build: auto-generate public directory

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public/index.html

@@ -500,8 +500,8 @@ <h1 class="site-title">
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+<li class="file-item" data-category="algorithm"><a class="file-link" href="Algorithm/Other/leetcode/59.%20Spiral%20Matrix%20II/Claude/README.html"><span class="card-header"><span class="card-icon">🧩</span><span class="card-title">Spiral Matrix Algorithm Analysis</span></span><span class="file-path">Algorithm/Other/leetcode/59. Spiral Matrix II/Claude/README.html</span></a></li>
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@@ -675,8 +675,8 @@ <h1 class="site-title">
 <li class="file-item" data-category="algorithm"><a class="file-link" href="Algorithm/BinarySearch/leetcode/81.%20Search%20in%20Rotated%20Sorted%20Array%20II/Claude/README.html"><span class="card-header"><span class="card-icon">🧩</span><span class="card-title">Search in Rotated Sorted Array II - Technical Analysis</span></span><span class="file-path">Algorithm/BinarySearch/leetcode/81. Search in Rotated Sorted Array II/Claude/README.html</span></a></li>
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+<li class="file-item" data-category="algorithm"><a class="file-link" href="Algorithm/Other/leetcode/59.%20Spiral%20Matrix%20II/Claude/README.html"><span class="card-header"><span class="card-icon">🧩</span><span class="card-title">Spiral Matrix Algorithm Analysis</span></span><span class="file-path">Algorithm/Other/leetcode/59. Spiral Matrix II/Claude/README.html</span></a></li>
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 <li class="file-item" data-category="algorithm"><a class="file-link" href="Algorithm/BinarySearch/leetcode/34.%20Find%20First%20and%20Last%20Position%20of%20Element%20in%20Sorted%20Array/READEME-typescript.html"><span class="card-header"><span class="card-icon">🧩</span><span class="card-title">TypeScript Binary Search Performance Analysis</span></span><span class="file-path">Algorithm/BinarySearch/leetcode/34. Find First and Last Position of Element in Sorted Array/READEME-typescript.html</span></a></li>
@@ -819,7 +819,7 @@ <h1 class="site-title">
 
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