{
  "schema_version": "3.0",
  "episode_id": "eval_sample_4_semigroup_p5_p6",
  "problem_id": "sample_4",
  "milestone_id": "m2",
  "split": "eval",
  "episode_type": "exact_benchmark",
  "reward_mode": "exact_machine",
  "verifier_id": "numerical_semigroup",
  "prompt": "For the product benchmark with raw degrees 6 and 7, compute the exact conductor and test the quadratic bound 36.",
  "input": {
    "raw_generators": [
      6,
      7
    ],
    "proposed_bound": 36
  },
  "candidate_required_fields": [
    "gcd",
    "normalized_generators",
    "apery_set",
    "conductor",
    "frobenius_number",
    "satisfies_bound"
  ],
  "submission_schema_ref": "schemas/submission.schema.json",
  "policy_visibility": "public"
}