{
  "retrieved_at_utc": "2026-10-08T22:45:16.607215+00:00",
  "sources": [
    {
      "url": "https://stat.ethz.ch/R-manual/R-devel/library/stats/html/fisher.test.html",
      "note": "Official R documentation: public tea table and specified greater alternative. No local R execution."
    },
    {
      "url": "https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.fisher_exact.html",
      "observed_documentation_version": "1.18.0",
      "note": "Official documentation input examples and fixed-margin null; local package version is different and import failed."
    },
    {
      "url": "https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.random_table.html",
      "observed_documentation_version": "1.18.0",
      "note": "Official fixed-margin independence distribution and public 2-by-3 margin example."
    },
    {
      "url": "https://networkx.org/documentation/stable/reference/algorithms/generated/networkx.algorithms.flow.network_simplex.html",
      "observed_documentation_version": "3.7",
      "local_executed_version": "3.4.2",
      "note": "Official minimum-cost-flow API; demand is net inflow, opposite source balance."
    },
    {
      "url": "https://developers.google.com/optimization/flow/mincostflow",
      "note": "Official public five-node/nine-arc capacity/cost model; OR-Tools not run. Numeric data kept with original costs and separate count scope."
    }
  ],
  "scipy_default_environment": {
    "package_version": "1.15.3",
    "numpy_version": "2.2.6",
    "execution": "import_failed",
    "reason": "Native scipy.sparse.linalg._propack._spropack extension fails dlopen: Mach-O __DATA/__thread_bss zero-fill section offset is not zero"
  },
  "bundled_environment": {
    "python_version": "3.12.14",
    "numpy_version": "2.3.5",
    "scipy": "not_installed",
    "execution": "not_run"
  },
  "installations_or_environment_repairs": "none",
  "R_executed": false,
  "ORTools_executed": false,
  "interpretation": "Primary-source retrieval and local environment observations, not source mathematics acceptance, live SciPy/R agreement or real customer evidence."
}