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claude-codedevelopment

Babysitter number-theory-toolkit

Provide number theory algorithm implementations and guidance

install
source · Clone the upstream repo
git clone https://github.com/a5c-ai/babysitter
Claude Code · Install into ~/.claude/skills/
T=$(mktemp -d) && git clone --depth=1 https://github.com/a5c-ai/babysitter "$T" && mkdir -p ~/.claude/skills && cp -r "$T/library/specializations/algorithms-optimization/skills/number-theory-toolkit" ~/.claude/skills/a5c-ai-babysitter-number-theory-toolkit && rm -rf "$T"
manifest: library/specializations/algorithms-optimization/skills/number-theory-toolkit/SKILL.md
tags
#number-theory#algorithm-implementation#competitive-programming#modular-arithmetic#fft-ntt
source content

Number Theory Toolkit Skill

Purpose

Provide implementations and guidance for number theory algorithms commonly used in competitive programming.

Capabilities

  • Modular arithmetic operations
  • Extended Euclidean algorithm
  • Chinese Remainder Theorem
  • Modular inverse and exponentiation
  • FFT/NTT for polynomial multiplication
  • Linear sieve implementations

Target Processes

  • number-theory-algorithms
  • prime-algorithms
  • combinatorics-counting

Algorithm Catalog

Modular Arithmetic

  • Modular exponentiation (binary exp)
  • Modular inverse (Fermat/Extended GCD)
  • Modular square root (Tonelli-Shanks)

GCD and Extensions

  • Euclidean algorithm
  • Extended Euclidean algorithm
  • Linear Diophantine equations

Chinese Remainder Theorem

  • CRT for coprime moduli
  • General CRT

FFT/NTT

  • Fast Fourier Transform
  • Number Theoretic Transform
  • Polynomial multiplication

Input Schema

{
  "type": "object",
  "properties": {
    "algorithm": { "type": "string" },
    "parameters": { "type": "object" },
    "language": {
      "type": "string",
      "enum": ["cpp", "python", "java"]
    },
    "modulo": { "type": "integer" }
  },
  "required": ["algorithm"]
}

Output Schema

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