Suffix Structure Builder Skill

Purpose

Build suffix arrays, suffix trees, and related structures with efficient construction algorithms and common query implementations.

Capabilities

• Suffix array construction (SA-IS, DC3)
• LCP array construction
• Suffix tree construction
• Suffix automaton construction
• Query implementations for each structure
• Sparse table for LCP queries

Target Processes

• trie-suffix-structures
• pattern-matching-algorithms
• string-processing

Suffix Structures

Suffix Array

• O(n log n) or O(n) construction
• Combined with LCP for powerful queries
• Pattern matching in O(m log n)

LCP Array

• Kasai's algorithm O(n)
• Range minimum queries for LCA
• Distinct substring counting

Suffix Tree

• Ukkonen's algorithm O(n)
• More complex but powerful
• Direct pattern matching O(m)

Suffix Automaton

• O(n) construction
• Smallest automaton for all substrings
• Powerful for counting problems

Input Schema

json
{
  "type": "object",
  "properties": {
    "structure": {
      "type": "string",
      "enum": ["suffixArray", "lcpArray", "suffixTree", "suffixAutomaton"]
    },
    "algorithm": { "type": "string" },
    "queries": { "type": "array" },
    "language": {
      "type": "string",
      "enum": ["cpp", "python", "java"]
    }
  },
  "required": ["structure"]
}

Output Schema

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