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      <title>Wordle Solvers Are Entropy Machines — Here's Why</title>
      <dc:creator>Ads Mastery Pro</dc:creator>
      <pubDate>Wed, 07 Oct 2026 08:08:32 +0000</pubDate>
      <link>https://dev.to/adsmasterypro/wordle-solvers-are-entropy-machines-heres-why-1o20</link>
      <guid>https://dev.to/adsmasterypro/wordle-solvers-are-entropy-machines-heres-why-1o20</guid>
      <description>&lt;p&gt;&lt;strong&gt;TL;DR:&lt;/strong&gt; A Wordle solver treats every guess as a math problem: it ranks candidate words by how much information they'd reveal (entropy), then filters the word list using green/yellow/grey feedback. Understand that loop and you'll play better even without a solver.&lt;/p&gt;




&lt;p&gt;The difference between a casual Wordle player and a strong one isn't vocabulary. It's the opening guess.&lt;/p&gt;

&lt;p&gt;Most people open with a word they like. A Wordle solver opens with the word that &lt;em&gt;eliminates the most wrong answers no matter what happens&lt;/em&gt;. That single idea — scoring guesses by information instead of hope — is the entire engine. Let's break it down.&lt;/p&gt;

&lt;h2&gt;
  
  
  A Wordle solver starts with 2,300 suspects
&lt;/h2&gt;

&lt;p&gt;Standard Wordle has roughly 2,300 possible answers. Before the first guess, a solver holds all of them. Every guess is a question asked to that list, and the color feedback is the answer:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;🟩 &lt;strong&gt;Green&lt;/strong&gt; — right letter, right spot. Lock it in.&lt;/li&gt;
&lt;li&gt;🟨 &lt;strong&gt;Yellow&lt;/strong&gt; — right letter, wrong spot. It lives &lt;em&gt;somewhere else&lt;/em&gt;.&lt;/li&gt;
&lt;li&gt;⬜ &lt;strong&gt;Grey&lt;/strong&gt; — not in the word at all. Throw out every word containing it.&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;Three sharp guesses can collapse 2,300 candidates to a handful. The trick is picking guesses that collapse the list &lt;em&gt;fastest&lt;/em&gt;.&lt;/p&gt;

&lt;h2&gt;
  
  
  Entropy: ranking guesses by information
&lt;/h2&gt;

&lt;p&gt;Here's the core concept. For any candidate guess, imagine every possible feedback pattern it could produce (there are 243 for a 5-letter word). Some patterns split the remaining words evenly; others barely narrow anything.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;Entropy&lt;/strong&gt; measures the average information a guess delivers. A solver computes it for candidate openers and picks the max:&lt;/p&gt;

&lt;ul&gt;
&lt;li&gt;
&lt;code&gt;SOARE&lt;/code&gt; scores high — S, O, A, R, E are among the most frequent letters, so the feedback partitions the list efficiently.&lt;/li&gt;
&lt;li&gt;
&lt;code&gt;ADIEU&lt;/code&gt; tests four vowels at once, instantly revealing the vowel structure.&lt;/li&gt;
&lt;li&gt;
&lt;code&gt;XYLYL&lt;/code&gt; would score terribly — rare letters teach you almost nothing.&lt;/li&gt;
&lt;/ul&gt;

&lt;p&gt;You don't need the formula memorized. The intuition is what matters: &lt;strong&gt;the best guess is the one that teaches you the most, not the one most likely to be right.&lt;/strong&gt;&lt;/p&gt;

&lt;h2&gt;
  
  
  The filter loop (with code)
&lt;/h2&gt;

&lt;p&gt;After each guess, the solver filters. Here's the logic in JavaScript — the same shape most open-source solvers use:&lt;br&gt;
&lt;/p&gt;

&lt;div class="highlight js-code-highlight"&gt;
&lt;pre class="highlight javascript"&gt;&lt;code&gt;&lt;span class="kd"&gt;function&lt;/span&gt; &lt;span class="nf"&gt;filterWords&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;words&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nx"&gt;guess&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="nx"&gt;feedback&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;
  &lt;span class="c1"&gt;// feedback: array like ['grey','yellow','green','grey','yellow']&lt;/span&gt;
  &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="nx"&gt;words&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;filter&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;word&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;for &lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kd"&gt;let&lt;/span&gt; &lt;span class="nx"&gt;i&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="nx"&gt;i&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="mi"&gt;5&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt; &lt;span class="nx"&gt;i&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="kd"&gt;const&lt;/span&gt; &lt;span class="nx"&gt;g&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nx"&gt;guess&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="nx"&gt;i&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt; &lt;span class="nx"&gt;f&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nx"&gt;feedback&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="nx"&gt;i&lt;/span&gt;&lt;span class="p"&gt;];&lt;/span&gt;
      &lt;span class="k"&gt;if &lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;f&lt;/span&gt; &lt;span class="o"&gt;===&lt;/span&gt; &lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;green&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="nx"&gt;word&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="nx"&gt;i&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;!==&lt;/span&gt; &lt;span class="nx"&gt;g&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;false&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
      &lt;span class="k"&gt;if &lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;f&lt;/span&gt; &lt;span class="o"&gt;===&lt;/span&gt; &lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;yellow&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;word&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="nx"&gt;i&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;===&lt;/span&gt; &lt;span class="nx"&gt;g&lt;/span&gt; &lt;span class="o"&gt;||&lt;/span&gt; &lt;span class="o"&gt;!&lt;/span&gt;&lt;span class="nx"&gt;word&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;includes&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;g&lt;/span&gt;&lt;span class="p"&gt;)))&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;false&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
      &lt;span class="k"&gt;if &lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;f&lt;/span&gt; &lt;span class="o"&gt;===&lt;/span&gt; &lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;grey&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt; &lt;span class="o"&gt;&amp;amp;&amp;amp;&lt;/span&gt; &lt;span class="nx"&gt;word&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;includes&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;g&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&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;return&lt;/span&gt; &lt;span class="kc"&gt;true&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;// Example: guess SOARE, feedback tells us S is green, O is yellow&lt;/span&gt;
&lt;span class="kd"&gt;const&lt;/span&gt; &lt;span class="nx"&gt;remaining&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nf"&gt;filterWords&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;wordList&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;soare&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
  &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;green&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;yellow&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;grey&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;grey&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="s1"&gt;grey&lt;/span&gt;&lt;span class="dl"&gt;'&lt;/span&gt;&lt;span class="p"&gt;]);&lt;/span&gt;
&lt;span class="nx"&gt;console&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nf"&gt;log&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nx"&gt;remaining&lt;/span&gt;&lt;span class="p"&gt;.&lt;/span&gt;&lt;span class="nx"&gt;length&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt; &lt;span class="c1"&gt;// a few dozen, down from ~2300&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;

&lt;/div&gt;



&lt;p&gt;One guess, one filter pass, and thousands of words vanish. That's the loop: &lt;strong&gt;rank → guess → filter → repeat&lt;/strong&gt; until one word remains.&lt;/p&gt;

&lt;h2&gt;
  
  
  The duplicate-letter trap
&lt;/h2&gt;

&lt;p&gt;The edge case that breaks naive solvers: guess &lt;code&gt;SPEED&lt;/code&gt;, get one green E. Is there a second E hiding? A simple "grey means absent" rule fails here — the word could be &lt;code&gt;SLEEP&lt;/code&gt; or &lt;code&gt;GREED&lt;/code&gt;.&lt;/p&gt;

&lt;p&gt;Robust solvers track &lt;strong&gt;letter counts&lt;/strong&gt;, not just presence: if E is green once and grey once, the answer contains &lt;em&gt;exactly one&lt;/em&gt; E. Getting this right is the difference between a toy solver and a reliable one — and it's the same logic that trips up human players on words like &lt;code&gt;CIVIC&lt;/code&gt; or &lt;code&gt;ESPOUSE&lt;/code&gt;.&lt;/p&gt;

&lt;h2&gt;
  
  
  Watch a solver think in real time
&lt;/h2&gt;

&lt;p&gt;Reading about the filter loop is one thing; watching 2,300 words collapse live is another. This free &lt;a href="https://vowelnvault.com/wordle-solver/" rel="noopener noreferrer"&gt;wordle solver&lt;/a&gt; lets you enter a guess with its color feedback and see the remaining candidates shrink after every round. Try your usual opener, then compare the solver's suggested next guess against your instinct — the gap between the two is exactly the entropy lesson above.&lt;br&gt;
It's part of &lt;a href="https://vowelnvault.com/" rel="noopener noreferrer"&gt;VowelnVault&lt;/a&gt;, a free unlimited Wordle game with daily puzzles and hints.&lt;/p&gt;

&lt;h2&gt;
  
  
  The takeaway
&lt;/h2&gt;

&lt;p&gt;A Wordle solver isn't cheating — it's applied information theory. And the real prize isn't the tool, it's the mindset: once you start choosing openers for &lt;em&gt;information&lt;/em&gt; instead of luck, your unassisted game jumps too.&lt;/p&gt;

&lt;p&gt;&lt;strong&gt;What's your opener, and why?&lt;/strong&gt; Do you play the entropy game with something like &lt;code&gt;SOARE&lt;/code&gt;, go vowel-heavy with &lt;code&gt;ADIEU&lt;/code&gt;, or trust a lucky word? Drop it in the comments — I'm curious which philosophy wins out. 🟩&lt;/p&gt;

&lt;p&gt;For more &lt;a href="https://linktr.ee/adsmasterypro" rel="noopener noreferrer"&gt;word-game resources&lt;/a&gt;, explore this collection of useful links.&lt;/p&gt;

</description>
      <category>algorithms</category>
      <category>javascript</category>
      <category>beginners</category>
      <category>tutorial</category>
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