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advanced-ds-library

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Provide implementations of advanced data structures

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Source SKILL.md: https://github.com/a5c-ai/babysitter/blob/HEAD/library/specializations/algorithms-optimization/skills/advanced-ds-library/SKILL.md

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Advanced Data Structures Library Skill

Purpose

Provide implementations and guidance for advanced data structures commonly needed in competitive programming and complex algorithmic problems.

Capabilities

  • Treaps, Splay trees, Link-cut trees
  • Persistent data structures
  • Wavelet trees
  • Heavy-light decomposition
  • Centroid decomposition
  • Rope data structure
  • Order statistics tree

Target Processes

  • data-structure-implementation
  • advanced-graph-algorithms
  • cp-library-creation

Data Structure Catalog

Balanced BSTs

  • Treap (randomized BST)
  • Splay Tree (self-adjusting)
  • AVL Tree
  • Red-Black Tree

Tree Decomposition

  • Heavy-Light Decomposition
  • Centroid Decomposition
  • Euler Tour Technique

Advanced Structures

  • Link-Cut Trees (dynamic trees)
  • Wavelet Tree (range queries)
  • Persistent Segment Tree
  • Rope (string with fast operations)

Input Schema

{
  "type": "object",
  "properties": {
    "dataStructure": { "type": "string" },
    "operations": { "type": "array" },
    "language": {
      "type": "string",
      "enum": ["cpp", "python", "java"]
    },
    "includeTests": { "type": "boolean", "default": false }
  },
  "required": ["dataStructure"]
}

Output Schema

{
  "type": "object",
  "properties": {
    "success": { "type": "boolean" },
    "code": { "type": "string" },
    "complexity": { "type": "object" },
    "usage": { "type": "string" },
    "applications": { "type": "array" }
  },
  "required": ["success"]
}