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Agentic AI Atlas · combinatorics-calculator
lib-skill:algorithms-optimization--combinatorics-calculatora5c.ai
II.
LibrarySkill JSON

lib-skill:algorithms-optimization--combinatorics-calculator

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combinatorics-calculator json

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File · generated-library/skills.yamlCluster · generated-library
Record JSON
{
  "id": "lib-skill:algorithms-optimization--combinatorics-calculator",
  "_kind": "LibrarySkill",
  "_file": "generated-library/skills.yaml",
  "_cluster": "generated-library",
  "attributes": {
    "displayName": "combinatorics-calculator",
    "description": "Calculate combinatorial values with modular arithmetic",
    "libraryPath": "library/specializations/algorithms-optimization/skills/combinatorics-calculator/SKILL.md",
    "specialization": "algorithms-optimization",
    "contentSummary": "# Combinatorics Calculator Skill\n\n## Purpose\n\nCalculate combinatorial values with modular arithmetic support for competitive programming applications.\n\n## Capabilities\n\n- Factorial and inverse factorial precomputation\n- nCr, nPr with modular arithmetic\n- Catalan, Stirling, Bell numbers\n- Lucas theor"
  },
  "outgoingEdges": [
    {
      "from": "lib-skill:algorithms-optimization--combinatorics-calculator",
      "to": "skill-area:dynamic-programming",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-skill:algorithms-optimization--combinatorics-calculator",
      "to": "skill-area:mathematical-reasoning",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-skill:algorithms-optimization--combinatorics-calculator",
      "to": "domain:computer-science",
      "kind": "lib_applies_to_domain",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-skill:algorithms-optimization--combinatorics-calculator",
      "to": "role:backend-engineer",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-skill:algorithms-optimization--combinatorics-calculator",
      "to": "role:computational-scientist",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-skill:algorithms-optimization--combinatorics-calculator",
      "to": "specialization:algorithms-optimization",
      "kind": "lib_belongs_to_specialization",
      "attributes": {
        "weight": 1
      }
    }
  ],
  "incomingEdges": []
}