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<body>
<div class="container">
<div class="mb-8">
<h1 class="title">DAT Creativity Game Progress</h1>
<p class="subtitle">An interactive visualization of my journey through the Divergent Association Task (DAT) creativity game, showcasing the hillclimbing optimization technique.</p>
</div>
<div class="space-y-8">
<!-- Performance Statistics -->
<div class="card">
<div class="card-header">
<h2 class="section-title">
<svg class="icon" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<path d="M3 3v16a2 2 0 0 0 2 2h16"/>
<path d="M18 17V9"/>
<path d="M13 17V5"/>
<path d="M8 17v-3"/>
</svg>
Performance Statistics
</h2>
</div>
<div class="card-content">
<div class="stats-grid">
<div class="stat-card green">
<div class="flex items-center justify-between mb-2">
<svg class="icon text-green-600" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<path d="M10 14.66v1.626a2 2 0 0 1-.976 1.696A5 5 0 0 0 7 21.978"/>
<path d="M14 14.66v1.626a2 2 0 0 0 .976 1.696A5 5 0 0 1 17 21.978"/>
<path d="M18 9h1.5a1 1 0 0 0 0-5H18"/>
<path d="M4 22h16"/>
<path d="M6 9a6 6 0 0 0 12 0V3a1 1 0 0 0-1-1H7a1 1 0 0 0-1 1z"/>
<path d="M6 9H4.5a1 1 0 0 1 0-5H6"/>
</svg>
<span class="badge green">Top 0.02%</span>
</div>
<div class="stat-value">95.08</div>
<div class="stat-label">Final Creativity Score</div>
</div>
<div class="stat-card blue">
<div class="flex items-center justify-between mb-2">
<svg class="icon text-blue-600" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<path d="M16 21v-2a4 4 0 0 0-4-4H6a4 4 0 0 0-4 4v2"/>
<path d="M16 3.128a4 4 0 0 1 0 7.744"/>
<path d="M22 21v-2a4 4 0 0 0-3-3.87"/>
<circle cx="9" cy="7" r="4"/>
</svg>
<span class="badge blue">Percentile</span>
</div>
<div class="stat-value">99.98%</div>
<div class="stat-label">Better than others</div>
</div>
<div class="stat-card purple">
<div class="flex items-center justify-between mb-2">
<svg class="icon text-purple-600" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<path d="M12 6v6l4 2"/>
<circle cx="12" cy="12" r="10"/>
</svg>
<span class="badge purple">Duration</span>
</div>
<div class="stat-value">106m</div>
<div class="stat-label">Total game time</div>
</div>
<div class="stat-card orange">
<div class="flex items-center justify-between mb-2">
<svg class="icon" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<path d="M16 7h6v6"/>
<path d="m22 7-8.5 8.5-5-5L2 17"/>
</svg>
<span class="badge" style="background: #f59e0b; color: white;">Optimization</span>
</div>
<div class="stat-value">13</div>
<div class="stat-label">Optimization rounds</div>
</div>
<div class="stat-card pink">
<div class="flex items-center justify-between mb-2">
<svg class="icon" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<path d="M4 14a1 1 0 0 1-.78-1.63l9.9-10.2a.5.5 0 0 1 .86.46l-1.92 6.02A1 1 0 0 0 13 10h7a1 1 0 0 1 .78 1.63l-9.9 10.2a.5.5 0 0 1-.86-.46l1.92-6.02A1 1 0 0 0 11 14z"/>
</svg>
<span class="badge" style="background: #ec4899; color: white;">Changes</span>
</div>
<div class="stat-value">45</div>
<div class="stat-label">Total word swaps</div>
</div>
<div class="stat-card indigo">
<div class="flex items-center justify-between mb-2">
<svg class="icon" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<path d="M3 3v16a2 2 0 0 0 2 2h16"/>
<path d="M18 17V9"/>
<path d="M13 17V5"/>
<path d="M8 17v-3"/>
</svg>
<span class="badge" style="background: #6366f1; color: white;">Vocabulary</span>
</div>
<div class="stat-value">30</div>
<div class="stat-label">Unique words used</div>
</div>
</div>
<div class="space-y-4">
<h3 class="text-lg font-semibold text-gray-900">Semantic Distance Analysis</h3>
<div class="stats-grid" style="grid-template-columns: repeat(3, 1fr);">
<div class="info-box" style="background: #f9fafb; border: 1px solid #e5e7eb;">
<div class="text-sm font-medium text-gray-600 mb-1">Average Distance</div>
<div class="stat-value text-green-600">95.1</div>
<div class="text-xs text-gray-500">Across all word pairs</div>
</div>
<div class="info-box" style="background: #f9fafb; border: 1px solid #e5e7eb;">
<div class="text-sm font-medium text-gray-600 mb-1">Maximum Distance</div>
<div class="stat-value text-blue-600">104</div>
<div class="text-xs text-gray-500">Most distant pair</div>
</div>
<div class="info-box" style="background: #f9fafb; border: 1px solid #e5e7eb;">
<div class="text-sm font-medium text-gray-600 mb-1">Minimum Distance</div>
<div class="stat-value" style="color: #ea580c;">79</div>
<div class="text-xs text-gray-500">Closest pair (non-zero)</div>
</div>
</div>
<div class="info-box blue">
<h4 class="font-medium" style="color: #1e40af; margin-bottom: 0.5rem;">Key Insights</h4>
<ul class="space-y-1 text-sm" style="color: #1e3a8a;">
<li>• Achieved exceptional creativity score through systematic optimization</li>
<li>• Hillclimbing algorithm effectively explored the semantic space</li>
<li>• 3.46 average word changes per round shows focused refinement</li>
<li>• High semantic distances indicate successful divergent thinking</li>
</ul>
</div>
</div>
</div>
</div>
<!-- Game Progress Timeline -->
<div class="card">
<div class="card-header">
<h2 class="section-title">
<svg class="icon" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<path d="M12 6v6l4 2"/>
<circle cx="12" cy="12" r="10"/>
</svg>
Game Progress Timeline
</h2>
</div>
<div class="card-content">
<div class="space-y-4">
<!-- Round 1 -->
<div class="timeline-item">
<div class="timeline-number inactive">1</div>
<div class="flex-grow">
<div class="flex items-center justify-between mb-2">
<h3 class="font-medium text-gray-900">Round 1</h3>
<span class="badge" style="background: #f3f4f6; color: #374151; border: 1px solid #d1d5db;">11:53 PM</span>
</div>
<div class="word-tags">
<span class="word-tag">brilliance</span>
<span class="word-tag">sports</span>
<span class="word-tag">peace</span>
<span class="word-tag">rocket</span>
<span class="word-tag">icecream</span>
<span class="word-tag">+5 more</span>
</div>
</div>
</div>
<!-- Round 2 - Optimization -->
<div class="timeline-item">
<div class="timeline-number active">2</div>
<div class="flex-grow">
<div class="flex items-center justify-between mb-2">
<h3 class="font-medium text-gray-900">Round 2
<svg class="icon" style="color: #eab308; display: inline-block; margin-left: 0.25rem;" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<path d="M4 14a1 1 0 0 1-.78-1.63l9.9-10.2a.5.5 0 0 1 .86.46l-1.92 6.02A1 1 0 0 0 13 10h7a1 1 0 0 1 .78 1.63l-9.9 10.2a.5.5 0 0 1-.86-.46l1.92-6.02A1 1 0 0 0 11 14z"/>
</svg>
</h3>
<span class="badge" style="background: #f3f4f6; color: #374151; border: 1px solid #d1d5db;">12:00 AM</span>
</div>
<div class="word-tags">
<span class="word-tag">stochastic</span>
<span class="word-tag">fuselage</span>
<span class="word-tag">pitfall</span>
<span class="word-tag">screwdriver</span>
<span class="word-tag">sand</span>
<span class="word-tag">+5 more</span>
</div>
<div class="flex items-center gap-2 text-sm mt-2">
<span class="text-green-600">+10 added</span>
<span class="text-red-600">-10 removed</span>
</div>
</div>
</div>
<!-- Round 3 -->
<div class="timeline-item">
<div class="timeline-number inactive">3</div>
<div class="flex-grow">
<div class="flex items-center justify-between mb-2">
<h3 class="font-medium text-gray-900">Round 3</h3>
<span class="badge" style="background: #f3f4f6; color: #374151; border: 1px solid #d1d5db;">12:00 AM</span>
</div>
<div class="word-tags">
<span class="word-tag">stochastic</span>
<span class="word-tag">fuselage</span>
<span class="word-tag">pitfall</span>
<span class="word-tag">screwdriver</span>
<span class="word-tag">sand</span>
<span class="word-tag">+5 more</span>
</div>
</div>
</div>
<!-- Round 4 - Optimization -->
<div class="timeline-item">
<div class="timeline-number active">4</div>
<div class="flex-grow">
<div class="flex items-center justify-between mb-2">
<h3 class="font-medium text-gray-900">Round 4
<svg class="icon" style="color: #eab308; display: inline-block; margin-left: 0.25rem;" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<path d="M4 14a1 1 0 0 1-.78-1.63l9.9-10.2a.5.5 0 0 1 .86.46l-1.92 6.02A1 1 0 0 0 13 10h7a1 1 0 0 1 .78 1.63l-9.9 10.2a.5.5 0 0 1-.86-.46l1.92-6.02A1 1 0 0 0 11 14z"/>
</svg>
</h3>
<span class="badge" style="background: #f3f4f6; color: #374151; border: 1px solid #d1d5db;">01:33 AM</span>
</div>
<div class="word-tags">
<span class="word-tag">stochastic</span>
<span class="word-tag">fuselage</span>
<span class="word-tag">throne</span>
<span class="word-tag">icecream</span>
<span class="word-tag">cricket</span>
<span class="word-tag">+5 more</span>
</div>
<div class="flex items-center gap-2 text-sm mt-2">
<span class="text-green-600">+6 added</span>
<span class="text-red-600">-6 removed</span>
</div>
</div>
</div>
<!-- Round 8 - Optimization -->
<div class="timeline-item">
<div class="timeline-number active">8</div>
<div class="flex-grow">
<div class="flex items-center justify-between mb-2">
<h3 class="font-medium text-gray-900">Round 8
<svg class="icon" style="color: #eab308; display: inline-block; margin-left: 0.25rem;" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<path d="M4 14a1 1 0 0 1-.78-1.63l9.9-10.2a.5.5 0 0 1 .86.46l-1.92 6.02A1 1 0 0 0 13 10h7a1 1 0 0 1 .78 1.63l-9.9 10.2a.5.5 0 0 1-.86-.46l1.92-6.02A1 1 0 0 0 11 14z"/>
</svg>
</h3>
<span class="badge" style="background: #f3f4f6; color: #374151; border: 1px solid #d1d5db;">01:36 AM</span>
</div>
<div class="word-tags">
<span class="word-tag">stochastic</span>
<span class="word-tag">fuselage</span>
<span class="word-tag">throne</span>
<span class="word-tag">corporate</span>
<span class="word-tag">arthritis</span>
<span class="word-tag">+5 more</span>
</div>
<div class="flex items-center gap-2 text-sm mt-2">
<span class="text-green-600">+2 added</span>
<span class="text-red-600">-2 removed</span>
</div>
</div>
</div>
<!-- Round 10 - Optimization -->
<div class="timeline-item">
<div class="timeline-number active">10</div>
<div class="flex-grow">
<div class="flex items-center justify-between mb-2">
<h3 class="font-medium text-gray-900">Round 10
<svg class="icon" style="color: #eab308; display: inline-block; margin-left: 0.25rem;" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<path d="M4 14a1 1 0 0 1-.78-1.63l9.9-10.2a.5.5 0 0 1 .86.46l-1.92 6.02A1 1 0 0 0 13 10h7a1 1 0 0 1 .78 1.63l-9.9 10.2a.5.5 0 0 1-.86-.46l1.92-6.02A1 1 0 0 0 11 14z"/>
</svg>
</h3>
<span class="badge" style="background: #f3f4f6; color: #374151; border: 1px solid #d1d5db;">01:38 AM</span>
</div>
<div class="word-tags">
<span class="word-tag">stochastic</span>
<span class="word-tag">fuselage</span>
<span class="word-tag">throne</span>
<span class="word-tag">icecream</span>
<span class="word-tag">foosball</span>
<span class="word-tag">+5 more</span>
</div>
<div class="flex items-center gap-2 text-sm mt-2">
<span class="text-green-600">+3 added</span>
<span class="text-red-600">-3 removed</span>
</div>
</div>
</div>
<!-- Round 13 - Final Optimization -->
<div class="timeline-item">
<div class="timeline-number active">13</div>
<div class="flex-grow">
<div class="flex items-center justify-between mb-2">
<h3 class="font-medium text-gray-900">Round 13
<svg class="icon" style="color: #eab308; display: inline-block; margin-left: 0.25rem;" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<path d="M4 14a1 1 0 0 1-.78-1.63l9.9-10.2a.5.5 0 0 1 .86.46l-1.92 6.02A1 1 0 0 0 13 10h7a1 1 0 0 1 .78 1.63l-9.9 10.2a .5.5 0 0 1-.86-.46l1.92-6.02A1 1 0 0 0 11 14z"/>
</svg>
</h3>
<span class="badge" style="background: #f3f4f6; color: #374151; border: 1px solid #d1d5db;">01:39 AM</span>
</div>
<div class="word-tags">
<span class="word-tag">stochastic</span>
<span class="word-tag">fuselage</span>
<span class="word-tag">throne</span>
<span class="word-tag">corporate</span>
<span class="word-tag">arthritis</span>
<span class="word-tag">+2 more</span>
</div>
<div class="flex items-center gap-2 text-sm mt-2">
<span class="text-red-600">-3 removed</span>
</div>
</div>
</div>
</div>
</div>
</div>
<!-- Word Evolution & Optimization -->
<div class="card">
<div class="card-header">
<h2 class="section-title">
<svg class="icon" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<path d="M16 7h6v6"/>
<path d="m22 7-8.5 8.5-5-5L2 17"/>
</svg>
Word Evolution & Optimization
</h2>
</div>
<div class="card-content space-y-6">
<div class="text-sm text-gray-600 mb-4">Track how words were systematically replaced to maximize semantic distance using hillclimbing optimization.</div>
<!-- Round 2 Evolution -->
<div style="border-left: 2px solid #bfdbfe; padding-left: 1rem;">
<div class="flex items-center gap-2 mb-3">
<span class="badge blue">Round 2</span>
<svg class="icon text-gray-400" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<path d="M5 12h14"/>
<path d="m12 5 7 7-7 7"/>
</svg>
<span class="text-sm text-gray-600">Optimization step</span>
</div>
<div class="space-y-3">
<div>
<div class="flex items-center gap-2 mb-2">
<svg class="icon text-red-500" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<path d="M5 12h14"/>
</svg>
<span class="text-sm font-medium text-red-600">Removed</span>
<span class="text-xs text-gray-500">(Lower semantic distance)</span>
</div>
<div class="flex flex-wrap gap-2">
<span class="badge" style="background: #fef2f2; color: #b91c1c; border: 1px solid #fecaca;">brilliance</span>
<span class="badge" style="background: #fef2f2; color: #b91c1c; border: 1px solid #fecaca;">sports</span>
<span class="badge" style="background: #fef2f2; color: #b91c1c; border: 1px solid #fecaca;">peace</span>
<span class="badge" style="background: #fef2f2; color: #b91c1c; border: 1px solid #fecaca;">rocket</span>
<span class="badge" style="background: #fef2f2; color: #b91c1c; border: 1px solid #fecaca;">icecream</span>
<span class="badge" style="background: #fef2f2; color: #b91c1c; border: 1px solid #fecaca;">blush</span>
<span class="badge" style="background: #fef2f2; color: #b91c1c; border: 1px solid #fecaca;">friends</span>
<span class="badge" style="background: #fef2f2; color: #b91c1c; border: 1px solid #fecaca;">rhythm</span>
<span class="badge" style="background: #fef2f2; color: #b91c1c; border: 1px solid #fecaca;">velvet</span>
<span class="badge" style="background: #fef2f2; color: #b91c1c; border: 1px solid #fecaca;">ocean</span>
</div>
</div>
<div>
<div class="flex items-center gap-2 mb-2">
<svg class="icon text-green-500" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<path d="M5 12h14"/>
<path d="M12 5v14"/>
</svg>
<span class="text-sm font-medium text-green-600">Added</span>
<span class="text-xs text-gray-500">(Higher semantic distance)</span>
</div>
<div class="flex flex-wrap gap-2">
<span class="badge" style="background: #f0fdf4; color: #15803d; border: 1px solid #bbf7d0;">stochastic</span>
<span class="badge" style="background: #f0fdf4; color: #15803d; border: 1px solid #bbf7d0;">fuselage</span>
<span class="badge" style="background: #f0fdf4; color: #15803d; border: 1px solid #bbf7d0;">pitfall</span>
<span class="badge" style="background: #f0fdf4; color: #15803d; border: 1px solid #bbf7d0;">screwdriver</span>
<span class="badge" style="background: #f0fdf4; color: #15803d; border: 1px solid #bbf7d0;">sand</span>
<span class="badge" style="background: #f0fdf4; color: #15803d; border: 1px solid #bbf7d0;">spices</span>
<span class="badge" style="background: #f0fdf4; color: #15803d; border: 1px solid #bbf7d0;">arthritis</span>
<span class="badge" style="background: #f0fdf4; color: #15803d; border: 1px solid #bbf7d0;">printer</span>
<span class="badge" style="background: #f0fdf4; color: #15803d; border: 1px solid #bbf7d0;">flute</span>
<span class="badge" style="background: #f0fdf4; color: #15803d; border: 1px solid #bbf7d0;">dinosaurs</span>
</div>
</div>
<div class="text-xs text-gray-500 mt-2">This change increased the overall semantic distance between word pairs.</div>
</div>
</div>
<!-- Round 4 Evolution -->
<div style="border-left: 2px solid #bfdbfe; padding-left: 1rem;">
<div class="flex items-center gap-2 mb-3">
<span class="badge blue">Round 4</span>
<svg class="icon text-gray-400" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<path d="M5 12h14"/>
<path d="m12 5 7 7-7 7"/>
</svg>
<span class="text-sm text-gray-600">Optimization step</span>
</div>
<div class="space-y-3">
<div>
<div class="flex items-center gap-2 mb-2">
<svg class="icon text-red-500" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<path d="M5 12h14"/>
</svg>
<span class="text-sm font-medium text-red-600">Removed</span>
<span class="text-xs text-gray-500">(Lower semantic distance)</span>
</div>
<div class="flex flex-wrap gap-2">
<span class="badge" style="background: #fef2f2; color: #b91c1c; border: 1px solid #fecaca;">pitfall</span>
<span class="badge" style="background: #fef2f2; color: #b91c1c; border: 1px solid #fecaca;">screwdriver</span>
<span class="badge" style="background: #fef2f2; color: #b91c1c; border: 1px solid #fecaca;">sand</span>
<span class="badge" style="background: #fef2f2; color: #b91c1c; border: 1px solid #fecaca;">spices</span>
<span class="badge" style="background: #fef2f2; color: #b91c1c; border: 1px solid #fecaca;">flute</span>
<span class="badge" style="background: #fef2f2; color: #b91c1c; border: 1px solid #fecaca;">dinosaurs</span>
</div>
</div>
<div>
<div class="flex items-center gap-2 mb-2">
<svg class="icon text-green-500" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<path d="M5 12h14"/>
<path d="M12 5v14"/>
</svg>
<span class="text-sm font-medium text-green-600">Added</span>
<span class="text-xs text-gray-500">(Higher semantic distance)</span>
</div>
<div class="flex flex-wrap gap-2">
<span class="badge" style="background: #f0fdf4; color: #15803d; border: 1px solid #bbf7d0;">throne</span>
<span class="badge" style="background: #f0fdf4; color: #15803d; border: 1px solid #bbf7d0;">icecream</span>
<span class="badge" style="background: #f0fdf4; color: #15803d; border: 1px solid #bbf7d0;">cricket</span>
<span class="badge" style="background: #f0fdf4; color: #15803d; border: 1px solid #bbf7d0;">remote</span>
<span class="badge" style="background: #f0fdf4; color: #15803d; border: 1px solid #bbf7d0;">eel</span>
<span class="badge" style="background: #f0fdf4; color: #15803d; border: 1px solid #bbf7d0;">speedbreaker</span>
</div>
</div>
<div class="text-xs text-gray-500 mt-2">This change increased the overall semantic distance between word pairs.</div>
</div>
</div>
<!-- Round 13 Final Evolution -->
<div style="border-left: 2px solid #bfdbfe; padding-left: 1rem;">
<div class="flex items-center gap-2 mb-3">
<span class="badge blue">Round 13</span>
<svg class="icon text-gray-400" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<path d="M5 12h14"/>
<path d="m12 5 7 7-7 7"/>
</svg>
<span class="text-sm text-gray-600">Final optimization step</span>
</div>
<div class="space-y-3">
<div>
<div class="flex items-center gap-2 mb-2">
<svg class="icon text-red-500" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<path d="M5 12h14"/>
</svg>
<span class="text-sm font-medium text-red-600">Removed</span>
<span class="text-xs text-gray-500">(Lower semantic distance)</span>
</div>
<div class="flex flex-wrap gap-2">
<span class="badge" style="background: #fef2f2; color: #b91c1c; border: 1px solid #fecaca;">icecream</span>
<span class="badge" style="background: #fef2f2; color: #b91c1c; border: 1px solid #fecaca;">foosball</span>
<span class="badge" style="background: #fef2f2; color: #b91c1c; border: 1px solid #fecaca;">speedbreaker</span>
</div>
</div>
<div class="text-xs text-gray-500 mt-2">Final optimization achieved score of 95.08 with 7 highly diverse words.</div>
</div>
</div>
<div class="info-box blue">
<h4 class="font-medium" style="color: #1e40af; margin-bottom: 0.5rem;">Hillclimbing Strategy</h4>
<p class="text-sm" style="color: #1e3a8a;">Each word replacement represents a "hill climbing" step where words with lower semantic distances to other words in the set were systematically replaced with words that had higher distances, improving the overall creativity score.</p>
</div>
</div>
</div>
<!-- Understanding Hillclimbing Optimization -->
<div class="card">
<div class="card-header">
<h2 class="section-title">
<svg class="icon" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<path d="m8 3 4 8 5-5 5 15H2L8 3z"/>
</svg>
Understanding Hillclimbing Optimization
</h2>
</div>
<div class="card-content space-y-6">
<div class="text-gray-700">
<p class="mb-4"><strong>Hillclimbing</strong> is a local search optimization algorithm that continuously moves towards better solutions by making incremental improvements. Think of it like climbing a hill in foggy weather - you can only see your immediate surroundings, so you always take the step that goes uphill.</p>
</div>
<div class="stats-grid" style="grid-template-columns: repeat(auto-fit, minmax(300px, 1fr));">
<div class="space-y-4">
<h3 class="text-lg font-semibold text-gray-900 flex items-center gap-2">
<svg class="icon" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<path d="m5 12 7-7 7 7"/>
<path d="M12 19V5"/>
</svg>
Algorithm Steps
</h3>
<div class="space-y-3">
<div class="flex items-start gap-3 p-3 info-box blue">
<span class="badge blue" style="min-width: 24px; height: 24px; padding: 0; display: flex; align-items: center; justify-content: center;">1</span>
<div class="text-sm"><strong>Initialize:</strong> Start with a random solution (10 diverse words)</div>
</div>
<div class="flex items-start gap-3 p-3 info-box blue">
<span class="badge blue" style="min-width: 24px; height: 24px; padding: 0; display: flex; align-items: center; justify-content: center;">2</span>
<div class="text-sm"><strong>Evaluate:</strong> Calculate semantic distances between all word pairs</div>
</div>
<div class="flex items-start gap-3 p-3 info-box blue">
<span class="badge blue" style="min-width: 24px; height: 24px; padding: 0; display: flex; align-items: center; justify-content: center;">3</span>
<div class="text-sm"><strong>Find weakness:</strong> Identify the word pair with smallest distance</div>
</div>
<div class="flex items-start gap-3 p-3 info-box blue">
<span class="badge blue" style="min-width: 24px; height: 24px; padding: 0; display: flex; align-items: center; justify-content: center;">4</span>
<div class="text-sm"><strong>Improve:</strong> Replace one word with a more distant alternative</div>
</div>
<div class="flex items-start gap-3 p-3 info-box blue">
<span class="badge blue" style="min-width: 24px; height: 24px; padding: 0; display: flex; align-items: center; justify-content: center;">5</span>
<div class="text-sm"><strong>Repeat:</strong> Continue until no improvement is possible</div>
</div>
</div>
</div>
<div class="space-y-4">
<h3 class="text-lg font-semibold text-gray-900 flex items-center gap-2">
<svg class="icon" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<circle cx="12" cy="12" r="10"/>
<circle cx="12" cy="12" r="6"/>
<circle cx="12" cy="12" r="2"/>
</svg>
Application to DAT
</h3>
<div class="space-y-3">
<div class="info-box green" style="border-left: 4px solid #4ade80;">
<h4 class="font-medium text-green-800 mb-1">Objective Function</h4>
<p class="text-sm text-green-700">Maximize the sum of semantic distances between all word pairs</p>
</div>
<div class="info-box" style="background: #faf5ff; border: 1px solid #e9d5ff; border-left: 4px solid #a855f7;">
<h4 class="font-medium" style="color: #7c2d12; margin-bottom: 0.25rem;">Neighbor Generation</h4>
<p class="text-sm" style="color: #7c2d12;">Replace one word at a time with alternatives from vocabulary</p>
</div>
<div class="info-box" style="background: #fff7ed; border: 1px solid #fed7aa; border-left: 4px solid #f97316;">
<h4 class="font-medium" style="color: #c2410c; margin-bottom: 0.25rem;">Local Optimum</h4>
<p class="text-sm" style="color: #c2410c;">Stop when no single word replacement improves the score</p>
</div>
</div>
</div>
</div>
<div class="stats-grid" style="grid-template-columns: repeat(auto-fit, minmax(300px, 1fr));">
<div>
<h4 class="font-medium text-gray-900 mb-3">Why Hillclimbing Works Here</h4>
<ul class="space-y-2 text-sm text-gray-700">
<li class="flex items-start gap-2">
<div style="width: 6px; height: 6px; background: #10b981; border-radius: 50%; margin-top: 8px; flex-shrink: 0;"></div>
<span><strong>Greedy improvement:</strong> Each word replacement immediately improves the score</span>
</li>
<li class="flex items-start gap-2">
<div style="width: 6px; height: 6px; background: #10b981; border-radius: 50%; margin-top: 8px; flex-shrink: 0;"></div>
<span><strong>Fast convergence:</strong> Reaches a good solution quickly</span>
</li>
<li class="flex items-start gap-2">
<div style="width: 6px; height: 6px; background: #10b981; border-radius: 50%; margin-top: 8px; flex-shrink: 0;"></div>
<span><strong>Intuitive process:</strong> Mimics how humans naturally optimize</span>
</li>
</ul>
</div>
<div>
<h4 class="font-medium text-gray-900 mb-3">Potential Limitations</h4>
<ul class="space-y-2 text-sm text-gray-700">
<li class="flex items-start gap-2">
<div style="width: 6px; height: 6px; background: #ef4444; border-radius: 50%; margin-top: 8px; flex-shrink: 0;"></div>
<span><strong>Local optima:</strong> May get stuck in suboptimal solutions</span>
</li>
<li class="flex items-start gap-2">
<div style="width: 6px; height: 6px; background: #ef4444; border-radius: 50%; margin-top: 8px; flex-shrink: 0;"></div>
<span><strong>Initial dependency:</strong> Result depends on starting words</span>
</li>
<li class="flex items-start gap-2">
<div style="width: 6px; height: 6px; background: #ef4444; border-radius: 50%; margin-top: 8px; flex-shrink: 0;"></div>
<span><strong>Single-word changes:</strong> Cannot make coordinated multi-word swaps</span>
</li>
</ul>
</div>
</div>
<div class="info-box" style="background: linear-gradient(to right, #eff6ff, #faf5ff); border: 1px solid #bfdbfe;">
<h4 class="font-semibold text-gray-900 mb-2 flex items-center gap-2">
<svg class="icon" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<path d="M3 12a9 9 0 1 0 9-9 9.75 9.75 0 0 0-6.74 2.74L3 8"/>
<path d="M3 3v5h5"/>
</svg>
My Implementation Result
</h4>
<p class="text-sm text-gray-700 mb-2">Despite these theoretical limitations, the hillclimbing approach was highly effective for the DAT creativity game, achieving a score of <strong>95.08</strong> and ranking in the <strong>99.98th percentile</strong>.</p>
<p class="text-sm text-gray-600">This success suggests that the semantic distance landscape for this problem has favorable properties for local search, with relatively few problematic local optima.</p>
</div>
</div>
</div>
<!-- Semantic Distance Matrix -->
<div class="card">
<div class="card-header">
<h2 class="section-title">
<svg class="icon" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<rect width="18" height="18" x="3" y="3" rx="2"/>
<path d="M3 9h18"/>
<path d="M3 15h18"/>
<path d="M9 3v18"/>
<path d="M15 3v18"/>
</svg>
Semantic Distance Matrix
</h2>
</div>
<div class="card-content">
<div class="flex items-center justify-between mb-4">
<p class="text-sm text-gray-600">Interactive matrix showing semantic distances between final word pairs</p>
<div class="flex items-center gap-2">
<svg class="icon text-green-600" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2">
<circle cx="12" cy="12" r="10"/>
<circle cx="12" cy="12" r="6"/>
<circle cx="12" cy="12" r="2"/>
</svg>
<span class="badge green">Score: 95.08</span>
</div>
</div>
<div style="overflow-x: auto;">
<table class="matrix-table">
<thead>
<tr>
<th style="width: 100px;"></th>
<th>stochastic</th>
<th>fuselage</th>
<th>throne</th>
<th>corporate</th>
<th>arthritis</th>
<th>chilli</th>
<th>lens</th>
</tr>
</thead>
<tbody>
<tr>
<th>stochastic</th>
<td><div class="matrix-cell zero">0</div></td>
<td><div class="matrix-cell high">103</div></td>
<td><div class="matrix-cell high">100</div></td>
<td><div class="matrix-cell high">93</div></td>
<td><div class="matrix-cell high">94</div></td>
<td><div class="matrix-cell high">98</div></td>
<td><div class="matrix-cell high">94</div></td>
</tr>
<tr>
<th>fuselage</th>
<td><div class="matrix-cell high">103</div></td>
<td><div class="matrix-cell zero">0</div></td>
<td><div class="matrix-cell high">94</div></td>
<td><div class="matrix-cell high">98</div></td>
<td><div class="matrix-cell high">96</div></td>
<td><div class="matrix-cell high">91</div></td>
<td><div class="matrix-cell low">79</div></td>
</tr>
<tr>
<th>throne</th>
<td><div class="matrix-cell high">100</div></td>
<td><div class="matrix-cell high">94</div></td>
<td><div class="matrix-cell zero">0</div></td>
<td><div class="matrix-cell high">95</div></td>
<td><div class="matrix-cell high">98</div></td>
<td><div class="matrix-cell high">101</div></td>
<td><div class="matrix-cell high">98</div></td>
</tr>
<tr>
<th>corporate</th>
<td><div class="matrix-cell high">93</div></td>
<td><div class="matrix-cell high">98</div></td>
<td><div class="matrix-cell high">95</div></td>
<td><div class="matrix-cell zero">0</div></td>
<td><div class="matrix-cell high">97</div></td>
<td><div class="matrix-cell high">100</div></td>
<td><div class="matrix-cell high">92</div></td>
</tr>
<tr>
<th>arthritis</th>
<td><div class="matrix-cell high">94</div></td>
<td><div class="matrix-cell high">96</div></td>
<td><div class="matrix-cell high">98</div></td>
<td><div class="matrix-cell high">97</div></td>
<td><div class="matrix-cell zero">0</div></td>
<td><div class="matrix-cell high">86</div></td>
<td><div class="matrix-cell high">87</div></td>
</tr>
<tr>
<th>chilli</th>
<td><div class="matrix-cell high">98</div></td>
<td><div class="matrix-cell high">91</div></td>
<td><div class="matrix-cell high">101</div></td>
<td><div class="matrix-cell high">100</div></td>
<td><div class="matrix-cell high">86</div></td>
<td><div class="matrix-cell zero">0</div></td>
<td><div class="matrix-cell high">104</div></td>
</tr>
<tr>
<th>lens</th>
<td><div class="matrix-cell high">94</div></td>
<td><div class="matrix-cell low">79</div></td>
<td><div class="matrix-cell high">98</div></td>
<td><div class="matrix-cell high">92</div></td>
<td><div class="matrix-cell high">87</div></td>
<td><div class="matrix-cell high">104</div></td>
<td><div class="matrix-cell zero">0</div></td>
</tr>
</tbody>
</table>
</div>
<div class="flex items-center justify-between text-sm text-gray-500 mb-4">
<div class="flex items-center gap-4">
<div class="flex items-center gap-1">
<div style="width: 0.75rem; height: 0.75rem; background: #a7f3d0; border-radius: 0.125rem;"></div>
<span>Low distance</span>
</div>
<div class="flex items-center gap-1">
<div style="width: 0.75rem; height: 0.75rem; background: #34d399; border-radius: 0.125rem;"></div>
<span>Medium distance</span>
</div>
<div class="flex items-center gap-1">
<div style="width: 0.75rem; height: 0.75rem; background: #10b981; border-radius: 0.125rem;"></div>
<span>High distance</span>
</div>
</div>
<span>Matrix is symmetric</span>
</div>
<div class="info-box" style="background: #f9fafb; border: 1px solid #e5e7eb;">
<h4 class="font-medium text-gray-900 mb-2">Matrix Analysis</h4>
<div class="stats-grid" style="grid-template-columns: repeat(3, 1fr);">
<div>
<span class="font-medium text-gray-700">Average Distance:</span>
<div class="text-lg font-semibold text-green-600">95.1</div>
</div>
<div>
<span class="font-medium text-gray-700">Highest Distance:</span>
<div class="text-lg font-semibold text-blue-600">104</div>
</div>
<div>
<span class="font-medium text-gray-700">Lowest Distance:</span>
<div class="text-lg font-semibold" style="color: #ea580c;">79</div>
</div>
</div>
</div>
</div>
</div>
<!-- What is DAT? -->
<div class="card">
<div class="card-header">
<h2 class="section-title">What is the DAT Creativity Game?</h2>
<p class="text-sm text-gray-600">Understanding the Divergent Association Task</p>
</div>
<div class="card-content space-y-4">
<p class="text-gray-700">The Divergent Association Task (DAT) is a creativity assessment that measures your ability to think of diverse, unrelated concepts. Players must generate 10 words that are as semantically distant from each other as possible.</p>
<p class="text-gray-700">The challenge lies in finding words that share minimal conceptual overlap, requiring creative thinking and broad knowledge across different domains.</p>
</div>
</div>
</div>
</div>
</body>
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