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    <title>Forem: Minindu Rupasinghe</title>
    <description>The latest articles on Forem by Minindu Rupasinghe (@kryko7).</description>
    <link>https://forem.com/kryko7</link>
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      <title>Forem: Minindu Rupasinghe</title>
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    <item>
      <title>Advent of Code 2025 - Day 5: Cafeteria</title>
      <dc:creator>Minindu Rupasinghe</dc:creator>
      <pubDate>Wed, 10 Dec 2025 16:48:19 +0000</pubDate>
      <link>https://forem.com/kryko7/advent-of-code-2025-day-5-cafeteria-4m7k</link>
      <guid>https://forem.com/kryko7/advent-of-code-2025-day-5-cafeteria-4m7k</guid>
      <description>&lt;p&gt;&lt;a href="https://media2.dev.to/dynamic/image/width=800%2Cheight=%2Cfit=scale-down%2Cgravity=auto%2Cformat=auto/https%3A%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Farticles%2Ff3anz5qrse5kpqugc7ff.png" class="article-body-image-wrapper"&gt;&lt;img src="https://media2.dev.to/dynamic/image/width=800%2Cheight=%2Cfit=scale-down%2Cgravity=auto%2Cformat=auto/https%3A%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Farticles%2Ff3anz5qrse5kpqugc7ff.png" alt="Me solving AoC Day 5" width="800" height="560"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;h2&gt;
  
  
  The Problem
&lt;/h2&gt;

&lt;p&gt;The Elves have a database with fresh ingredient ID ranges and need to check their inventory. Part 1 asks: given specific ingredient IDs, how many are fresh (fall within the ranges)? Part 2 reveals the real question: how many total IDs do these ranges cover?&lt;/p&gt;

&lt;p&gt;Example:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Ranges: &lt;code&gt;3-5&lt;/code&gt;, &lt;code&gt;10-14&lt;/code&gt;, &lt;code&gt;16-20&lt;/code&gt;, &lt;code&gt;12-18&lt;/code&gt;
&lt;/li&gt;
&lt;li&gt;IDs to check: &lt;code&gt;1, 5, 8, 11, 17, 32&lt;/code&gt;
&lt;/li&gt;
&lt;li&gt;Fresh IDs from list: 3 (IDs 5, 11, 17)&lt;/li&gt;
&lt;li&gt;Total IDs covered by ranges: 14&lt;/li&gt;
&lt;/ul&gt;

&lt;h2&gt;
  
  
  My Approach
&lt;/h2&gt;

&lt;p&gt;When I saw overlapping ranges in Part 1, I knew Part 2 would likely ask about the ranges themselves. A brute-force check works for Part 1, but counting all IDs with overlaps is messy. So I merged the ranges upfront; if ranges overlap, combine them into one. This made Part 2 trivial.&lt;/p&gt;

&lt;h3&gt;
  
  
  Merging Ranges
&lt;/h3&gt;

&lt;p&gt;Sort ranges and merge overlapping intervals. Ranges like &lt;code&gt;10-14&lt;/code&gt; and &lt;code&gt;12-18&lt;/code&gt; become &lt;code&gt;10-18&lt;/code&gt;.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="k"&gt;fn&lt;/span&gt; &lt;span class="nf"&gt;merge_ranges&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;fresh_ranges&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt;&lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="nb"&gt;Vec&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;u64&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nb"&gt;u64&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="nb"&gt;Vec&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;u64&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nb"&gt;u64&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="c1"&gt;// Sort ranges in descending order by start value&lt;/span&gt;
    &lt;span class="c1"&gt;// This allows us to pop from the end (smallest start) for processing&lt;/span&gt;
    &lt;span class="n"&gt;fresh_ranges&lt;/span&gt;&lt;span class="nf"&gt;.sort_by&lt;/span&gt;&lt;span class="p"&gt;(|&lt;/span&gt;&lt;span class="n"&gt;a&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;b&lt;/span&gt;&lt;span class="p"&gt;|&lt;/span&gt; &lt;span class="n"&gt;b&lt;/span&gt;&lt;span class="na"&gt;.0&lt;/span&gt;&lt;span class="nf"&gt;.cmp&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;&amp;amp;&lt;/span&gt;&lt;span class="n"&gt;a&lt;/span&gt;&lt;span class="na"&gt;.0&lt;/span&gt;&lt;span class="p"&gt;));&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;merged_ranges&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;Vec&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;u64&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nb"&gt;u64&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nn"&gt;Vec&lt;/span&gt;&lt;span class="p"&gt;::&lt;/span&gt;&lt;span class="nf"&gt;new&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;

    &lt;span class="k"&gt;while&lt;/span&gt; &lt;span class="n"&gt;fresh_ranges&lt;/span&gt;&lt;span class="nf"&gt;.len&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="c1"&gt;// Pop the range with the smallest start value&lt;/span&gt;
        &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;range&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;fresh_ranges&lt;/span&gt;&lt;span class="nf"&gt;.pop&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="nf"&gt;.unwrap&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;

        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;fresh_ranges&lt;/span&gt;&lt;span class="nf"&gt;.len&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="c1"&gt;// Last range, just add it&lt;/span&gt;
            &lt;span class="n"&gt;merged_ranges&lt;/span&gt;&lt;span class="nf"&gt;.push&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;range&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt; &lt;span class="k"&gt;else&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="c1"&gt;// Check if the current range overlaps with the next range&lt;/span&gt;
            &lt;span class="c1"&gt;// Ranges overlap if current end &amp;gt;= next start&lt;/span&gt;
            &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;range&lt;/span&gt;&lt;span class="na"&gt;.1&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;=&lt;/span&gt; &lt;span class="n"&gt;fresh_ranges&lt;/span&gt;&lt;span class="nf"&gt;.last&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="nf"&gt;.unwrap&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="na"&gt;.0&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                &lt;span class="c1"&gt;// Merge: pop the next range and extend the current range's end&lt;/span&gt;
                &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;another&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;fresh_ranges&lt;/span&gt;&lt;span class="nf"&gt;.pop&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="nf"&gt;.unwrap&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
                &lt;span class="n"&gt;range&lt;/span&gt;&lt;span class="na"&gt;.1&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;range&lt;/span&gt;&lt;span class="na"&gt;.1&lt;/span&gt;&lt;span class="nf"&gt;.max&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;another&lt;/span&gt;&lt;span class="na"&gt;.1&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
                &lt;span class="c1"&gt;// Push merged range back to continue merging&lt;/span&gt;
                &lt;span class="n"&gt;fresh_ranges&lt;/span&gt;&lt;span class="nf"&gt;.push&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;range&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
            &lt;span class="p"&gt;}&lt;/span&gt; &lt;span class="k"&gt;else&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                &lt;span class="c1"&gt;// No overlap, add to merged list&lt;/span&gt;
                &lt;span class="n"&gt;merged_ranges&lt;/span&gt;&lt;span class="nf"&gt;.push&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;range&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
            &lt;span class="p"&gt;}&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="n"&gt;merged_ranges&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  Part 1: Check Specific IDs
&lt;/h3&gt;

&lt;p&gt;Check if each ingredient falls within any merged range.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="k"&gt;fn&lt;/span&gt; &lt;span class="nf"&gt;fresh_ingredients&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;fresh_ranges&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt;&lt;span class="nb"&gt;Vec&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;u64&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nb"&gt;u64&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;ingredients&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt;&lt;span class="nb"&gt;Vec&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nb"&gt;u64&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="nb"&gt;u32&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;count&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;ingredient&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="n"&gt;ingredients&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;range&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="n"&gt;fresh_ranges&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;range&lt;/span&gt;&lt;span class="na"&gt;.0&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;=&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="n"&gt;ingredient&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;range&lt;/span&gt;&lt;span class="na"&gt;.1&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;=&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="n"&gt;ingredient&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                &lt;span class="n"&gt;count&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
                &lt;span class="k"&gt;break&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
            &lt;span class="p"&gt;}&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="n"&gt;count&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  Part 2: Count All Fresh IDs
&lt;/h3&gt;

&lt;p&gt;Sum the size of each merged range.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="k"&gt;fn&lt;/span&gt; &lt;span class="nf"&gt;all_fresh_ingredients&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;fresh_ranges&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt;&lt;span class="nb"&gt;Vec&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;u64&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nb"&gt;u64&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="nb"&gt;u64&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;count&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;range&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="n"&gt;fresh_ranges&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="n"&gt;count&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="n"&gt;range&lt;/span&gt;&lt;span class="na"&gt;.1&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;range&lt;/span&gt;&lt;span class="na"&gt;.0&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="n"&gt;count&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  Why This Works
&lt;/h2&gt;

&lt;p&gt;Merging ranges eliminates overlaps, making Part 2 a simple sum instead of complex overlap handling.&lt;/p&gt;

&lt;p&gt;Practice interval merging: &lt;a href="https://leetcode.com/problems/merge-intervals/description/" rel="noopener noreferrer"&gt;LeetCode Merge Intervals&lt;/a&gt;&lt;/p&gt;

&lt;h2&gt;
  
  
  Full Solution
&lt;/h2&gt;

&lt;p&gt;You can find my complete solution, including input parsing and testing, on GitHub:&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;&lt;a href="https://github.com/Kryko7/AoC" rel="noopener noreferrer"&gt;View Full Solution on GitHub&lt;/a&gt;&lt;/strong&gt;&lt;/p&gt;




&lt;p&gt;&lt;em&gt;Have you solved this puzzle differently? I'd love to hear about alternative approaches in the comments!&lt;/em&gt;&lt;/p&gt;

</description>
      <category>adventofcode</category>
      <category>rust</category>
      <category>algorithms</category>
      <category>programming</category>
    </item>
    <item>
      <title>Advent of Code 2025 - Day 4: Paper Roll Removal</title>
      <dc:creator>Minindu Rupasinghe</dc:creator>
      <pubDate>Tue, 09 Dec 2025 09:41:04 +0000</pubDate>
      <link>https://forem.com/kryko7/advent-of-code-2025-day-4-paper-roll-removal-489a</link>
      <guid>https://forem.com/kryko7/advent-of-code-2025-day-4-paper-roll-removal-489a</guid>
      <description>&lt;p&gt;&lt;a href="https://media2.dev.to/dynamic/image/width=800%2Cheight=%2Cfit=scale-down%2Cgravity=auto%2Cformat=auto/https%3A%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Farticles%2Fg9wj88hfn54utmltnyd8.png" class="article-body-image-wrapper"&gt;&lt;img src="https://media2.dev.to/dynamic/image/width=800%2Cheight=%2Cfit=scale-down%2Cgravity=auto%2Cformat=auto/https%3A%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Farticles%2Fg9wj88hfn54utmltnyd8.png" alt="Me solving AoC day 4" width="800" height="800"&gt;&lt;/a&gt;&lt;br&gt;
Day 4 was about helping elves clear paper rolls so forklifts could break through a wall. The twist? Forklifts can only grab rolls with fewer than 4 neighbors.&lt;/p&gt;
&lt;h2&gt;
  
  
  The Problem
&lt;/h2&gt;

&lt;p&gt;Given a grid of paper rolls (&lt;code&gt;@&lt;/code&gt;) and empty spaces (&lt;code&gt;.&lt;/code&gt;):&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;..@@.@@@@.
@@@.@.@.@@
@@@@@.@.@@
@.@@@@..@.
@@.@@@@.@@
.@@@@@@@.@
.@.@.@.@@@
@.@@@.@@@@
.@@@@@@@@.
@.@.@@@.@.
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;strong&gt;Part 1:&lt;/strong&gt; Count rolls that have fewer than 4 neighbors (checking all 8 surrounding cells).&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Part 2:&lt;/strong&gt; Remove accessible rolls. Once removed, previously blocked rolls might become accessible. Continue until nothing remains to be removed.&lt;/p&gt;

&lt;h2&gt;
  
  
  Part 1: Counting Accessible Rolls
&lt;/h2&gt;

&lt;p&gt;I parsed the grid (&lt;code&gt;.&lt;/code&gt; = 0, &lt;code&gt;@&lt;/code&gt; = 1) and counted neighbors for each roll. The only trick was keeping the 8 direction checks clean:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="k"&gt;const&lt;/span&gt; &lt;span class="n"&gt;DIRECTIONS&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="p"&gt;[(&lt;/span&gt;&lt;span class="nb"&gt;i32&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nb"&gt;i32&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt; &lt;span class="mi"&gt;8&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;
    &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;
    &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;
&lt;span class="p"&gt;];&lt;/span&gt;

&lt;span class="k"&gt;fn&lt;/span&gt; &lt;span class="nf"&gt;liftable_roll_papers&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt;&lt;span class="nb"&gt;Vec&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nb"&gt;Vec&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nb"&gt;i32&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&amp;gt;&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="nb"&gt;i32&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="nf"&gt;.len&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="nb"&gt;i32&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;m&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;&lt;span class="nf"&gt;.len&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="nb"&gt;i32&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;liftable&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;x&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;..&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;..&lt;/span&gt;&lt;span class="n"&gt;m&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="nb"&gt;usize&lt;/span&gt;&lt;span class="p"&gt;][&lt;/span&gt;&lt;span class="n"&gt;y&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="nb"&gt;usize&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;rolls&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
                &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;direction&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="n"&gt;DIRECTIONS&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;x_new&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;x&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;direction&lt;/span&gt;&lt;span class="na"&gt;.0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
                    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;y_new&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;direction&lt;/span&gt;&lt;span class="na"&gt;.1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
                    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;x_new&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;x_new&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;y_new&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;y_new&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="n"&gt;m&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;x_new&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="nb"&gt;usize&lt;/span&gt;&lt;span class="p"&gt;][&lt;/span&gt;&lt;span class="n"&gt;y_new&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="nb"&gt;usize&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                            &lt;span class="n"&gt;rolls&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
                        &lt;span class="p"&gt;}&lt;/span&gt;
                    &lt;span class="p"&gt;}&lt;/span&gt;
                &lt;span class="p"&gt;}&lt;/span&gt;
                &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;rolls&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="mi"&gt;4&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                    &lt;span class="n"&gt;liftable&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
                &lt;span class="p"&gt;}&lt;/span&gt;
            &lt;span class="p"&gt;}&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="n"&gt;liftable&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Loop through the grid, check all 8 neighbors, and count if there are fewer than 4. Nothing fancy.&lt;/p&gt;

&lt;h3&gt;
  
  
  Example
&lt;/h3&gt;

&lt;p&gt;For the sample grid, rolls at the edges or in sparse areas have fewer neighbors:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;..xx.xx@x.   &amp;lt;- These x marks show accessible rolls
x@@.@.@.@@
@@@@@.x.@@
@.@@@@..@.
x@.@@@@.@x
.@@@@@@@.@
.@.@.@.@@@
x.@@@.@@@@
.@@@@@@@@.
x.x.@@@.x.
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  Part 2: The Chain Reaction
&lt;/h2&gt;

&lt;p&gt;This is where it got interesting. Removing rolls creates a domino effect; rolls that were surrounded might suddenly become accessible.&lt;/p&gt;

&lt;p&gt;I took the straightforward approach: scan the entire grid, remove what I could, and repeat until no changes were made.&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="k"&gt;fn&lt;/span&gt; &lt;span class="nf"&gt;removable_roll_papers&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt;&lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="nb"&gt;Vec&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nb"&gt;Vec&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nb"&gt;i32&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&amp;gt;&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="nb"&gt;i32&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="nf"&gt;.len&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="nb"&gt;i32&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;m&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;&lt;span class="nf"&gt;.len&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="nb"&gt;i32&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;removed&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;total_removed&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;while&lt;/span&gt; &lt;span class="n"&gt;removed&lt;/span&gt; &lt;span class="o"&gt;!=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="n"&gt;removed&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;x&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;..&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;..&lt;/span&gt;&lt;span class="n"&gt;m&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="nb"&gt;usize&lt;/span&gt;&lt;span class="p"&gt;][&lt;/span&gt;&lt;span class="n"&gt;y&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="nb"&gt;usize&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;rolls&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
                    &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;direction&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="n"&gt;DIRECTIONS&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                        &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;x_new&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;x&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;direction&lt;/span&gt;&lt;span class="na"&gt;.0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
                        &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;y_new&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;direction&lt;/span&gt;&lt;span class="na"&gt;.1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
                        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;x_new&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;x_new&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;y_new&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="n"&gt;y_new&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="n"&gt;m&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                            &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;x_new&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="nb"&gt;usize&lt;/span&gt;&lt;span class="p"&gt;][&lt;/span&gt;&lt;span class="n"&gt;y_new&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="nb"&gt;usize&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                                &lt;span class="n"&gt;rolls&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
                            &lt;span class="p"&gt;}&lt;/span&gt;
                        &lt;span class="p"&gt;}&lt;/span&gt;
                    &lt;span class="p"&gt;}&lt;/span&gt;
                    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;rolls&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="mi"&gt;4&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                        &lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="nb"&gt;usize&lt;/span&gt;&lt;span class="p"&gt;][&lt;/span&gt;&lt;span class="n"&gt;y&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="nb"&gt;usize&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
                        &lt;span class="n"&gt;removed&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
                    &lt;span class="p"&gt;}&lt;/span&gt;
                &lt;span class="p"&gt;}&lt;/span&gt;
            &lt;span class="p"&gt;}&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;
        &lt;span class="n"&gt;total_removed&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="n"&gt;removed&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="n"&gt;total_removed&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;The loop tracks &lt;code&gt;removed&lt;/code&gt; each pass. When it hits zero, we're done.&lt;/p&gt;

&lt;h3&gt;
  
  
  How It Works
&lt;/h3&gt;

&lt;p&gt;Starting with the same example grid:&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Pass 1:&lt;/strong&gt; Remove 13 rolls (the initially accessible ones)&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;..xx.xx@x.
x@@.@.@.@@
@@@@@.x.@@
@.@@@@..@.
x@.@@@@.@x
.@@@@@@@.@
.@.@.@.@@@
x.@@@.@@@@
.@@@@@@@@.
x.x.@@@.x.
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;strong&gt;Pass 2:&lt;/strong&gt; More rolls become accessible as their neighbors disappear, remove 12 more&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;.......x..
.@@.x.x.@x
x@@@@...@@
x.@@@@..x.
.@.@@@@.x.
.x@@@@@@.x
.x.@.@.@@@
..@@@.@@@@
.x@@@@@@@.
....@@@...
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;strong&gt;Continue&lt;/strong&gt; until nothing changes.&lt;/p&gt;

&lt;h2&gt;
  
  
  Why This Works
&lt;/h2&gt;

&lt;p&gt;Could I have used a queue to track "maybe accessible" cells? Sure. Could I have been smarter about which cells to recheck? Probably. &lt;/p&gt;

&lt;p&gt;But here's the thing: the grid isn't massive, and the number of passes needed is small. Rolls get removed in waves, and the whole thing converges fast. The simple "scan everything until stable" approach was easier to write and easier to debug than trying to be clever.&lt;/p&gt;

&lt;p&gt;I mutated the grid in-place because tracking a separate "removed" set felt unnecessary. The grid changes, the code reflects that. Done.&lt;/p&gt;

&lt;h2&gt;
  
  
  Full Solution
&lt;/h2&gt;

&lt;p&gt;You can find my complete solution, including input parsing and testing, on GitHub:&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;&lt;a href="https://github.com/Kryko7/AoC" rel="noopener noreferrer"&gt;View Full Solution on GitHub&lt;/a&gt;&lt;/strong&gt;&lt;/p&gt;




&lt;p&gt;&lt;em&gt;Have you solved this puzzle differently? I'd love to hear about alternative approaches in the comments!&lt;/em&gt;&lt;/p&gt;

</description>
      <category>adventofcode</category>
      <category>rust</category>
      <category>programming</category>
      <category>algorithms</category>
    </item>
    <item>
      <title>Advent of Code 2025 - Day 3: Maximizing Battery Joltage</title>
      <dc:creator>Minindu Rupasinghe</dc:creator>
      <pubDate>Mon, 08 Dec 2025 19:23:45 +0000</pubDate>
      <link>https://forem.com/kryko7/advent-of-code-2025-day-3-maximizing-battery-joltage-1n40</link>
      <guid>https://forem.com/kryko7/advent-of-code-2025-day-3-maximizing-battery-joltage-1n40</guid>
      <description>&lt;p&gt;&lt;a href="https://media2.dev.to/dynamic/image/width=800%2Cheight=%2Cfit=scale-down%2Cgravity=auto%2Cformat=auto/https%3A%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Farticles%2Fclgcbbwplbst4veg9bp4.png" class="article-body-image-wrapper"&gt;&lt;img src="https://media2.dev.to/dynamic/image/width=800%2Cheight=%2Cfit=scale-down%2Cgravity=auto%2Cformat=auto/https%3A%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Farticles%2Fclgcbbwplbst4veg9bp4.png" alt="Me solving AoC day 3" width="800" height="560"&gt;&lt;/a&gt;&lt;br&gt;
I recently tackled Day 3 of Advent of Code 2025, and it turned out to be an interesting optimization problem disguised as a battery puzzle. The premise was simple: help restore power to an offline escalator by maximizing the joltage output from battery banks. But the solution required some clever thinking about greedy algorithms and optimization strategies.&lt;/p&gt;
&lt;h2&gt;
  
  
  Understanding the Problem
&lt;/h2&gt;

&lt;p&gt;We're given multiple banks of batteries, where each battery is labeled with a joltage rating from 1 to 9. The puzzle input looks something like this:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;987654321111111
811111111111119
234234234234278
818181911112111
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Each line represents a battery bank, and we need to select specific batteries to form numbers that maximize joltage output.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Part 1:&lt;/strong&gt; Select exactly 2 batteries from each bank to create the largest possible two-digit number. The batteries must maintain their original order (no rearranging).&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Part 2:&lt;/strong&gt; Crank it up to 12 batteries per bank to create twelve-digit numbers.&lt;/p&gt;

&lt;p&gt;The final answer is the sum of maximum joltages across all banks.&lt;/p&gt;

&lt;h2&gt;
  
  
  Part 1: The Two-Battery Problem
&lt;/h2&gt;

&lt;h3&gt;
  
  
  Initial Thoughts
&lt;/h3&gt;

&lt;p&gt;My first reaction was straightforward: iterate through all possible pairs of batteries and pick the maximum. But with potentially long battery banks, this O(n²) approach felt inefficient. There had to be a better way.&lt;/p&gt;

&lt;h3&gt;
  
  
  The Key Insight
&lt;/h3&gt;

&lt;p&gt;Then it hit me: &lt;strong&gt;for a two-digit number, we want the largest digit as far left as possible&lt;/strong&gt;. The tens place contributes 10x more than the ones place, so maximizing the left digit is crucial.&lt;/p&gt;

&lt;p&gt;This led me to think about the problem differently. For any split point in the battery bank, I could form a two-digit number using:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;The maximum digit from the left section (tens place)&lt;/li&gt;
&lt;li&gt;The maximum digit from the right section (ones place)&lt;/li&gt;
&lt;/ul&gt;

&lt;h3&gt;
  
  
  The Solution
&lt;/h3&gt;



&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="k"&gt;fn&lt;/span&gt; &lt;span class="nf"&gt;compute_joltage_1&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;battery_banks&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt;&lt;span class="nb"&gt;Vec&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nb"&gt;Vec&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nb"&gt;u32&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&amp;gt;&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="nb"&gt;u64&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;total_joltage&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;battery_bank&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="n"&gt;battery_banks&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;battery_bank&lt;/span&gt;&lt;span class="nf"&gt;.len&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
        &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;pre_max&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nd"&gt;vec!&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;];&lt;/span&gt;
        &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;post_max&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nd"&gt;vec!&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;];&lt;/span&gt;

        &lt;span class="c1"&gt;// Precompute maximum from left&lt;/span&gt;
        &lt;span class="n"&gt;pre_max&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;battery_bank&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;];&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;..&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="n"&gt;pre_max&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;max&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;pre_max&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="n"&gt;battery_bank&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;]);&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;

        &lt;span class="c1"&gt;// Precompute maximum from right&lt;/span&gt;
        &lt;span class="n"&gt;post_max&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;battery_bank&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;];&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;..&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="n"&gt;post_max&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;max&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;post_max&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="n"&gt;battery_bank&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]);&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;

        &lt;span class="c1"&gt;// Find the best split point&lt;/span&gt;
        &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;joltage&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;..&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="n"&gt;joltage&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;max&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;joltage&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;10&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="n"&gt;pre_max&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="nb"&gt;u64&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;post_max&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="nb"&gt;u64&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;

        &lt;span class="n"&gt;total_joltage&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="n"&gt;joltage&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;

    &lt;span class="n"&gt;total_joltage&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;strong&gt;The strategy:&lt;/strong&gt; &lt;/p&gt;

&lt;ol&gt;
&lt;li&gt;Build a &lt;code&gt;pre_max&lt;/code&gt; array where &lt;code&gt;pre_max[i]&lt;/code&gt; stores the maximum battery value from index 0 to i&lt;/li&gt;
&lt;li&gt;Build a &lt;code&gt;post_max&lt;/code&gt; array where &lt;code&gt;post_max[i]&lt;/code&gt; stores the maximum battery value from index i to the end&lt;/li&gt;
&lt;li&gt;For each possible split point, compute the two-digit number and track the maximum&lt;/li&gt;
&lt;/ol&gt;

&lt;p&gt;This reduces the complexity to &lt;strong&gt;O(n)&lt;/strong&gt; with a single pass to build the arrays and another to find the optimal split. Much better!&lt;/p&gt;

&lt;h3&gt;
  
  
  Example Walkthrough
&lt;/h3&gt;

&lt;p&gt;For the bank &lt;code&gt;987654321111111&lt;/code&gt;:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;
&lt;code&gt;pre_max&lt;/code&gt; = &lt;code&gt;[9,9,9,9,9,9,9,9,9,9,9,9,9,9,9]&lt;/code&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;code&gt;post_max&lt;/code&gt; = &lt;code&gt;[9,8,7,6,5,4,3,2,1,1,1,1,1,1,1]&lt;/code&gt;
&lt;/li&gt;
&lt;li&gt;Best split: position 0, giving us &lt;code&gt;9 * 10 + 8 = 98&lt;/code&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;h2&gt;
  
  
  Part 2: The Twelve-Battery Problem
&lt;/h2&gt;

&lt;h3&gt;
  
  
  The Challenge Escalates
&lt;/h3&gt;

&lt;p&gt;Now we need to select 12 batteries instead of 2. The search space explodes exponentially, making brute force completely impractical. I needed a different approach.&lt;/p&gt;

&lt;h3&gt;
  
  
  Greedy Strategy
&lt;/h3&gt;

&lt;p&gt;The solution came from recognizing that &lt;strong&gt;positional value matters enormously&lt;/strong&gt;. A 9 in the leftmost position contributes &lt;code&gt;9 × 10¹¹&lt;/code&gt;, while a 9 in the rightmost position only contributes &lt;code&gt;9 × 10⁰&lt;/code&gt;. This massive difference means we should greedily select the largest digit possible for each position, working left to right.&lt;/p&gt;

&lt;p&gt;But there's a constraint: we need to ensure we can still select enough batteries for the remaining positions.&lt;/p&gt;

&lt;h3&gt;
  
  
  The Solution
&lt;/h3&gt;



&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="k"&gt;fn&lt;/span&gt; &lt;span class="nf"&gt;compute_joltage_2&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;battery_banks&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt;&lt;span class="nb"&gt;Vec&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nb"&gt;Vec&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nb"&gt;u32&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&amp;gt;&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="nb"&gt;u64&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;total_joltage&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;u64&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;battery_bank&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="n"&gt;battery_banks&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;usize&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;battery_bank&lt;/span&gt;&lt;span class="nf"&gt;.len&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
        &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;dist&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;usize&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="mi"&gt;11&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;  &lt;span class="c1"&gt;// Initial search window end&lt;/span&gt;
        &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;pos&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;usize&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;         &lt;span class="c1"&gt;// Current search start&lt;/span&gt;
        &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;joltage&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;u64&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

        &lt;span class="c1"&gt;// Select 12 digits from most to least significant&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;..=&lt;/span&gt;&lt;span class="mi"&gt;12&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="nf"&gt;.rev&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;digit&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;u32&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
            &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;end&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;dist&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
            &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;start&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;pos&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

            &lt;span class="c1"&gt;// Find the largest digit in the valid range&lt;/span&gt;
            &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="n"&gt;start&lt;/span&gt;&lt;span class="o"&gt;..&lt;/span&gt;&lt;span class="n"&gt;end&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;battery_bank&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;digit&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                    &lt;span class="n"&gt;pos&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
                    &lt;span class="n"&gt;digit&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;battery_bank&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="p"&gt;];&lt;/span&gt;
                &lt;span class="p"&gt;}&lt;/span&gt;
            &lt;span class="p"&gt;}&lt;/span&gt;

            &lt;span class="c1"&gt;// Add this digit's contribution&lt;/span&gt;
            &lt;span class="n"&gt;joltage&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="n"&gt;digit&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="nb"&gt;u64&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="mi"&gt;10u64&lt;/span&gt;&lt;span class="nf"&gt;.pow&lt;/span&gt;&lt;span class="p"&gt;((&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="nb"&gt;u32&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
            &lt;span class="n"&gt;pos&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;  &lt;span class="c1"&gt;// Next search starts after this position&lt;/span&gt;
            &lt;span class="n"&gt;dist&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="c1"&gt;// Expand search window&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;

        &lt;span class="n"&gt;total_joltage&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="n"&gt;joltage&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;

    &lt;span class="n"&gt;total_joltage&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h3&gt;
  
  
  How the Search Window Works
&lt;/h3&gt;

&lt;p&gt;The clever part is managing the &lt;strong&gt;sliding search window&lt;/strong&gt;:&lt;/p&gt;

&lt;ol&gt;
&lt;li&gt;&lt;p&gt;&lt;strong&gt;First digit (position 12):&lt;/strong&gt; Search from index 0 to &lt;code&gt;n-11&lt;/code&gt;. This ensures we leave at least 11 batteries for the remaining positions.&lt;/p&gt;&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;&lt;strong&gt;After selecting a digit at position &lt;code&gt;pos&lt;/code&gt;:&lt;/strong&gt; &lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Next search starts at &lt;code&gt;pos + 1&lt;/code&gt; (can't reuse batteries)&lt;/li&gt;
&lt;li&gt;Search window expands by 1 (we need one fewer remaining battery)&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li&gt;&lt;p&gt;&lt;strong&gt;Continue until all 12 digits are selected&lt;/strong&gt;&lt;/p&gt;&lt;/li&gt;
&lt;/ol&gt;

&lt;h3&gt;
  
  
  Example Walkthrough
&lt;/h3&gt;

&lt;p&gt;For the bank &lt;code&gt;987654321111111&lt;/code&gt;:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Position 12: Search [0, 4], pick 9 at index 0&lt;/li&gt;
&lt;li&gt;Position 11: Search [1, 5], pick 8 at index 1&lt;/li&gt;
&lt;li&gt;Position 10: Search [2, 6], pick 7 at index 2&lt;/li&gt;
&lt;li&gt;...and so on&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;Result: &lt;code&gt;987654321111&lt;/code&gt; (skipping the last few 1s)&lt;/p&gt;

&lt;h2&gt;
  
  
  Why This Greedy Approach Works
&lt;/h2&gt;

&lt;p&gt;The greedy algorithm is optimal because of the &lt;strong&gt;exponential positional value difference&lt;/strong&gt;. Consider this:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Moving from 8 to 9 in position 12: gains &lt;code&gt;1 × 10¹¹ = 100,000,000,000&lt;/code&gt;
&lt;/li&gt;
&lt;li&gt;Maximizing ALL remaining 11 positions with 9s: gains at most &lt;code&gt;9 × (10¹⁰ + ... + 10⁰) ≈ 10¹¹&lt;/code&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;The leftmost position always dominates! This means locally optimal choices (picking the largest digit available for each position) lead to the globally optimal solution.&lt;/p&gt;

&lt;h2&gt;
  
  
  Performance
&lt;/h2&gt;

&lt;p&gt;Both solutions run in &lt;strong&gt;O(n × m)&lt;/strong&gt; time, where n is the number of battery banks and m is the average bank length. The precomputation in Part 1 and the constrained greedy search in Part 2 keep everything efficient even for large inputs.&lt;/p&gt;

&lt;h2&gt;
  
  
  Key Takeaways
&lt;/h2&gt;

&lt;ol&gt;
&lt;li&gt;
&lt;strong&gt;Precomputation saves time:&lt;/strong&gt; Building auxiliary arrays can turn O(n²) problems into O(n) solutions&lt;/li&gt;
&lt;li&gt;
&lt;strong&gt;Greedy works when position matters:&lt;/strong&gt; Problems with exponential positional value often yield to greedy strategies&lt;/li&gt;
&lt;li&gt;
&lt;strong&gt;Constraints guide the solution:&lt;/strong&gt; The "must leave enough batteries" constraint was the key to implementing the greedy approach correctly&lt;/li&gt;
&lt;/ol&gt;

&lt;p&gt;This puzzle reminded me that recognizing problem structure often beats brute force. Sometimes the best optimization is changing your perspective on the problem itself.&lt;/p&gt;

&lt;h2&gt;
  
  
  Full Solution
&lt;/h2&gt;

&lt;p&gt;You can find my complete solution, including input parsing and testing, on GitHub:&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;&lt;a href="https://github.com/Kryko7/AoC" rel="noopener noreferrer"&gt;View Full Solution on GitHub&lt;/a&gt;&lt;/strong&gt;&lt;/p&gt;




&lt;p&gt;&lt;em&gt;Have you solved this puzzle differently? I'd love to hear about alternative approaches in the comments!&lt;/em&gt;&lt;/p&gt;

</description>
      <category>adventofcode</category>
      <category>rust</category>
      <category>programming</category>
      <category>algorithms</category>
    </item>
    <item>
      <title>Advent of Code 2025 Day 2: Gift Shop 🎁</title>
      <dc:creator>Minindu Rupasinghe</dc:creator>
      <pubDate>Sun, 07 Dec 2025 16:14:03 +0000</pubDate>
      <link>https://forem.com/kryko7/advent-of-code-2025-day-2-gift-shop-1lkn</link>
      <guid>https://forem.com/kryko7/advent-of-code-2025-day-2-gift-shop-1lkn</guid>
      <description>&lt;p&gt;&lt;a href="https://media2.dev.to/dynamic/image/width=800%2Cheight=%2Cfit=scale-down%2Cgravity=auto%2Cformat=auto/https%3A%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Farticles%2Fpwqlc7pwderqwx5qdqd3.png" class="article-body-image-wrapper"&gt;&lt;img src="https://media2.dev.to/dynamic/image/width=800%2Cheight=%2Cfit=scale-down%2Cgravity=auto%2Cformat=auto/https%3A%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Farticles%2Fpwqlc7pwderqwx5qdqd3.png" alt="Me solving AoC day 2 problem" width="800" height="560"&gt;&lt;/a&gt;&lt;/p&gt;

&lt;h2&gt;
  
  
  The Problem
&lt;/h2&gt;

&lt;p&gt;We need to find "invalid" product IDs in given ranges. An ID is invalid if it's made of a repeated digit sequence.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Part 1&lt;/strong&gt;: Find IDs repeated exactly twice (e.g., &lt;code&gt;1212&lt;/code&gt;, &lt;code&gt;345345&lt;/code&gt;)&lt;br&gt;&lt;br&gt;
&lt;strong&gt;Part 2&lt;/strong&gt;: Find IDs repeated at least twice (e.g., &lt;code&gt;123123&lt;/code&gt;, &lt;code&gt;1111&lt;/code&gt;, &lt;code&gt;12121212&lt;/code&gt;)&lt;/p&gt;
&lt;h2&gt;
  
  
  Part 1: The Easy One
&lt;/h2&gt;

&lt;p&gt;Part 1 was straightforward. For each number in the range:&lt;/p&gt;

&lt;ol&gt;
&lt;li&gt;Convert to string&lt;/li&gt;
&lt;li&gt;Check if length is even&lt;/li&gt;
&lt;li&gt;Split in half and compare
&lt;/li&gt;
&lt;/ol&gt;
&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="k"&gt;fn&lt;/span&gt; &lt;span class="nf"&gt;invalid_id_sum1&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;ranges&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;Vec&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;u128&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nb"&gt;u128&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="nb"&gt;u128&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;id_sum&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;u128&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;start&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;end&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="n"&gt;ranges&lt;/span&gt;&lt;span class="nf"&gt;.iter&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="n"&gt;start&lt;/span&gt;&lt;span class="o"&gt;..*&lt;/span&gt;&lt;span class="n"&gt;end&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;s&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="nf"&gt;.to_string&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
            &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;s&lt;/span&gt;&lt;span class="nf"&gt;.len&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="o"&gt;%&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt; &lt;span class="o"&gt;!=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                &lt;span class="k"&gt;continue&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
            &lt;span class="p"&gt;}&lt;/span&gt;
            &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;a&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;b&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;s&lt;/span&gt;&lt;span class="nf"&gt;.split_at&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;s&lt;/span&gt;&lt;span class="nf"&gt;.len&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
            &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;u128&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;a&lt;/span&gt;&lt;span class="nf"&gt;.parse&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="nf"&gt;.expect&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"Expected a number"&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
            &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;u128&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;b&lt;/span&gt;&lt;span class="nf"&gt;.parse&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="nf"&gt;.expect&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"Expected a number"&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
            &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;x&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                &lt;span class="n"&gt;id_sum&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
            &lt;span class="p"&gt;}&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="n"&gt;id_sum&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;


&lt;p&gt;Simple: if both halves match, it's invalid.&lt;/p&gt;
&lt;h2&gt;
  
  
  Part 2: The Tricky One
&lt;/h2&gt;

&lt;p&gt;Part 2 got me thinking. Numbers can repeat 2, 3, 4+ times. My first approach only checked one specific split, which failed for cases like:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;
&lt;code&gt;12121212&lt;/code&gt; (should be &lt;code&gt;1212|1212&lt;/code&gt;, not something else)&lt;/li&gt;
&lt;li&gt;
&lt;code&gt;12211221&lt;/code&gt; (should be &lt;code&gt;1221|1221&lt;/code&gt;)&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;&lt;strong&gt;The fix&lt;/strong&gt;: Try all possible split counts from 2 up to the maximum.&lt;/p&gt;

&lt;p&gt;Here's my approach:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="k"&gt;fn&lt;/span&gt; &lt;span class="nf"&gt;invalid_id_sum2&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;ranges&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;Vec&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;u128&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nb"&gt;u128&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="nb"&gt;u128&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;id_sum&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;u128&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;start&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;end&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="n"&gt;ranges&lt;/span&gt;&lt;span class="nf"&gt;.iter&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="n"&gt;start&lt;/span&gt;&lt;span class="o"&gt;..*&lt;/span&gt;&lt;span class="n"&gt;end&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;s&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="nf"&gt;.to_string&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
            &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;map&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="nb"&gt;usize&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;];&lt;/span&gt;
            &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;c&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="n"&gt;s&lt;/span&gt;&lt;span class="nf"&gt;.chars&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="nf"&gt;Some&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;digit&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;c&lt;/span&gt;&lt;span class="nf"&gt;.to_digit&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                    &lt;span class="n"&gt;map&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;digit&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="nb"&gt;usize&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
                &lt;span class="p"&gt;}&lt;/span&gt;
            &lt;span class="p"&gt;}&lt;/span&gt;
            &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;splits&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;usize&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;1000&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

            &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;j&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;..&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;map&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;!=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                    &lt;span class="n"&gt;splits&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;min&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;splits&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;map&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;j&lt;/span&gt;&lt;span class="p"&gt;]);&lt;/span&gt;
                &lt;span class="p"&gt;}&lt;/span&gt;
            &lt;span class="p"&gt;}&lt;/span&gt;
            &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;split&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="o"&gt;..&lt;/span&gt;&lt;span class="n"&gt;splits&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;len&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;s&lt;/span&gt;&lt;span class="nf"&gt;.len&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="n"&gt;split&lt;/span&gt; &lt;span class="p"&gt;;&lt;/span&gt;
                &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;parts&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;Vec&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="nb"&gt;i128&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nn"&gt;Vec&lt;/span&gt;&lt;span class="p"&gt;::&lt;/span&gt;&lt;span class="nf"&gt;new&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
                &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;start&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

                &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;_&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;..&lt;/span&gt;&lt;span class="n"&gt;split&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;end&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;start&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;len&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
                    &lt;span class="n"&gt;parts&lt;/span&gt;&lt;span class="nf"&gt;.push&lt;/span&gt;&lt;span class="p"&gt;((&lt;/span&gt;&lt;span class="o"&gt;&amp;amp;&lt;/span&gt;&lt;span class="n"&gt;s&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;start&lt;/span&gt;&lt;span class="o"&gt;..&lt;/span&gt;&lt;span class="n"&gt;end&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;&lt;span class="nf"&gt;.parse&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="nf"&gt;.expect&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"Expected a number"&lt;/span&gt;&lt;span class="p"&gt;));&lt;/span&gt;
                    &lt;span class="n"&gt;start&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;end&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
                &lt;span class="p"&gt;}&lt;/span&gt;
                &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;start&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="n"&gt;s&lt;/span&gt;&lt;span class="nf"&gt;.len&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                    &lt;span class="n"&gt;parts&lt;/span&gt;&lt;span class="nf"&gt;.push&lt;/span&gt;&lt;span class="p"&gt;((&lt;/span&gt;&lt;span class="o"&gt;&amp;amp;&lt;/span&gt;&lt;span class="n"&gt;s&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;start&lt;/span&gt;&lt;span class="o"&gt;..&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;&lt;span class="nf"&gt;.parse&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="nf"&gt;.expect&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"Expected a number"&lt;/span&gt;&lt;span class="p"&gt;));&lt;/span&gt;
                &lt;span class="p"&gt;}&lt;/span&gt;
                &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;num&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;parts&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;];&lt;/span&gt;
                &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;invalid&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;true&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
                &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;x&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="o"&gt;..&lt;/span&gt;&lt;span class="n"&gt;parts&lt;/span&gt;&lt;span class="nf"&gt;.len&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;num&lt;/span&gt; &lt;span class="o"&gt;!=&lt;/span&gt; &lt;span class="n"&gt;parts&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                        &lt;span class="n"&gt;invalid&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;false&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
                    &lt;span class="p"&gt;}&lt;/span&gt;
                &lt;span class="p"&gt;}&lt;/span&gt;
                &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;parts&lt;/span&gt;&lt;span class="nf"&gt;.len&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                    &lt;span class="n"&gt;invalid&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="k"&gt;false&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
                &lt;span class="p"&gt;}&lt;/span&gt;
                &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;invalid&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                    &lt;span class="n"&gt;id_sum&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
                    &lt;span class="k"&gt;break&lt;/span&gt;
                &lt;span class="p"&gt;}&lt;/span&gt;
            &lt;span class="p"&gt;}&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="n"&gt;id_sum&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;The key insight: digit frequency gives us the upper bound for splits, but we need to try all valid split counts starting from 2.&lt;/p&gt;

&lt;h2&gt;
  
  
  Lessons Learned
&lt;/h2&gt;

&lt;p&gt;Sometimes the brute force approach needs a bit of finesse. Don't just check one split pattern; check them all within reasonable bounds.&lt;/p&gt;




&lt;p&gt;Full code available on my &lt;a href="https://github.com/Kryko7/AoC" rel="noopener noreferrer"&gt;GitHub&lt;/a&gt; ⭐&lt;/p&gt;

</description>
      <category>adventofcode</category>
      <category>rust</category>
      <category>algorithms</category>
      <category>programming</category>
    </item>
    <item>
      <title>Advent of Code 2025 - Day 1: The Combination Lock</title>
      <dc:creator>Minindu Rupasinghe</dc:creator>
      <pubDate>Sat, 06 Dec 2025 17:57:10 +0000</pubDate>
      <link>https://forem.com/kryko7/advent-of-code-2025-day-1-the-combination-lock-4e8i</link>
      <guid>https://forem.com/kryko7/advent-of-code-2025-day-1-the-combination-lock-4e8i</guid>
      <description>&lt;p&gt;&lt;a href="https://media2.dev.to/dynamic/image/width=800%2Cheight=%2Cfit=scale-down%2Cgravity=auto%2Cformat=auto/https%3A%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Farticles%2Fjtpy5rbgy4vyq2daaxha.png" class="article-body-image-wrapper"&gt;&lt;img src="https://media2.dev.to/dynamic/image/width=800%2Cheight=%2Cfit=scale-down%2Cgravity=auto%2Cformat=auto/https%3A%2F%2Fdev-to-uploads.s3.amazonaws.com%2Fuploads%2Farticles%2Fjtpy5rbgy4vyq2daaxha.png" alt=" " width="800" height="800"&gt;&lt;/a&gt;&lt;br&gt;
Welcome to my Advent of Code 2025 series! Today we're solving Day 1's puzzle, which involves a combination lock with 100 positions (0-99).&lt;/p&gt;
&lt;h2&gt;
  
  
  The Problem
&lt;/h2&gt;

&lt;p&gt;We have a dial that starts at position 50, and we need to follow a series of instructions to rotate it left (L) or right (R) by certain amounts. The goal is to count how many times the dial lands on position 0.&lt;/p&gt;
&lt;h2&gt;
  
  
  Understanding the Modulo Operation
&lt;/h2&gt;

&lt;p&gt;Before diving into the solution, let's understand the key concept: &lt;strong&gt;modulo arithmetic&lt;/strong&gt;.&lt;/p&gt;

&lt;p&gt;When we rotate a dial, we need it to "wrap around". If we're at position 99 and move right by 1, we should end up at position 0, not 100. Similarly, if we're at position 0 and move left by 1, we should end up at position 99.&lt;/p&gt;

&lt;p&gt;This is where modulo operations come in handy, but there's an important distinction in Rust between &lt;code&gt;%&lt;/code&gt; and &lt;code&gt;rem_euclid()&lt;/code&gt;.&lt;/p&gt;
&lt;h3&gt;
  
  
  The Difference Between % and rem_euclid()
&lt;/h3&gt;

&lt;p&gt;In Rust, &lt;code&gt;%&lt;/code&gt; is the &lt;strong&gt;remainder operator&lt;/strong&gt;, while &lt;code&gt;rem_euclid()&lt;/code&gt; is the &lt;strong&gt;Euclidean remainder&lt;/strong&gt;. They behave differently with negative numbers:&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Using the &lt;code&gt;%&lt;/code&gt; operator:&lt;/strong&gt;&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="nd"&gt;println!&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"{}"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;5&lt;/span&gt; &lt;span class="o"&gt;%&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;      &lt;span class="c1"&gt;// 2&lt;/span&gt;
&lt;span class="nd"&gt;println!&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"{}"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;5&lt;/span&gt; &lt;span class="o"&gt;%&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;     &lt;span class="c1"&gt;// -2 (negative!)&lt;/span&gt;
&lt;span class="nd"&gt;println!&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"{}"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="o"&gt;%&lt;/span&gt; &lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;   &lt;span class="c1"&gt;// -1 (negative!)&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;strong&gt;Using &lt;code&gt;rem_euclid()&lt;/code&gt;:&lt;/strong&gt;&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="nd"&gt;println!&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"{}"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="mi"&gt;5_i32&lt;/span&gt;&lt;span class="nf"&gt;.rem_euclid&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;));&lt;/span&gt;      &lt;span class="c1"&gt;// 2&lt;/span&gt;
&lt;span class="nd"&gt;println!&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"{}"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;5_i32&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="nf"&gt;.rem_euclid&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;));&lt;/span&gt;   &lt;span class="c1"&gt;// 1 (positive!)&lt;/span&gt;
&lt;span class="nd"&gt;println!&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"{}"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1_i32&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="nf"&gt;.rem_euclid&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="p"&gt;));&lt;/span&gt; &lt;span class="c1"&gt;// 99 (positive!)&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;For our dial problem, this difference is crucial:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;If we're at position 0 and move left by 1, we want position 99&lt;/li&gt;
&lt;li&gt;With &lt;code&gt;%&lt;/code&gt;: &lt;code&gt;(0 - 1) % 100 = -1&lt;/code&gt; ❌ (invalid position!)&lt;/li&gt;
&lt;li&gt;With &lt;code&gt;rem_euclid()&lt;/code&gt;: &lt;code&gt;(0 - 1).rem_euclid(100) = 99&lt;/code&gt; ✅ (correct!)&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;&lt;strong&gt;The key insight:&lt;/strong&gt; The &lt;code&gt;%&lt;/code&gt; operator can return negative results, which don't make sense for positions on a dial. The &lt;code&gt;rem_euclid()&lt;/code&gt; method always returns a non-negative result in the range &lt;code&gt;[0, modulus)&lt;/code&gt;, which is exactly what we need for circular wrapping.&lt;/p&gt;

&lt;h2&gt;
  
  
  Part 1: Jump Directly
&lt;/h2&gt;

&lt;p&gt;In the first part, we can jump directly to the final position after each instruction:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="k"&gt;fn&lt;/span&gt; &lt;span class="nf"&gt;compute_password1&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;instructions&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;Vec&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;char&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nb"&gt;i32&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="nb"&gt;i32&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;dial&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;i32&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;50&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;count&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;i32&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;dir&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;dist&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="n"&gt;instructions&lt;/span&gt;&lt;span class="nf"&gt;.iter&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="n"&gt;dir&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="sc"&gt;'L'&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="n"&gt;dial&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;dial&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;dist&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="nf"&gt;.rem_euclid&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt; &lt;span class="k"&gt;else&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="n"&gt;dial&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;dial&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;dist&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="nf"&gt;.rem_euclid&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;dial&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="n"&gt;count&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="n"&gt;count&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Here, we subtract for left moves and add for right moves, then use &lt;code&gt;rem_euclid(100)&lt;/code&gt; to keep the result within 0-99.&lt;/p&gt;

&lt;h2&gt;
  
  
  Part 2: Step by Step
&lt;/h2&gt;

&lt;p&gt;Part 2 requires us to check &lt;strong&gt;every single position&lt;/strong&gt; we pass through, not just the final position:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="k"&gt;fn&lt;/span&gt; &lt;span class="nf"&gt;compute_password2&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;instructions&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;Vec&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;char&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nb"&gt;i32&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="nb"&gt;i32&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;dial&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;i32&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;50&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="k"&gt;mut&lt;/span&gt; &lt;span class="n"&gt;count&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;i32&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

    &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;dir&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;dist&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="n"&gt;instructions&lt;/span&gt;&lt;span class="nf"&gt;.iter&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="n"&gt;dir&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="sc"&gt;'L'&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;_&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;..*&lt;/span&gt;&lt;span class="n"&gt;dist&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                &lt;span class="n"&gt;dial&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;dial&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="nf"&gt;.rem_euclid&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
                &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;dial&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                    &lt;span class="n"&gt;count&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
                &lt;span class="p"&gt;}&lt;/span&gt;
            &lt;span class="p"&gt;}&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt; &lt;span class="k"&gt;else&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;_&lt;/span&gt; &lt;span class="k"&gt;in&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="o"&gt;..*&lt;/span&gt;&lt;span class="n"&gt;dist&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                &lt;span class="n"&gt;dial&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;dial&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="nf"&gt;.rem_euclid&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
                &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;dial&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
                    &lt;span class="n"&gt;count&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
                &lt;span class="p"&gt;}&lt;/span&gt;
            &lt;span class="p"&gt;}&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="n"&gt;count&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;Instead of jumping directly, we move one position at a time and check if we hit 0 after each step.&lt;/p&gt;

&lt;h2&gt;
  
  
  Parsing the Input
&lt;/h2&gt;

&lt;p&gt;The input file contains instructions like &lt;code&gt;L25&lt;/code&gt;, &lt;code&gt;R30&lt;/code&gt;, etc. We parse these into tuples of direction and distance:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight rust"&gt;&lt;code&gt;&lt;span class="k"&gt;fn&lt;/span&gt; &lt;span class="nf"&gt;parsing&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;filename&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&lt;/span&gt;&lt;span class="nb"&gt;str&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;-&amp;gt;&lt;/span&gt; &lt;span class="nb"&gt;Vec&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;char&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nb"&gt;i32&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;content&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nn"&gt;fs&lt;/span&gt;&lt;span class="p"&gt;::&lt;/span&gt;&lt;span class="nf"&gt;read_to_string&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;filename&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="nf"&gt;.expect&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"Failed to read file"&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;

    &lt;span class="n"&gt;content&lt;/span&gt;
        &lt;span class="nf"&gt;.split&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="sc"&gt;'\n'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="nf"&gt;.map&lt;/span&gt;&lt;span class="p"&gt;(|&lt;/span&gt;&lt;span class="n"&gt;s&lt;/span&gt;&lt;span class="p"&gt;|&lt;/span&gt; &lt;span class="n"&gt;s&lt;/span&gt;&lt;span class="nf"&gt;.trim&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="nf"&gt;.to_string&lt;/span&gt;&lt;span class="p"&gt;())&lt;/span&gt;
        &lt;span class="nf"&gt;.map&lt;/span&gt;&lt;span class="p"&gt;(|&lt;/span&gt;&lt;span class="n"&gt;s&lt;/span&gt;&lt;span class="p"&gt;|&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;first&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;rest&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;s&lt;/span&gt;&lt;span class="nf"&gt;.split_at&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
            &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;direction&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;first&lt;/span&gt;&lt;span class="nf"&gt;.chars&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="nf"&gt;.next&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;&lt;span class="nf"&gt;.unwrap&lt;/span&gt;&lt;span class="p"&gt;();&lt;/span&gt;
            &lt;span class="k"&gt;let&lt;/span&gt; &lt;span class="n"&gt;value&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt; &lt;span class="nb"&gt;i32&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;rest&lt;/span&gt;&lt;span class="nf"&gt;.parse&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
                &lt;span class="nf"&gt;.expect&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s"&gt;"Expected a number"&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
            &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;direction&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;value&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="p"&gt;})&lt;/span&gt;
        &lt;span class="nf"&gt;.collect&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;h2&gt;
  
  
  Key Takeaways
&lt;/h2&gt;

&lt;ul&gt;
&lt;li&gt;
&lt;strong&gt;Modulo arithmetic&lt;/strong&gt; is essential for circular/wrapping problems&lt;/li&gt;
&lt;li&gt;Use &lt;code&gt;rem_euclid()&lt;/code&gt; in Rust, not &lt;code&gt;%&lt;/code&gt;, when you need non-negative results for circular wrapping&lt;/li&gt;
&lt;li&gt;The &lt;code&gt;%&lt;/code&gt; operator can return negative numbers, which break circular logic&lt;/li&gt;
&lt;li&gt;Part 1 vs Part 2 shows the difference between checking final states vs intermediate states&lt;/li&gt;
&lt;li&gt;Always consider whether you need to track every step or just the destination&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;Happy coding, and see you tomorrow for Day 2! 🎄&lt;/p&gt;




&lt;p&gt;&lt;em&gt;You can find the complete code on my &lt;a href="https://github.com/Kryko7/AoC" rel="noopener noreferrer"&gt;GitHub repository&lt;/a&gt;&lt;/em&gt;&lt;/p&gt;

</description>
      <category>adventofcode</category>
      <category>rust</category>
      <category>programming</category>
      <category>algorithms</category>
    </item>
    <item>
      <title>Building a URL Shortener with Go and Redis</title>
      <dc:creator>Minindu Rupasinghe</dc:creator>
      <pubDate>Sat, 08 Nov 2025 13:09:01 +0000</pubDate>
      <link>https://forem.com/kryko7/building-a-production-ready-url-shortener-with-go-and-redis-51a1</link>
      <guid>https://forem.com/kryko7/building-a-production-ready-url-shortener-with-go-and-redis-51a1</guid>
      <description>&lt;h1&gt;
  
  
  Building a URL Shortener with Go and Redis
&lt;/h1&gt;

&lt;p&gt;Ever wondered how services like bit.ly or TinyURL work? I recently built my own URL shortener as part of the &lt;a href="https://codingchallenges.fyi/challenges/challenge-url-shortener" rel="noopener noreferrer"&gt;Coding Challenges&lt;/a&gt; series, and I'm excited to share what I learned!&lt;/p&gt;

&lt;h2&gt;
  
  
  🎯 The Challenge
&lt;/h2&gt;

&lt;p&gt;Build a service that:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Takes long URLs and generates short, memorable codes&lt;/li&gt;
&lt;li&gt;Redirects users from short URLs to original destinations&lt;/li&gt;
&lt;li&gt;Handles millions of URLs efficiently&lt;/li&gt;
&lt;li&gt;Deals with hash collisions gracefully&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;&lt;strong&gt;My solution:&lt;/strong&gt; A Go-based service with Redis for blazing-fast lookups, all containerized with Docker.&lt;/p&gt;

&lt;p&gt;&lt;a href="https://github.com/Kryko7/URLShortner" rel="noopener noreferrer"&gt;&lt;strong&gt;📦 Full source code on GitHub&lt;/strong&gt;&lt;/a&gt;&lt;/p&gt;




&lt;h2&gt;
  
  
  🏗️ Architecture Overview
&lt;/h2&gt;

&lt;p&gt;The system has three main components:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight plaintext"&gt;&lt;code&gt;User Request → Go API Server → Redis Database
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;strong&gt;Why Go?&lt;/strong&gt;&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Fast compilation and execution&lt;/li&gt;
&lt;li&gt;Built-in concurrency&lt;/li&gt;
&lt;li&gt;Excellent standard library for HTTP&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;&lt;strong&gt;Why Redis?&lt;/strong&gt;&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;In-memory storage = microsecond lookups&lt;/li&gt;
&lt;li&gt;Simple key-value model perfect for this use case&lt;/li&gt;
&lt;li&gt;Persistence options for data durability&lt;/li&gt;
&lt;/ul&gt;




&lt;h2&gt;
  
  
  🔑 The Core: Hash Generation
&lt;/h2&gt;

&lt;p&gt;The heart of any URL shortener is converting long URLs into short codes. Here's my approach:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight go"&gt;&lt;code&gt;&lt;span class="k"&gt;func&lt;/span&gt; &lt;span class="n"&gt;ShortHash&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;url&lt;/span&gt; &lt;span class="kt"&gt;string&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="kt"&gt;string&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="n"&gt;hash&lt;/span&gt; &lt;span class="o"&gt;:=&lt;/span&gt; &lt;span class="n"&gt;xxhash&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Sum64String&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;url&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;EncodeBase62&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;hash&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;

&lt;span class="k"&gt;func&lt;/span&gt; &lt;span class="n"&gt;EncodeBase62&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;num&lt;/span&gt; &lt;span class="kt"&gt;uint64&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="kt"&gt;string&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="k"&gt;const&lt;/span&gt; &lt;span class="n"&gt;base62Chars&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="s"&gt;"0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz"&lt;/span&gt;

    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;num&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="m"&gt;0&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="s"&gt;"0"&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;

    &lt;span class="n"&gt;encoded&lt;/span&gt; &lt;span class="o"&gt;:=&lt;/span&gt; &lt;span class="s"&gt;""&lt;/span&gt;
    &lt;span class="n"&gt;base&lt;/span&gt; &lt;span class="o"&gt;:=&lt;/span&gt; &lt;span class="kt"&gt;uint64&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;base62Chars&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;

    &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;num&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="m"&gt;0&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="n"&gt;remainder&lt;/span&gt; &lt;span class="o"&gt;:=&lt;/span&gt; &lt;span class="n"&gt;num&lt;/span&gt; &lt;span class="o"&gt;%&lt;/span&gt; &lt;span class="n"&gt;base&lt;/span&gt;
        &lt;span class="n"&gt;encoded&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="kt"&gt;string&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;base62Chars&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;remainder&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;encoded&lt;/span&gt;
        &lt;span class="n"&gt;num&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;num&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="n"&gt;base&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;

    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;encoded&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;strong&gt;Why xxHash?&lt;/strong&gt;&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Extremely fast (GB/s throughput)&lt;/li&gt;
&lt;li&gt;Good distribution (fewer collisions)&lt;/li&gt;
&lt;li&gt;Non-cryptographic (we don't need security here)&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;&lt;strong&gt;Why Base62?&lt;/strong&gt;&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Uses &lt;code&gt;0-9&lt;/code&gt;, &lt;code&gt;A-Z&lt;/code&gt;, &lt;code&gt;a-z&lt;/code&gt; (URL-safe)&lt;/li&gt;
&lt;li&gt;Shorter than Base16 or Base10&lt;/li&gt;
&lt;li&gt;More readable than Base64&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;Result: &lt;code&gt;https://example.com/page&lt;/code&gt; → &lt;code&gt;2Hs4pQx7&lt;/code&gt; (8 characters)&lt;/p&gt;




&lt;h2&gt;
  
  
  💥 Handling Collisions
&lt;/h2&gt;

&lt;p&gt;Hash collisions are inevitable. Two different URLs might generate the same short code. Here's how I handle it:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight go"&gt;&lt;code&gt;&lt;span class="k"&gt;func&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;a&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="n"&gt;API&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="n"&gt;ShortenHandler&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;w&lt;/span&gt; &lt;span class="n"&gt;http&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ResponseWriter&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;r&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="n"&gt;http&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Request&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="n"&gt;normalized&lt;/span&gt; &lt;span class="o"&gt;:=&lt;/span&gt; &lt;span class="n"&gt;Normalize&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;payload&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;URL&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;hash&lt;/span&gt; &lt;span class="o"&gt;:=&lt;/span&gt; &lt;span class="n"&gt;ShortHash&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;normalized&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

    &lt;span class="n"&gt;finalHash&lt;/span&gt; &lt;span class="o"&gt;:=&lt;/span&gt; &lt;span class="n"&gt;hash&lt;/span&gt;
    &lt;span class="n"&gt;maxRetries&lt;/span&gt; &lt;span class="o"&gt;:=&lt;/span&gt; &lt;span class="m"&gt;10&lt;/span&gt;

    &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;attempts&lt;/span&gt; &lt;span class="o"&gt;:=&lt;/span&gt; &lt;span class="m"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="n"&gt;attempts&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="n"&gt;maxRetries&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="n"&gt;attempts&lt;/span&gt;&lt;span class="o"&gt;++&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="n"&gt;existing&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;err&lt;/span&gt; &lt;span class="o"&gt;:=&lt;/span&gt; &lt;span class="n"&gt;a&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Redis&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Get&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;ctx&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;finalHash&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Result&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

        &lt;span class="c"&gt;// Key doesn't exist - we can use it!&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;err&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="n"&gt;redis&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Nil&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="k"&gt;break&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;

        &lt;span class="c"&gt;// Key exists with same URL - return existing&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;existing&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="n"&gt;normalized&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
            &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;existingShortURL&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;finalHash&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;normalized&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="p"&gt;}&lt;/span&gt;

        &lt;span class="c"&gt;// Collision! Add random suffix&lt;/span&gt;
        &lt;span class="n"&gt;finalHash&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;hash&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;generateRandomSuffix&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;attempts&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="m"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;

    &lt;span class="c"&gt;// Store in Redis&lt;/span&gt;
    &lt;span class="n"&gt;a&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Redis&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Set&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;ctx&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;finalHash&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;normalized&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="m"&gt;0&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;strong&gt;Strategy:&lt;/strong&gt;&lt;/p&gt;

&lt;ol&gt;
&lt;li&gt;Check if hash exists&lt;/li&gt;
&lt;li&gt;If it's the same URL, return existing short code&lt;/li&gt;
&lt;li&gt;If different URL (collision), append random suffix&lt;/li&gt;
&lt;li&gt;Retry up to 10 times&lt;/li&gt;
&lt;li&gt;Fail gracefully if all retries exhausted&lt;/li&gt;
&lt;/ol&gt;




&lt;h2&gt;
  
  
  🔄 URL Normalization
&lt;/h2&gt;

&lt;p&gt;To prevent the same URL from getting multiple short codes, I normalize URLs:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight go"&gt;&lt;code&gt;&lt;span class="k"&gt;func&lt;/span&gt; &lt;span class="n"&gt;Normalize&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;raw&lt;/span&gt; &lt;span class="kt"&gt;string&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="kt"&gt;string&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
    &lt;span class="n"&gt;u&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;err&lt;/span&gt; &lt;span class="o"&gt;:=&lt;/span&gt; &lt;span class="n"&gt;url&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Parse&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;raw&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;err&lt;/span&gt; &lt;span class="o"&gt;!=&lt;/span&gt; &lt;span class="no"&gt;nil&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;raw&lt;/span&gt;
    &lt;span class="p"&gt;}&lt;/span&gt;
    &lt;span class="n"&gt;u&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Host&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;strings&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ToLower&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;u&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;Host&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;u&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;String&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
&lt;span class="p"&gt;}&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;This ensures:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;
&lt;code&gt;EXAMPLE.COM&lt;/code&gt; → &lt;code&gt;example.com&lt;/code&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;code&gt;Example.com&lt;/code&gt; → &lt;code&gt;example.com&lt;/code&gt;
&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;All variations of the same domain get the same short code!&lt;/p&gt;




&lt;h2&gt;
  
  
  🐳 Docker Setup
&lt;/h2&gt;

&lt;p&gt;The entire stack runs in Docker with a single command:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight yaml"&gt;&lt;code&gt;&lt;span class="c1"&gt;# docker-compose.yml&lt;/span&gt;
&lt;span class="na"&gt;version&lt;/span&gt;&lt;span class="pi"&gt;:&lt;/span&gt; &lt;span class="s1"&gt;'&lt;/span&gt;&lt;span class="s"&gt;3.8'&lt;/span&gt;

&lt;span class="na"&gt;services&lt;/span&gt;&lt;span class="pi"&gt;:&lt;/span&gt;
  &lt;span class="na"&gt;redis&lt;/span&gt;&lt;span class="pi"&gt;:&lt;/span&gt;
    &lt;span class="na"&gt;image&lt;/span&gt;&lt;span class="pi"&gt;:&lt;/span&gt; &lt;span class="s"&gt;redis:7-alpine&lt;/span&gt;
    &lt;span class="na"&gt;volumes&lt;/span&gt;&lt;span class="pi"&gt;:&lt;/span&gt;
      &lt;span class="pi"&gt;-&lt;/span&gt; &lt;span class="s"&gt;redis_data:/data&lt;/span&gt;
    &lt;span class="na"&gt;healthcheck&lt;/span&gt;&lt;span class="pi"&gt;:&lt;/span&gt;
      &lt;span class="na"&gt;test&lt;/span&gt;&lt;span class="pi"&gt;:&lt;/span&gt; &lt;span class="pi"&gt;[&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="s"&gt;CMD"&lt;/span&gt;&lt;span class="pi"&gt;,&lt;/span&gt; &lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="s"&gt;redis-cli"&lt;/span&gt;&lt;span class="pi"&gt;,&lt;/span&gt; &lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="s"&gt;ping"&lt;/span&gt;&lt;span class="pi"&gt;]&lt;/span&gt;

  &lt;span class="na"&gt;app&lt;/span&gt;&lt;span class="pi"&gt;:&lt;/span&gt;
    &lt;span class="na"&gt;build&lt;/span&gt;&lt;span class="pi"&gt;:&lt;/span&gt; &lt;span class="s"&gt;.&lt;/span&gt;
    &lt;span class="na"&gt;ports&lt;/span&gt;&lt;span class="pi"&gt;:&lt;/span&gt;
      &lt;span class="pi"&gt;-&lt;/span&gt; &lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="s"&gt;8080:8080"&lt;/span&gt;
    &lt;span class="na"&gt;depends_on&lt;/span&gt;&lt;span class="pi"&gt;:&lt;/span&gt;
      &lt;span class="na"&gt;redis&lt;/span&gt;&lt;span class="pi"&gt;:&lt;/span&gt;
        &lt;span class="na"&gt;condition&lt;/span&gt;&lt;span class="pi"&gt;:&lt;/span&gt; &lt;span class="s"&gt;service_healthy&lt;/span&gt;
    &lt;span class="na"&gt;environment&lt;/span&gt;&lt;span class="pi"&gt;:&lt;/span&gt;
      &lt;span class="pi"&gt;-&lt;/span&gt; &lt;span class="s"&gt;REDIS_HOST=redis&lt;/span&gt;
      &lt;span class="pi"&gt;-&lt;/span&gt; &lt;span class="s"&gt;SHORT_URL_BASE=http://localhost:8080&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;&lt;strong&gt;Key features:&lt;/strong&gt;&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Health checks ensure Redis is ready before app starts&lt;/li&gt;
&lt;li&gt;Persistent volumes keep data safe&lt;/li&gt;
&lt;li&gt;Environment variables for easy configuration&lt;/li&gt;
&lt;/ul&gt;




&lt;h2&gt;
  
  
  📊 Performance Considerations
&lt;/h2&gt;

&lt;p&gt;&lt;strong&gt;Current performance:&lt;/strong&gt;&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Hash generation: ~0.1ms&lt;/li&gt;
&lt;li&gt;Redis lookup: &amp;lt;1ms&lt;/li&gt;
&lt;li&gt;Total response time: ~2ms&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;&lt;strong&gt;Scalability improvements I'd add:&lt;/strong&gt;&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;Rate limiting to prevent abuse&lt;/li&gt;
&lt;li&gt;Analytics tracking (click counts, referrers)&lt;/li&gt;
&lt;li&gt;Custom short codes for vanity URLs&lt;/li&gt;
&lt;li&gt;Expiration times for temporary links&lt;/li&gt;
&lt;li&gt;Caching layer for hot URLs&lt;/li&gt;
&lt;/ul&gt;




&lt;h2&gt;
  
  
  🧪 Testing It Out
&lt;/h2&gt;



&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight shell"&gt;&lt;code&gt;&lt;span class="c"&gt;# Start the service&lt;/span&gt;
docker-compose up &lt;span class="nt"&gt;--build&lt;/span&gt;

&lt;span class="c"&gt;# Shorten a URL&lt;/span&gt;
curl &lt;span class="nt"&gt;-X&lt;/span&gt; POST http://localhost:8080/api/v1/shorten &lt;span class="se"&gt;\&lt;/span&gt;
  &lt;span class="nt"&gt;-H&lt;/span&gt; &lt;span class="s2"&gt;"Content-Type: application/json"&lt;/span&gt; &lt;span class="se"&gt;\&lt;/span&gt;
  &lt;span class="nt"&gt;-d&lt;/span&gt; &lt;span class="s1"&gt;'{"url":"https://github.com/Kryko7/URLShortner"}'&lt;/span&gt;

&lt;span class="c"&gt;# Response&lt;/span&gt;
&lt;span class="o"&gt;{&lt;/span&gt;
  &lt;span class="s2"&gt;"key"&lt;/span&gt;: &lt;span class="s2"&gt;"xY9pQ2"&lt;/span&gt;,
  &lt;span class="s2"&gt;"long_url"&lt;/span&gt;: &lt;span class="s2"&gt;"https://github.com/Kryko7/URLShortner"&lt;/span&gt;,
  &lt;span class="s2"&gt;"short_url"&lt;/span&gt;: &lt;span class="s2"&gt;"http://localhost:8080/xY9pQ2"&lt;/span&gt;
&lt;span class="o"&gt;}&lt;/span&gt;

&lt;span class="c"&gt;# Use it&lt;/span&gt;
curl &lt;span class="nt"&gt;-L&lt;/span&gt; http://localhost:8080/xY9pQ2
&lt;span class="c"&gt;# Redirects to GitHub!&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;






&lt;h2&gt;
  
  
  🎓 What I Learned
&lt;/h2&gt;

&lt;ol&gt;
&lt;li&gt;
&lt;strong&gt;xxHash is incredibly fast&lt;/strong&gt; - Perfect for non-cryptographic hashing&lt;/li&gt;
&lt;li&gt;
&lt;strong&gt;Redis is simple but powerful&lt;/strong&gt; - Key-value stores are underrated&lt;/li&gt;
&lt;li&gt;
&lt;strong&gt;Collision handling matters&lt;/strong&gt; - Even with good hash functions&lt;/li&gt;
&lt;li&gt;
&lt;strong&gt;Docker makes deployment trivial&lt;/strong&gt; - One command to run everything&lt;/li&gt;
&lt;li&gt;
&lt;strong&gt;Context timeouts prevent hangs&lt;/strong&gt; - Always set timeouts for external calls&lt;/li&gt;
&lt;/ol&gt;




&lt;h2&gt;
  
  
  🚀 Try It Yourself
&lt;/h2&gt;

&lt;p&gt;The full project is open source and ready to run:&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;GitHub:&lt;/strong&gt; &lt;a href="https://github.com/Kryko7/URLShortner" rel="noopener noreferrer"&gt;https://github.com/Kryko7/URLShortner&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Challenge:&lt;/strong&gt; &lt;a href="https://codingchallenges.fyi/challenges/challenge-url-shortener" rel="noopener noreferrer"&gt;Coding Challenges - URL Shortener&lt;/a&gt;&lt;/p&gt;

&lt;p&gt;Clone it, run &lt;code&gt;docker-compose up&lt;/code&gt;, and you'll have a working URL shortener in 30 seconds!&lt;/p&gt;




&lt;h2&gt;
  
  
  🔮 Future Improvements
&lt;/h2&gt;

&lt;p&gt;Some ideas I'm considering:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;
&lt;strong&gt;Analytics dashboard&lt;/strong&gt; - Track clicks, geographic data&lt;/li&gt;
&lt;li&gt;
&lt;strong&gt;Custom aliases&lt;/strong&gt; - Let users choose their short codes&lt;/li&gt;
&lt;li&gt;
&lt;strong&gt;QR code generation&lt;/strong&gt; - Generate QR codes for short URLs&lt;/li&gt;
&lt;li&gt;
&lt;strong&gt;API authentication&lt;/strong&gt; - Protect the service from abuse&lt;/li&gt;
&lt;li&gt;
&lt;strong&gt;Link expiration&lt;/strong&gt; - Auto-delete old URLs&lt;/li&gt;
&lt;li&gt;
&lt;strong&gt;Batch API&lt;/strong&gt; - Shorten multiple URLs at once&lt;/li&gt;
&lt;/ul&gt;




&lt;h2&gt;
  
  
  💬 What Would You Add?
&lt;/h2&gt;

&lt;p&gt;Have ideas for improvements? Found a bug? Want to discuss the architecture?&lt;/p&gt;

&lt;p&gt;Drop a comment below or open an issue on GitHub! I'd love to hear your thoughts.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Happy coding!&lt;/strong&gt; 🎉&lt;/p&gt;




&lt;p&gt;&lt;em&gt;If you found this helpful, give the &lt;a href="https://github.com/Kryko7/URLShortner" rel="noopener noreferrer"&gt;GitHub repo&lt;/a&gt; a ⭐ and follow me for more coding challenges!&lt;/em&gt;&lt;/p&gt;

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      <category>go</category>
      <category>redis</category>
      <category>docker</category>
      <category>tutorial</category>
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