{
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      "sharp_bound": "1",
      "simple_product_bound": "1",
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      "scope": "All-time failure H<threshold, including crossings followed by recovery; sufficient comparison bound, not the exact risk."
    },
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      "scope": "All-time failure H<threshold, including crossings followed by recovery; sufficient comparison bound, not the exact risk."
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      "scope": "All-time failure H<threshold, including crossings followed by recovery; sufficient comparison bound, not the exact risk."
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      "scope": "All-time failure H<threshold, including crossings followed by recovery; sufficient comparison bound, not the exact risk."
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      "scope": "All-time failure H<threshold, including crossings followed by recovery; sufficient comparison bound, not the exact risk."
    },
    "278": {
      "initial": 278,
      "anchor": 278,
      "initial_term": "0",
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      "simple_product_bound": "18018852525815130501545443455943884144542672086777142436145811882585768242112247815984455234430157624680110738625152503632919130650015231481/2597072351351293522037623055229093436234933672162127694368645984542771791061670353005950342303503538834062898021833028568739538340568542480468750",
      "denominator": "204631151428777230546781997983582593277305780005478789022893117147071210471563948389270373239067594092952073503620209690393209416017729482294314211/78762121491890138086522822838584142757088533912116890803761845494860788136197566342071366744768070959549398434553045302775591817310333251953125000",
      "scope": "All-time failure H<threshold, including crossings followed by recovery; sufficient comparison bound, not the exact risk."
    },
    "400": {
      "initial": 400,
      "anchor": 278,
      "initial_term": "0",
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      "sharp_bound": "30055446013059637676577799684514398753097177040744273583491214220153061427843229357062071331029502917966424712026754376059709109924225406110308/11254713328582747680073009889097042630251817900301333396259121443088916575936017161409870528148717675112364042699111532971626517880975121526187281605",
      "simple_product_bound": "18018852525815130501545443455943884144542672086777142436145811882585768242112247815984455234430157624680110738625152503632919130650015231481/2597072351351293522037623055229093436234933672162127694368645984542771791061670353005950342303503538834062898021833028568739538340568542480468750",
      "denominator": "204631151428777230546781997983582593277305780005478789022893117147071210471563948389270373239067594092952073503620209690393209416017729482294314211/78762121491890138086522822838584142757088533912116890803761845494860788136197566342071366744768070959549398434553045302775591817310333251953125000",
      "scope": "All-time failure H<threshold, including crossings followed by recovery; sufficient comparison bound, not the exact risk."
    }
  },
  "random_preparation": {
    "199": "1/100",
    "279": "99/100"
  },
  "random_bound": "1023426256158003689472999190115073595975306774620760643576717006663337429910670331010565424837317235991022065340509289241350584462077965440126563827/102315575714388615273390998991791296638652890002739394511446558573535605235781974194635186619533797046476036751810104845196604708008864741147157105500",
  "published_joint_bound": {
    "target_upper": "107/12500",
    "reserve_loss_upper": "18018852525815130501545443455943884144542672086777142436145811882585768242112247815984455234430157624680110738625152503632919130650015231481/2597072351351293522037623055229093436234933672162127694368645984542771791061670353005950342303503538834062898021833028568739538340568542480468750",
    "target_passes": true,
    "reserve_passes": true,
    "joint_success_lower": "5149646786342401268716958912865752905073236194512666208324828458206406157523880685072806845836302236768037279008055025383374989946485251483208913/5194144702702587044075246110458186872469867344324255388737291969085543582123340706011900684607007077668125796043666057137479076681137084960937500",
    "scope": "Union bound on two different failure events. No independence or multiplication of success probabilities."
  },
  "scope": "An initial count below threshold is already a failure. A high mean preparation does not eliminate its low-count tail. Published target coarsening is 0.00856; the fresh exponential series gives a stronger bound."
}