segment-tree-builder

Development

Generate customized segment tree implementations

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

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Segment Tree Builder Skill

Purpose

Generate customized segment tree implementations for various merge functions, with support for lazy propagation and advanced variants.

Capabilities

Generate segment tree for custom merge functions
Lazy propagation template generation
Persistent segment tree variants
2D segment tree generation
Segment tree beats for complex updates
Iterative vs recursive implementations

Target Processes

segment-tree-implementation
range-query-optimization
data-structure-implementation

Segment Tree Variants

Basic: Point update, range query
Lazy Propagation: Range update, range query
Persistent: Version history preservation
2D Segment Tree: 2D range queries
Segment Tree Beats: Complex range updates (chmin, chmax)
Merge Sort Tree: Range order statistics

Input Schema

{
  "type": "object",
  "properties": {
    "mergeFunction": { "type": "string" },
    "identity": { "type": "string" },
    "updateType": {
      "type": "string",
      "enum": ["point", "range", "both"]
    },
    "lazyPropagation": { "type": "boolean" },
    "variant": {
      "type": "string",
      "enum": ["basic", "lazy", "persistent", "2d", "beats"]
    },
    "language": {
      "type": "string",
      "enum": ["cpp", "python", "java"]
    },
    "style": {
      "type": "string",
      "enum": ["recursive", "iterative"]
    }
  },
  "required": ["mergeFunction", "identity"]
}

Output Schema

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