{
  "schema_version": "3.0",
  "episode_id": "dev_sample_4_semigroup_three_four",
  "problem_id": "sample_4",
  "milestone_id": "m2",
  "split": "dev",
  "episode_type": "exact_benchmark",
  "reward_mode": "exact_machine",
  "verifier_id": "numerical_semigroup",
  "prompt": "Compute the normalized numerical semigroup generated by 3 and 4, including its Apéry set, Frobenius number, conductor, and bound test.",
  "input": {
    "raw_generators": [
      3,
      4
    ],
    "proposed_bound": 6
  },
  "candidate_required_fields": [
    "gcd",
    "normalized_generators",
    "apery_set",
    "conductor",
    "frobenius_number",
    "satisfies_bound"
  ],
  "submission_schema_ref": "schemas/submission.schema.json",
  "policy_visibility": "public"
}