{
  "id": "diamond-problem-solver",
  "version": "1.0.0",
  "name": "Diamond Problem Solver",
  "shortName": "Diamond Problem Solver",
  "description": "Find two numbers whose product and sum match a diamond problem.",
  "category": "Math & Statistics",
  "categorySlug": "math-statistics",
  "keywords": [
    "diamond",
    "problem",
    "solver",
    "diamond problem solver"
  ],
  "status": "live",
  "workStatus": "pending",
  "reviewStatus": "pending",
  "migrationStatus": "new",
  "engine": "native",
  "creator": null,
  "reviewer": null,
  "quality": {
    "availability": "live",
    "technicalReviewRecord": "/reviews/diamond-problem-solver.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."
  },
  "urls": {
    "page": "/calculator/diamond-problem-solver/",
    "definition": "/calculator/diamond-problem-solver/definition.json",
    "schema": "/calculator/diamond-problem-solver/schema.json",
    "llms": "/calculator/diamond-problem-solver/llms.txt",
    "legacyDefinition": "/calculator/diamond-problem-solver.json"
  },
  "queryExample": "https://askcalculators.com/calculator/diamond-problem-solver/?product=12&sum=7",
  "queryParameters": {
    "product": {
      "label": "Product",
      "type": "number",
      "required": true,
      "default": 12
    },
    "sum": {
      "label": "Sum",
      "type": "number",
      "required": true,
      "default": 7
    }
  },
  "inputs": [
    {
      "id": "product",
      "label": "Product",
      "type": "number",
      "required": true,
      "defaultValue": 12,
      "step": 0.001
    },
    {
      "id": "sum",
      "label": "Sum",
      "type": "number",
      "required": true,
      "defaultValue": 7,
      "step": 0.001
    }
  ],
  "outputs": [
    {
      "id": "firstNumber",
      "label": "First number",
      "format": "text",
      "primary": true
    },
    {
      "id": "secondNumber",
      "label": "Second number",
      "format": "text"
    },
    {
      "id": "factorization",
      "label": "Factorization",
      "format": "text"
    }
  ],
  "formula": {
    "expression": "x + y = S and xy = P, so x and y are roots of t² − St + P = 0"
  },
  "examples": [
    {
      "label": "Reproducible default-input example (not a personal recommendation)",
      "inputs": {
        "product": 12,
        "sum": 7
      }
    }
  ],
  "sources": []
}