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recurrence-solver - Expert Recurrence Relation Solver for Algorithm Analysis

Solves recurrence relations using multiple mathematical methods including Master Theorem and generating functions

Tags

Updated: 2026-02-12
computer-sciencealgorithm-analysismathematics

Capabilities

Apply Master TheoremUse substitution methodAnalyze recursion treesApply generating functions

Typical Inputs

Recurrence relationAlgorithm problemBase case conditions

Typical Outputs

Recurrence solutionAsymptotic complexityMathematical proof

What this skill does

  • Apply Master Theorem
  • Use substitution method
  • Analyze recursion trees
  • Apply generating functions
  • Use Akra-Bazzi method

Inputs

  • Recurrence relation
  • Algorithm problem
  • Base case conditions

Outputs

  • Recurrence solution
  • Asymptotic complexity
  • Mathematical proof

Requirements

  • SymPy library
  • Visualization libraries
  • Symbolic algebra system

Source

  • Spec: SKILL.md

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