><code>ot=9</code> becomes <code><em>9</em></code>.</li>
|
||||
<li><code>ab=5</code> becomes <code><em>197</em></code>.</li>
|
||||
<li><code>pc-</code> becomes <code><em>48</em></code>.</li>
|
||||
<li><code>pc=6</code> becomes <code><em>214</em></code>.</li>
|
||||
<li><code>ot=7</code> becomes <code><em>231</em></code>.</li>
|
||||
</ul>
|
||||
<p>In this example, the sum of these results is <code><em>1320</em></code>. Unfortunately, the reindeer has stolen the page containing the expected verification number and is currently running around the facility with it excitedly.</p>
|
||||
<p>Run the HASH algorithm on each step in the initialization sequence. <em>What is the sum of the results?</em> (The initialization sequence is one long line; be careful when copy-pasting it.)</p>
|
||||
|
||||
<p>Your puzzle answer was <code>497373</code>.</p><p class="day-success">The first half of this puzzle is complete! It provides one gold star: *</p>
|
||||
<article class="day-desc"><h2 id="part2">--- Part Two ---</h2><p>You convince the reindeer to bring you the page; the page confirms that your HASH algorithm is working.</p>
|
||||
<p>The book goes on to describe a series of 256 <em>boxes</em> numbered <code>0</code> through <code>255</code>. The boxes are arranged in a line starting from the point where light enters the facility. The boxes have holes that allow light to pass from one box to the next all the way down the line.</p>
|
||||
<pre><code> +-----+ +-----+ +-----+
|
||||
Light | Box | | Box | ... | Box |
|
||||
----------------------------------------->
|
||||
| 0 | | 1 | ... | 255 |
|
||||
+-----+ +-----+ +-----+
|
||||
</code></pre>
|
||||
<p>Inside each box, there are several <em>lens slots</em> that will keep a lens correctly positioned to focus light passing through the box. The side of each box has a panel that opens to allow you to insert or remove lenses as necessary.</p>
|
||||
<p>Along the wall running parallel to the boxes is a large library containing lenses organized by <em>focal length</em> ranging from <code>1</code> through <code>9</code>. The reindeer also brings you a small handheld <a href="https://en.wikipedia.org/wiki/Label_printer" target="_blank">label printer</a>.</p>
|
||||
<p>The book goes on to explain how to perform each step in the initialization sequence, a process it calls the Holiday ASCII String Helper Manual Arrangement Procedure, or <em>HASHMAP</em> for short.</p>
|
||||
<p>Each step begins with a sequence of letters that indicate the <em>label</em> of the lens on which the step operates. The result of running the HASH algorithm on the label indicates the correct box for that step.</p>
|
||||
<p>The label will be immediately followed by a character that indicates the <em>operation</em> to perform: either an equals sign (<code>=</code>) or a dash (<code>-</code>).</p>
|
||||
<p>If the operation character is a <em>dash</em> (<code>-</code>), go to the relevant box and remove the lens with the given label if it is present in the box. Then, move any remaining lenses as far forward in the box as they can go without changing their order, filling any space made by removing the indicated lens. (If no lens in that box has the given label, nothing happens.)</p>
|
||||
<p>If the operation character is an <em>equals sign</em> (<code>=</code>), it will be followed by a number indicating the <em>focal length</em> of the lens that needs to go into the relevant box; be sure to use the label maker to mark the lens with the label given in the beginning of the step so you can find it later. There are two possible situations:</p>
|
||||
<ul>
|
||||
<li>If there is already a lens in the box with the same label, <em>replace the old lens</em> with the new lens: remove the old lens and put the new lens in its place, not moving any other lenses in the box.</li>
|
||||
<li>If there is <em>not</em> already a lens in the box with the same label, add the lens to the box immediately behind any lenses already in the box. Don't move any of the other lenses when you do this. If there aren't any lenses in the box, the new lens goes all the way to the front of the box.</li>
|
||||
</ul>
|
||||
<p>Here is the contents of every box after each step in the example initialization sequence above:</p>
|
||||
<pre><code>After "rn=1":
|
||||
Box 0: [rn 1]
|
||||
|
||||
After "cm-":
|
||||
Box 0: [rn 1]
|
||||
|
||||
After "qp=3":
|
||||
Box 0: [rn 1]
|
||||
Box 1: [qp 3]
|
||||
|
||||
After "cm=2":
|
||||
Box 0: [rn 1] [cm 2]
|
||||
Box 1: [qp 3]
|
||||
|
||||
After "qp-":
|
||||
Box 0: [rn 1] [cm 2]
|
||||
|
||||
After "pc=4":
|
||||
Box 0: [rn 1] [cm 2]
|
||||
Box 3: [pc 4]
|
||||
|
||||
After "ot=9":
|
||||
Box 0: [rn 1] [cm 2]
|
||||
Box 3: [pc 4] [ot 9]
|
||||
|
||||
After "ab=5":
|
||||
Box 0: [rn 1] [cm 2]
|
||||
Box 3: [pc 4] [ot 9] [ab 5]
|
||||
|
||||
After "pc-":
|
||||
Box 0: [rn 1] [cm 2]
|
||||
Box 3: [ot 9] [ab 5]
|
||||
|
||||
After "pc=6":
|
||||
Box 0: [rn 1] [cm 2]
|
||||
Box 3: [ot 9] [ab 5] [pc 6]
|
||||
|
||||
After "ot=7":
|
||||
Box 0: [rn 1] [cm 2]
|
||||
Box 3: [ot 7] [ab 5] [pc 6]
|
||||
</code></pre>
|
||||
<p>All 256 boxes are always present; only the boxes that contain any lenses are shown here. Within each box, lenses are listed from front to back; each lens is shown as its label and focal length in square brackets.</p>
|
||||
<p>To confirm that all of the lenses are installed correctly, add up the <em>focusing power</em> of all of the lenses. The focusing power of a single lens is the result of multiplying together:</p>
|
||||
<ul>
|
||||
<li>One plus the box number of the lens in question.</li>
|
||||
<li>The slot number of the lens within the box: <code>1</code> for the first lens, <code>2</code> for the second lens, and so on.</li>
|
||||
<li>The focal length of the lens.</li>
|
||||
</ul>
|
||||
<p>At the end of the above example, the focusing power of each lens is as follows:</p>
|
||||
<ul>
|
||||
<li><code>rn</code>: <code>1</code> (box 0) * <code>1</code> (first slot) * <code>1</code> (focal length) = <code><em>1</em></code></li>
|
||||
<li><code>cm</code>: <code>1</code> (box 0) * <code>2</code> (second slot) * <code>2</code> (focal length) = <code><em>4</em></code></li>
|
||||
<li><code>ot</code>: <code>4</code> (box 3) * <code>1</code> (first slot) * <code>7</code> (focal length) = <code><em>28</em></code></li>
|
||||
<li><code>ab</code>: <code>4</code> (box 3) * <code>2</code> (second slot) * <code>5</code> (focal length) = <code><em>40</em></code></li>
|
||||
<li><code>pc</code>: <code>4</code> (box 3) * <code>3</code> (third slot) * <code>6</code> (focal length) = <code><em>72</em></code></li>
|
||||
</ul>
|
||||
<p>So, the above example ends up with a total focusing power of <code><em>145</em></code>.</p>
|
||||
<p>With the help of an over-enthusiastic reindeer in a hard hat, follow the initialization sequence. <em>What is the focusing power of the resulting lens configuration?</em></p>
|
||||
@@ -1,110 +0,0 @@
|
||||
\..../.....-...|........\.|...........-..........-......|....././..........\..|...............................
|
||||
.../..|.......-............\...........-\|...............\.....|......-...........................-./.......|.
|
||||
......../.-.-....\...\-.......................................|..........-.......\.....-.........|......|.....
|
||||
....\........./..............|.............-..|.|.\.|.-......\........./..................|..........\........
|
||||
...|/.|..........................-........................|............|-..|...../\................./.../.....
|
||||
...|.|.......\...................|/..........\\....|....................-..................|..................
|
||||
..................\-|..........|.\......|........\.....\...........................-..............\.....\.....
|
||||
........./.-./..............................-..........|......|................/.............-......./...|./..
|
||||
....-...\..........-......\...............-/.....................\.........-\.........|..........|.....|......
|
||||
./............\......./..-......................../.|.-.|........................./.|......|...\.......-.-....
|
||||
...........././.............|..........-....../..............-.....\.-......-.............................-..\
|
||||
......................\.|.\..................-./.....\....|......................|..\...|.....................
|
||||
...|.-...|.............../..//....-\...-.-...........|......-....\.|-.............\....-.|.............\......
|
||||
......|.....\-....\.............|../..|......\....--................/....|..../|../.....-........../..........
|
||||
.............|.........-.../.|....................\...........................................................
|
||||
....\...\.-..-.....|.|...........-........./..../..........-.-....|....-..............-....|........|....../..
|
||||
..........|..............\..|........../..........................|.....|\.-...........-......\....../........
|
||||
...../.......|..../........-........|./\..\..\.\././.\.............--.......-..................\./......-.....
|
||||
....................//...-..........-.............|................/............./.\....../...........-.......
|
||||
.\-...|-/.......-........-...-...............\../...........................\/.....\...........\........|.....
|
||||
.............................\-......|......\../......-..........|...........|.........-.....\..|......-......
|
||||
./................/........-.......|..\..../|............................|...........|.-.|....................
|
||||
.\.....|...............-\............|.................|...././.-...\..........|...........-...|...-.....\....
|
||||
.......-..../.........\|.....................|....../..|/./|..........|.......|-.......\\./......-............
|
||||
.....................\|......../-.............\...|...........................\.....\.\.......................
|
||||
...|\.././...................|..................-.../\.-............\.-.........../............../.....\......
|
||||
.......\..................\..|../...........................\....\....\..../...\..\\./.-....................|.
|
||||
...............|./...\..........|...|....\........./......\...\.............\.\-......|......-...-........|..|
|
||||
.........-...........................-...-............\...\.\.................................-....|./........
|
||||
.-.|............-.....................-.................\..../......\....\....\....................|.......-..
|
||||
.....\.|......|..../................|......|.....-...\|../................./...................//.............
|
||||
.|.........\..../......-........-............--...................../........|.......\.....\..........-.......
|
||||
../.....|.|............-.................|\.....|....||...-..-....|/......................|.|-..-..........||.
|
||||
...-............|.-.............-.....................\.|.............\.\............\...|........|...../.\...
|
||||
\...........................\.|................................................/.|......-.......\........../..
|
||||
...................|....|.......|.-.............-..-\...-...............................|..................../
|
||||
/...../.....\............../...........|..|./...-.../...............................\........../|.........\...
|
||||
..-.......|.........../.......|......../.......\.............../..........-|..................................
|
||||
...\.\........\............|......................\........|...\..............................................
|
||||
../..........--........|....-..............\..\.............\...................-........./...../..-..........
|
||||
..................|.................../\..-..|..................\....././..|......-.................../.......
|
||||
-...\.............\..-..-.................../...|.|.........|../|./............/...../............../.........
|
||||
.|\............................-....................|......./..............................|..-|...|.\........
|
||||
-........../...-....-.......................|...\........|.......\................../.........................
|
||||
........................................................././.|..|.........\................/|........\........
|
||||
-.....\.........................|...........|..||..|......................................\...\....../.......|
|
||||
....\...|........\.........................//...........|........-.........\..........\-.....\................
|
||||
....|........|.........../........../....\........|......-../..............|...............|.........../......
|
||||
......\................-...........|.................\...../........|................-........................
|
||||
...............|......|...\............\............/.../.......-.-../............................\......|....
|
||||
............-........-..../.......................\..-./.....\...................................-\.....|.....
|
||||
...|...../......\...........\......\...\......./...........-../..|......................../...|...............
|
||||
...........................-...../....-.....//................../..........-.......|.................|..-.....
|
||||
................-...\.............\.../.../.\../...|.........-.\...../.................\.............../\...\.
|
||||
.....-..................../......................................-...-............/...........|...-..........|
|
||||
.........-..........\.\................-..\............................|...................-........./........
|
||||
...............-....../.....\...|.........\.../\.......-......|............\-.................|...-..........\
|
||||
.....\/......../../|......\......|.....--............|....../........-.../....-...-...........................
|
||||
..../....\....|.............../..|........./............-.........................................../.........
|
||||
.........../.................|....-..........................................................................\
|
||||
...-.....-./....................\..../.\\.................-.....-....|..\.....-....|..........................
|
||||
.....-..\..........|....|...........|.|....................................\.......-.../.../-.-........-.../..
|
||||
............../......./...-.......-..|.......-|..........\..............-.-....|..............\...............
|
||||
-........../.........|.......................\....-........../.........\.................../.............-....
|
||||
.......-....\.....\..................\..../-.//.....-\..........|........................../....|.....\.......
|
||||
..-./............./|..|........|...\\.........\...|......|.....\.........../.\......................\........\
|
||||
...../|.......\............../....................|.............-...........|......|....../.........../....-..
|
||||
.............-...-...|..\-.........................................|.......-.........|.........\..............
|
||||
......|......|............/.........................|.............\.............../....................|..-...
|
||||
../../|\......|..//....../......................................................./-...................../.....
|
||||
.....-........-................-.............|.-./..............|...-...../......................../..../.....
|
||||
...........\......|.............|....|.|.........../........|....................\.\......./..\.\..|..........
|
||||
.\................/....................-..............................|...........\....\.......-....../.../...
|
||||
...............|................-.....................................-..................\...............\....
|
||||
..........|\..................../............................./...............-.....-....-..|................\
|
||||
.................\.\...........................................-../......\.....-...............|...\..........
|
||||
..|....\............................................./.........|...-\.........-...\..|..........\.............
|
||||
..................................|...........-....-./-.\.-..................-............................./..
|
||||
....................................\-.....\\...../..................-............-........../........-....\..
|
||||
...........\......./...../|\..../-....|........|.|-.....-....|.....||.....|...........\..........\....|.-.....
|
||||
...\..........\./..............-........................././..........\././...-...........-............-...../
|
||||
\........\.....-..............................\................../.............-........................\..\..
|
||||
.........../.\...............-.\...-.....\............\....\......--.....\...................................\
|
||||
............\...............\.........\\....\....|......\.......-.................|...|....\.....\...\........
|
||||
.....|.....-............../............-............../.............../...................-......\...........-
|
||||
..........................-...|......\.....\.......\........-................./..........-......../.../...-/..
|
||||
../........|....\........|..../...........|...-..|..........\............\..../........-................|.\...
|
||||
..........-............./........................................-.......\.|/......./.................\.../.-.
|
||||
......................\.........................../.../...../../.......|...................|............|.....
|
||||
..............\..........-/........|/................................\...........................-............
|
||||
........\....\....../.......|.-........\........-..\.................................|.....\-.................
|
||||
........\......|.\.................-..-.../.............\..................|.../.-.............-/.............
|
||||
.|/.............-.\.........................|...|./........-...........\../...............\./.......-......\..
|
||||
..................-....|.....................-........|/.................\.........../..-.............../..\..
|
||||
......-......-.........../......................-......./...../.../.|........\.../....../............\.....|..
|
||||
...|../..................-.................\.....................\............-...........|.....|.|.........-|
|
||||
..............................-...........|..-/.................|................................../..........
|
||||
.../......../.............-./.............|...../......./...|...........\..............-..........-....|..-./.
|
||||
/..\...|...........|...........................|/................../......./......................\.....\.....
|
||||
..|.........-........|..|......-...................\.........|...........................-....................
|
||||
../...-.....-.............../...|\...\.......|.................|.\.........-...................-\.........-./.
|
||||
../..............................|.......|..............\...\......................\..........|...............
|
||||
............/....|../....../.............-............................./......./.................\............
|
||||
/.....\...../.........../.............../...-.../\.....|.....|............|....|..........\.....\..../........
|
||||
....\....-/.........................|............-...........\........\...\.....\\................\........-/.
|
||||
.....................-..-\...............././...........................\....-./......|..............\..-.....
|
||||
................./........|.......-.-....................\.-.||...-.......\./.|./.....|...-.../......./.......
|
||||
........-..-...../.......\.........................\.....././.\.../..|...../..................................
|
||||
.............|...............--.........../.|\/.....\.........................|..|.....................-......
|
||||
..........-...|.......\/...................|....../.-...-...|....................\..../.-...../..../..-.......
|
||||
@@ -1,80 +0,0 @@
|
||||
|
||||
<article class="day-desc"><h2>--- Day 16: The Floor Will Be Lava ---</h2><p>With the beam of light completely focused <em>somewhere</em>, the reindeer leads you deeper still into the Lava Production Facility. At some point, you realize that the steel facility walls have been replaced with cave, and the doorways are just cave, and the floor is cave, and you're pretty sure this is actually just a giant cave.</p>
|
||||
<p>Finally, as you approach what must be the heart of the mountain, you see a bright light in a cavern up ahead. There, you discover that the <span title="Not anymore, there's a blanket!">beam</span> of light you so carefully focused is emerging from the cavern wall closest to the facility and pouring all of its energy into a contraption on the opposite side.</p>
|
||||
<p>Upon closer inspection, the contraption appears to be a flat, two-dimensional square grid containing <em>empty space</em> (<code>.</code>), <em>mirrors</em> (<code>/</code> and <code>\</code>), and <em>splitters</em> (<code>|</code> and <code>-</code>).</p>
|
||||
<p>The contraption is aligned so that most of the beam bounces around the grid, but each tile on the grid converts some of the beam's light into <em>heat</em> to melt the rock in the cavern.</p>
|
||||
<p>You note the layout of the contraption (your puzzle input). For example:</p>
|
||||
<pre><code>.|...\....
|
||||
|.-.\.....
|
||||
.....|-...
|
||||
........|.
|
||||
..........
|
||||
.........\
|
||||
..../.\\..
|
||||
.-.-/..|..
|
||||
.|....-|.\
|
||||
..//.|....
|
||||
</code></pre>
|
||||
<p>The beam enters in the top-left corner from the left and heading to the <em>right</em>. Then, its behavior depends on what it encounters as it moves:</p>
|
||||
<ul>
|
||||
<li>If the beam encounters <em>empty space</em> (<code>.</code>), it continues in the same direction.</li>
|
||||
<li>If the beam encounters a <em>mirror</em> (<code>/</code> or <code>\</code>), the beam is <em>reflected</em> 90 degrees depending on the angle of the mirror. For instance, a rightward-moving beam that encounters a <code>/</code> mirror would continue <em>upward</em> in the mirror's column, while a rightward-moving beam that encounters a <code>\</code> mirror would continue <em>downward</em> from the mirror's column.</li>
|
||||
<li>If the beam encounters the <em>pointy end of a splitter</em> (<code>|</code> or <code>-</code>), the beam passes through the splitter as if the splitter were <em>empty space</em>. For instance, a rightward-moving beam that encounters a <code>-</code> splitter would continue in the same direction.</li>
|
||||
<li>If the beam encounters the <em>flat side of a splitter</em> (<code>|</code> or <code>-</code>), the beam is <em>split into two beams</em> going in each of the two directions the splitter's pointy ends are pointing. For instance, a rightward-moving beam that encounters a <code>|</code> splitter would split into two beams: one that continues <em>upward</em> from the splitter's column and one that continues <em>downward</em> from the splitter's column.</li>
|
||||
</ul>
|
||||
<p>Beams do not interact with other beams; a tile can have many beams passing through it at the same time. A tile is <em>energized</em> if that tile has at least one beam pass through it, reflect in it, or split in it.</p>
|
||||
<p>In the above example, here is how the beam of light bounces around the contraption:</p>
|
||||
<pre><code>>|<<<\....
|
||||
|v-.\^....
|
||||
.v...|->>>
|
||||
.v...v^.|.
|
||||
.v...v^...
|
||||
.v...v^..\
|
||||
.v../2\\..
|
||||
<->-/vv|..
|
||||
.|<<<2-|.\
|
||||
.v//.|.v..
|
||||
</code></pre>
|
||||
<p>Beams are only shown on empty tiles; arrows indicate the direction of the beams. If a tile contains beams moving in multiple directions, the number of distinct directions is shown instead. Here is the same diagram but instead only showing whether a tile is <em>energized</em> (<code>#</code>) or not (<code>.</code>):</p>
|
||||
<pre><code>######....
|
||||
.#...#....
|
||||
.#...#####
|
||||
.#...##...
|
||||
.#...##...
|
||||
.#...##...
|
||||
.#..####..
|
||||
########..
|
||||
.#######..
|
||||
.#...#.#..
|
||||
</code></pre>
|
||||
<p>Ultimately, in this example, <code><em>46</em></code> tiles become <em>energized</em>.</p>
|
||||
<p>The light isn't energizing enough tiles to produce lava; to debug the contraption, you need to start by analyzing the current situation. With the beam starting in the top-left heading right, <em>how many tiles end up being energized?</em></p>
|
||||
|
||||
<p>Your puzzle answer was <code>8901</code>.</p><p class="day-success">The first half of this puzzle is complete! It provides one gold star: *</p>
|
||||
<article class="day-desc"><h2 id="part2">--- Part Two ---</h2><p>As you try to work out what might be wrong, the reindeer tugs on your shirt and leads you to a nearby control panel. There, a collection of buttons lets you align the contraption so that the beam enters from <em>any edge tile</em> and heading away from that edge. (You can choose either of two directions for the beam if it starts on a corner; for instance, if the beam starts in the bottom-right corner, it can start heading either left or upward.)</p>
|
||||
<p>So, the beam could start on any tile in the top row (heading downward), any tile in the bottom row (heading upward), any tile in the leftmost column (heading right), or any tile in the rightmost column (heading left). To produce lava, you need to find the configuration that <em>energizes as many tiles as possible</em>.</p>
|
||||
<p>In the above example, this can be achieved by starting the beam in the fourth tile from the left in the top row:</p>
|
||||
<pre><code>.|<2<\....
|
||||
|v-v\^....
|
||||
.v.v.|->>>
|
||||
.v.v.v^.|.
|
||||
.v.v.v^...
|
||||
.v.v.v^..\
|
||||
.v.v/2\\..
|
||||
<-2-/vv|..
|
||||
.|<<<2-|.\
|
||||
.v//.|.v..
|
||||
</code></pre>
|
||||
<p>Using this configuration, <code><em>51</em></code> tiles are energized:</p>
|
||||
<pre><code>.#####....
|
||||
.#.#.#....
|
||||
.#.#.#####
|
||||
.#.#.##...
|
||||
.#.#.##...
|
||||
.#.#.##...
|
||||
.#.#####..
|
||||
########..
|
||||
.#######..
|
||||
.#...#.#..
|
||||
</code></pre>
|
||||
<p>Find the initial beam configuration that energizes the largest number of tiles; <em>how many tiles are energized in that configuration?</em></p>
|
||||
@@ -1,141 +0,0 @@
|
||||
545452221113224242466233542635423355626253426445443455757673665557347647355656433643746353634644662254525636256443646245624542442323123124434
|
||||
423123553224156354662663652662565323453542525447336537477575644434676433736577536377777334455463373535224645325663632555343244432114515143455
|
||||
412533154242243224353222366252356526355257367576363643744576774435663654744573466766563337774647645676664423643264353633522462246212343543534
|
||||
312324515521642422652636445534644554523665356655534343537375547744446437364446564476574363354465364444335526246456466465534642522545221525355
|
||||
431513132425342544645256323442532642676557544454577773477553376746647356735654457637736466555435447757676662446326565224355645426536544353433
|
||||
152515313256642445666534554544332644373336536336456577474544746374336345737444775367547736546647553566343437636426552263525243344634253243155
|
||||
135443325556463563643622655423352436666776776734633546375567453734754553445667477777766555547773656573443454755625255564266524452554644145234
|
||||
241513543232556336524232462424435737746743746575776755464666467353446767477357654573667646735353777447336743456434254233635466225242632525121
|
||||
442114466425542236636355532623577635665736777673573577436763575554353467744376756337466776666746547776573643366373454532562525346426364521212
|
||||
541155622643423523354262433657364363646354575667566357546477534336746476674745444646634665776653773333473375747756253522266653336465444335443
|
||||
315134623523366526522266354747643547566373676536336653534764337367777657666544734333553663574737675665473765764555363545425566323646362446212
|
||||
353142355424432653444565325346456566644744764673467744633777464737845775474776766376767444574545433637456635633567664644636222333626546663624
|
||||
315262562366632565525535545577665554665674353536337736534348577475484854557474447578374345363774654336434544754674634746633244226523442264433
|
||||
335545645535423623266436675456635746457674747674657776647557877646646675874757745664876653556564444533753335375443577665252425255534456546245
|
||||
553355652652264636363367377346645567667346557653434567688677545486848565546546665444456784473354343544647657374633433333555233425565253533356
|
||||
243333363523322443663544336473347367764656335567475568787767645554484767666557847484654575478446467365374457346344653755573346552525256565322
|
||||
666223435352636335653467647754757343776765635446446788867658547858868785684748487568855845688555756333373536554535476756744646434652424342333
|
||||
645455232354462344243445636673564336664747664878865467785568865677886748754847884644784467558578757766455653753346354754754655533565264232532
|
||||
466264662434546564673354575575444753656373744566465676768746765458687768457555786448878877475448775543545436357333657537436536626255346662656
|
||||
654524643332325657443773473345666645437437457786476648665876645875844657466548548677668648768478465858346357657453545354733536252225236325324
|
||||
245235543533534454757574456473757344733876884576864756557877774546778774555757444877858775558546876676464645537473477737556335324623665264554
|
||||
552235662634536547455366376357656336444664848888574766754875756656755876868444465858655555676566668664686665663544655356774567736546326366635
|
||||
353542423524446556643335547536347646576756685775676766655557774844768557867884484585678554847845646654865854437565545635345436754335643323263
|
||||
326635253342553646346557637354574467764875575745775547574584574755667545768464448746656755546475444547874465334763664737345747437656333254563
|
||||
653335566256277556643667467346775367576846755455468867867557557555887765578448878848456454866856764644668486873436476677765536767642445626356
|
||||
353255366565746364356754435755657577566867745558644476548588748884548574488784666876485787774565875677468876756676547447547545755532634442565
|
||||
526256464444756734475435756673776484768854466755657745844446568666657957857746556588454768855565754764675454455437656334744533657457623236224
|
||||
345546363576475673635365446743587548544658648758765765475847775665595995997557889547584448655877685856876666444644644334674665743567346233266
|
||||
533654332435774354776646364446474846575477447574584776856576779765587966968987698878988545587567868486876764888877575753575453556376745642566
|
||||
633636424573637734764776635667487684676748668665568566866889869557556755989955889797856987487464457458644645786764873746476745365753365432463
|
||||
436434525766744544555467765487678745586567856888558789667967898667788975588775596575969899765767668556484474454574865565553453736343757423566
|
||||
562564353763677646656565447585778775865488767878759868968558979588977867688659588986697765665477854856584885664466675345566465573666456355365
|
||||
232544366666336545573336765565884686888688676464687896586586865697669996659769557995958979656645555844656646558777648564373757645766465564263
|
||||
325226433577434645734663776868484484574546847759659798668887755976978658579669665775876995696766765667567564857767757436736433534574356375464
|
||||
233434647657566365675564855678657456764555868565669776899967977985978785677658977569987558877878886856748745484877655877536777645733565672553
|
||||
346247373476565353376638555656666547878646777776699966987887775565755667655885557989588579667655656868844566557565885884763657647737363335464
|
||||
532243475547755575777345844444764678745788878877675956599689759687889958677777568677756559957698788764847454855744856566777557736766676435464
|
||||
262676537574457653774457566747874566475585789698955597778655878869799695678789958999766885657857566894858485757754485588476476734355556634663
|
||||
554273745665445654454755465755788884874769777895865665659996575789596765989769785679566759565995579779754867476767446844747337344367377354722
|
||||
223443465575665667345468464778664565646768567659578566988667856788688568878858975798856895758586987665776878777467678677846363447364466655752
|
||||
356675376476767636478486488564575777675577587995586676557599976687578955896587568597887786867768768799584654454457787674446666776457355366334
|
||||
446346746755447335376878747444548484767989866757676988577659767879598868996657877558889985695985588655575884455566754554678576776575736753747
|
||||
554354566643337445757665664854558565869858866656857656695755689989897768888898967697656665688856899957759956444477448748884634353575536635376
|
||||
534454344735356453685855755866568857866855877775658577698557768996777867979869796665786759779765759587979888785478444554847485657467766647545
|
||||
443436776547774645468645577867656488896978758777798895598889679866888688869967986666655558857856758797976585648874675868764677345555644357543
|
||||
257746743747434447467858858468464667666857679685959656776766788988696989987877767689978775665995977695959698477585465847875658656777474576447
|
||||
645547747335346637656657768676586568997777755987596665968768787877997778697867879896899888669887779959895769844445545565666568367653644677547
|
||||
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|
||||
@@ -1,78 +0,0 @@
|
||||
|
||||
<article class="day-desc"><h2>--- Day 17: Clumsy Crucible ---</h2><p>The lava starts flowing rapidly once the Lava Production Facility is operational. As you <span title="see you soon?">leave</span>, the reindeer offers you a parachute, allowing you to quickly reach Gear Island.</p>
|
||||
<p>As you descend, your bird's-eye view of Gear Island reveals why you had trouble finding anyone on your way up: half of Gear Island is empty, but the half below you is a giant factory city!</p>
|
||||
<p>You land near the gradually-filling pool of lava at the base of your new <em>lavafall</em>. Lavaducts will eventually carry the lava throughout the city, but to make use of it immediately, Elves are loading it into large <a href="https://en.wikipedia.org/wiki/Crucible" target="_blank">crucibles</a> on wheels.</p>
|
||||
<p>The crucibles are top-heavy and pushed by hand. Unfortunately, the crucibles become very difficult to steer at high speeds, and so it can be hard to go in a straight line for very long.</p>
|
||||
<p>To get Desert Island the machine parts it needs as soon as possible, you'll need to find the best way to get the crucible <em>from the lava pool to the machine parts factory</em>. To do this, you need to minimize <em>heat loss</em> while choosing a route that doesn't require the crucible to go in a <em>straight line</em> for too long.</p>
|
||||
<p>Fortunately, the Elves here have a map (your puzzle input) that uses traffic patterns, ambient temperature, and hundreds of other parameters to calculate exactly how much heat loss can be expected for a crucible entering any particular city block.</p>
|
||||
<p>For example:</p>
|
||||
<pre><code>2413432311323
|
||||
3215453535623
|
||||
3255245654254
|
||||
3446585845452
|
||||
4546657867536
|
||||
1438598798454
|
||||
4457876987766
|
||||
3637877979653
|
||||
4654967986887
|
||||
4564679986453
|
||||
1224686865563
|
||||
2546548887735
|
||||
4322674655533
|
||||
</code></pre>
|
||||
<p>Each city block is marked by a single digit that represents the <em>amount of heat loss if the crucible enters that block</em>. The starting point, the lava pool, is the top-left city block; the destination, the machine parts factory, is the bottom-right city block. (Because you already start in the top-left block, you don't incur that block's heat loss unless you leave that block and then return to it.)</p>
|
||||
<p>Because it is difficult to keep the top-heavy crucible going in a straight line for very long, it can move <em>at most three blocks</em> in a single direction before it must turn 90 degrees left or right. The crucible also can't reverse direction; after entering each city block, it may only turn left, continue straight, or turn right.</p>
|
||||
<p>One way to <em>minimize heat loss</em> is this path:</p>
|
||||
<pre><code>2<em>></em><em>></em>34<em>^</em><em>></em><em>></em><em>></em>1323
|
||||
32<em>v</em><em>></em><em>></em><em>></em>35<em>v</em>5623
|
||||
32552456<em>v</em><em>></em><em>></em>54
|
||||
3446585845<em>v</em>52
|
||||
4546657867<em>v</em><em>></em>6
|
||||
14385987984<em>v</em>4
|
||||
44578769877<em>v</em>6
|
||||
36378779796<em>v</em><em>></em>
|
||||
465496798688<em>v</em>
|
||||
456467998645<em>v</em>
|
||||
12246868655<em><</em><em>v</em>
|
||||
25465488877<em>v</em>5
|
||||
43226746555<em>v</em><em>></em>
|
||||
</code></pre>
|
||||
<p>This path never moves more than three consecutive blocks in the same direction and incurs a heat loss of only <code><em>102</em></code>.</p>
|
||||
<p>Directing the crucible from the lava pool to the machine parts factory, but not moving more than three consecutive blocks in the same direction, <em>what is the least heat loss it can incur?</em></p>
|
||||
|
||||
<p>Your puzzle answer was <code>1246</code>.</p><p class="day-success">The first half of this puzzle is complete! It provides one gold star: *</p>
|
||||
<article class="day-desc"><h2 id="part2">--- Part Two ---</h2><p>The crucibles of lava simply aren't large enough to provide an adequate supply of lava to the machine parts factory. Instead, the Elves are going to upgrade to <em>ultra crucibles</em>.</p>
|
||||
<p>Ultra crucibles are even more difficult to steer than normal crucibles. Not only do they have trouble going in a straight line, but they also have trouble turning!</p>
|
||||
<p>Once an ultra crucible starts moving in a direction, it needs to move <em>a minimum of four blocks</em> in that direction before it can turn (or even before it can stop at the end). However, it will eventually start to get wobbly: an ultra crucible can move a maximum of <em>ten consecutive blocks</em> without turning.</p>
|
||||
<p>In the above example, an ultra crucible could follow this path to minimize heat loss:</p>
|
||||
<pre><code>2<em>></em><em>></em><em>></em><em>></em><em>></em><em>></em><em>></em><em>></em>1323
|
||||
32154535<em>v</em>5623
|
||||
32552456<em>v</em>4254
|
||||
34465858<em>v</em>5452
|
||||
45466578<em>v</em><em>></em><em>></em><em>></em><em>></em>
|
||||
143859879845<em>v</em>
|
||||
445787698776<em>v</em>
|
||||
363787797965<em>v</em>
|
||||
465496798688<em>v</em>
|
||||
456467998645<em>v</em>
|
||||
122468686556<em>v</em>
|
||||
254654888773<em>v</em>
|
||||
432267465553<em>v</em>
|
||||
</code></pre>
|
||||
<p>In the above example, an ultra crucible would incur the minimum possible heat loss of <code><em>94</em></code>.</p>
|
||||
<p>Here's another example:</p>
|
||||
<pre><code>111111111111
|
||||
999999999991
|
||||
999999999991
|
||||
999999999991
|
||||
999999999991
|
||||
</code></pre>
|
||||
<p>Sadly, an ultra crucible would need to take an unfortunate path like this one:</p>
|
||||
<pre><code>1<em>></em><em>></em><em>></em><em>></em><em>></em><em>></em><em>></em>1111
|
||||
9999999<em>v</em>9991
|
||||
9999999<em>v</em>9991
|
||||
9999999<em>v</em>9991
|
||||
9999999<em>v</em><em>></em><em>></em><em>></em><em>></em>
|
||||
</code></pre>
|
||||
<p>This route causes the ultra crucible to incur the minimum possible heat loss of <code><em>71</em></code>.</p>
|
||||
<p>Directing the <em>ultra crucible</em> from the lava pool to the machine parts factory, <em>what is the least heat loss it can incur?</em></p>
|
||||
@@ -1 +0,0 @@
|
||||
Paste any inputs into this file.
|
||||
@@ -1 +0,0 @@
|
||||
# Day 18 Puzzle Text.
|
||||
@@ -1 +0,0 @@
|
||||
Paste any inputs into this file.
|
||||
@@ -1 +0,0 @@
|
||||
# Day 19 Puzzle Text.
|
||||
@@ -1,100 +0,0 @@
|
||||
Game 1: 3 blue, 7 green, 10 red; 4 green, 4 red; 1 green, 7 blue, 5 red; 8 blue, 10 red; 7 blue, 19 red, 1 green
|
||||
Game 2: 6 red, 10 green; 11 green, 4 red; 16 green, 2 blue; 7 green, 5 blue, 4 red; 17 green, 1 red, 1 blue
|
||||
Game 3: 5 red, 9 blue, 1 green; 5 red; 11 red, 2 green, 8 blue; 2 green, 6 blue
|
||||
Game 4: 2 red, 5 green; 2 blue, 3 red, 3 green; 3 red, 2 blue; 8 green, 2 red
|
||||
Game 5: 12 red, 13 blue; 13 blue, 2 green, 9 red; 9 blue, 1 red; 2 green, 12 blue; 1 green, 1 red, 11 blue
|
||||
Game 6: 4 blue, 11 red; 4 red; 1 green, 7 red; 1 green, 1 blue; 8 blue, 10 red; 1 green, 2 blue, 8 red
|
||||
Game 7: 7 blue, 15 red, 1 green; 5 green, 17 red, 7 blue; 5 blue, 1 green; 11 blue, 2 green, 17 red; 14 green, 9 red, 2 blue; 6 blue, 19 red
|
||||
Game 8: 13 green; 5 green; 3 blue, 9 green, 1 red; 4 red, 11 green, 4 blue
|
||||
Game 9: 4 green, 1 red, 1 blue; 4 green, 7 blue, 7 red; 9 blue, 4 red; 2 blue, 8 red, 5 green; 6 blue, 2 green; 5 red, 5 green, 10 blue
|
||||
Game 10: 1 green, 5 blue, 3 red; 4 green, 9 red, 3 blue; 11 red, 2 green, 5 blue; 3 green, 1 blue, 2 red; 6 red, 2 blue
|
||||
Game 11: 2 red, 6 green, 12 blue; 2 red, 9 blue, 1 green; 12 green, 3 blue
|
||||
Game 12: 1 red, 1 blue, 12 green; 6 green, 2 red, 1 blue; 6 red, 6 green, 1 blue; 3 green, 6 red
|
||||
Game 13: 5 red, 19 green, 3 blue; 6 red, 7 blue, 11 green; 8 blue, 6 red; 3 blue, 4 green, 4 red; 8 red, 15 green, 5 blue; 5 blue, 2 red, 10 green
|
||||
Game 14: 5 blue, 9 green; 4 green, 6 blue; 14 green, 1 red, 4 blue; 3 blue, 3 green; 2 green; 5 blue, 7 green, 1 red
|
||||
Game 15: 5 red, 8 blue; 9 blue, 3 red; 5 red, 1 green, 16 blue; 1 blue, 3 red, 2 green; 5 red, 2 green, 10 blue
|
||||
Game 16: 6 blue, 9 green, 10 red; 8 blue, 9 red, 14 green; 7 green, 1 blue, 1 red; 8 red, 5 green, 8 blue; 10 red, 5 blue, 14 green; 7 blue, 11 red, 3 green
|
||||
Game 17: 12 blue, 12 red, 6 green; 14 green, 17 blue, 4 red; 11 blue, 1 red, 13 green
|
||||
Game 18: 7 blue, 2 green, 4 red; 1 blue, 2 green, 4 red; 2 red, 17 blue
|
||||
Game 19: 3 red, 9 green; 8 red, 2 blue, 2 green; 3 blue, 15 green, 11 red; 18 green, 3 red, 1 blue
|
||||
Game 20: 5 green, 5 red, 16 blue; 8 blue, 6 green, 4 red; 10 red, 11 blue; 5 red, 5 blue, 5 green
|
||||
Game 21: 1 red, 3 blue, 14 green; 6 red, 6 blue, 17 green; 12 green, 17 blue, 3 red; 15 green, 1 red, 19 blue; 3 red, 18 blue, 4 green
|
||||
Game 22: 15 blue; 11 blue, 2 red, 1 green; 1 green, 7 red; 1 red, 18 blue, 1 green; 16 blue; 3 red, 6 blue
|
||||
Game 23: 11 blue, 6 green, 4 red; 9 green, 11 red, 8 blue; 5 green, 5 red, 2 blue; 11 green, 4 blue, 11 red; 3 green, 9 blue, 2 red
|
||||
Game 24: 7 green, 2 red; 8 red, 1 blue, 15 green; 3 red, 6 green, 6 blue
|
||||
Game 25: 9 blue, 9 green; 3 green, 7 blue, 1 red; 6 green, 1 red, 1 blue; 6 green, 1 red, 1 blue
|
||||
Game 26: 1 green, 15 blue, 1 red; 1 red, 12 blue, 1 green; 16 blue; 5 red, 11 green, 14 blue; 6 green, 4 red, 14 blue
|
||||
Game 27: 14 red, 9 green; 11 red, 5 green, 6 blue; 1 red, 6 blue, 9 green
|
||||
Game 28: 6 green, 1 blue, 9 red; 1 green, 9 red; 7 red; 11 red, 1 blue, 2 green; 8 red, 10 green; 6 green, 1 blue, 5 red
|
||||
Game 29: 1 red, 19 blue, 3 green; 9 blue, 1 red; 8 green, 17 blue; 11 blue, 4 green
|
||||
Game 30: 7 blue; 5 blue, 1 red, 1 green; 3 blue, 1 red
|
||||
Game 31: 9 red, 2 green, 1 blue; 5 red, 1 green, 3 blue; 2 green, 7 red; 2 green, 12 red
|
||||
Game 32: 1 red, 1 blue, 17 green; 14 blue, 10 green, 6 red; 12 green, 11 blue, 3 red
|
||||
Game 33: 2 red, 1 green, 3 blue; 7 blue, 4 green; 1 red, 3 green, 5 blue
|
||||
Game 34: 9 blue, 1 green, 9 red; 12 blue, 2 green, 12 red; 3 blue, 12 red; 2 green, 14 blue, 11 red; 10 red, 12 blue
|
||||
Game 35: 6 blue, 2 red; 5 blue; 6 green, 9 blue, 3 red; 3 green, 1 red, 2 blue
|
||||
Game 36: 9 blue, 4 green, 6 red; 2 red, 4 green; 7 red, 3 green; 6 green, 2 blue; 3 red, 4 blue, 3 green; 3 green, 4 red, 16 blue
|
||||
Game 37: 2 green, 8 red, 4 blue; 3 red, 4 blue, 2 green; 5 blue, 3 green; 9 blue, 15 green; 5 red, 11 green, 7 blue
|
||||
Game 38: 12 red, 1 blue; 10 red, 3 green, 2 blue; 7 blue, 3 green, 8 red; 14 red, 2 green
|
||||
Game 39: 16 green, 2 red, 17 blue; 6 red, 4 green, 13 blue; 7 blue, 1 green, 4 red; 2 green, 3 blue; 12 green, 6 red, 17 blue; 5 red, 2 blue, 6 green
|
||||
Game 40: 3 green, 4 blue, 2 red; 2 green, 3 red; 6 blue, 2 red, 6 green; 5 green; 3 blue, 1 red, 5 green
|
||||
Game 41: 13 green, 11 red; 3 green, 2 red, 1 blue; 1 blue, 3 green, 9 red; 12 red, 11 green; 9 red, 1 green; 9 green, 4 red
|
||||
Game 42: 4 green, 2 blue; 6 blue, 10 green; 13 blue, 3 red, 6 green; 11 blue, 17 green; 8 blue, 5 red
|
||||
Game 43: 10 green, 2 blue, 10 red; 3 red, 3 blue, 5 green; 10 green, 11 red, 4 blue; 5 green; 7 green, 13 red, 2 blue
|
||||
Game 44: 4 red, 1 blue, 5 green; 1 blue, 8 red, 3 green; 11 red, 1 green, 1 blue; 2 green, 12 red, 1 blue; 1 blue, 12 red; 14 red, 3 green
|
||||
Game 45: 4 green, 5 red, 7 blue; 10 red, 8 green, 3 blue; 12 blue, 1 green, 13 red; 1 red, 3 blue, 7 green
|
||||
Game 46: 5 blue, 13 red; 15 red, 3 green, 17 blue; 8 red, 2 green, 1 blue; 1 green, 7 red, 16 blue; 4 blue, 10 red
|
||||
Game 47: 2 red, 3 green; 2 blue, 9 red, 15 green; 7 green, 4 red; 3 blue, 13 red, 9 green
|
||||
Game 48: 11 green, 4 red, 9 blue; 1 blue, 7 green; 4 blue, 4 red; 4 red, 4 blue, 2 green; 9 green, 2 blue, 2 red
|
||||
Game 49: 10 green, 6 blue; 2 blue, 5 green, 1 red; 5 green, 4 blue; 11 green, 3 red, 3 blue
|
||||
Game 50: 2 red, 15 green, 1 blue; 8 green, 7 blue; 4 blue, 8 green; 7 blue, 17 green; 5 blue, 6 green, 2 red; 16 green, 2 red, 1 blue
|
||||
Game 51: 3 green, 5 blue, 1 red; 11 red, 9 blue, 8 green; 3 red, 8 green, 7 blue; 1 red, 9 blue, 6 green; 4 green, 1 red, 3 blue; 8 green, 7 red
|
||||
Game 52: 1 green, 2 blue, 10 red; 8 green, 1 blue, 2 red; 7 red, 8 green
|
||||
Game 53: 2 red, 6 green; 1 green, 4 blue; 12 green, 19 blue; 11 blue, 1 green; 4 green, 20 blue; 7 blue, 9 green, 1 red
|
||||
Game 54: 2 blue, 2 green, 2 red; 13 red, 1 green, 6 blue; 9 blue, 1 green, 18 red; 11 red, 16 blue; 15 red, 3 green, 13 blue
|
||||
Game 55: 5 green, 5 blue, 9 red; 8 red, 11 blue, 7 green; 6 green, 2 red, 10 blue; 6 red, 6 blue, 9 green; 11 green, 14 blue, 4 red
|
||||
Game 56: 8 blue, 14 green; 3 red, 8 green, 3 blue; 14 green, 1 red, 13 blue; 8 green, 3 red; 8 blue, 11 green, 1 red; 8 blue, 10 green, 2 red
|
||||
Game 57: 7 blue, 7 red; 11 green, 5 blue, 2 red; 14 green, 8 blue; 5 blue, 2 red, 17 green; 12 green, 3 red; 7 red, 7 blue, 9 green
|
||||
Game 58: 3 blue, 4 red, 1 green; 2 green, 3 red; 1 red, 2 green, 4 blue; 4 green, 4 red, 2 blue
|
||||
Game 59: 6 red, 4 blue, 5 green; 6 blue, 6 red; 1 red; 8 blue, 1 red
|
||||
Game 60: 4 blue, 9 green, 11 red; 12 green, 3 red, 9 blue; 7 green, 1 blue; 14 green, 11 blue, 11 red
|
||||
Game 61: 12 green; 9 green, 9 red; 12 red, 18 blue, 8 green; 16 red, 10 blue, 3 green; 6 green, 15 red, 3 blue; 13 green
|
||||
Game 62: 2 green, 3 red, 12 blue; 12 blue, 12 green, 12 red; 1 red, 12 blue, 5 green; 7 red, 9 blue, 13 green; 1 blue, 3 red, 10 green; 2 blue, 8 red, 17 green
|
||||
Game 63: 10 green, 7 blue, 4 red; 3 blue, 6 green, 2 red; 4 green, 10 red, 6 blue; 16 blue, 5 red, 4 green
|
||||
Game 64: 11 red, 1 green, 6 blue; 12 red, 3 green; 6 green, 5 blue, 2 red; 4 green, 9 blue, 11 red; 5 blue, 8 green, 8 red; 9 green, 11 blue
|
||||
Game 65: 4 blue, 12 red; 1 green, 3 blue, 12 red; 1 green, 3 blue, 13 red; 2 red; 12 red
|
||||
Game 66: 4 red, 3 green, 3 blue; 2 blue, 4 red; 10 red, 6 blue, 3 green
|
||||
Game 67: 7 red, 2 blue, 5 green; 3 green, 5 red, 18 blue; 16 red, 5 green, 13 blue; 16 red, 5 blue, 2 green
|
||||
Game 68: 11 blue, 2 red; 1 green, 3 blue, 8 red; 16 red, 1 green, 17 blue; 4 red, 1 green, 11 blue; 3 red
|
||||
Game 69: 1 green, 9 red, 12 blue; 12 red; 11 blue; 1 green
|
||||
Game 70: 1 green, 18 blue, 16 red; 3 green, 15 red, 7 blue; 3 blue, 3 green, 10 red; 1 blue, 3 green, 10 red
|
||||
Game 71: 3 red, 12 blue, 8 green; 18 green, 12 blue, 5 red; 2 blue, 7 red; 11 blue, 9 green; 5 blue, 7 red, 19 green; 2 red, 1 blue, 13 green
|
||||
Game 72: 8 red, 6 blue, 3 green; 2 green, 13 blue, 15 red; 5 green, 8 blue, 2 red; 5 red, 12 blue, 3 green
|
||||
Game 73: 3 blue, 13 green; 7 red, 3 green; 10 red, 2 blue, 1 green
|
||||
Game 74: 3 red; 2 red, 1 blue, 7 green; 10 green, 3 blue, 1 red; 6 green, 1 blue; 11 green, 4 blue
|
||||
Game 75: 8 blue, 2 green, 4 red; 19 blue, 2 green; 1 red, 18 blue, 3 green; 3 red, 5 green, 18 blue
|
||||
Game 76: 3 green, 2 red, 2 blue; 3 blue, 6 green, 1 red; 1 green, 3 blue; 1 blue, 1 green
|
||||
Game 77: 4 green, 7 red, 13 blue; 18 blue; 4 blue, 9 red, 1 green; 2 green, 16 blue, 9 red
|
||||
Game 78: 2 green, 5 blue, 11 red; 2 blue, 3 red, 1 green; 4 green, 6 blue, 6 red
|
||||
Game 79: 9 blue, 1 green, 3 red; 1 green, 2 red, 4 blue; 5 red, 4 green, 10 blue; 1 red, 9 blue, 4 green
|
||||
Game 80: 8 red, 5 green, 7 blue; 15 red, 6 blue, 8 green; 8 blue, 14 red, 7 green; 3 blue, 2 green, 20 red; 10 red, 8 blue, 1 green; 7 green, 11 red, 9 blue
|
||||
Game 81: 7 red, 1 blue, 5 green; 5 green, 10 blue, 9 red; 8 blue, 2 green, 7 red
|
||||
Game 82: 1 green, 6 blue, 14 red; 7 blue, 2 green; 7 blue, 17 red, 3 green
|
||||
Game 83: 2 red, 19 blue, 2 green; 5 red, 5 blue, 2 green; 2 red, 4 blue, 1 green
|
||||
Game 84: 1 blue, 1 red, 12 green; 11 blue, 6 red, 13 green; 10 red, 8 blue, 8 green; 14 blue, 15 red; 19 blue, 10 green, 17 red; 11 red, 7 green
|
||||
Game 85: 16 blue, 12 red, 8 green; 13 red, 3 green; 1 red, 16 blue, 10 green
|
||||
Game 86: 5 green, 8 blue, 3 red; 8 green, 9 red, 13 blue; 4 green, 1 red, 12 blue; 13 red, 15 blue, 5 green
|
||||
Game 87: 1 green, 16 red; 10 red, 2 green, 2 blue; 16 red, 5 blue; 1 blue, 2 green
|
||||
Game 88: 3 blue, 1 green; 1 red, 2 green, 13 blue; 5 blue, 2 green, 1 red
|
||||
Game 89: 9 blue, 2 red, 1 green; 10 blue; 5 blue, 1 green
|
||||
Game 90: 8 red, 2 blue, 5 green; 2 red, 2 green, 2 blue; 1 blue, 8 green, 10 red; 11 green, 1 blue; 10 green, 4 red, 3 blue
|
||||
Game 91: 14 blue, 9 red; 5 green, 5 red, 11 blue; 7 green, 4 blue, 12 red; 8 red, 6 green, 10 blue
|
||||
Game 92: 2 green, 2 blue, 12 red; 2 green, 1 blue, 14 red; 14 red, 2 blue, 6 green; 11 red, 6 green, 2 blue; 11 green, 12 red, 2 blue
|
||||
Game 93: 4 green, 7 blue, 3 red; 1 green, 12 blue, 1 red; 8 blue, 7 green, 2 red; 3 red, 9 blue, 2 green
|
||||
Game 94: 13 green, 9 blue; 9 blue, 1 red, 8 green; 12 green, 1 red, 8 blue; 1 red, 9 green; 1 red, 5 blue, 14 green
|
||||
Game 95: 7 blue, 14 red; 9 blue, 17 red; 2 blue, 1 green, 4 red
|
||||
Game 96: 11 blue, 2 green, 3 red; 3 blue, 12 red, 3 green; 4 green, 11 red, 1 blue
|
||||
Game 97: 9 red, 5 green, 2 blue; 12 red, 1 blue, 11 green; 7 green, 4 red, 2 blue; 1 blue, 6 red, 10 green
|
||||
Game 98: 5 green, 5 red, 11 blue; 1 red, 10 blue, 7 green; 8 red, 1 blue, 7 green; 8 green, 11 red, 2 blue; 4 red, 5 blue, 2 green; 10 green, 5 red, 9 blue
|
||||
Game 99: 3 green, 7 red, 4 blue; 9 red, 13 blue, 2 green; 3 red, 2 green, 11 blue; 5 red, 6 blue, 3 green; 8 blue, 5 green, 6 red; 6 green, 13 red, 1 blue
|
||||
Game 100: 9 green, 7 blue; 1 green, 3 red, 4 blue; 15 red, 9 green; 3 blue, 6 red, 13 green; 2 red, 11 blue, 12 green
|
||||
@@ -1,50 +0,0 @@
|
||||
# Day 2 Puzzle Text.
|
||||
|
||||
--- Day 2: Cube Conundrum ---
|
||||
You're launched high into the atmosphere! The apex of your trajectory just barely reaches the surface of a large island floating in the sky. You gently land in a fluffy pile of leaves. It's quite cold, but you don't see much snow. An Elf runs over to greet you.
|
||||
|
||||
The Elf explains that you've arrived at Snow Island and apologizes for the lack of snow. He'll be happy to explain the situation, but it's a bit of a walk, so you have some time. They don't get many visitors up here; would you like to play a game in the meantime?
|
||||
|
||||
As you walk, the Elf shows you a small bag and some cubes which are either red, green, or blue. Each time you play this game, he will hide a secret number of cubes of each color in the bag, and your goal is to figure out information about the number of cubes.
|
||||
|
||||
To get information, once a bag has been loaded with cubes, the Elf will reach into the bag, grab a handful of random cubes, show them to you, and then put them back in the bag. He'll do this a few times per game.
|
||||
|
||||
You play several games and record the information from each game (your puzzle input). Each game is listed with its ID number (like the 11 in Game 11: ...) followed by a semicolon-separated list of subsets of cubes that were revealed from the bag (like 3 red, 5 green, 4 blue).
|
||||
|
||||
For example, the record of a few games might look like this:
|
||||
```
|
||||
Game 1: 3 blue, 4 red; 1 red, 2 green, 6 blue; 2 green
|
||||
Game 2: 1 blue, 2 green; 3 green, 4 blue, 1 red; 1 green, 1 blue
|
||||
Game 3: 8 green, 6 blue, 20 red; 5 blue, 4 red, 13 green; 5 green, 1 red
|
||||
Game 4: 1 green, 3 red, 6 blue; 3 green, 6 red; 3 green, 15 blue, 14 red
|
||||
Game 5: 6 red, 1 blue, 3 green; 2 blue, 1 red, 2 green
|
||||
```
|
||||
In game 1, three sets of cubes are revealed from the bag (and then put back again). The first set is 3 blue cubes and 4 red cubes; the second set is 1 red cube, 2 green cubes, and 6 blue cubes; the third set is only 2 green cubes.
|
||||
|
||||
The Elf would first like to know which games would have been possible if the bag contained only 12 red cubes, 13 green cubes, and 14 blue cubes?
|
||||
|
||||
In the example above, games 1, 2, and 5 would have been possible if the bag had been loaded with that configuration. However, game 3 would have been impossible because at one point the Elf showed you 20 red cubes at once; similarly, game 4 would also have been impossible because the Elf showed you 15 blue cubes at once. If you add up the IDs of the games that would have been possible, you get 8.
|
||||
|
||||
Determine which games would have been possible if the bag had been loaded with only 12 red cubes, 13 green cubes, and 14 blue cubes. What is the sum of the IDs of those games?
|
||||
|
||||
--- Part Two ---
|
||||
The Elf says they've stopped producing snow because they aren't getting any water! He isn't sure why the water stopped; however, he can show you how to get to the water source to check it out for yourself. It's just up ahead!
|
||||
|
||||
As you continue your walk, the Elf poses a second question: in each game you played, what is the fewest number of cubes of each color that could have been in the bag to make the game possible?
|
||||
|
||||
Again consider the example games from earlier:
|
||||
```
|
||||
Game 1: 3 blue, 4 red; 1 red, 2 green, 6 blue; 2 green
|
||||
Game 2: 1 blue, 2 green; 3 green, 4 blue, 1 red; 1 green, 1 blue
|
||||
Game 3: 8 green, 6 blue, 20 red; 5 blue, 4 red, 13 green; 5 green, 1 red
|
||||
Game 4: 1 green, 3 red, 6 blue; 3 green, 6 red; 3 green, 15 blue, 14 red
|
||||
Game 5: 6 red, 1 blue, 3 green; 2 blue, 1 red, 2 green
|
||||
```
|
||||
In game 1, the game could have been played with as few as 4 red, 2 green, and 6 blue cubes. If any color had even one fewer cube, the game would have been impossible.
|
||||
Game 2 could have been played with a minimum of 1 red, 3 green, and 4 blue cubes.
|
||||
Game 3 must have been played with at least 20 red, 13 green, and 6 blue cubes.
|
||||
Game 4 required at least 14 red, 3 green, and 15 blue cubes.
|
||||
Game 5 needed no fewer than 6 red, 3 green, and 2 blue cubes in the bag.
|
||||
The power of a set of cubes is equal to the numbers of red, green, and blue cubes multiplied together. The power of the minimum set of cubes in game 1 is 48. In games 2-5 it was 12, 1560, 630, and 36, respectively. Adding up these five powers produces the sum 2286.
|
||||
|
||||
For each game, find the minimum set of cubes that must have been present. What is the sum of the power of these sets?
|
||||
@@ -1 +0,0 @@
|
||||
Paste any inputs into this file.
|
||||
@@ -1 +0,0 @@
|
||||
# Day 20 Puzzle Text.
|
||||
@@ -1 +0,0 @@
|
||||
Paste any inputs into this file.
|
||||
@@ -1 +0,0 @@
|
||||
# Day 21 Puzzle Text.
|
||||
@@ -1 +0,0 @@
|
||||
Paste any inputs into this file.
|
||||
@@ -1 +0,0 @@
|
||||
# Day 22 Puzzle Text.
|
||||
@@ -1 +0,0 @@
|
||||
Paste any inputs into this file.
|
||||
@@ -1 +0,0 @@
|
||||
# Day 23 Puzzle Text.
|
||||
@@ -1 +0,0 @@
|
||||
Paste any inputs into this file.
|
||||
@@ -1 +0,0 @@
|
||||
# Day 24 Puzzle Text.
|
||||
@@ -1 +0,0 @@
|
||||
Paste any inputs into this file.
|
||||
@@ -1 +0,0 @@
|
||||
# Day 25 Puzzle Text.
|
||||
@@ -1,140 +0,0 @@
|
||||
.679.....662....71............................805..........862.680...................................................................687....
|
||||
............*....-..811..........846..855......*.............*..$........230.92@............................=.....................92........
|
||||
..........360..........#....664.....=.*...881...677...934.780.......426.*..........8......654.....*959.....539..........21.........*........
|
||||
.....................+.........*......379..*.........*.........=.........969........*........*.976..............872....*....../....579......
|
||||
.......566......652...809....482.394......492..303.650..../...38....%...............106...385..................#.....793..484.865...........
|
||||
......*...........*................*..347.......*.........220.....349...691...392*..................18..797.......................+.........
|
||||
.....11......890........870.......156............733.................../..........921.....................*......*.............203..........
|
||||
.............#...238.....*...........................188......294./58........408...............677.......778....104.903............%........
|
||||
.411+...828.......*.....706.....249..=.....638...848*...........%...............*948............*.....+......+...........917.......817...346
|
||||
................69.................*..310.*....@..........118*......428=..785...................931...217.....934....475...@.145........*...
|
||||
...844.885.........#66...........587.......74...773...........194......../.........&107................................%...............375..
|
||||
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|
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|
||||
@@ -1,58 +0,0 @@
|
||||
# Day 3 Puzzle Text.
|
||||
--- Day 3: Gear Ratios ---
|
||||
You and the Elf eventually reach a gondola lift station; he says the gondola lift will take you up to the water source, but this is as far as he can bring you. You go inside.
|
||||
|
||||
It doesn't take long to find the gondolas, but there seems to be a problem: they're not moving.
|
||||
|
||||
"Aaah!"
|
||||
|
||||
You turn around to see a slightly-greasy Elf with a wrench and a look of surprise. "Sorry, I wasn't expecting anyone! The gondola lift isn't working right now; it'll still be a while before I can fix it." You offer to help.
|
||||
|
||||
The engineer explains that an engine part seems to be missing from the engine, but nobody can figure out which one. If you can add up all the part numbers in the engine schematic, it should be easy to work out which part is missing.
|
||||
|
||||
The engine schematic (your puzzle input) consists of a visual representation of the engine. There are lots of numbers and symbols you don't really understand, but apparently any number adjacent to a symbol, even diagonally, is a "part number" and should be included in your sum. (Periods (.) do not count as a symbol.)
|
||||
|
||||
Here is an example engine schematic:
|
||||
```
|
||||
467..114..
|
||||
...*......
|
||||
..35..633.
|
||||
......#...
|
||||
617*......
|
||||
.....+.58.
|
||||
..592.....
|
||||
......755.
|
||||
...$.*....
|
||||
.664.598..
|
||||
```
|
||||
In this schematic, two numbers are not part numbers because they are not adjacent to a symbol: 114 (top right) and 58 (middle right). Every other number is adjacent to a symbol and so is a part number; their sum is 4361.
|
||||
|
||||
Of course, the actual engine schematic is much larger. What is the sum of all of the part numbers in the engine schematic?
|
||||
|
||||
--- Part Two ---
|
||||
The engineer finds the missing part and installs it in the engine! As the engine springs to life, you jump in the closest gondola, finally ready to ascend to the water source.
|
||||
|
||||
You don't seem to be going very fast, though. Maybe something is still wrong? Fortunately, the gondola has a phone labeled "help", so you pick it up and the engineer answers.
|
||||
|
||||
Before you can explain the situation, she suggests that you look out the window. There stands the engineer, holding a phone in one hand and waving with the other. You're going so slowly that you haven't even left the station. You exit the gondola.
|
||||
|
||||
The missing part wasn't the only issue - one of the gears in the engine is wrong. A gear is any * symbol that is adjacent to exactly two part numbers. Its gear ratio is the result of multiplying those two numbers together.
|
||||
|
||||
This time, you need to find the gear ratio of every gear and add them all up so that the engineer can figure out which gear needs to be replaced.
|
||||
|
||||
Consider the same engine schematic again:
|
||||
```
|
||||
467..114..
|
||||
...*......
|
||||
..35..633.
|
||||
......#...
|
||||
617*......
|
||||
.....+.58.
|
||||
..592.....
|
||||
......755.
|
||||
...$.*....
|
||||
.664.598..
|
||||
```
|
||||
In this schematic, there are two gears. The first is in the top left; it has part numbers 467 and 35, so its gear ratio is 16345. The second gear is in the lower right; its gear ratio is 451490. (The * adjacent to 617 is not a gear because it is only adjacent to one part number.) Adding up all of the gear ratios produces 467835.
|
||||
|
||||
What is the sum of all of the gear ratios in your engine schematic?
|
||||
@@ -1,209 +0,0 @@
|
||||
Card 1: 99 46 62 92 60 37 52 56 41 31 | 83 40 31 33 46 3 10 39 82 8 64 35 5 63 60 72 48 87 11 81 95 34 97 37 99
|
||||
Card 2: 98 96 50 60 7 40 83 93 55 26 | 45 38 47 98 32 50 55 35 93 11 97 53 74 83 99 60 73 56 40 58 96 66 90 26 7
|
||||
Card 3: 82 8 12 15 53 23 29 61 5 21 | 21 73 5 65 44 29 61 97 15 4 90 76 53 91 13 27 9 11 2 75 22 92 95 82 86
|
||||
Card 4: 68 22 77 52 23 60 57 31 74 38 | 22 38 68 79 52 23 40 57 10 74 31 83 24 60 95 17 78 89 39 37 87 26 77 63 54
|
||||
Card 5: 94 23 38 14 31 47 8 15 19 79 | 94 45 21 70 43 95 79 38 19 67 24 62 71 84 14 87 63 47 36 26 8 66 31 15 23
|
||||
Card 6: 37 56 14 26 46 19 58 99 41 55 | 95 25 39 19 26 99 21 11 56 46 3 53 33 36 4 15 55 28 58 37 14 50 94 49 44
|
||||
Card 7: 68 13 44 81 92 43 9 78 85 62 | 19 8 91 71 76 54 72 87 68 16 46 94 92 63 62 67 28 84 18 88 24 14 37 30 81
|
||||
Card 8: 73 86 24 66 38 95 71 90 88 22 | 44 88 30 24 97 34 99 66 94 26 86 90 52 55 84 7 78 40 71 73 50 95 61 38 22
|
||||
Card 9: 98 71 24 85 11 74 22 35 65 59 | 18 43 54 36 71 86 22 7 85 78 46 6 77 62 38 98 83 65 88 37 84 70 72 59 23
|
||||
Card 10: 5 87 77 60 62 86 42 33 43 76 | 86 19 26 77 5 60 21 34 44 76 33 85 78 67 79 13 18 42 87 59 54 43 62 65 16
|
||||
Card 11: 55 61 40 88 59 58 62 42 9 71 | 83 97 25 49 30 76 82 39 98 5 91 58 38 44 6 90 55 14 62 16 93 15 68 42 70
|
||||
Card 12: 15 25 80 89 26 44 17 56 82 70 | 29 25 15 33 95 89 85 98 82 66 62 38 97 71 26 70 49 64 57 17 35 56 44 46 72
|
||||
Card 13: 72 99 42 47 10 66 17 53 49 57 | 66 89 64 88 1 95 42 53 72 57 83 12 49 21 44 17 24 79 73 10 90 47 82 87 99
|
||||
Card 14: 36 26 75 45 39 10 73 4 52 97 | 17 72 26 4 90 30 10 43 59 64 14 41 34 82 37 25 27 99 32 73 45 75 36 39 93
|
||||
Card 15: 79 15 53 44 50 57 99 55 61 59 | 5 39 6 15 41 4 94 85 13 58 60 24 36 46 57 33 8 30 25 51 22 38 92 79 16
|
||||
Card 16: 1 46 37 33 53 23 83 40 95 57 | 12 60 26 36 22 69 68 86 83 42 53 70 63 5 84 29 75 19 61 55 74 9 32 44 73
|
||||
Card 17: 33 17 50 35 39 95 22 67 76 47 | 44 55 21 3 2 5 51 26 89 39 98 92 29 93 78 42 66 19 28 31 97 81 53 52 86
|
||||
Card 18: 64 15 40 93 58 22 2 53 30 92 | 64 42 72 39 60 29 10 80 70 91 78 79 37 2 48 3 47 32 30 76 84 11 96 18 23
|
||||
Card 19: 97 95 42 67 18 69 54 94 10 5 | 22 45 23 35 92 2 75 21 9 68 51 59 25 27 84 28 89 61 76 63 65 14 43 8 13
|
||||
Card 20: 69 87 4 30 13 63 74 23 83 14 | 26 19 32 64 88 39 25 53 16 48 41 89 22 14 15 83 20 43 59 92 90 5 75 38 37
|
||||
Card 21: 67 33 16 11 42 10 27 46 72 37 | 52 87 92 8 91 66 38 80 86 35 54 6 72 4 99 25 70 16 55 75 57 30 44 69 45
|
||||
Card 22: 27 82 94 86 50 91 21 70 14 76 | 10 60 59 35 51 71 34 44 93 28 46 27 12 84 75 74 1 39 79 53 86 37 4 99 8
|
||||
Card 23: 95 97 54 38 34 16 15 2 64 6 | 96 74 69 62 35 28 88 30 48 84 99 73 43 21 89 24 1 13 58 71 5 19 72 47 12
|
||||
Card 24: 96 44 79 9 73 3 52 17 63 98 | 61 46 10 24 29 62 55 51 19 83 8 70 26 59 76 48 25 69 2 97 43 22 42 53 54
|
||||
Card 25: 41 19 88 60 86 50 18 95 24 4 | 41 88 16 33 49 50 95 53 76 35 4 24 45 94 55 9 51 99 60 18 40 93 78 86 19
|
||||
Card 26: 5 21 3 15 92 96 62 55 41 40 | 63 77 40 15 65 3 96 78 37 4 97 8 33 6 73 11 7 92 55 5 62 72 27 18 47
|
||||
Card 27: 71 24 54 64 30 27 26 57 55 85 | 35 47 59 71 54 55 37 60 69 77 82 65 21 57 5 24 46 4 49 95 15 3 18 27 64
|
||||
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|
||||
Card 198: 75 36 27 87 31 34 77 74 95 69 | 75 11 36 70 69 34 45 16 43 61 95 27 81 85 77 29 74 31 87 8 49 94 37 40 3
|
||||
Card 199: 16 63 44 31 14 38 46 81 64 94 | 48 78 83 19 52 91 96 51 11 1 66 45 14 61 8 16 5 99 55 54 79 4 71 41 60
|
||||
Card 200: 6 38 13 5 89 32 29 52 48 58 | 29 1 86 79 55 28 98 44 89 4 21 84 3 20 71 48 95 72 14 69 31 39 6 33 13
|
||||
Card 201: 93 62 78 75 26 45 90 92 7 9 | 58 57 32 56 45 52 26 99 28 30 35 2 24 33 8 67 97 65 60 21 15 98 78 23 38
|
||||
Card 202: 11 72 93 47 60 35 85 78 26 20 | 64 76 9 13 31 3 4 90 33 73 63 70 25 30 29 98 7 71 92 68 99 74 52 43 62
|
||||
Card 203: 88 3 9 18 73 10 87 65 17 42 | 33 80 20 61 44 96 6 88 10 47 72 99 71 50 95 21 87 17 34 81 51 2 65 19 36
|
||||
Card 204: 28 8 64 35 68 84 51 1 58 53 | 68 76 79 75 18 89 90 69 25 72 58 71 83 56 82 32 93 99 16 53 64 6 84 86 98
|
||||
Card 205: 45 41 57 2 55 54 96 19 46 89 | 13 64 57 20 72 27 21 81 40 75 22 61 46 99 68 89 82 42 67 55 70 39 78 88 15
|
||||
Card 206: 42 38 95 66 18 93 79 45 49 37 | 80 61 43 70 31 17 13 16 49 73 20 44 90 5 39 97 82 15 68 14 57 21 72 35 79
|
||||
Card 207: 91 28 69 89 54 6 60 19 44 77 | 27 94 51 47 46 84 99 31 16 58 92 80 67 95 73 5 12 88 40 18 41 72 24 93 39
|
||||
Card 208: 9 37 78 74 26 99 76 48 16 54 | 98 46 20 92 83 52 1 44 84 41 61 66 74 70 69 71 18 68 77 24 49 31 6 25 50
|
||||
Card 209: 2 10 11 47 25 81 75 61 27 4 | 79 45 43 29 55 16 91 68 88 52 90 21 13 37 59 31 5 1 14 17 86 84 64 60 70
|
||||
@@ -1,65 +0,0 @@
|
||||
# Day 4 Puzzle Text.
|
||||
|
||||
--- Day 4: Scratchcards ---
|
||||
The gondola takes you up. Strangely, though, the ground doesn't seem to be coming with you; you're not climbing a mountain. As the circle of Snow Island recedes below you, an entire new landmass suddenly appears above you! The gondola carries you to the surface of the new island and lurches into the station.
|
||||
|
||||
As you exit the gondola, the first thing you notice is that the air here is much warmer than it was on Snow Island. It's also quite humid. Is this where the water source is?
|
||||
|
||||
The next thing you notice is an Elf sitting on the floor across the station in what seems to be a pile of colorful square cards.
|
||||
|
||||
"Oh! Hello!" The Elf excitedly runs over to you. "How may I be of service?" You ask about water sources.
|
||||
|
||||
"I'm not sure; I just operate the gondola lift. That does sound like something we'd have, though - this is Island Island, after all! I bet the gardener would know. He's on a different island, though - er, the small kind surrounded by water, not the floating kind. We really need to come up with a better naming scheme. Tell you what: if you can help me with something quick, I'll let you borrow my boat and you can go visit the gardener. I got all these scratchcards as a gift, but I can't figure out what I've won."
|
||||
|
||||
The Elf leads you over to the pile of colorful cards. There, you discover dozens of scratchcards, all with their opaque covering already scratched off. Picking one up, it looks like each card has two lists of numbers separated by a vertical bar (|): a list of winning numbers and then a list of numbers you have. You organize the information into a table (your puzzle input).
|
||||
|
||||
As far as the Elf has been able to figure out, you have to figure out which of the numbers you have appear in the list of winning numbers. The first match makes the card worth one point and each match after the first doubles the point value of that card.
|
||||
|
||||
For example:
|
||||
```
|
||||
Card 1: 41 48 83 86 17 | 83 86 6 31 17 9 48 53
|
||||
Card 2: 13 32 20 16 61 | 61 30 68 82 17 32 24 19
|
||||
Card 3: 1 21 53 59 44 | 69 82 63 72 16 21 14 1
|
||||
Card 4: 41 92 73 84 69 | 59 84 76 51 58 5 54 83
|
||||
Card 5: 87 83 26 28 32 | 88 30 70 12 93 22 82 36
|
||||
Card 6: 31 18 13 56 72 | 74 77 10 23 35 67 36 11
|
||||
```
|
||||
In the above example, card 1 has five winning numbers (41, 48, 83, 86, and 17) and eight numbers you have (83, 86, 6, 31, 17, 9, 48, and 53). Of the numbers you have, four of them (48, 83, 17, and 86) are winning numbers! That means card 1 is worth 8 points (1 for the first match, then doubled three times for each of the three matches after the first).
|
||||
|
||||
Card 2 has two winning numbers (32 and 61), so it is worth 2 points.
|
||||
Card 3 has two winning numbers (1 and 21), so it is worth 2 points.
|
||||
Card 4 has one winning number (84), so it is worth 1 point.
|
||||
Card 5 has no winning numbers, so it is worth no points.
|
||||
Card 6 has no winning numbers, so it is worth no points.
|
||||
So, in this example, the Elf's pile of scratchcards is worth 13 points.
|
||||
|
||||
Take a seat in the large pile of colorful cards. How many points are they worth in total?
|
||||
|
||||
--- Part Two ---
|
||||
Just as you're about to report your findings to the Elf, one of you realizes that the rules have actually been printed on the back of every card this whole time.
|
||||
|
||||
There's no such thing as "points". Instead, scratchcards only cause you to win more scratchcards equal to the number of winning numbers you have.
|
||||
|
||||
Specifically, you win copies of the scratchcards below the winning card equal to the number of matches. So, if card 10 were to have 5 matching numbers, you would win one copy each of cards 11, 12, 13, 14, and 15.
|
||||
|
||||
Copies of scratchcards are scored like normal scratchcards and have the same card number as the card they copied. So, if you win a copy of card 10 and it has 5 matching numbers, it would then win a copy of the same cards that the original card 10 won: cards 11, 12, 13, 14, and 15. This process repeats until none of the copies cause you to win any more cards. (Cards will never make you copy a card past the end of the table.)
|
||||
|
||||
This time, the above example goes differently:
|
||||
```
|
||||
Card 1: 41 48 83 86 17 | 83 86 6 31 17 9 48 53
|
||||
Card 2: 13 32 20 16 61 | 61 30 68 82 17 32 24 19
|
||||
Card 3: 1 21 53 59 44 | 69 82 63 72 16 21 14 1
|
||||
Card 4: 41 92 73 84 69 | 59 84 76 51 58 5 54 83
|
||||
Card 5: 87 83 26 28 32 | 88 30 70 12 93 22 82 36
|
||||
Card 6: 31 18 13 56 72 | 74 77 10 23 35 67 36 11
|
||||
```
|
||||
Card 1 has four matching numbers, so you win one copy each of the next four cards: cards 2, 3, 4, and 5.
|
||||
Your original card 2 has two matching numbers, so you win one copy each of cards 3 and 4.
|
||||
Your copy of card 2 also wins one copy each of cards 3 and 4.
|
||||
Your four instances of card 3 (one original and three copies) have two matching numbers, so you win four copies each of cards 4 and 5.
|
||||
Your eight instances of card 4 (one original and seven copies) have one matching number, so you win eight copies of card 5.
|
||||
Your fourteen instances of card 5 (one original and thirteen copies) have no matching numbers and win no more cards.
|
||||
Your one instance of card 6 (one original) has no matching numbers and wins no more cards.
|
||||
Once all of the originals and copies have been processed, you end up with 1 instance of card 1, 2 instances of card 2, 4 instances of card 3, 8 instances of card 4, 14 instances of card 5, and 1 instance of card 6. In total, this example pile of scratchcards causes you to ultimately have 30 scratchcards!
|
||||
|
||||
Process all of the original and copied scratchcards until no more scratchcards are won. Including the original set of scratchcards, how many total scratchcards do you end up with?
|
||||
@@ -1,207 +0,0 @@
|
||||
seeds: 104847962 3583832 1212568077 114894281 3890048781 333451605 1520059863 217361990 310308287 12785610 3492562455 292968049 1901414562 516150861 2474299950 152867148 3394639029 59690410 862612782 176128197
|
||||
|
||||
seed-to-soil map:
|
||||
2023441036 2044296880 396074363
|
||||
2419515399 3839972576 454994720
|
||||
274688417 699823315 258919718
|
||||
533608135 0 431744151
|
||||
965352286 431744151 161125324
|
||||
3391658630 2936663910 903308666
|
||||
200749950 1177785526 73938467
|
||||
2874510119 1440389999 315892137
|
||||
1916089471 2440371243 20593195
|
||||
0 977035576 200749950
|
||||
1936682666 1957538510 86758370
|
||||
1440389999 2902130623 34533287
|
||||
1126477610 592869475 106953840
|
||||
3190402256 1756282136 201256374
|
||||
1474923286 2460964438 441166185
|
||||
1233431450 958743033 18292543
|
||||
|
||||
soil-to-fertilizer map:
|
||||
1479837493 1486696129 480988794
|
||||
3637384566 3730606485 267472485
|
||||
70483107 174821741 921411492
|
||||
3586173142 3071290434 51211424
|
||||
1960826287 1166716340 319979789
|
||||
3952751562 3398939385 283772589
|
||||
0 1096233233 70483107
|
||||
1166716340 1967684923 313121153
|
||||
3904857051 3682711974 47894511
|
||||
2902018973 3122501858 276437527
|
||||
991894599 0 174821741
|
||||
3416901681 2902018973 169271461
|
||||
3178456500 3998078970 238445181
|
||||
|
||||
fertilizer-to-water map:
|
||||
4274676882 2765984054 20290414
|
||||
3642266392 2324011621 382224743
|
||||
3159410287 4157769177 137198119
|
||||
3437898965 2786274468 204367427
|
||||
2136710407 1497332580 94233249
|
||||
4121681656 2706236364 59747690
|
||||
2362529584 1912615374 411396247
|
||||
4181429346 3961317447 93247536
|
||||
270199336 152334204 473273308
|
||||
1977000445 3853228854 108088593
|
||||
2085089038 1304420652 51621369
|
||||
1407624846 2990641895 345516575
|
||||
908901118 638701782 307729932
|
||||
3296608406 1356042021 141290559
|
||||
743472644 625607512 13094270
|
||||
2230943656 3721642926 131585928
|
||||
0 946431714 270199336
|
||||
2773925831 3336158470 385484456
|
||||
4024491135 1815424853 97190521
|
||||
756566914 0 152334204
|
||||
1304420652 4054564983 103204194
|
||||
1753141421 1591565829 223859024
|
||||
|
||||
water-to-light map:
|
||||
139728365 0 27290780
|
||||
4161521920 2345099742 65970280
|
||||
3549264451 2411070022 15588060
|
||||
846553766 4012820620 62155872
|
||||
3276913175 3215861697 30588309
|
||||
7256118 139495191 27523954
|
||||
3653026602 3908255344 104565276
|
||||
2007806695 3246450006 21131889
|
||||
426542603 2677155019 292403006
|
||||
3265259672 4167732422 11653503
|
||||
2959802238 3267581895 77570040
|
||||
2766290955 2562319792 114835227
|
||||
779480399 3352881787 3460872
|
||||
718945609 995514267 33385697
|
||||
908709638 1675494216 164534584
|
||||
1547970680 1643941067 31553149
|
||||
1579523829 2009572806 335526936
|
||||
782941271 2969558025 63612495
|
||||
752331306 465171569 27149093
|
||||
237284175 1454682639 189258428
|
||||
3757591878 3724399189 59699158
|
||||
2881126182 3784098347 78676056
|
||||
1520219770 2426658082 27750910
|
||||
3564852511 1366508548 88174091
|
||||
2383999106 3681454004 42945185
|
||||
4287237444 3345151935 7729852
|
||||
2242562254 3649815914 31638090
|
||||
3307501484 753751300 241762967
|
||||
34780072 27290780 104948293
|
||||
2028938584 3033170520 182691177
|
||||
3037372278 237284175 227887394
|
||||
3817291036 3356342659 5821939
|
||||
0 132239073 7256118
|
||||
1360895538 1266240382 51601463
|
||||
3823112975 492320662 230498145
|
||||
2274200344 1840028800 109798762
|
||||
4053611120 2454408992 107910800
|
||||
2426944291 1317841845 48666703
|
||||
1073244222 3362164598 287651316
|
||||
1457977942 1203998554 62241828
|
||||
2591192365 1028899964 175098590
|
||||
1412497001 3862774403 45480941
|
||||
2475610994 4179385925 115581371
|
||||
4227492200 1949827562 59745244
|
||||
1915050765 4074976492 92755930
|
||||
2211629761 722818807 30932493
|
||||
|
||||
light-to-temperature map:
|
||||
3741602262 2758947303 142653736
|
||||
628739598 2901601039 50811783
|
||||
1842260329 1084521599 145122645
|
||||
2990409993 3493390513 390865485
|
||||
4190333929 4159289690 83510514
|
||||
984282519 2952412822 202948629
|
||||
1826968660 3155361451 15291669
|
||||
1329953386 2288178120 328046945
|
||||
830513455 3304469747 74190775
|
||||
1187231148 2616225065 142722238
|
||||
2705943734 836690664 247830935
|
||||
3381275478 1332397059 281233458
|
||||
679551381 605080109 150962074
|
||||
1987382974 756042183 44013157
|
||||
4159289690 4263923057 31044239
|
||||
1772730322 3250231409 54238338
|
||||
2549609472 2131843858 156334262
|
||||
1658000331 3378660522 114729991
|
||||
298584178 195831363 330155420
|
||||
3662508936 525986783 79093326
|
||||
4273844443 4242800204 21122853
|
||||
2953774669 800055340 36635324
|
||||
2031396131 1613630517 518213341
|
||||
265644560 162891745 32939618
|
||||
162891745 1229644244 102752815
|
||||
904704230 3170653120 79578289
|
||||
|
||||
temperature-to-humidity map:
|
||||
671484955 1144907174 532089323
|
||||
1414132335 1960778188 125717021
|
||||
2631474761 2586973888 1058655511
|
||||
1991131055 744338927 221864400
|
||||
2212995455 192320896 28611061
|
||||
192320896 2186552402 224875394
|
||||
2241895588 966203327 169532208
|
||||
1744764149 431490014 67442815
|
||||
1812206964 2106058626 80493776
|
||||
516655377 1135735535 9171639
|
||||
1559412773 1775426812 185351376
|
||||
2622156499 2577655626 9318262
|
||||
1203574278 220931957 210558057
|
||||
3690130272 4094120212 156346211
|
||||
3946017132 3645629399 348950164
|
||||
525827016 598680988 145657939
|
||||
1892700740 1676996497 98430315
|
||||
3846476483 3994579563 99540649
|
||||
2577655626 4250466423 44500873
|
||||
1539849356 2086495209 19563417
|
||||
2241606516 598391916 289072
|
||||
417196290 498932829 99459087
|
||||
|
||||
humidity-to-location map:
|
||||
547577859 2546258172 54451455
|
||||
2564186976 3913248498 28610653
|
||||
2460249359 129990669 103937617
|
||||
257798579 3257354132 21143365
|
||||
511274864 3365252234 24536388
|
||||
412475023 3389788622 98799841
|
||||
2843712442 3615348771 251219053
|
||||
0 2984989380 24111266
|
||||
1074541266 4051128852 126947592
|
||||
3109497668 265707418 9056683
|
||||
3268495430 1450483293 18654108
|
||||
1298820860 954974424 392849235
|
||||
1691670095 1469137401 93027519
|
||||
3886041222 2131196811 39611681
|
||||
2797706800 1347823659 46005642
|
||||
3767841776 233928286 19835810
|
||||
743957513 253764096 11943322
|
||||
4068806743 3941859151 109269701
|
||||
2754107115 1910801576 16288912
|
||||
1223331059 2244121482 75489801
|
||||
3118554351 1393829301 56653992
|
||||
3094931495 3009100646 14566173
|
||||
3991994741 893524279 61450145
|
||||
692486724 2192650693 51470789
|
||||
1008564686 2952439802 32549578
|
||||
535811252 3603582164 11766607
|
||||
1784697614 2698363640 44335967
|
||||
755900835 2353038285 193219887
|
||||
278941944 1777268497 133533079
|
||||
3925652903 3488588463 66341838
|
||||
3558101581 2742699607 209740195
|
||||
949120722 3305808270 59443964
|
||||
2624116446 0 129990669
|
||||
1939852817 274764101 520396542
|
||||
3175208343 2037909724 93287087
|
||||
3287149538 2600709627 97654013
|
||||
650681177 1562164920 41805547
|
||||
3787677586 795160643 98363636
|
||||
1829033581 1927090488 110819236
|
||||
4053444886 3897886641 15361857
|
||||
1201488858 2170808492 21842201
|
||||
3384803551 1603970467 173298030
|
||||
2770396027 3278497497 27310773
|
||||
1041114264 2319611283 33427002
|
||||
602029314 3554930301 48651863
|
||||
2592797629 3866567824 31318817
|
||||
24111266 3023666819 233687313
|
||||
@@ -1,116 +0,0 @@
|
||||
# Day 5 Puzzle Text.
|
||||
--- Day 5: If You Give A Seed A Fertilizer ---
|
||||
You take the boat and find the gardener right where you were told he would be: managing a giant "garden" that looks more to you like a farm.
|
||||
|
||||
"A water source? Island Island is the water source!" You point out that Snow Island isn't receiving any water.
|
||||
|
||||
"Oh, we had to stop the water because we ran out of sand to filter it with! Can't make snow with dirty water. Don't worry, I'm sure we'll get more sand soon; we only turned off the water a few days... weeks... oh no." His face sinks into a look of horrified realization.
|
||||
|
||||
"I've been so busy making sure everyone here has food that I completely forgot to check why we stopped getting more sand! There's a ferry leaving soon that is headed over in that direction - it's much faster than your boat. Could you please go check it out?"
|
||||
|
||||
You barely have time to agree to this request when he brings up another. "While you wait for the ferry, maybe you can help us with our food production problem. The latest Island Island Almanac just arrived and we're having trouble making sense of it."
|
||||
|
||||
The almanac (your puzzle input) lists all of the seeds that need to be planted. It also lists what type of soil to use with each kind of seed, what type of fertilizer to use with each kind of soil, what type of water to use with each kind of fertilizer, and so on. Every type of seed, soil, fertilizer and so on is identified with a number, but numbers are reused by each category - that is, soil 123 and fertilizer 123 aren't necessarily related to each other.
|
||||
|
||||
For example:
|
||||
```
|
||||
seeds: 79 14 55 13
|
||||
|
||||
seed-to-soil map:
|
||||
50 98 2
|
||||
52 50 48
|
||||
|
||||
soil-to-fertilizer map:
|
||||
0 15 37
|
||||
37 52 2
|
||||
39 0 15
|
||||
|
||||
fertilizer-to-water map:
|
||||
49 53 8
|
||||
0 11 42
|
||||
42 0 7
|
||||
57 7 4
|
||||
|
||||
water-to-light map:
|
||||
88 18 7
|
||||
18 25 70
|
||||
|
||||
light-to-temperature map:
|
||||
45 77 23
|
||||
81 45 19
|
||||
68 64 13
|
||||
|
||||
temperature-to-humidity map:
|
||||
0 69 1
|
||||
1 0 69
|
||||
|
||||
humidity-to-location map:
|
||||
60 56 37
|
||||
56 93 4
|
||||
```
|
||||
The almanac starts by listing which seeds need to be planted: seeds 79, 14, 55, and 13.
|
||||
|
||||
The rest of the almanac contains a list of maps which describe how to convert numbers from a source category into numbers in a destination category. That is, the section that starts with seed-to-soil map: describes how to convert a seed number (the source) to a soil number (the destination). This lets the gardener and his team know which soil to use with which seeds, which water to use with which fertilizer, and so on.
|
||||
|
||||
Rather than list every source number and its corresponding destination number one by one, the maps describe entire ranges of numbers that can be converted. Each line within a map contains three numbers: the destination range start, the source range start, and the range length.
|
||||
|
||||
Consider again the example seed-to-soil map:
|
||||
```
|
||||
50 98 2
|
||||
52 50 48
|
||||
```
|
||||
The first line has a destination range start of 50, a source range start of 98, and a range length of 2. This line means that the source range starts at 98 and contains two values: 98 and 99. The destination range is the same length, but it starts at 50, so its two values are 50 and 51. With this information, you know that seed number 98 corresponds to soil number 50 and that seed number 99 corresponds to soil number 51.
|
||||
|
||||
The second line means that the source range starts at 50 and contains 48 values: 50, 51, ..., 96, 97. This corresponds to a destination range starting at 52 and also containing 48 values: 52, 53, ..., 98, 99. So, seed number 53 corresponds to soil number 55.
|
||||
|
||||
Any source numbers that aren't mapped correspond to the same destination number. So, seed number 10 corresponds to soil number 10.
|
||||
|
||||
So, the entire list of seed numbers and their corresponding soil numbers looks like this:
|
||||
```
|
||||
seed soil
|
||||
0 0
|
||||
1 1
|
||||
... ...
|
||||
48 48
|
||||
49 49
|
||||
50 52
|
||||
51 53
|
||||
... ...
|
||||
96 98
|
||||
97 99
|
||||
98 50
|
||||
99 51
|
||||
```
|
||||
With this map, you can look up the soil number required for each initial seed number:
|
||||
```
|
||||
Seed number 79 corresponds to soil number 81.
|
||||
Seed number 14 corresponds to soil number 14.
|
||||
Seed number 55 corresponds to soil number 57.
|
||||
Seed number 13 corresponds to soil number 13.
|
||||
```
|
||||
The gardener and his team want to get started as soon as possible, so they'd like to know the closest location that needs a seed. Using these maps, find the lowest location number that corresponds to any of the initial seeds. To do this, you'll need to convert each seed number through other categories until you can find its corresponding location number. In this example, the corresponding types are:
|
||||
```
|
||||
Seed 79, soil 81, fertilizer 81, water 81, light 74, temperature 78, humidity 78, location 82.
|
||||
Seed 14, soil 14, fertilizer 53, water 49, light 42, temperature 42, humidity 43, location 43.
|
||||
Seed 55, soil 57, fertilizer 57, water 53, light 46, temperature 82, humidity 82, location 86.
|
||||
Seed 13, soil 13, fertilizer 52, water 41, light 34, temperature 34, humidity 35, location 35.
|
||||
```
|
||||
So, the lowest location number in this example is 35.
|
||||
|
||||
What is the lowest location number that corresponds to any of the initial seed numbers?
|
||||
|
||||
|
||||
--- Part Two ---
|
||||
Everyone will starve if you only plant such a small number of seeds. Re-reading the almanac, it looks like the seeds: line actually describes ranges of seed numbers.
|
||||
|
||||
The values on the initial seeds: line come in pairs. Within each pair, the first value is the start of the range and the second value is the length of the range. So, in the first line of the example above:
|
||||
```
|
||||
seeds: 79 14 55 13
|
||||
```
|
||||
This line describes two ranges of seed numbers to be planted in the garden. The first range starts with seed number 79 and contains 14 values: 79, 80, ..., 91, 92. The second range starts with seed number 55 and contains 13 values: 55, 56, ..., 66, 67.
|
||||
|
||||
Now, rather than considering four seed numbers, you need to consider a total of 27 seed numbers.
|
||||
|
||||
In the above example, the lowest location number can be obtained from seed number 82, which corresponds to soil 84, fertilizer 84, water 84, light 77, temperature 45, humidity 46, and location 46. So, the lowest location number is 46.
|
||||
|
||||
Consider all of the initial seed numbers listed in the ranges on the first line of the almanac. What is the lowest location number that corresponds to any of the initial seed numbers?
|
||||
@@ -1,2 +0,0 @@
|
||||
Time: 44 82 69 81
|
||||
Distance: 202 1076 1138 1458
|
||||
@@ -1,58 +0,0 @@
|
||||
# Day 6 Puzzle Text.
|
||||
|
||||
--- Day 6: Wait For It ---
|
||||
The ferry quickly brings you across Island Island. After asking around, you discover that there is indeed normally a large pile of sand somewhere near here, but you don't see anything besides lots of water and the small island where the ferry has docked.
|
||||
|
||||
As you try to figure out what to do next, you notice a poster on a wall near the ferry dock. "Boat races! Open to the public! Grand prize is an all-expenses-paid trip to Desert Island!" That must be where the sand comes from! Best of all, the boat races are starting in just a few minutes.
|
||||
|
||||
You manage to sign up as a competitor in the boat races just in time. The organizer explains that it's not really a traditional race - instead, you will get a fixed amount of time during which your boat has to travel as far as it can, and you win if your boat goes the farthest.
|
||||
|
||||
As part of signing up, you get a sheet of paper (your puzzle input) that lists the time allowed for each race and also the best distance ever recorded in that race. To guarantee you win the grand prize, you need to make sure you go farther in each race than the current record holder.
|
||||
|
||||
The organizer brings you over to the area where the boat races are held. The boats are much smaller than you expected - they're actually toy boats, each with a big button on top. Holding down the button charges the boat, and releasing the button allows the boat to move. Boats move faster if their button was held longer, but time spent holding the button counts against the total race time. You can only hold the button at the start of the race, and boats don't move until the button is released.
|
||||
|
||||
For example:
|
||||
```
|
||||
Time: 7 15 30
|
||||
Distance: 9 40 200
|
||||
```
|
||||
This document describes three races:
|
||||
|
||||
- The first race lasts 7 milliseconds. The record distance in this race is 9 millimeters.
|
||||
- The second race lasts 15 milliseconds. The record distance in this race is 40 millimeters.
|
||||
- The third race lasts 30 milliseconds. The record distance in this race is 200 millimeters.
|
||||
Your toy boat has a starting speed of zero millimeters per millisecond. For each whole millisecond you spend at the beginning of the race holding down the button, the boat's speed increases by one millimeter per millisecond.
|
||||
|
||||
So, because the first race lasts 7 milliseconds, you only have a few options:
|
||||
|
||||
Don't hold the button at all (that is, hold it for 0 milliseconds) at the start of the race. The boat won't move; it will have traveled 0 millimeters by the end of the race.
|
||||
Hold the button for 1 millisecond at the start of the race. Then, the boat will travel at a speed of 1 millimeter per millisecond for 6 milliseconds, reaching a total distance traveled of 6 millimeters.
|
||||
- Hold the button for 2 milliseconds, giving the boat a speed of 2 millimeters per millisecond. It will then get 5 milliseconds to move, reaching a total distance of 10 millimeters.
|
||||
- Hold the button for 3 milliseconds. After its remaining 4 milliseconds of travel time, the boat will have gone 12 millimeters.
|
||||
- Hold the button for 4 milliseconds. After its remaining 3 milliseconds of travel time, the boat will have gone 12 millimeters.
|
||||
- Hold the button for 5 milliseconds, causing the boat to travel a total of 10 millimeters.
|
||||
- Hold the button for 6 milliseconds, causing the boat to travel a total of 6 millimeters.
|
||||
- Hold the button for 7 milliseconds. That's the entire duration of the race. You never let go of the button. The boat can't move until you let go of the button. Please make sure you let go of the button so the boat gets to move. 0 millimeters.
|
||||
Since the current record for this race is 9 millimeters, there are actually 4 different ways you could win: you could hold the button for 2, 3, 4, or 5 milliseconds at the start of the race.
|
||||
|
||||
In the second race, you could hold the button for at least 4 milliseconds and at most 11 milliseconds and beat the record, a total of 8 different ways to win.
|
||||
|
||||
In the third race, you could hold the button for at least 11 milliseconds and no more than 19 milliseconds and still beat the record, a total of 9 ways you could win.
|
||||
|
||||
To see how much margin of error you have, determine the number of ways you can beat the record in each race; in this example, if you multiply these values together, you get 288 (4 * 8 * 9).
|
||||
|
||||
Determine the number of ways you could beat the record in each race. What do you get if you multiply these numbers together?
|
||||
|
||||
|
||||
--- Part Two ---
|
||||
As the race is about to start, you realize the piece of paper with race times and record distances you got earlier actually just has very bad kerning. There's really only one race - ignore the spaces between the numbers on each line.
|
||||
|
||||
So, the example from before:
|
||||
|
||||
Time: 7 15 30
|
||||
Distance: 9 40 200
|
||||
...now instead means this:
|
||||
|
||||
Time: 71530
|
||||
Distance: 940200
|
||||
Now, you have to figure out how many ways there are to win this single race. In this example, the race lasts for 71530 milliseconds and the record distance you need to beat is 940200 millimeters. You could hold the button anywhere from 14 to 71516 milliseconds and beat the record, a total of 71503 ways!
|
||||
File diff suppressed because it is too large
Load Diff
@@ -1,56 +0,0 @@
|
||||
|
||||
<article class="day-desc"><h2>--- Day 7: Camel Cards ---</h2><p>Your all-expenses-paid trip turns out to be a one-way, five-minute ride in an <a href="https://en.wikipedia.org/wiki/Airship" target="_blank">airship</a>. (At least it's a <span title="Please only read this sentence while listening to 'The Airship Blackjack' from the Final Fantasy 6 soundtrack."><em>cool</em> airship</span>!) It drops you off at the edge of a vast desert and descends back to Island Island.</p>
|
||||
<p>"Did you bring the parts?"</p>
|
||||
<p>You turn around to see an Elf completely covered in white clothing, wearing goggles, and riding a large <a href="https://en.wikipedia.org/wiki/Dromedary" target="_blank">camel</a>.</p>
|
||||
<p>"Did you bring the parts?" she asks again, louder this time. You aren't sure what parts she's looking for; you're here to figure out why the sand stopped.</p>
|
||||
<p>"The parts! For the sand, yes! Come with me; I will show you." She beckons you onto the camel.</p>
|
||||
<p>After riding a bit across the sands of Desert Island, you can see what look like very large rocks covering half of the horizon. The Elf explains that the rocks are all along the part of Desert Island that is directly above Island Island, making it hard to even get there. Normally, they use big machines to move the rocks and filter the sand, but the machines have broken down because Desert Island recently stopped receiving the <em>parts</em> they need to fix the machines.</p>
|
||||
<p>You've already assumed it'll be your job to figure out why the parts stopped when she asks if you can help. You agree automatically.</p>
|
||||
<p>Because the journey will take a few days, she offers to teach you the game of <em>Camel Cards</em>. Camel Cards is sort of similar to <a href="https://en.wikipedia.org/wiki/List_of_poker_hands" target="_blank">poker</a> except it's designed to be easier to play while riding a camel.</p>
|
||||
<p>In Camel Cards, you get a list of <em>hands</em>, and your goal is to order them based on the <em>strength</em> of each hand. A hand consists of <em>five cards</em> labeled one of <code>A</code>, <code>K</code>, <code>Q</code>, <code>J</code>, <code>T</code>, <code>9</code>, <code>8</code>, <code>7</code>, <code>6</code>, <code>5</code>, <code>4</code>, <code>3</code>, or <code>2</code>. The relative strength of each card follows this order, where <code>A</code> is the highest and <code>2</code> is the lowest.</p>
|
||||
<p>Every hand is exactly one <em>type</em>. From strongest to weakest, they are:</p>
|
||||
<ul>
|
||||
<li><em>Five of a kind</em>, where all five cards have the same label: <code>AAAAA</code></li>
|
||||
<li><em>Four of a kind</em>, where four cards have the same label and one card has a different label: <code>AA8AA</code></li>
|
||||
<li><em>Full house</em>, where three cards have the same label, and the remaining two cards share a different label: <code>23332</code></li>
|
||||
<li><em>Three of a kind</em>, where three cards have the same label, and the remaining two cards are each different from any other card in the hand: <code>TTT98</code></li>
|
||||
<li><em>Two pair</em>, where two cards share one label, two other cards share a second label, and the remaining card has a third label: <code>23432</code></li>
|
||||
<li><em>One pair</em>, where two cards share one label, and the other three cards have a different label from the pair and each other: <code>A23A4</code></li>
|
||||
<li><em>High card</em>, where all cards' labels are distinct: <code>23456</code></li>
|
||||
</ul>
|
||||
<p>Hands are primarily ordered based on type; for example, every <em>full house</em> is stronger than any <em>three of a kind</em>.</p>
|
||||
<p>If two hands have the same type, a second ordering rule takes effect. Start by comparing the <em>first card in each hand</em>. If these cards are different, the hand with the stronger first card is considered stronger. If the first card in each hand have the <em>same label</em>, however, then move on to considering the <em>second card in each hand</em>. If they differ, the hand with the higher second card wins; otherwise, continue with the third card in each hand, then the fourth, then the fifth.</p>
|
||||
<p>So, <code>33332</code> and <code>2AAAA</code> are both <em>four of a kind</em> hands, but <code>33332</code> is stronger because its first card is stronger. Similarly, <code>77888</code> and <code>77788</code> are both a <em>full house</em>, but <code>77888</code> is stronger because its third card is stronger (and both hands have the same first and second card).</p>
|
||||
<p>To play Camel Cards, you are given a list of hands and their corresponding <em>bid</em> (your puzzle input). For example:</p>
|
||||
<pre><code>32T3K 765
|
||||
T55J5 684
|
||||
KK677 28
|
||||
KTJJT 220
|
||||
QQQJA 483
|
||||
</code></pre>
|
||||
<p>This example shows five hands; each hand is followed by its <em>bid</em> amount. Each hand wins an amount equal to its bid multiplied by its <em>rank</em>, where the weakest hand gets rank 1, the second-weakest hand gets rank 2, and so on up to the strongest hand. Because there are five hands in this example, the strongest hand will have rank 5 and its bid will be multiplied by 5.</p>
|
||||
<p>So, the first step is to put the hands in order of strength:</p>
|
||||
<ul>
|
||||
<li><code>32T3K</code> is the only <em>one pair</em> and the other hands are all a stronger type, so it gets rank <em>1</em>.</li>
|
||||
<li><code>KK677</code> and <code>KTJJT</code> are both <em>two pair</em>. Their first cards both have the same label, but the second card of <code>KK677</code> is stronger (<code>K</code> vs <code>T</code>), so <code>KTJJT</code> gets rank <em>2</em> and <code>KK677</code> gets rank <em>3</em>.</li>
|
||||
<li><code>T55J5</code> and <code>QQQJA</code> are both <em>three of a kind</em>. <code>QQQJA</code> has a stronger first card, so it gets rank <em>5</em> and <code>T55J5</code> gets rank <em>4</em>.</li>
|
||||
</ul>
|
||||
<p>Now, you can determine the total winnings of this set of hands by adding up the result of multiplying each hand's bid with its rank (<code>765</code> * 1 + <code>220</code> * 2 + <code>28</code> * 3 + <code>684</code> * 4 + <code>483</code> * 5). So the <em>total winnings</em> in this example are <code><em>6440</em></code>.</p>
|
||||
<p>Find the rank of every hand in your set. <em>What are the total winnings?</em></p>
|
||||
<article class="day-desc"><h2 id="part2">--- Part Two ---</h2><p>To make things a little more interesting, the Elf introduces one additional rule. Now, <code>J</code> cards are <a href="https://en.wikipedia.org/wiki/Joker_(playing_card)" target="_blank">jokers</a> - wildcards that can act like whatever card would make the hand the strongest type possible.</p>
|
||||
<p>To balance this, <em><code>J</code> cards are now the weakest</em> individual cards, weaker even than <code>2</code>. The other cards stay in the same order: <code>A</code>, <code>K</code>, <code>Q</code>, <code>T</code>, <code>9</code>, <code>8</code>, <code>7</code>, <code>6</code>, <code>5</code>, <code>4</code>, <code>3</code>, <code>2</code>, <code>J</code>.</p>
|
||||
<p><code>J</code> cards can pretend to be whatever card is best for the purpose of determining hand type; for example, <code>QJJQ2</code> is now considered <em>four of a kind</em>. However, for the purpose of breaking ties between two hands of the same type, <code>J</code> is always treated as <code>J</code>, not the card it's pretending to be: <code>JKKK2</code> is weaker than <code>QQQQ2</code> because <code>J</code> is weaker than <code>Q</code>.</p>
|
||||
<p>Now, the above example goes very differently:</p>
|
||||
<pre><code>32T3K 765
|
||||
T55J5 684
|
||||
KK677 28
|
||||
KTJJT 220
|
||||
QQQJA 483
|
||||
</code></pre>
|
||||
<ul>
|
||||
<li><code>32T3K</code> is still the only <em>one pair</em>; it doesn't contain any jokers, so its strength doesn't increase.</li>
|
||||
<li><code>KK677</code> is now the only <em>two pair</em>, making it the second-weakest hand.</li>
|
||||
<li><code>T55J5</code>, <code>KTJJT</code>, and <code>QQQJA</code> are now all <em>four of a kind</em>! <code>T55J5</code> gets rank 3, <code>QQQJA</code> gets rank 4, and <code>KTJJT</code> gets rank 5.</li>
|
||||
</ul>
|
||||
<p>With the new joker rule, the total winnings in this example are <code><em>5905</em></code>.</p>
|
||||
<p>Using the new joker rule, find the rank of every hand in your set. <em>What are the new total winnings?</em></p>
|
||||
@@ -1,748 +0,0 @@
|
||||
LLLRLRLRLLRRRLRRRLRRRLLLRLRLLRRLLRRLRLRLLRLRLRRLLRRRLRLLRRLRRRLRRLLLRRRLRRRLRRRLLLLRRLRRRLRLRRRLRRLLRLRLRRRLRRRLRRLRRRLLLLLLRLRRRLLLLRLRRRLRRRLRLRRLRLRLRLRLRRRLLRRLRLRRLRRLRRLLRLLLRRLRLLRRLRLRRLRRRLRRLLRLRLRLRRLLRLLRRLLLRLRLRRRLRRLLRRRLRLRLRRLLRLRLRLRRLRLRLRRLRRLLRRLRRRLRRRLLLRRRR
|
||||
|
||||
MQF = (DDG, LSH)
|
||||
QJP = (PCT, XKJ)
|
||||
JXF = (PMG, NBN)
|
||||
JCK = (QCD, NRG)
|
||||
LPD = (NTM, NTM)
|
||||
DLN = (TXM, QRG)
|
||||
MTG = (KGC, DMM)
|
||||
KFV = (FXH, QLX)
|
||||
SCJ = (HQH, XSD)
|
||||
JKJ = (PMX, MHH)
|
||||
SJK = (JXM, GRQ)
|
||||
CJZ = (DPF, RMT)
|
||||
QXM = (HGC, SMX)
|
||||
XJS = (NRV, CCL)
|
||||
QLB = (RCH, QVQ)
|
||||
KDB = (QKT, BJB)
|
||||
FCX = (DXG, SGQ)
|
||||
PCT = (DXR, PTS)
|
||||
MGJ = (FKF, HNG)
|
||||
VBN = (RBK, JPL)
|
||||
TRH = (SRT, VJV)
|
||||
PGK = (SNP, QLP)
|
||||
XVK = (KFK, QQC)
|
||||
SXC = (XTB, DPQ)
|
||||
HNG = (VXF, MVH)
|
||||
QHT = (TTD, LBH)
|
||||
LMK = (QQT, QTP)
|
||||
DXR = (KCT, KQS)
|
||||
FSA = (RXT, BLP)
|
||||
GHK = (JMM, VBN)
|
||||
DMM = (VQM, LTG)
|
||||
FBQ = (FSV, GHJ)
|
||||
KCN = (QVR, TDG)
|
||||
KBF = (XNM, HBL)
|
||||
KJP = (FKG, CJZ)
|
||||
JLH = (CKG, XLV)
|
||||
RJX = (KKN, RJH)
|
||||
PFS = (BVC, SXR)
|
||||
DHM = (HXV, FRV)
|
||||
KFK = (PLL, GQC)
|
||||
CNB = (KNS, HVP)
|
||||
DDG = (QTS, VRJ)
|
||||
QVT = (JCK, DJQ)
|
||||
LRB = (TXD, MPR)
|
||||
DMS = (QVD, MFS)
|
||||
PMJ = (LNN, NPJ)
|
||||
BXD = (MLL, QKQ)
|
||||
DGF = (FMX, PKP)
|
||||
RHQ = (RJH, KKN)
|
||||
MRG = (TNN, LLX)
|
||||
BBM = (VFP, VGF)
|
||||
PLP = (BBK, KFX)
|
||||
RSN = (SBN, DQF)
|
||||
XTP = (HMT, XNV)
|
||||
LLX = (KBF, TDV)
|
||||
KHR = (QGL, NCM)
|
||||
PFB = (SXR, BVC)
|
||||
NKP = (JTF, BJH)
|
||||
RPH = (RSN, VBM)
|
||||
HBL = (LVT, JXF)
|
||||
CBC = (LRB, QGN)
|
||||
FXH = (GCH, KBD)
|
||||
QTF = (KVL, DLS)
|
||||
RPQ = (FJB, RMD)
|
||||
SLD = (MSH, NSN)
|
||||
PXF = (QXM, HDF)
|
||||
QBJ = (RDQ, DJH)
|
||||
QPH = (RKJ, CSC)
|
||||
TVF = (JMC, MTV)
|
||||
MJM = (DLM, BQS)
|
||||
XQV = (LCD, QCL)
|
||||
KQH = (SJK, BPR)
|
||||
CSC = (BLD, PDP)
|
||||
BLP = (XVK, LJB)
|
||||
BBK = (DJT, LLJ)
|
||||
PSH = (GQH, RBQ)
|
||||
RMD = (XQV, KFT)
|
||||
TJJ = (QLV, HPG)
|
||||
STS = (BSB, TMP)
|
||||
FPN = (TCK, GLD)
|
||||
JPF = (VCS, CMQ)
|
||||
NVX = (TLD, GMD)
|
||||
XLV = (LKV, QNK)
|
||||
GSF = (CKS, BVB)
|
||||
QHR = (KTV, KPG)
|
||||
JRX = (FPN, DTC)
|
||||
KGC = (VQM, LTG)
|
||||
SSK = (NHP, NHP)
|
||||
GLN = (RMX, NGG)
|
||||
NPJ = (QRV, KTB)
|
||||
PCP = (XSF, BPL)
|
||||
JTF = (LSL, BHB)
|
||||
TDV = (HBL, XNM)
|
||||
FKV = (JVF, HKK)
|
||||
GSG = (QJP, CLF)
|
||||
QNK = (XNQ, CGQ)
|
||||
RQT = (QVQ, RCH)
|
||||
XNT = (RKM, XRV)
|
||||
JMM = (RBK, JPL)
|
||||
LSL = (NGH, KCN)
|
||||
QLQ = (TLV, KDN)
|
||||
KXR = (KRH, KRH)
|
||||
QLV = (GSR, BQV)
|
||||
PMG = (LPH, XFB)
|
||||
VNF = (LVQ, HHG)
|
||||
CSS = (RKK, RQN)
|
||||
HGR = (PVX, LFX)
|
||||
QGN = (MPR, TXD)
|
||||
XNQ = (GTJ, LXQ)
|
||||
QQC = (GQC, PLL)
|
||||
CKR = (KQH, HQD)
|
||||
TLD = (JLJ, VFL)
|
||||
XSD = (TTQ, LDQ)
|
||||
FXF = (BXS, LMQ)
|
||||
ZZZ = (QBJ, MJJ)
|
||||
HPG = (GSR, BQV)
|
||||
LJC = (RNF, FNK)
|
||||
CCL = (DXF, HRM)
|
||||
FQR = (QBF, CLH)
|
||||
GHJ = (MPS, NRB)
|
||||
LLJ = (NVX, BTR)
|
||||
MCQ = (RTG, CTK)
|
||||
PLL = (DJD, FTV)
|
||||
BLD = (XGL, NDH)
|
||||
MLL = (NHV, PPJ)
|
||||
KDN = (LLS, DLN)
|
||||
KKN = (DCC, CCH)
|
||||
FHB = (TCJ, VLF)
|
||||
HCC = (RDN, TRJ)
|
||||
TGV = (TKF, CFG)
|
||||
TKB = (SVJ, KHH)
|
||||
QDN = (RXG, PFF)
|
||||
GQN = (RKT, NKK)
|
||||
FLV = (TLV, KDN)
|
||||
KTV = (LKK, VGH)
|
||||
XHQ = (JLX, SNS)
|
||||
MHN = (DHV, KMD)
|
||||
DLD = (SSQ, LDK)
|
||||
DKD = (CKR, JPC)
|
||||
SRD = (KPP, LFS)
|
||||
LVT = (PMG, NBN)
|
||||
KPP = (FLQ, XTX)
|
||||
BQV = (GLN, NQG)
|
||||
BSB = (KHR, FGL)
|
||||
HGC = (DBX, QTF)
|
||||
DSF = (RBQ, GQH)
|
||||
GRQ = (MVQ, RVP)
|
||||
JGT = (SFN, GQT)
|
||||
HDF = (SMX, HGC)
|
||||
QBF = (VKF, XHQ)
|
||||
QKM = (JTV, LPP)
|
||||
LJB = (QQC, KFK)
|
||||
NTH = (QQV, MHS)
|
||||
QTX = (FMX, PKP)
|
||||
HCQ = (FFT, CBC)
|
||||
XKJ = (DXR, PTS)
|
||||
BHH = (KPP, LFS)
|
||||
GRH = (QLQ, FLV)
|
||||
FNX = (MJX, PFZ)
|
||||
HQN = (CKS, BVB)
|
||||
SJV = (CGF, VKD)
|
||||
RDL = (QJV, MLX)
|
||||
MFR = (DMF, CFD)
|
||||
LPF = (SRD, BHH)
|
||||
HCP = (MPV, NVL)
|
||||
KNS = (VCD, LJL)
|
||||
CDX = (LLX, TNN)
|
||||
SGS = (KMC, RQK)
|
||||
HQS = (NKP, FRN)
|
||||
QVD = (VML, QHT)
|
||||
NRG = (LDS, SCH)
|
||||
BVB = (HCP, NVM)
|
||||
RBK = (QLB, RQT)
|
||||
MPV = (CGR, TSC)
|
||||
VFP = (JXP, QCM)
|
||||
QFS = (DFQ, FHB)
|
||||
FTK = (LSH, DDG)
|
||||
TJH = (KPL, KTR)
|
||||
HQF = (MQF, FTK)
|
||||
FGX = (HVP, KNS)
|
||||
DDK = (NTM, JNC)
|
||||
BJC = (SQK, RGB)
|
||||
HVP = (VCD, LJL)
|
||||
LTG = (RMV, CJC)
|
||||
BNR = (CSS, RBN)
|
||||
GQT = (LCN, DTK)
|
||||
XSF = (BGT, FCN)
|
||||
SSQ = (KTL, JMR)
|
||||
RNH = (BXH, BXH)
|
||||
FTV = (CMM, PBL)
|
||||
QRK = (TSF, QFS)
|
||||
CLR = (NFS, PGK)
|
||||
SRJ = (PFV, SHX)
|
||||
FQT = (QKT, BJB)
|
||||
FRN = (BJH, JTF)
|
||||
RCN = (NRV, CCL)
|
||||
QTM = (CKR, JPC)
|
||||
JHT = (HRC, NVR)
|
||||
KVB = (KRH, KKT)
|
||||
HJG = (GHN, GHN)
|
||||
RNF = (QFF, CKV)
|
||||
PTT = (VNT, FNX)
|
||||
GRB = (SVJ, KHH)
|
||||
TRJ = (PVJ, QKP)
|
||||
MHS = (FCV, JXD)
|
||||
VBM = (SBN, DQF)
|
||||
DLM = (VNH, SCJ)
|
||||
PPJ = (DMH, PHJ)
|
||||
QJN = (LSX, KBN)
|
||||
HXV = (SMH, BJP)
|
||||
GVL = (VMV, DKF)
|
||||
QCG = (FKV, NVD)
|
||||
FNM = (XRV, RKM)
|
||||
JQJ = (NVT, HGR)
|
||||
KVX = (GRG, PMJ)
|
||||
JLV = (SMG, RPH)
|
||||
TXD = (MFN, HQG)
|
||||
TLJ = (FHD, MHN)
|
||||
RPV = (GKH, BPT)
|
||||
CPR = (JLH, PLC)
|
||||
FLQ = (TPR, LGG)
|
||||
BTF = (HGR, NVT)
|
||||
GCH = (QPT, FDV)
|
||||
JCF = (GHM, NKS)
|
||||
CLF = (PCT, XKJ)
|
||||
RMT = (QKM, XCP)
|
||||
KPL = (DJB, VLV)
|
||||
RMV = (NMS, HCC)
|
||||
XRV = (VPH, PHH)
|
||||
HBB = (XKH, FBQ)
|
||||
PXB = (QBF, CLH)
|
||||
HMR = (PCP, LMJ)
|
||||
KCT = (PFS, PFB)
|
||||
DCC = (MBP, BJC)
|
||||
VFV = (VBD, HQS)
|
||||
DJB = (BQX, SLD)
|
||||
MFS = (VML, QHT)
|
||||
RPC = (PHR, JFD)
|
||||
RDS = (LFC, RNK)
|
||||
KMC = (RPR, NRL)
|
||||
CJD = (VJN, GKK)
|
||||
VST = (VCS, CMQ)
|
||||
VMC = (RPC, MCV)
|
||||
VJV = (XTP, DRK)
|
||||
BXH = (RXT, BLP)
|
||||
PNQ = (DSF, PSH)
|
||||
RJJ = (FXH, QLX)
|
||||
NKS = (QDQ, DPP)
|
||||
QDQ = (SJV, MRP)
|
||||
HQQ = (CJD, DVT)
|
||||
LKV = (CGQ, XNQ)
|
||||
KTL = (HFF, FPS)
|
||||
MBP = (RGB, SQK)
|
||||
MQQ = (HCQ, MDL)
|
||||
BQS = (SCJ, VNH)
|
||||
NRT = (FJD, HTS)
|
||||
HHG = (RTC, RPQ)
|
||||
VNH = (XSD, HQH)
|
||||
QTS = (QTG, MHD)
|
||||
DJQ = (NRG, QCD)
|
||||
MDX = (BPT, GKH)
|
||||
QJV = (QQP, VLJ)
|
||||
HBD = (HBB, CKC)
|
||||
GBF = (HJG, FPV)
|
||||
VDC = (JFJ, VNF)
|
||||
MPH = (PFV, SHX)
|
||||
TPR = (BXD, FVX)
|
||||
KFX = (DJT, LLJ)
|
||||
LSX = (VKN, STS)
|
||||
HJL = (KFX, BBK)
|
||||
QLT = (KGC, DMM)
|
||||
QFF = (BJM, QCG)
|
||||
DVM = (GCD, FSC)
|
||||
MHD = (JCF, JPJ)
|
||||
DPQ = (JJX, GNL)
|
||||
NMS = (TRJ, RDN)
|
||||
VLJ = (XJB, HSJ)
|
||||
JSP = (MHN, FHD)
|
||||
BTR = (GMD, TLD)
|
||||
TTD = (SPC, DFJ)
|
||||
QKT = (XPV, BVJ)
|
||||
MKK = (HCQ, MDL)
|
||||
LFC = (LSS, GQN)
|
||||
QGL = (RPG, HGJ)
|
||||
JDT = (FPN, DTC)
|
||||
NCM = (RPG, HGJ)
|
||||
LCN = (QLT, MTG)
|
||||
VGS = (VJV, SRT)
|
||||
CGF = (FXF, STT)
|
||||
KQS = (PFB, PFS)
|
||||
PFF = (DLD, MRJ)
|
||||
LSH = (QTS, VRJ)
|
||||
FGF = (MPH, SRJ)
|
||||
BJG = (TVF, BDN)
|
||||
HQR = (CXG, CPR)
|
||||
JVF = (RGM, NCG)
|
||||
SNP = (BLN, DFD)
|
||||
DQH = (GSC, CFT)
|
||||
JVA = (RMT, DPF)
|
||||
VPH = (CRN, CHT)
|
||||
DFQ = (VLF, TCJ)
|
||||
DFD = (HQR, QDF)
|
||||
NJH = (RXG, PFF)
|
||||
DTK = (QLT, MTG)
|
||||
MJJ = (DJH, RDQ)
|
||||
GGB = (CFT, GSC)
|
||||
SMH = (RHQ, RJX)
|
||||
NFS = (SNP, QLP)
|
||||
LNV = (XLR, KQF)
|
||||
LCD = (FNM, XNT)
|
||||
GQH = (JDT, JRX)
|
||||
JPJ = (GHM, NKS)
|
||||
GMD = (VFL, JLJ)
|
||||
HTS = (KXR, KVB)
|
||||
KFT = (LCD, QCL)
|
||||
SGH = (NVR, HRC)
|
||||
QKP = (MQD, MLM)
|
||||
HFF = (MGM, KSX)
|
||||
HJM = (KBN, LSX)
|
||||
MJX = (VHC, PXF)
|
||||
TSF = (FHB, DFQ)
|
||||
MSH = (GFM, JHC)
|
||||
VBG = (HJM, QJN)
|
||||
CKS = (HCP, NVM)
|
||||
DQF = (LJC, KXM)
|
||||
FVP = (FJD, HTS)
|
||||
DPP = (SJV, MRP)
|
||||
FKM = (CSS, RBN)
|
||||
VCD = (FCH, GBX)
|
||||
DJV = (VMC, HVC)
|
||||
RKM = (VPH, PHH)
|
||||
TMP = (KHR, FGL)
|
||||
BVC = (TLJ, JSP)
|
||||
SRV = (HQS, VBD)
|
||||
FCN = (DHM, VDX)
|
||||
DJH = (FBG, MCQ)
|
||||
NGG = (RPL, DFV)
|
||||
SRT = (XTP, DRK)
|
||||
RMN = (QTD, JGS)
|
||||
MLH = (MQJ, VDR)
|
||||
KVL = (VFV, SRV)
|
||||
VDX = (FRV, HXV)
|
||||
RXT = (LJB, XVK)
|
||||
LSS = (RKT, NKK)
|
||||
LNN = (KTB, QRV)
|
||||
BCC = (CHL, QXP)
|
||||
GHN = (XBS, XBS)
|
||||
FCK = (FKM, BNR)
|
||||
QLP = (BLN, DFD)
|
||||
BDN = (JMC, MTV)
|
||||
MLX = (VLJ, QQP)
|
||||
RDH = (VNT, VNT)
|
||||
DFV = (JKJ, KDX)
|
||||
DXG = (JLV, MVL)
|
||||
TCF = (DSF, PSH)
|
||||
JJX = (MKM, TJJ)
|
||||
VFL = (GGB, DQH)
|
||||
VLV = (SLD, BQX)
|
||||
RBQ = (JDT, JRX)
|
||||
JXP = (QXB, QVT)
|
||||
PFV = (STX, XHF)
|
||||
BLN = (QDF, HQR)
|
||||
FVX = (QKQ, MLL)
|
||||
QTP = (DJV, GMN)
|
||||
JLP = (NJF, MFR)
|
||||
CXG = (PLC, JLH)
|
||||
VKF = (JLX, SNS)
|
||||
QQT = (GMN, DJV)
|
||||
KDX = (MHH, PMX)
|
||||
FJD = (KXR, KXR)
|
||||
XJB = (PHB, JTH)
|
||||
VMV = (RCN, XJS)
|
||||
MKM = (HPG, QLV)
|
||||
SQK = (GBF, JCS)
|
||||
PMT = (SGQ, DXG)
|
||||
LXQ = (GRB, TKB)
|
||||
RKK = (SSK, SSK)
|
||||
QXA = (VHC, PXF)
|
||||
QDP = (QTD, JGS)
|
||||
VQC = (KQF, XLR)
|
||||
QKQ = (PPJ, NHV)
|
||||
TXM = (JLP, JCJ)
|
||||
SPC = (LRR, SXC)
|
||||
BHG = (KFL, BCC)
|
||||
QBK = (VNF, JFJ)
|
||||
BPB = (LBJ, JGT)
|
||||
RNK = (LSS, GQN)
|
||||
BJP = (RHQ, RJX)
|
||||
VNT = (MJX, MJX)
|
||||
QLX = (GCH, KBD)
|
||||
DXF = (RNH, RNH)
|
||||
DLS = (VFV, SRV)
|
||||
SXR = (TLJ, JSP)
|
||||
SGQ = (JLV, MVL)
|
||||
NRL = (XPP, XGM)
|
||||
JFD = (LVD, LTQ)
|
||||
XNM = (JXF, LVT)
|
||||
PHH = (CHT, CRN)
|
||||
QTD = (CTJ, LPF)
|
||||
FCV = (GTC, CKJ)
|
||||
QRG = (JLP, JCJ)
|
||||
DKS = (KPL, KTR)
|
||||
TTQ = (BFV, LVR)
|
||||
RPR = (XGM, XPP)
|
||||
DVS = (FTH, FFG)
|
||||
RRH = (NJH, QDN)
|
||||
KTR = (DJB, VLV)
|
||||
KQM = (BJV, MND)
|
||||
GKS = (BXH, QCZ)
|
||||
FSV = (MPS, NRB)
|
||||
QXB = (DJQ, JCK)
|
||||
FHX = (QFS, TSF)
|
||||
FGL = (QGL, NCM)
|
||||
BHB = (KCN, NGH)
|
||||
KNA = (KTV, KPG)
|
||||
NBN = (LPH, XFB)
|
||||
NVM = (NVL, MPV)
|
||||
LVR = (CNB, FGX)
|
||||
QCL = (FNM, XNT)
|
||||
XRR = (MTB, HMR)
|
||||
LLS = (TXM, QRG)
|
||||
AAA = (MJJ, QBJ)
|
||||
RPL = (JKJ, KDX)
|
||||
QCM = (QVT, QXB)
|
||||
QVF = (BQS, DLM)
|
||||
LMQ = (LMK, BVF)
|
||||
BLS = (CQK, GTG)
|
||||
JMC = (PLP, HJL)
|
||||
KXM = (RNF, FNK)
|
||||
NDH = (FHJ, GML)
|
||||
SNS = (VJK, FMJ)
|
||||
KFL = (QXP, CHL)
|
||||
FSD = (XNH, MJF)
|
||||
DTC = (GLD, TCK)
|
||||
MRP = (CGF, VKD)
|
||||
JHX = (CJD, DVT)
|
||||
KPG = (LKK, VGH)
|
||||
DJT = (NVX, BTR)
|
||||
MQD = (FQT, KDB)
|
||||
CKJ = (BLS, CGP)
|
||||
JXD = (GTC, CKJ)
|
||||
NVL = (CGR, TSC)
|
||||
PKV = (DBR, PGB)
|
||||
JPL = (QLB, RQT)
|
||||
TSC = (FMS, KRS)
|
||||
XGL = (GML, FHJ)
|
||||
DJD = (PBL, CMM)
|
||||
FSC = (BFG, NTH)
|
||||
DMH = (PBN, HND)
|
||||
KRS = (FQR, PXB)
|
||||
LLM = (GMX, VLX)
|
||||
FJB = (XQV, KFT)
|
||||
KRH = (QHR, QHR)
|
||||
RDQ = (MCQ, FBG)
|
||||
GLD = (VST, JPF)
|
||||
RVP = (HBD, RBC)
|
||||
DHV = (RJJ, KFV)
|
||||
FMX = (RFL, GSG)
|
||||
SMX = (DBX, QTF)
|
||||
LPP = (FSD, PHM)
|
||||
TDG = (MKK, MQQ)
|
||||
HPL = (BDN, TVF)
|
||||
MGM = (RDH, RDH)
|
||||
FHJ = (XFJ, GVL)
|
||||
TQB = (VFP, VGF)
|
||||
JLJ = (DQH, GGB)
|
||||
FMS = (FQR, PXB)
|
||||
HQD = (BPR, SJK)
|
||||
VXR = (XQX, VBG)
|
||||
GML = (XFJ, GVL)
|
||||
GCS = (RKJ, CSC)
|
||||
CTJ = (SRD, BHH)
|
||||
CLH = (XHQ, VKF)
|
||||
HND = (RDL, PXS)
|
||||
QPT = (RRH, CKQ)
|
||||
NVD = (HKK, JVF)
|
||||
XGM = (VFK, MLH)
|
||||
GMN = (HVC, VMC)
|
||||
QDF = (CXG, CPR)
|
||||
TCK = (JPF, VST)
|
||||
BJH = (LSL, BHB)
|
||||
JNC = (BPB, SLZ)
|
||||
GSC = (QVF, MJM)
|
||||
XHG = (SRJ, MPH)
|
||||
CGQ = (GTJ, LXQ)
|
||||
CHL = (TGV, HPX)
|
||||
MRJ = (LDK, SSQ)
|
||||
GKH = (VQC, LNV)
|
||||
MLM = (FQT, KDB)
|
||||
BPT = (LNV, VQC)
|
||||
BXT = (TKD, ZZZ)
|
||||
PMP = (NHP, KJP)
|
||||
PLC = (XLV, CKG)
|
||||
FXA = (LBJ, JGT)
|
||||
PKP = (RFL, GSG)
|
||||
BQX = (MSH, NSN)
|
||||
LBJ = (SFN, GQT)
|
||||
KMD = (KFV, RJJ)
|
||||
PVJ = (MQD, MLM)
|
||||
LDQ = (LVR, BFV)
|
||||
SLS = (PGB, DBR)
|
||||
VTP = (HQQ, JHX)
|
||||
MPS = (QTX, DGF)
|
||||
VRJ = (QTG, MHD)
|
||||
HBH = (HNG, FKF)
|
||||
RTC = (RMD, FJB)
|
||||
PHB = (LPD, LPD)
|
||||
CMM = (DMS, KFB)
|
||||
QVR = (MKK, MQQ)
|
||||
XFJ = (DKF, VMV)
|
||||
TLV = (DLN, LLS)
|
||||
QRV = (SCL, BSJ)
|
||||
MFN = (GHK, RRL)
|
||||
NVT = (LFX, PVX)
|
||||
FVL = (HMR, MTB)
|
||||
VCS = (TQB, BBM)
|
||||
XHF = (QBK, VDC)
|
||||
JTV = (FSD, PHM)
|
||||
VML = (TTD, LBH)
|
||||
SCL = (DKS, TJH)
|
||||
VHC = (QXM, HDF)
|
||||
LPV = (GMX, VLX)
|
||||
CFG = (BTF, JQJ)
|
||||
MCV = (PHR, JFD)
|
||||
LDS = (FGF, XHG)
|
||||
VGF = (QCM, JXP)
|
||||
BVF = (QQT, QTP)
|
||||
VKN = (TMP, BSB)
|
||||
VJK = (KQM, DHQ)
|
||||
CTK = (GSF, HQN)
|
||||
PHM = (MJF, XNH)
|
||||
PVX = (MHK, SXL)
|
||||
JPC = (KQH, HQD)
|
||||
JGS = (CTJ, LPF)
|
||||
XNV = (CLR, BLB)
|
||||
PTS = (KCT, KQS)
|
||||
BXS = (BVF, LMK)
|
||||
BJB = (XPV, BVJ)
|
||||
MHK = (VTP, KKX)
|
||||
CJC = (NMS, HCC)
|
||||
RKT = (PMT, FCX)
|
||||
BFG = (QQV, MHS)
|
||||
LPH = (HDD, DVM)
|
||||
GSR = (GLN, NQG)
|
||||
MHH = (VGS, TRH)
|
||||
HMT = (BLB, CLR)
|
||||
JCJ = (NJF, MFR)
|
||||
MDK = (RPV, MDX)
|
||||
LRR = (DPQ, XTB)
|
||||
RKJ = (PDP, BLD)
|
||||
MJF = (RXX, SGS)
|
||||
NCG = (NRT, FVP)
|
||||
QQV = (JXD, FCV)
|
||||
MJQ = (BCC, KFL)
|
||||
TKD = (MJJ, QBJ)
|
||||
MND = (MDK, KBG)
|
||||
RXG = (MRJ, DLD)
|
||||
BGT = (DHM, VDX)
|
||||
XCP = (LPP, JTV)
|
||||
TRS = (QPH, GCS)
|
||||
FPS = (MGM, KSX)
|
||||
MVL = (SMG, RPH)
|
||||
BJM = (NVD, FKV)
|
||||
BSJ = (TJH, DKS)
|
||||
MTV = (PLP, HJL)
|
||||
GQC = (FTV, DJD)
|
||||
CQL = (FTK, MQF)
|
||||
VQM = (RMV, CJC)
|
||||
SLZ = (JGT, LBJ)
|
||||
HVC = (MCV, RPC)
|
||||
LFX = (MHK, SXL)
|
||||
BJQ = (LFC, RNK)
|
||||
BFV = (FGX, CNB)
|
||||
DRK = (HMT, XNV)
|
||||
VBD = (NKP, FRN)
|
||||
KBN = (STS, VKN)
|
||||
XQX = (HJM, QJN)
|
||||
MPR = (HQG, MFN)
|
||||
KFB = (MFS, QVD)
|
||||
GHM = (QDQ, DPP)
|
||||
KBD = (QPT, FDV)
|
||||
MVH = (FVL, XRR)
|
||||
PGB = (RVG, TRS)
|
||||
RGM = (NRT, FVP)
|
||||
KKT = (QHR, GNZ)
|
||||
TCJ = (RDS, BJQ)
|
||||
MVQ = (HBD, RBC)
|
||||
CKC = (XKH, FBQ)
|
||||
SHX = (XHF, STX)
|
||||
NVR = (RFF, GRH)
|
||||
DKF = (RCN, XJS)
|
||||
KTB = (BSJ, SCL)
|
||||
HSJ = (PHB, JTH)
|
||||
RJH = (DCC, CCH)
|
||||
FNK = (QFF, CKV)
|
||||
XNH = (SGS, RXX)
|
||||
NRV = (DXF, DXF)
|
||||
HRM = (RNH, GKS)
|
||||
LJL = (GBX, FCH)
|
||||
RDN = (PVJ, QKP)
|
||||
JXM = (MVQ, RVP)
|
||||
XLR = (HBH, MGJ)
|
||||
QXP = (HPX, TGV)
|
||||
HQH = (TTQ, LDQ)
|
||||
HGJ = (FCK, HGS)
|
||||
JTH = (LPD, DDK)
|
||||
NKK = (FCX, PMT)
|
||||
DHQ = (MND, BJV)
|
||||
RFF = (FLV, QLQ)
|
||||
RGB = (GBF, JCS)
|
||||
RMX = (DFV, RPL)
|
||||
VXF = (XRR, FVL)
|
||||
SMG = (RSN, VBM)
|
||||
KBG = (RPV, MDX)
|
||||
QCZ = (BLP, RXT)
|
||||
CQK = (BJG, HPL)
|
||||
FDV = (RRH, CKQ)
|
||||
CKQ = (QDN, NJH)
|
||||
RRL = (JMM, VBN)
|
||||
RVG = (QPH, GCS)
|
||||
FTT = (GRG, PMJ)
|
||||
FHD = (KMD, DHV)
|
||||
GFM = (MRG, CDX)
|
||||
FFG = (QRK, FHX)
|
||||
RTG = (GSF, HQN)
|
||||
PXS = (MLX, QJV)
|
||||
MQJ = (JHT, SGH)
|
||||
KSX = (RDH, PTT)
|
||||
VXP = (VBG, XQX)
|
||||
PMX = (TRH, VGS)
|
||||
BPR = (GRQ, JXM)
|
||||
VKD = (STT, FXF)
|
||||
SXL = (KKX, VTP)
|
||||
HDD = (GCD, FSC)
|
||||
GTJ = (GRB, TKB)
|
||||
CHT = (VXP, VXR)
|
||||
RBC = (CKC, HBB)
|
||||
XBS = (TKD, TKD)
|
||||
KHH = (CQL, HQF)
|
||||
XTX = (TPR, LGG)
|
||||
LKK = (LLM, LPV)
|
||||
VFK = (VDR, MQJ)
|
||||
JLX = (VJK, FMJ)
|
||||
FRV = (SMH, BJP)
|
||||
GTC = (CGP, BLS)
|
||||
PHR = (LTQ, LVD)
|
||||
GCD = (BFG, NTH)
|
||||
SBN = (KXM, LJC)
|
||||
STX = (QBK, VDC)
|
||||
FBG = (RTG, CTK)
|
||||
CKV = (BJM, QCG)
|
||||
DPF = (XCP, QKM)
|
||||
FKF = (MVH, VXF)
|
||||
BLB = (PGK, NFS)
|
||||
XPV = (MJQ, BHG)
|
||||
GMX = (FTT, KVX)
|
||||
LBH = (DFJ, SPC)
|
||||
JHC = (CDX, MRG)
|
||||
GNL = (TJJ, MKM)
|
||||
DSM = (FTH, FFG)
|
||||
FFT = (QGN, LRB)
|
||||
GRG = (NPJ, LNN)
|
||||
JFJ = (HHG, LVQ)
|
||||
CGR = (FMS, KRS)
|
||||
LFS = (XTX, FLQ)
|
||||
DMF = (TCF, PNQ)
|
||||
LVQ = (RTC, RPQ)
|
||||
DFJ = (SXC, LRR)
|
||||
VLF = (RDS, BJQ)
|
||||
LMJ = (BPL, XSF)
|
||||
BVJ = (BHG, MJQ)
|
||||
NRB = (QTX, DGF)
|
||||
GKK = (RMN, QDP)
|
||||
CFD = (PNQ, TCF)
|
||||
GBX = (DSM, DVS)
|
||||
NTM = (BPB, BPB)
|
||||
XKH = (GHJ, FSV)
|
||||
LGG = (BXD, FVX)
|
||||
DBR = (RVG, TRS)
|
||||
GTG = (BJG, HPL)
|
||||
HKK = (NCG, RGM)
|
||||
CKG = (LKV, QNK)
|
||||
FKG = (RMT, DPF)
|
||||
QVQ = (DKD, QTM)
|
||||
LDK = (KTL, JMR)
|
||||
PHJ = (PBN, HND)
|
||||
PFZ = (PXF, VHC)
|
||||
VLX = (KVX, FTT)
|
||||
KQF = (HBH, MGJ)
|
||||
RQN = (SSK, PMP)
|
||||
CMQ = (TQB, BBM)
|
||||
NHP = (FKG, FKG)
|
||||
DVT = (GKK, VJN)
|
||||
RPG = (FCK, HGS)
|
||||
RBN = (RKK, RQN)
|
||||
PBN = (RDL, PXS)
|
||||
RCH = (QTM, DKD)
|
||||
CRN = (VXP, VXR)
|
||||
TNN = (KBF, TDV)
|
||||
RFL = (QJP, CLF)
|
||||
NJF = (DMF, CFD)
|
||||
NQG = (RMX, NGG)
|
||||
VDR = (JHT, SGH)
|
||||
FPV = (GHN, BRB)
|
||||
PBL = (DMS, KFB)
|
||||
XTB = (JJX, GNL)
|
||||
HGS = (FKM, BNR)
|
||||
CCH = (BJC, MBP)
|
||||
STT = (LMQ, BXS)
|
||||
LTQ = (SLS, PKV)
|
||||
SFN = (LCN, DTK)
|
||||
NGH = (QVR, TDG)
|
||||
RQK = (RPR, NRL)
|
||||
PDP = (NDH, XGL)
|
||||
FCH = (DSM, DVS)
|
||||
QCD = (SCH, LDS)
|
||||
TKF = (BTF, JQJ)
|
||||
BPL = (BGT, FCN)
|
||||
SVJ = (CQL, HQF)
|
||||
QTG = (JPJ, JCF)
|
||||
NSN = (GFM, JHC)
|
||||
JCS = (HJG, FPV)
|
||||
HRC = (GRH, RFF)
|
||||
VGH = (LLM, LPV)
|
||||
BRB = (XBS, BXT)
|
||||
JMR = (HFF, FPS)
|
||||
VJN = (RMN, QDP)
|
||||
HPX = (TKF, CFG)
|
||||
CFT = (QVF, MJM)
|
||||
DBX = (KVL, DLS)
|
||||
NHV = (PHJ, DMH)
|
||||
FTH = (QRK, FHX)
|
||||
XFB = (DVM, HDD)
|
||||
XPP = (MLH, VFK)
|
||||
CGP = (CQK, GTG)
|
||||
MDL = (FFT, CBC)
|
||||
GNZ = (KPG, KTV)
|
||||
BJV = (KBG, MDK)
|
||||
SCH = (FGF, XHG)
|
||||
RXX = (KMC, RQK)
|
||||
HQG = (GHK, RRL)
|
||||
KKX = (JHX, HQQ)
|
||||
LVD = (SLS, PKV)
|
||||
QQP = (XJB, HSJ)
|
||||
MTB = (LMJ, PCP)
|
||||
FMJ = (KQM, DHQ)
|
||||
@@ -1,53 +0,0 @@
|
||||
|
||||
<article class="day-desc"><h2>--- Day 8: Haunted Wasteland ---</h2><p>You're still riding a camel across Desert Island when you spot a sandstorm quickly approaching. When you turn to warn the Elf, she disappears before your eyes! To be fair, she had just finished warning you about <em>ghosts</em> a few minutes ago.</p>
|
||||
<p>One of the camel's pouches is labeled "maps" - sure enough, it's full of documents (your puzzle input) about how to navigate the desert. At least, you're pretty sure that's what they are; one of the documents contains a list of left/right instructions, and the rest of the documents seem to describe some kind of <em>network</em> of labeled nodes.</p>
|
||||
<p>It seems like you're meant to use the <em>left/right</em> instructions to <em>navigate the network</em>. Perhaps if you have the camel follow the same instructions, you can escape the haunted wasteland!</p>
|
||||
<p>After examining the maps for a bit, two nodes stick out: <code>AAA</code> and <code>ZZZ</code>. You feel like <code>AAA</code> is where you are now, and you have to follow the left/right instructions until you reach <code>ZZZ</code>.</p>
|
||||
<p>This format defines each <em>node</em> of the network individually. For example:</p>
|
||||
<pre><code>RL
|
||||
|
||||
AAA = (BBB, CCC)
|
||||
BBB = (DDD, EEE)
|
||||
CCC = (ZZZ, GGG)
|
||||
DDD = (DDD, DDD)
|
||||
EEE = (EEE, EEE)
|
||||
GGG = (GGG, GGG)
|
||||
ZZZ = (ZZZ, ZZZ)
|
||||
</code></pre>
|
||||
<p>Starting with <code>AAA</code>, you need to <em>look up the next element</em> based on the next left/right instruction in your input. In this example, start with <code>AAA</code> and go <em>right</em> (<code>R</code>) by choosing the right element of <code>AAA</code>, <code><em>CCC</em></code>. Then, <code>L</code> means to choose the <em>left</em> element of <code>CCC</code>, <code><em>ZZZ</em></code>. By following the left/right instructions, you reach <code>ZZZ</code> in <code><em>2</em></code> steps.</p>
|
||||
<p>Of course, you might not find <code>ZZZ</code> right away. If you run out of left/right instructions, repeat the whole sequence of instructions as necessary: <code>RL</code> really means <code>RLRLRLRLRLRLRLRL...</code> and so on. For example, here is a situation that takes <code><em>6</em></code> steps to reach <code>ZZZ</code>:</p>
|
||||
<pre><code>LLR
|
||||
|
||||
AAA = (BBB, BBB)
|
||||
BBB = (AAA, ZZZ)
|
||||
ZZZ = (ZZZ, ZZZ)
|
||||
</code></pre>
|
||||
<p>Starting at <code>AAA</code>, follow the left/right instructions. <em>How many steps are required to reach <code>ZZZ</code>?</em></p>
|
||||
|
||||
<p>Your puzzle answer was <code>12083</code>.</p><article class="day-desc"><h2 id="part2">--- Part Two ---</h2><p>The <span title="Duhduhduhduhduh! Dah, duhduhduhduhduh!">sandstorm</span> is upon you and you aren't any closer to escaping the wasteland. You had the camel follow the instructions, but you've barely left your starting position. It's going to take <em>significantly more steps</em> to escape!</p>
|
||||
<p>What if the map isn't for people - what if the map is for <em>ghosts</em>? Are ghosts even bound by the laws of spacetime? Only one way to find out.</p>
|
||||
<p>After examining the maps a bit longer, your attention is drawn to a curious fact: the number of nodes with names ending in <code>A</code> is equal to the number ending in <code>Z</code>! If you were a ghost, you'd probably just <em>start at every node that ends with <code>A</code></em> and follow all of the paths at the same time until they all simultaneously end up at nodes that end with <code>Z</code>.</p>
|
||||
<p>For example:</p>
|
||||
<pre><code>LR
|
||||
|
||||
11A = (11B, XXX)
|
||||
11B = (XXX, 11Z)
|
||||
11Z = (11B, XXX)
|
||||
22A = (22B, XXX)
|
||||
22B = (22C, 22C)
|
||||
22C = (22Z, 22Z)
|
||||
22Z = (22B, 22B)
|
||||
XXX = (XXX, XXX)
|
||||
</code></pre>
|
||||
<p>Here, there are two starting nodes, <code>11A</code> and <code>22A</code> (because they both end with <code>A</code>). As you follow each left/right instruction, use that instruction to <em>simultaneously</em> navigate away from both nodes you're currently on. Repeat this process until <em>all</em> of the nodes you're currently on end with <code>Z</code>. (If only some of the nodes you're on end with <code>Z</code>, they act like any other node and you continue as normal.) In this example, you would proceed as follows:</p>
|
||||
<ul>
|
||||
<li>Step 0: You are at <code>11A</code> and <code>22A</code>.</li>
|
||||
<li>Step 1: You choose all of the <em>left</em> paths, leading you to <code>11B</code> and <code>22B</code>.</li>
|
||||
<li>Step 2: You choose all of the <em>right</em> paths, leading you to <code><em>11Z</em></code> and <code>22C</code>.</li>
|
||||
<li>Step 3: You choose all of the <em>left</em> paths, leading you to <code>11B</code> and <code><em>22Z</em></code>.</li>
|
||||
<li>Step 4: You choose all of the <em>right</em> paths, leading you to <code><em>11Z</em></code> and <code>22B</code>.</li>
|
||||
<li>Step 5: You choose all of the <em>left</em> paths, leading you to <code>11B</code> and <code>22C</code>.</li>
|
||||
<li>Step 6: You choose all of the <em>right</em> paths, leading you to <code><em>11Z</em></code> and <code><em>22Z</em></code>.</li>
|
||||
</ul>
|
||||
<p>So, in this example, you end up entirely on nodes that end in <code>Z</code> after <code><em>6</em></code> steps.</p>
|
||||
<p>Simultaneously start on every node that ends with <code>A</code>. <em>How many steps does it take before you're only on nodes that end with <code>Z</code>?</em></p>
|
||||
@@ -1,200 +0,0 @@
|
||||
14 23 30 32 26 9 -22 -70 -138 -229 -346 -492 -670 -883 -1134 -1426 -1762 -2145 -2578 -3064 -3606
|
||||
4 27 78 180 375 742 1428 2693 4965 8900 15460 26084 43181 71517 121785 219063 421510 859337 1812006 3854420 8122831
|
||||
12 33 58 90 140 227 378 628 1020 1605 2442 3598 5148 7175 9770 13032 17068 21993 27930 35010 43372
|
||||
8 20 43 88 185 401 878 1913 4113 8678 17903 36055 70882 136157 255860 470864 849326 1502400 2607395 4441106 7426759
|
||||
5 14 28 46 72 124 261 652 1736 4562 11453 27208 61141 130356 264772 514542 960655 1729670 3013706 5097002 8390566
|
||||
-2 4 30 95 234 523 1117 2301 4554 8626 15628 27135 45302 72993 113923 172813 255558 369408 523162 727375 994578
|
||||
-2 2 9 20 43 97 234 609 1649 4398 11158 26641 60071 129171 267968 542171 1078918 2122391 4133699 7963449 15140741
|
||||
23 47 87 162 303 551 955 1570 2455 3671 5279 7338 9903 13023 16739 21082 26071 31711 37991 44882 52335
|
||||
5 28 76 161 295 490 758 1111 1561 2120 2800 3613 4571 5686 6970 8435 10093 11956 14036 16345 18895
|
||||
10 2 5 45 167 455 1079 2385 5045 10285 20210 38246 69720 122600 208418 343400 549828 857660 1306435 1947491 2846525
|
||||
11 20 28 37 51 84 172 395 937 2254 5486 13351 31941 74219 166844 363702 773007 1611356 3309648 6715181 13465567
|
||||
12 20 28 33 35 39 55 90 118 10 -574 -2245 -5593 -9774 -8323 21013 138200 484444 1363352 3384881 7710315
|
||||
16 23 42 91 196 390 719 1260 2156 3673 6284 10785 18448 31216 51945 84698 135096 210731 321646 480887 705132
|
||||
1 8 34 87 175 317 566 1040 1964 3753 7225 14140 28440 58856 124019 261975 547235 1120454 2238908 4360653 8282317
|
||||
19 22 25 42 93 205 422 833 1642 3337 7070 15450 34120 74849 161658 343159 717581 1483116 3037123 6166146 12398567
|
||||
13 23 44 85 152 247 369 530 806 1449 3105 7241 17019 39117 87448 190442 404619 838691 1694498 3333829 6383738
|
||||
24 38 54 75 115 218 502 1239 2989 6836 14838 30916 62601 124398 244140 474856 916926 1759830 3362026 6406045 12202199
|
||||
2 23 61 125 231 402 668 1066 1640 2441 3527 4963 6821 9180 12126 15752 20158 25451 31745 39161 47827
|
||||
0 3 12 33 74 142 239 369 577 1044 2263 5347 12634 29067 65509 146443 326722 725577 1591458 3419069 7150862
|
||||
15 19 22 23 17 -10 -87 -255 -527 -741 -160 3442 15617 48571 126688 295063 632075 1267950 2414604 4422018 7902157
|
||||
26 43 70 112 170 246 366 641 1401 3459 8591 20354 45407 95550 190753 363511 664932 1173043 2003884 3326052 5379456
|
||||
-1 -1 6 41 131 303 573 925 1287 1542 1677 2311 6127 21290 68986 199159 522031 1269185 2908648 6356221 13354187
|
||||
14 30 63 135 284 581 1162 2287 4449 8573 16371 30959 57905 106971 194932 349967 618142 1072306 1823093 3030381 4911112
|
||||
17 35 77 154 276 452 690 997 1379 1841 2387 3020 3742 4554 5456 6447 7525 8687 9929 11246 12632
|
||||
-1 8 38 109 255 539 1073 2051 3824 7091 13363 25989 52219 107015 219591 443936 874801 1670742 3085712 5510265 9522523
|
||||
-5 -2 14 59 158 340 629 1031 1517 2002 2320 2195 1208 -1240 -5969 -14065 -26929 -46330 -74462 -114005 -168190
|
||||
15 41 75 124 212 383 709 1319 2486 4847 9898 21022 45501 98269 208626 431805 868225 1694541 3212293 5922144 10634474
|
||||
17 33 53 85 162 363 839 1841 3747 7085 12549 21005 33484 51159 75303 107225 148181 199257 261221 334341 418166
|
||||
14 33 64 115 213 421 875 1854 3896 7973 15738 29857 54439 95577 162013 265940 423954 658169 997508 1479183 2150377
|
||||
2 11 22 42 97 243 581 1276 2580 4859 8624 14566 23595 36883 55911 82520 118966 167979 232826 317378 426181
|
||||
18 20 14 0 -8 36 245 876 2485 6200 14156 30158 60708 116693 216340 390573 692744 1215960 2123014 3696392 6419132
|
||||
18 27 38 57 95 159 247 351 466 598 766 1008 1447 2608 6550 20326 65533 202760 590573 1621022 4218046
|
||||
-8 -15 -16 14 124 401 998 2192 4501 8922 17424 33969 66582 131425 260614 517001 1022018 2008219 3918536 7593000 14616172
|
||||
13 24 43 85 171 328 589 993 1585 2416 3543 5029 6943 9360 12361 16033 20469 25768 32035 39381 47923
|
||||
8 31 68 136 280 598 1276 2633 5176 9665 17188 29246 47848 75616 115900 172903 251816 358963 501956 689860 933368
|
||||
26 52 96 157 231 309 369 374 302 249 662 2774 9323 25636 61139 131305 259962 481738 844204 1408971 2250583
|
||||
8 7 3 8 56 222 645 1549 3255 6191 10957 18622 31677 56536 109315 228053 496898 1091527 2360831 4968508 10130750
|
||||
19 30 49 76 124 247 586 1446 3425 7619 15925 31465 59187 106849 187069 322378 558107 993992 1857093 3659894 7524106
|
||||
-6 2 32 93 201 400 794 1603 3280 6766 14017 29010 59538 120307 238352 463045 885850 1681022 3190154 6094719 11757259
|
||||
-2 -1 10 44 119 272 589 1264 2718 5840 12469 26341 54909 112747 227720 451799 879390 1677405 3133116 5728194 10250347
|
||||
12 26 50 93 178 356 722 1433 2728 4950 8570 14213 22686 35008 52442 76529 109124 152434 209058 282029 374858
|
||||
3 18 50 107 212 426 898 1955 4249 8987 18284 35698 67030 121501 213452 364752 608143 991800 1585438 2488357 3839880
|
||||
3 20 55 129 282 581 1129 2082 3701 6496 11559 21233 40324 78133 151665 290462 543607 989556 1749575 3005689 5024190
|
||||
18 32 43 48 50 58 87 178 470 1369 3886 10280 25277 58388 128277 270807 553406 1099850 2131577 4034364 7462776
|
||||
2 11 20 30 45 72 121 205 340 545 842 1256 1815 2550 3495 4687 6166 7975 10160 12770 15857
|
||||
13 24 34 39 26 -23 -103 -124 195 1496 5059 13266 30382 63843 126306 238779 435201 768872 1321128 2212601 3617282
|
||||
20 41 70 103 136 163 186 251 523 1423 3879 9789 22850 49980 103715 206420 398504 756520 1436393 2779359 5568808
|
||||
17 39 68 96 108 75 -54 -357 -925 -1782 -2634 -2249 2866 21012 69836 183940 427029 910537 1821232 3460962 6302472
|
||||
12 25 47 91 184 376 749 1426 2580 4443 7315 11573 17680 26194 37777 53204 73372 99309 132183 173311 224168
|
||||
9 23 48 89 150 244 427 871 2007 4801 11282 25548 55694 117542 241875 488328 971501 1908667 3704204 7094267 13387062
|
||||
6 23 54 121 274 611 1304 2643 5138 9761 18474 35292 68298 133295 260192 503830 961822 1803179 3313102 5961427 10504914
|
||||
13 31 60 106 181 312 561 1056 2033 3889 7246 13026 22537 37570 60507 94440 143301 212003 306592 434410 604269
|
||||
24 41 70 117 200 377 795 1780 3998 8735 18379 37244 72966 138862 257972 470200 845388 1507873 2682964 4784091 8572860
|
||||
21 40 70 108 162 261 462 853 1551 2694 4426 6874 10116 14139 18786 23691 28201 31284 31422 26488 13606
|
||||
7 12 33 89 216 481 1015 2089 4264 8662 17457 34828 68952 136319 271009 544033 1102084 2242030 4548437 9137620 18073857
|
||||
-4 -7 0 34 126 325 709 1424 2785 5486 10979 22095 43993 85536 161206 293683 517226 882007 1459562 2349536 3687912
|
||||
0 12 35 68 104 129 121 60 -16 169 1592 6986 23067 64991 164926 388049 861778 1828597 3741459 7437683 14461140
|
||||
23 32 41 50 59 68 77 86 95 104 113 122 131 140 149 158 167 176 185 194 203
|
||||
10 16 27 42 65 110 220 523 1363 3562 8896 20916 46346 97537 197087 387281 750512 1454224 2848417 5670598 11460303
|
||||
16 30 53 77 87 69 33 50 297 1099 2952 6506 12482 21492 33726 48465 63374 73524 70087 38643 -42967
|
||||
19 41 72 108 148 204 324 637 1442 3387 7818 17438 37550 78461 160253 322316 642113 1271041 2500520 4879276 9414028
|
||||
15 30 57 109 225 481 1000 1972 3707 6756 12147 21795 39157 70215 124882 218938 376615 633962 1043133 1677753 2639529
|
||||
14 20 43 98 211 425 806 1449 2484 4082 6461 9892 14705 21295 30128 41747 56778 75936 100031 129974 166783
|
||||
15 17 20 26 44 113 338 940 2327 5207 10791 21189 40222 75136 140257 264724 508495 994481 1970878 3927904 7809112
|
||||
25 53 104 191 333 554 891 1420 2314 3961 7205 13863 27886 58003 123648 267820 583911 1269449 2729590 5769071 11935891
|
||||
12 16 17 11 -7 -39 -70 -39 226 1156 3753 10204 25064 57585 126483 270012 567572 1186000 2477477 5182433 10839687
|
||||
7 20 43 94 203 421 845 1667 3256 6283 11900 21985 39466 68738 116188 190844 305165 475990 725665 1083368 1586653
|
||||
5 23 61 128 242 441 794 1412 2459 4163 6827 10840 16688 24965 36384 51788 72161 98639 132521 175280 228574
|
||||
8 25 41 50 45 18 -40 -139 -290 -505 -797 -1180 -1669 -2280 -3030 -3937 -5020 -6299 -7795 -9530 -11527
|
||||
8 7 14 44 119 268 527 939 1554 2429 3628 5222 7289 9914 13189 17213 22092 27939 34874 43024 52523
|
||||
14 16 24 39 61 96 168 336 716 1508 3028 5745 10323 17668 28980 45810 70122 104360 151520 215227 299817
|
||||
2 -1 10 47 123 250 446 771 1432 3035 7139 17415 41978 97915 219803 475319 993266 2013091 3971216 7649687 14428865
|
||||
5 27 63 122 225 420 821 1697 3657 7999 17307 36390 73685 143357 268644 487701 864549 1510047 2621427 4554210 7947537
|
||||
5 2 5 21 63 162 377 809 1636 3195 6146 11768 22468 42645 80160 148842 272735 493192 880483 1552343 2702885
|
||||
8 14 45 120 263 503 874 1415 2170 3188 4523 6234 8385 11045 14288 18193 22844 28330 34745 42188 50763
|
||||
21 38 62 111 217 426 798 1407 2341 3702 5606 8183 11577 15946 21462 28311 36693 46822 58926 73247 90041
|
||||
12 24 49 92 155 230 298 344 409 730 2078 6502 18834 49516 119585 269006 569986 1147444 2209463 4091320 7317589
|
||||
13 30 60 111 195 320 484 678 915 1327 2429 5773 15481 41716 108355 269591 645004 1491641 3347905 7312828 15574862
|
||||
11 5 -6 -16 0 93 354 956 2256 5009 10793 22845 47697 98317 199945 400511 788473 1522157 2876252 5313038 9588222
|
||||
6 11 29 69 142 273 532 1108 2475 5733 13254 29842 64780 135496 274323 541239 1047936 2002555 3790467 7115107 13234518
|
||||
17 23 26 41 91 213 482 1068 2362 5238 11568 25197 53748 111908 227302 450762 873823 1657721 3080134 5608513 10012225
|
||||
5 3 -1 -5 1 42 161 413 857 1577 2799 5219 10717 23704 53433 117701 248477 500111 960911 1769019 3133673
|
||||
7 24 49 80 124 217 454 1039 2370 5176 10722 21094 39569 71065 122653 204097 328369 512064 775615 1143180 1642042
|
||||
5 15 31 53 81 115 155 201 253 311 375 445 521 603 691 785 885 991 1103 1221 1345
|
||||
6 11 14 23 53 127 281 573 1096 1995 3488 5891 9647 15359 23827 36089 53466 77611 110562 154799 213305
|
||||
17 20 24 29 35 42 50 59 69 80 92 105 119 134 150 167 185 204 224 245 267
|
||||
12 18 16 9 10 49 194 599 1596 3852 8616 18085 35922 67963 123154 214763 361916 591510 940560 1459041 2213290
|
||||
15 30 42 43 16 -56 -162 -198 181 1887 7082 20536 52192 121777 266728 555347 1108231 2133328 3984966 7267933 13029812
|
||||
6 9 23 75 208 493 1048 2076 3945 7340 13518 24690 44537 78838 136145 228381 371160 583531 886729 1301373 1842382
|
||||
20 40 68 114 202 372 677 1171 1885 2803 3900 5419 8789 19006 50105 136993 360435 899732 2144689 4935498 11077705
|
||||
2 14 42 93 173 301 549 1137 2624 6248 14498 32080 67609 136671 267411 510578 957062 1767458 3220154 5786927 10248101
|
||||
14 38 75 127 206 347 641 1307 2830 6215 13455 28407 58464 117793 233621 458298 891926 1723576 3303971 6269539 11747586
|
||||
1 11 31 61 101 151 211 281 361 451 551 661 781 911 1051 1201 1361 1531 1711 1901 2101
|
||||
4 -1 1 30 112 271 515 813 1060 1027 293 -1844 -6480 -15245 -30473 -55405 -94428 -153353 -239735 -363238 -536048
|
||||
10 21 41 80 161 333 692 1410 2772 5221 9411 16268 27059 43469 67686 102494 151374 218613 309421 430056 587957
|
||||
15 45 97 181 323 583 1082 2048 3909 7503 14565 28831 58433 120835 252490 526816 1086147 2196177 4335249 8335809 15601591
|
||||
7 9 27 71 162 360 816 1859 4136 8833 18028 35285 66725 123052 223427 402741 724821 1305505 2351449 4223099 7533604
|
||||
21 38 62 95 139 196 268 357 465 594 746 923 1127 1360 1624 1921 2253 2622 3030 3479 3971
|
||||
9 11 16 24 35 49 66 86 109 135 164 196 231 269 310 354 401 451 504 560 619
|
||||
6 14 25 46 103 251 585 1269 2613 5250 10508 21149 42764 86256 171960 335927 638536 1174570 2081715 3540428 5751333
|
||||
13 31 69 134 236 396 653 1065 1709 2708 4358 7519 14614 31922 74498 176324 410910 933058 2063916 4464405 9486389
|
||||
15 36 78 145 252 438 783 1433 2637 4800 8556 14865 25138 41394 66453 104169 159707 239868 353466 511761 728952
|
||||
26 44 62 88 144 278 582 1208 2367 4285 7075 10465 13299 12701 2761 -27433 -96632 -235390 -491460 -936978 -1677846
|
||||
20 34 51 77 131 257 540 1126 2246 4244 7609 13011 21341 33755 51722 77076 112072 159446 222479 305065 411783
|
||||
17 34 68 125 206 297 350 261 -135 -1015 -2408 -3846 -3735 1623 19311 61035 143389 285328 500072 778447 1063084
|
||||
5 2 -1 -4 -7 -10 -13 -16 -19 -22 -25 -28 -31 -34 -37 -40 -43 -46 -49 -52 -55
|
||||
19 26 31 42 76 163 358 769 1614 3340 6898 14408 30716 66798 146664 320414 687441 1435482 2903269 5676858 10732176
|
||||
19 26 46 106 242 511 1026 2018 3936 7628 14717 28425 55378 109503 220293 449949 927972 1918877 3950775 8052827 16183409
|
||||
20 31 49 86 176 402 943 2156 4718 9863 19759 38080 70838 127550 222825 378466 626192 1011095 1595957 2466562 3738148
|
||||
21 38 78 154 290 530 955 1727 3192 6093 11965 23799 47057 91071 170733 308153 533642 885075 1404663 2132847 3100971
|
||||
26 47 77 121 194 338 660 1401 3044 6459 13058 24883 44476 74317 115666 167034 223706 282724 364549 577436 1281654
|
||||
7 32 70 121 185 262 352 455 571 700 842 997 1165 1346 1540 1747 1967 2200 2446 2705 2977
|
||||
9 13 22 42 93 227 561 1334 2997 6345 12700 24154 43881 76527 128687 209478 331217 510213 767682 1130794 1633861
|
||||
5 15 25 35 45 55 65 75 85 95 105 115 125 135 145 155 165 175 185 195 205
|
||||
17 37 66 111 181 278 398 552 808 1347 2537 5097 10621 23194 53789 130960 324620 795294 1890505 4324968 9505338
|
||||
10 21 47 103 213 415 777 1437 2682 5100 9899 19619 39701 81754 169905 352347 721122 1444279 2815799 5330023 9788669
|
||||
13 11 15 41 109 242 465 804 1285 1933 2771 3819 5093 6604 8357 10350 12573 15007 17623 20381 23229
|
||||
9 22 43 82 177 412 945 2068 4341 8873 17869 35625 70241 136463 260337 486970 894200 1618802 2911453 5259931 9673910
|
||||
2 -1 -4 -7 -10 -13 -16 -19 -22 -25 -28 -31 -34 -37 -40 -43 -46 -49 -52 -55 -58
|
||||
25 49 102 201 367 636 1085 1894 3480 6757 13615 27812 56703 114678 229950 457538 903072 1764642 3403789 6462856 12056176
|
||||
19 32 57 103 188 352 682 1360 2763 5668 11651 23848 48453 97860 197624 402206 830175 1740496 3691429 7858001 16641182
|
||||
9 13 29 71 161 335 651 1208 2201 4063 7786 15580 32139 66959 138424 280777 555665 1070737 2008835 3672709 6551973
|
||||
-6 -2 11 33 64 104 153 211 278 354 439 533 636 748 869 999 1138 1286 1443 1609 1784
|
||||
10 19 36 76 168 378 856 1914 4138 8533 16696 31008 54832 92700 150468 235414 356250 523015 746812 1039348 1412232
|
||||
3 8 22 46 81 128 188 262 351 456 578 718 877 1056 1256 1478 1723 1992 2286 2606 2953
|
||||
16 37 69 105 143 208 402 1000 2618 6505 15064 32800 68053 136153 265127 505970 951092 1767489 3256591 5962615 10868987
|
||||
10 15 23 31 43 81 191 440 906 1689 3032 5752 12357 29481 72620 174613 399898 867299 1784981 3502261 6584199
|
||||
9 27 49 82 139 239 411 705 1216 2142 3943 7783 16690 38372 91547 219216 514843 1171309 2568285 5421944 11032453
|
||||
16 25 34 43 52 61 70 79 88 97 106 115 124 133 142 151 160 169 178 187 196
|
||||
2 14 52 146 346 735 1456 2759 5074 9116 16028 27568 46346 76117 122136 191581 294050 442138 652100 944606 1345594
|
||||
4 22 52 91 149 267 544 1173 2495 5113 10190 20225 40912 85206 181528 389233 826150 1715304 3460984 6768279 12825231
|
||||
21 31 41 51 61 71 81 91 101 111 121 131 141 151 161 171 181 191 201 211 221
|
||||
22 39 72 145 297 582 1067 1839 3058 5133 9152 17765 36801 77996 163319 331507 647558 1216083 2199584 3842905 6505297
|
||||
7 22 45 76 115 162 217 280 351 430 517 612 715 826 945 1072 1207 1350 1501 1660 1827
|
||||
-2 7 31 78 159 296 552 1105 2397 5400 12068 26128 54586 110827 221203 438926 872656 1743923 3500729 7041360 14157097
|
||||
8 9 11 14 18 23 29 36 44 53 63 74 86 99 113 128 144 161 179 198 218
|
||||
6 0 -7 -15 -24 -34 -45 -57 -70 -84 -99 -115 -132 -150 -169 -189 -210 -232 -255 -279 -304
|
||||
17 19 27 43 64 82 84 52 -37 -211 -503 -951 -1598 -2492 -3686 -5238 -7211 -9673 -12697 -16361 -20748
|
||||
12 5 -4 -11 -6 27 117 345 954 2578 6641 15972 35666 74195 144752 266839 468280 788319 1283522 2040251 3201106
|
||||
-4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
|
||||
3 0 6 33 93 197 360 624 1111 2119 4282 8849 18257 37523 77846 165693 364347 821630 1869014 4215989 9312565
|
||||
3 24 63 118 180 246 360 704 1777 4737 12055 28769 64886 139977 291993 594335 1189351 2354894 4637403 9117248 17931616
|
||||
15 27 45 64 76 74 77 190 710 2292 6215 14871 32800 69013 142156 291563 599909 1237785 2548293 5202538 10477368
|
||||
9 27 49 75 105 139 177 219 265 315 369 427 489 555 625 699 777 859 945 1035 1129
|
||||
7 18 30 56 118 246 481 882 1537 2578 4200 6684 10424 15958 24003 35494 51627 73906 104194 144768 198378
|
||||
22 38 64 115 225 457 923 1831 3593 7057 13967 27808 55258 108546 209104 393002 718768 1278320 2211874 3727841 6128887
|
||||
-2 4 31 90 193 351 574 885 1378 2381 4843 11181 27050 64901 150836 337205 724626 1498582 2987295 5748904 10696643
|
||||
1 0 0 1 3 6 10 15 21 28 36 45 55 66 78 91 105 120 136 153 171
|
||||
7 29 58 91 127 172 249 413 771 1507 2912 5419 9643 16426 26887 42477 65039 96873 140806 200267 279367
|
||||
4 0 5 25 76 192 434 915 1864 3762 7604 15392 31092 62596 125907 254105 516044 1053596 2151911 4364551 8723660
|
||||
-3 6 21 35 31 -24 -185 -535 -1197 -2368 -4390 -7828 -13368 -20937 -26496 -12926 72637 370342 1217155 3367177 8414593
|
||||
20 26 38 63 101 141 158 111 -58 -424 -1078 -2125 -3681 -5869 -8814 -12637 -17448 -23338 -30370 -38569 -47911
|
||||
14 28 61 139 297 577 1038 1795 3107 5546 10307 19780 38645 76065 150205 297571 592030 1182806 2369267 4747107 9493891
|
||||
-5 4 33 99 226 449 827 1477 2650 4890 9360 18499 37307 75759 153144 305533 598125 1144928 2139131 3898643 6932648
|
||||
-5 0 30 105 252 507 930 1643 2900 5202 9490 17509 32578 61290 117195 228414 452557 904480 1805570 3567701 6931124
|
||||
9 14 35 86 196 416 827 1563 2880 5334 10188 20261 41566 86247 177473 356985 695751 1307394 2362317 4097188 6808892
|
||||
20 42 79 134 210 310 437 594 784 1010 1275 1582 1934 2334 2785 3290 3852 4474 5159 5910 6730
|
||||
18 36 67 112 184 327 642 1320 2682 5226 9681 17068 28768 46597 72888 110580 163314 235536 332607 460920 628024
|
||||
1 16 54 127 246 414 616 806 891 712 22 -1539 -4472 -9450 -17352 -29300 -46699 -71280 -105146 -150821 -211302
|
||||
12 19 18 9 11 86 368 1097 2671 5759 11578 22558 43872 86831 176168 365099 765198 1603104 3323596 6769750 13488005
|
||||
13 25 47 82 144 270 532 1049 1999 3631 6277 10364 16426 25116 37218 53659 75521 104053 140683 187030 244916
|
||||
18 44 82 141 251 474 923 1814 3590 7166 14354 28547 55782 106376 197468 357111 631345 1097711 1893752 3281337 5796298
|
||||
-3 -5 -7 2 47 165 394 747 1161 1417 1059 -573 -3879 -7342 -2954 35062 176409 593127 1686497 4356260 10558447
|
||||
9 18 38 77 151 288 532 947 1621 2670 4242 6521 9731 14140 20064 27871 37985 50890 67134 87333 112175
|
||||
11 25 38 62 123 264 553 1108 2159 4181 8161 16115 32062 63820 126273 247277 478311 913625 1724420 3219124 5947937
|
||||
7 10 28 80 197 425 826 1488 2569 4430 7980 15498 32465 71399 159412 352272 759211 1584594 3194820 6221348 11713301
|
||||
4 -5 -19 -38 -62 -91 -125 -164 -208 -257 -311 -370 -434 -503 -577 -656 -740 -829 -923 -1022 -1126
|
||||
-4 4 31 94 230 510 1063 2118 4078 7653 14099 25637 46160 82377 145591 254363 438376 743882 1241191 2034744 3276402
|
||||
2 8 17 25 34 63 164 445 1105 2500 5292 10793 21711 43643 87849 176089 348620 676840 1282539 2366281 4248104
|
||||
10 24 35 51 93 193 396 780 1514 2980 5991 12143 24345 47577 89932 164004 288690 491480 811315 1302099 2036957
|
||||
1 18 49 95 156 231 318 414 515 616 711 793 854 885 876 816 693 494 205 -189 -704
|
||||
0 10 37 83 148 241 415 848 2018 5075 12624 30344 70244 156988 339726 713399 1455732 2889320 5582623 10509641 19295916
|
||||
1 17 40 70 112 175 263 355 378 202 -248 -517 1774 14377 58060 182207 494627 1215467 2770252 5944056 12128040
|
||||
22 46 83 133 196 272 361 463 578 706 847 1001 1168 1348 1541 1747 1966 2198 2443 2701 2972
|
||||
13 30 53 75 85 82 112 335 1124 3190 7729 16621 32805 61139 110361 197224 354507 645418 1187905 2193563 4027137
|
||||
22 38 65 111 184 292 443 645 906 1234 1637 2123 2700 3376 4159 5057 6078 7230 8521 9959 11552
|
||||
-7 -3 12 48 137 352 825 1759 3441 6286 10983 18885 32900 59312 111199 214421 417517 807255 1531986 2835306 5102751
|
||||
6 19 48 101 195 380 773 1599 3249 6389 12189 22787 42160 77642 142408 259333 466736 826631 1436230 2443577 4068337
|
||||
6 19 38 70 138 290 616 1278 2566 5025 9762 19156 38404 78737 163900 342877 714254 1471611 2985678 5948678 11620590
|
||||
6 9 15 18 17 18 30 56 95 208 769 3130 11086 33741 90658 220534 495084 1040355 2068331 3922442 7141463
|
||||
20 39 62 81 88 75 34 -35 -91 40 884 3815 12173 33765 86307 208785 484198 1083698 2351220 4967152 10272446
|
||||
7 9 14 13 -9 -62 -130 -143 63 830 2907 8080 20783 51916 127332 305732 714777 1621365 3564450 7600425 15748881
|
||||
26 35 41 44 44 41 35 26 14 -1 -19 -40 -64 -91 -121 -154 -190 -229 -271 -316 -364
|
||||
22 40 75 133 217 327 455 570 588 322 -593 -2805 -7385 -16007 -31173 -56488 -96990 -159540 -253277 -390143 -585483
|
||||
15 16 22 46 115 274 583 1100 1846 2755 3628 4144 4047 3750 5813 18109 60021 173670 442730 1021246 2172799
|
||||
-3 1 10 18 22 27 50 123 295 633 1222 2164 3576 5587 8334 11957 16593 22369 29394 37750 47482
|
||||
12 21 26 27 24 30 103 400 1264 3387 8173 18602 41262 90947 200630 442261 968683 2095790 4460305 9319056 19114059
|
||||
6 20 33 42 56 107 261 629 1378 2742 5033 8652 14100 21989 33053 48159 68318 94696 128625 171614 225360
|
||||
13 27 63 126 228 403 740 1460 3078 6709 14598 30978 63387 124605 235405 428348 752891 1282119 2121457 3419766 5383278
|
||||
23 38 61 113 233 494 1046 2200 4565 9245 18102 34111 61903 108755 186601 316182 535323 914640 1585883 2790781 4961869
|
||||
10 10 8 9 23 65 155 318 584 988 1570 2375 3453 4859 6653 8900 11670 15038 19084 23893 29555
|
||||
24 44 69 109 194 389 823 1740 3580 7098 13529 24807 43846 74891 123947 199294 312096 477112 713517 1045841 1505034
|
||||
-6 -9 -12 -15 -18 -21 -24 -27 -30 -33 -36 -39 -42 -45 -48 -51 -54 -57 -60 -63 -66
|
||||
14 23 27 35 68 159 353 707 1290 2183 3479 5283 7712 10895 14973 20099 26438 34167 43475 54563 67644
|
||||
7 29 79 166 310 557 1002 1833 3421 6497 12474 23996 45851 86522 160956 295738 538951 978833 1778229 3236182 5894304
|
||||
17 36 74 133 209 291 371 488 845 2069 5756 15595 39653 94909 215969 471255 992125 2023845 4013000 7755418 14644761
|
||||
12 15 15 11 10 46 223 792 2282 5740 13222 28869 61286 128655 269281 562489 1168671 2404083 4877858 9739127 19116561
|
||||
7 23 47 83 135 207 303 427 583 775 1007 1283 1607 1983 2415 2907 3463 4087 4783 5555 6407
|
||||
6 30 63 111 201 393 794 1572 2962 5248 8696 13404 19027 24329 26511 20265 -3490 -59222 -168763 -363635 -687675
|
||||
15 13 15 38 108 260 538 995 1693 2703 4105 5988 8450 11598 15548 20425 26363 33505 42003 52018 63720
|
||||
@@ -1,69 +0,0 @@
|
||||
|
||||
<article class="day-desc"><h2>--- Day 9: Mirage Maintenance ---</h2><p>You ride the camel through the sandstorm and stop where the ghost's maps told you to stop. <span title="The sound of a sandstorm slowly settling.">The sandstorm subsequently subsides, somehow seeing you standing at an <em>oasis</em>!</span></p>
|
||||
<p>The camel goes to get some water and you stretch your neck. As you look up, you discover what must be yet another giant floating island, this one made of metal! That must be where the <em>parts to fix the sand machines</em> come from.</p>
|
||||
<p>There's even a <a href="https://en.wikipedia.org/wiki/Hang_gliding" target="_blank">hang glider</a> partially buried in the sand here; once the sun rises and heats up the sand, you might be able to use the glider and the hot air to get all the way up to the metal island!</p>
|
||||
<p>While you wait for the sun to rise, you admire the oasis hidden here in the middle of Desert Island. It must have a delicate ecosystem; you might as well take some ecological readings while you wait. Maybe you can report any environmental instabilities you find to someone so the oasis can be around for the next sandstorm-worn traveler.</p>
|
||||
<p>You pull out your handy <em>Oasis And Sand Instability Sensor</em> and analyze your surroundings. The OASIS produces a report of many values and how they are changing over time (your puzzle input). Each line in the report contains the <em>history</em> of a single value. For example:</p>
|
||||
<pre><code>0 3 6 9 12 15
|
||||
1 3 6 10 15 21
|
||||
10 13 16 21 30 45
|
||||
</code></pre>
|
||||
<p>To best protect the oasis, your environmental report should include a <em>prediction of the next value</em> in each history. To do this, start by making a new sequence from the <em>difference at each step</em> of your history. If that sequence is <em>not</em> all zeroes, repeat this process, using the sequence you just generated as the input sequence. Once all of the values in your latest sequence are zeroes, you can extrapolate what the next value of the original history should be.</p>
|
||||
<p>In the above dataset, the first history is <code>0 3 6 9 12 15</code>. Because the values increase by <code>3</code> each step, the first sequence of differences that you generate will be <code>3 3 3 3 3</code>. Note that this sequence has one fewer value than the input sequence because at each step it considers two numbers from the input. Since these values aren't <em>all zero</em>, repeat the process: the values differ by <code>0</code> at each step, so the next sequence is <code>0 0 0 0</code>. This means you have enough information to extrapolate the history! Visually, these sequences can be arranged like this:</p>
|
||||
<pre><code>0 3 6 9 12 15
|
||||
3 3 3 3 3
|
||||
0 0 0 0
|
||||
</code></pre>
|
||||
<p>To extrapolate, start by adding a new zero to the end of your list of zeroes; because the zeroes represent differences between the two values above them, this also means there is now a placeholder in every sequence above it:<p>
|
||||
<pre><code>0 3 6 9 12 15 <em>B</em>
|
||||
3 3 3 3 3 <em>A</em>
|
||||
0 0 0 0 <em>0</em>
|
||||
</code></pre>
|
||||
<p>You can then start filling in placeholders from the bottom up. <code>A</code> needs to be the result of increasing <code>3</code> (the value to its left) by <code>0</code> (the value below it); this means <code>A</code> must be <code><em>3</em></code>:</p>
|
||||
<pre><code>0 3 6 9 12 15 B
|
||||
3 3 3 3 <em>3</em> <em>3</em>
|
||||
0 0 0 0 <em>0</em>
|
||||
</code></pre>
|
||||
<p>Finally, you can fill in <code>B</code>, which needs to be the result of increasing <code>15</code> (the value to its left) by <code>3</code> (the value below it), or <code><em>18</em></code>:</p>
|
||||
<pre><code>0 3 6 9 12 <em>15</em> <em>18</em>
|
||||
3 3 3 3 3 <em>3</em>
|
||||
0 0 0 0 0
|
||||
</code></pre>
|
||||
<p>So, the next value of the first history is <code><em>18</em></code>.</p>
|
||||
<p>Finding all-zero differences for the second history requires an additional sequence:</p>
|
||||
<pre><code>1 3 6 10 15 21
|
||||
2 3 4 5 6
|
||||
1 1 1 1
|
||||
0 0 0
|
||||
</code></pre>
|
||||
<p>Then, following the same process as before, work out the next value in each sequence from the bottom up:</p>
|
||||
<pre><code>1 3 6 10 15 21 <em>28</em>
|
||||
2 3 4 5 6 <em>7</em>
|
||||
1 1 1 1 <em>1</em>
|
||||
0 0 0 <em>0</em>
|
||||
</code></pre>
|
||||
<p>So, the next value of the second history is <code><em>28</em></code>.</p>
|
||||
<p>The third history requires even more sequences, but its next value can be found the same way:</p>
|
||||
<pre><code>10 13 16 21 30 45 <em>68</em>
|
||||
3 3 5 9 15 <em>23</em>
|
||||
0 2 4 6 <em>8</em>
|
||||
2 2 2 <em>2</em>
|
||||
0 0 <em>0</em>
|
||||
</code></pre>
|
||||
<p>So, the next value of the third history is <code><em>68</em></code>.</p>
|
||||
<p>If you find the next value for each history in this example and add them together, you get <code><em>114</em></code>.</p>
|
||||
<p>Analyze your OASIS report and extrapolate the next value for each history. <em>What is the sum of these extrapolated values?</em></p>
|
||||
|
||||
<p>Your puzzle answer was <code>1980437560</code>.</p><p class="day-success">The first half of this puzzle is complete! It provides one gold star: *</p>
|
||||
<article class="day-desc"><h2 id="part2">--- Part Two ---</h2><p>Of course, it would be nice to have <em>even more history</em> included in your report. Surely it's safe to just <em>extrapolate backwards</em> as well, right?</p>
|
||||
<p>For each history, repeat the process of finding differences until the sequence of differences is entirely zero. Then, rather than adding a zero to the end and filling in the next values of each previous sequence, you should instead add a zero to the <em>beginning</em> of your sequence of zeroes, then fill in new <em>first</em> values for each previous sequence.</p>
|
||||
<p>In particular, here is what the third example history looks like when extrapolating back in time:</p>
|
||||
<pre><code><em>5</em> 10 13 16 21 30 45
|
||||
<em>5</em> 3 3 5 9 15
|
||||
<em>-2</em> 0 2 4 6
|
||||
<em>2</em> 2 2 2
|
||||
<em>0</em> 0 0
|
||||
</code></pre>
|
||||
<p>Adding the new values on the left side of each sequence from bottom to top eventually reveals the new left-most history value: <code><em>5</em></code>.</p>
|
||||
<p>Doing this for the remaining example data above results in previous values of <code><em>-3</em></code> for the first history and <code><em>0</em></code> for the second history. Adding all three new values together produces <code><em>2</em></code>.</p>
|
||||
<p>Analyze your OASIS report again, this time extrapolating the <em>previous</em> value for each history. <em>What is the sum of these extrapolated values?</em></p>
|
||||
Reference in New Issue
Block a user