{
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "$id": "https://askcalculators.com/calculator/circular-permutation-calculator/schema.json",
  "title": "Circular Permutation Calculator inputs",
  "description": "Count arrangements of distinct objects around a circle when rotations are considered identical.",
  "type": "object",
  "properties": {
    "n": {
      "title": "Number of distinct objects n",
      "type": "number",
      "default": 8,
      "minimum": 1,
      "maximum": 1000,
      "x-step": 1,
      "multipleOf": 1
    },
    "reflectionsSame": {
      "title": "Treat mirror images as identical",
      "type": "boolean",
      "default": false
    }
  },
  "required": [
    "n"
  ],
  "additionalProperties": false,
  "x-askcalculators": {
    "version": "1.0.0",
    "calculatorUrl": "https://askcalculators.com/calculator/circular-permutation-calculator/",
    "queryExample": "https://askcalculators.com/calculator/circular-permutation-calculator/?n=8&reflectionsSame=0",
    "migrationStatus": "new",
    "reviewStatus": "pending",
    "pageStatus": "live",
    "workStatus": "pending",
    "formula": {
      "expression": "rotational arrangements = (n − 1)!; with equivalent reflections divide by 2 for n > 2"
    },
    "quality": {
      "availability": "live",
      "technicalReviewRecord": "/reviews/circular-permutation-calculator.json",
      "qualifiedReview": "pending",
      "qualifiedReviewer": null,
      "qualifiedReviewDate": null,
      "formulaVersion": "1.0.0",
      "referenceCoverage": "references-pending",
      "releaseTestScope": "Catalog and regression checks are not a professional formula audit; consult release evidence.",
      "historicalMetadataDate": "2026-09-01",
      "historicalMetadataNotice": "The imported date is not evidence of a completed human review."
    },
    "outputs": {
      "permutations": {
        "title": "Circular permutations",
        "type": "string",
        "x-format": "text",
        "x-primary": true
      },
      "formulaUsed": {
        "title": "Formula used",
        "type": "string",
        "x-format": "text"
      }
    }
  }
}