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