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

1. Basic: Point update, range query
2. Lazy Propagation: Range update, range query
3. Persistent: Version history preservation
4. 2D Segment Tree: 2D range queries
5. Segment Tree Beats: Complex range updates (chmin, chmax)
6. 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"]
}