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docs(docs): add longest‑substring problem page and sliding‑window reference with SVG illustrations

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Prad Nukala committed 2026-08-25 13:18:32 -04:00
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apps/docs/public/sliding-window-flexible.svg
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<svg viewBox="0 0 800 450" xmlns="http://www.w3.org/2000/svg">
<!-- Background (REQUIRED) -->
<rect width="800" height="450" fill="#f8f9fa" rx="10"/>
<!-- Title and Subtitle -->
<text x="400" y="45" font-family="Arial, sans-serif" font-size="26" font-weight="bold" fill="#2c3e50" text-anchor="middle">Sliding Window: Flexible Size</text>
<text x="400" y="75" font-family="Arial, sans-serif" font-size="16" fill="#7f8c8d" text-anchor="middle">Window expands until invalid, then shrinks until valid again.</text>
<!-- Step 1: Invalid state -->
<g transform="translate(150, 130)">
<text x="0" y="-20" font-family="Arial, sans-serif" font-size="18" font-weight="bold" fill="#2c3e50">1. Expansion breaks invariant</text>
<!-- Array -->
<g transform="translate(0, 20)">
<rect x="0" y="0" width="60" height="50" fill="#fee2e2" stroke="#ef4444" stroke-width="3" rx="3"/>
<text x="30" y="32" font-family="monospace" font-size="22" text-anchor="middle" fill="#2c3e50">a</text>
<polygon points="30,60 25,70 35,70" fill="#27ae60"/>
<text x="30" y="85" font-family="Arial, sans-serif" font-size="14" font-weight="bold" fill="#27ae60" text-anchor="middle">L</text>
<rect x="70" y="0" width="60" height="50" fill="#fee2e2" stroke="#ef4444" stroke-width="3" rx="3"/>
<text x="100" y="32" font-family="monospace" font-size="22" text-anchor="middle" fill="#2c3e50">b</text>
<rect x="140" y="0" width="60" height="50" fill="#fee2e2" stroke="#ef4444" stroke-width="3" rx="3"/>
<text x="170" y="32" font-family="monospace" font-size="22" text-anchor="middle" fill="#2c3e50">c</text>
<rect x="210" y="0" width="60" height="50" fill="#fee2e2" stroke="#ef4444" stroke-width="4" rx="3"/>
<text x="240" y="32" font-family="monospace" font-size="22" text-anchor="middle" fill="#2c3e50">a</text>
<polygon points="240,60 235,70 245,70" fill="#3498db"/>
<text x="240" y="85" font-family="Arial, sans-serif" font-size="14" font-weight="bold" fill="#3498db" text-anchor="middle">R</text>
<text x="300" y="32" font-family="Arial, sans-serif" font-size="14" fill="#ef4444" font-weight="bold">Duplicate 'a'!</text>
</g>
</g>
<!-- Transition -->
<g transform="translate(400, 260)">
<path d="M 0,0 L 0,30" stroke="#dee2e6" stroke-width="2" fill="none"/>
<text x="10" y="20" font-family="Arial, sans-serif" font-size="14" font-style="italic" fill="#7f8c8d">Shrink from left</text>
</g>
<!-- Step 2: Valid again -->
<g transform="translate(150, 340)">
<text x="0" y="-20" font-family="Arial, sans-serif" font-size="18" font-weight="bold" fill="#2c3e50">2. Invariant restored</text>
<!-- Array -->
<g transform="translate(0, 20)">
<rect x="0" y="0" width="60" height="50" fill="#e5e7eb" stroke="#94a3b8" stroke-width="2" rx="3"/>
<text x="30" y="32" font-family="monospace" font-size="22" text-anchor="middle" fill="#94a3b8">a</text>
<rect x="70" y="0" width="60" height="50" fill="#d1fae5" stroke="#10b981" stroke-width="3" rx="3"/>
<text x="100" y="32" font-family="monospace" font-size="22" text-anchor="middle" fill="#2c3e50">b</text>
<polygon points="100,60 95,70 105,70" fill="#27ae60"/>
<text x="100" y="85" font-family="Arial, sans-serif" font-size="14" font-weight="bold" fill="#27ae60" text-anchor="middle">L</text>
<rect x="140" y="0" width="60" height="50" fill="#d1fae5" stroke="#10b981" stroke-width="3" rx="3"/>
<text x="170" y="32" font-family="monospace" font-size="22" text-anchor="middle" fill="#2c3e50">c</text>
<rect x="210" y="0" width="60" height="50" fill="#d1fae5" stroke="#10b981" stroke-width="3" rx="3"/>
<text x="240" y="32" font-family="monospace" font-size="22" text-anchor="middle" fill="#2c3e50">a</text>
<polygon points="240,60 235,70 245,70" fill="#3498db"/>
<text x="240" y="85" font-family="Arial, sans-serif" font-size="14" font-weight="bold" fill="#3498db" text-anchor="middle">R</text>
<text x="300" y="32" font-family="Arial, sans-serif" font-size="14" fill="#10b981" font-weight="bold">Valid again!</text>
</g>
</g>
</svg>
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