{
  "schema": "diskcover-public-problem-v2",
  "problem_id": "diskcover-n25",
  "n": 25,
  "title": "单位圆盘的 25 圆最优覆盖问题",
  "language": "zh-CN",
  "page_url": "n25.zh.html",
  "prompt_url": "prompts/n25.md",
  "alternate_pages": {
    "zh-CN": "n25.zh.html",
    "en": "n25.html"
  },
  "protocol": "diskcover-minpoly-v1",
  "protocol_url": "protocol.txt",
  "fingerprint_script_url": "diskcover_answer.py",
  "report_prompt_url": "report-prompt.txt",
  "reference_sha256": "2cf89430e0f746fabd1f84298f3449cb9f755a8c3d41a198b2881dd042d06e12",
  "reference_status": "published",
  "reference_note": "n=25 全局最优性证明已于 2026-09-26 获项目本地数学复核接受。此指纹核对最优半径的答案数据，不验证提交者的覆盖或全局下界证明。",
  "reference_time_seconds": "21600",
  "scoring_version": "diskcover-log-score-v1",
  "score_formula": "round_half_up(200 + 100 * log2(reference_time_seconds / elapsed_seconds))",
  "score_rounding": "decimal_ROUND_HALF_UP_integer",
  "score_direction": "higher_is_better",
  "time_limit_seconds": "43200",
  "deadline_inclusive": true,
  "timeout_score": "0",
  "late_completion_score": "0",
  "not_tested_score": null,
  "scoring_rule": "本题时限为12小时（43200秒）。超过12小时仍未取得符合本题验收要求的有效结果，计0分；超时后完成仍计0分。12小时内完成（含截止时刻），按 S = round(200 + 100 × log₂(参考用时 / 实际用时))计分，越高越好。未测试不计作0分。",
  "scoring_status": "demo_reference_not_frozen",
  "public_record_submissions": "closed",
  "answer_disclosure": "fingerprint_only",
  "configuration": {
    "image": "assets/n25.svg",
    "caption": "覆盖示意图：非最优构型，仅作展示"
  },
  "records_note": null,
  "records": [
    {
      "model": "gpt-6.1 sol/max",
      "model_id": "gpt-6.1-sol",
      "reasoning_effort": "max",
      "elapsed_seconds": "17539",
      "score": "230",
      "runs": 1,
      "status": "reported",
      "report_url": "record-n25-sol-20261002.zh.html",
      "report_url_en": "record-n25-sol-20261002.html",
      "timing_scope": "goal_creation_to_completion_natural_interval",
      "model_identity_status": "original_turn_context_and_user_confirmation",
      "source_report": "record-n25-sol-20261002.zh.md",
      "verification_status": "written_geometric_review_and_full_exact_replay",
      "test_date_utc": "2026-10-02",
      "score_scope": "benchmark_score",
      "acceptance_status": "accepted_exact_computer_assisted_proof",
      "within_time_limit": true,
      "score_source": "elapsed_time_formula"
    },
    {
      "model": "gpt-6 astra/max",
      "model_id": "gpt-6-astra",
      "reasoning_effort": "max",
      "elapsed_seconds": "43200",
      "score": "0",
      "runs": 1,
      "status": "not_completed",
      "timing_scope": "fixed_deadline_observation_window_not_completion_time",
      "model_identity_status": "verified_from_original_thread_runtime_metadata",
      "verification_status": "no_complete_valid_result_by_deadline; post-test fingerprint matches reference; no complete valid proof submitted by deadline",
      "report_url": "record-n25-astra-20261002.zh.html",
      "report_url_en": "record-n25-astra-20261002.html",
      "test_date_utc": "2026-10-02",
      "score_scope": "benchmark_failure_score",
      "acceptance_status": "failed_no_complete_valid_result_by_deadline",
      "within_time_limit": true,
      "score_source": "not_completed_zero"
    }
  ],
  "best_recorded_run": {
    "run_id": "single32-n25",
    "elapsed_seconds": "189.333344023",
    "score": "883",
    "logical_cores": 32,
    "proof_engine": "DGC v62-G",
    "minpoly_engine": "MinPoly v15",
    "sha256": "2cf89430e0f746fabd1f84298f3449cb9f755a8c3d41a198b2881dd042d06e12",
    "hash_matches": true,
    "score_scope": "benchmark_score",
    "label": "DGC v62-G · MinPoly v15",
    "report_url": "record-n25-algorithm-run-20261001.zh.html",
    "report_url_en": "record-n25-algorithm-run-20261001.html",
    "note": "本例全局最优性证明已获项目本地复核接受；本运行分数和指纹匹配本身不验证证明。",
    "note_en": "The global optimality proof was accepted by local project review; this run’s score and fingerprint match do not themselves verify a proof."
  }
}