{
  "generatedAt": "2026-08-29T02:06:58.133Z",
  "step": 1549,
  "version": "v0.2",
  "source": "STEP 1536 tool-schema-registry + STEP 1549 exhaustiveUniqueCatalog (hideCount=[1,2]) + difficulty scoring",
  "dispatchSupport": [
    "wa_ga_verdict",
    "peace_axiom_verdict",
    "pid_tuning_verdict",
    "homeostasis_verdict",
    "combinatorial_bound",
    "nash_equilibrium_verdict",
    "pareto_frontier_verdict",
    "evolution_verdict",
    "bootstrap_ci",
    "ab_test_verdict",
    "bayes_posterior",
    "graph_verdict",
    "lyapunov_verdict",
    "dual_process_verdict",
    "metacognition_depth_lens",
    "syntax_verdict",
    "shannon_entropy_verdict",
    "hamming_distance_gate",
    "halting_diagnostic_lens",
    "disk_health_verdict"
  ],
  "totalPuzzles": 532,
  "summary": {
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      "peace_axiom_verdict": 70,
      "homeostasis_verdict": 47,
      "ab_test_verdict": 260,
      "combinatorial_bound": 10,
      "pid_tuning_verdict": 75,
      "wa_ga_verdict": 48,
      "hamming_distance_gate": 4,
      "disk_health_verdict": 14,
      "halting_diagnostic_lens": 4
    },
    "byDomain": {
      "economics": 70,
      "biology": 47,
      "data_science": 260,
      "discrete_math": 10,
      "control": 75,
      "language": 48,
      "information": 22
    },
    "byVerdict": {
      "TRUE": 88,
      "NEITHER": 160,
      "FALSE": 36,
      "ZERO": 137,
      "INFINITY": 31,
      "BOTH": 65,
      "SELF": 15
    },
    "byHideCount": {
      "1": 351,
      "2": 181
    },
    "byDifficultyBin": {
      "medium": 152,
      "easy": 99,
      "hard": 120,
      "expert": 161
    }
  },
  "schemaDescriptions": [
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      "name": "peace_axiom_verdict",
      "step": 1506,
      "domain": "economics",
      "description": "Peace Axiom #196 (Rei 核 immutable) 7 predicate → 6 verdict",
      "inputFields": [
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          "name": "sacred",
          "type": "boolean",
          "required": true,
          "hidable": true,
          "enumDomain": [
            true,
            false
          ]
        },
        {
          "name": "beauty",
          "type": "boolean",
          "required": true,
          "hidable": true,
          "enumDomain": [
            true,
            false
          ]
        },
        {
          "name": "immutable",
          "type": "boolean",
          "required": true,
          "hidable": true,
          "enumDomain": [
            true,
            false
          ]
        },
        {
          "name": "nonViolating",
          "type": "boolean",
          "required": true,
          "hidable": true,
          "enumDomain": [
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            false
          ]
        },
        {
          "name": "coexisting",
          "type": "boolean",
          "required": true,
          "hidable": true,
          "enumDomain": [
            true,
            false
          ]
        },
        {
          "name": "welfare",
          "type": "boolean",
          "required": true,
          "hidable": true,
          "enumDomain": [
            true,
            false
          ]
        },
        {
          "name": "aiRestraint",
          "type": "boolean",
          "required": true,
          "hidable": true,
          "enumDomain": [
            true,
            false
          ]
        }
      ],
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        "FALSE",
        "BOTH",
        "NEITHER",
        "ZERO"
      ]
    },
    {
      "name": "nash_equilibrium_verdict",
      "step": 1520,
      "domain": "economics",
      "description": "2-player payoff matrix → Nash equilibrium (SELF⟲ operational tool)",
      "inputFields": [
        {
          "name": "aPayoffs",
          "type": "nested_array_number",
          "required": true,
          "hidable": false
        },
        {
          "name": "bPayoffs",
          "type": "nested_array_number",
          "required": true,
          "hidable": false
        }
      ],
      "outputPossibleVerdicts": [
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        "NEITHER",
        "SELF"
      ]
    },
    {
      "name": "pareto_frontier_verdict",
      "step": 1522,
      "domain": "economics",
      "description": "Allocation set + query index → Pareto verdict 4 case",
      "inputFields": [
        {
          "name": "allocations",
          "type": "nested_array_number",
          "required": true,
          "hidable": false
        },
        {
          "name": "queryIndex",
          "type": "integer",
          "required": true,
          "hidable": true,
          "enumDomain": [
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            1,
            2
          ]
        }
      ],
      "outputPossibleVerdicts": [
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        "FALSE",
        "BOTH",
        "NEITHER"
      ]
    },
    {
      "name": "evolution_verdict",
      "step": 1514,
      "domain": "biology",
      "description": "Population 時系列 + explosion ratio → 進化 verdict 8 case (SELF fixpoint 含)",
      "inputFields": [
        {
          "name": "populations",
          "type": "array_number",
          "required": true,
          "hidable": false
        },
        {
          "name": "explosionRatio",
          "type": "number",
          "required": false,
          "hidable": true,
          "enumDomain": [
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            2,
            3,
            5
          ]
        }
      ],
      "outputPossibleVerdicts": [
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        "FALSE",
        "BOTH",
        "NEITHER",
        "ZERO",
        "INFINITY",
        "SELF"
      ]
    },
    {
      "name": "homeostasis_verdict",
      "step": 1521,
      "domain": "biology",
      "description": "Concentration + range → 6 case (in-range TRUE / depleted ZERO / etc)",
      "inputFields": [
        {
          "name": "concentration",
          "type": "number",
          "required": true,
          "hidable": true,
          "enumDomain": [
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            0.5,
            1,
            2,
            5,
            10
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        },
        {
          "name": "minVal",
          "type": "number",
          "required": true,
          "hidable": true,
          "enumDomain": [
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            2,
            5
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        },
        {
          "name": "maxVal",
          "type": "number",
          "required": true,
          "hidable": true,
          "enumDomain": [
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            6,
            10
          ]
        }
      ],
      "outputPossibleVerdicts": [
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        "FALSE",
        "NEITHER",
        "ZERO",
        "INFINITY"
      ]
    },
    {
      "name": "bootstrap_ci",
      "step": 1518,
      "domain": "data_science",
      "description": "LCG deterministic bootstrap → 95% CI verdict 3 case",
      "inputFields": [
        {
          "name": "sample",
          "type": "array_number",
          "required": true,
          "hidable": false
        },
        {
          "name": "seed",
          "type": "integer",
          "required": false,
          "hidable": true,
          "enumDomain": [
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            123,
            999
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        },
        {
          "name": "confidence",
          "type": "number",
          "required": false,
          "hidable": true,
          "enumDomain": [
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          ]
        }
      ],
      "outputPossibleVerdicts": [
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        "BOTH",
        "NEITHER"
      ]
    },
    {
      "name": "ab_test_verdict",
      "step": 1519,
      "domain": "data_science",
      "description": "2 群 successes/trials → z-test + Cohen h → 4 case (BOTH significant_but_small 含)",
      "inputFields": [
        {
          "name": "aSuccesses",
          "type": "integer",
          "required": true,
          "hidable": true,
          "enumDomain": [
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            30,
            50,
            100
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        },
        {
          "name": "aTrials",
          "type": "integer",
          "required": true,
          "hidable": true,
          "enumDomain": [
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            200,
            500
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        },
        {
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          "type": "integer",
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          "hidable": true,
          "enumDomain": [
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            30,
            50,
            100
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        },
        {
          "name": "bTrials",
          "type": "integer",
          "required": true,
          "hidable": true,
          "enumDomain": [
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            200,
            500
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        },
        {
          "name": "alpha",
          "type": "number",
          "required": false,
          "hidable": true,
          "enumDomain": [
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            0.05,
            0.1
          ]
        }
      ],
      "outputPossibleVerdicts": [
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        "BOTH",
        "NEITHER",
        "ZERO"
      ]
    },
    {
      "name": "bayes_posterior",
      "step": 1528,
      "domain": "data_science",
      "description": "Beta-Binomial conjugate posterior → 7 case",
      "inputFields": [
        {
          "name": "priorAlpha",
          "type": "number",
          "required": true,
          "hidable": true,
          "enumDomain": [
            1,
            2,
            5,
            10
          ]
        },
        {
          "name": "priorBeta",
          "type": "number",
          "required": true,
          "hidable": true,
          "enumDomain": [
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        },
        {
          "name": "successes",
          "type": "integer",
          "required": true,
          "hidable": true
        },
        {
          "name": "trials",
          "type": "integer",
          "required": true,
          "hidable": true
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      ],
      "outputPossibleVerdicts": [
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        "FALSE",
        "BOTH",
        "NEITHER"
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    },
    {
      "name": "combinatorial_bound",
      "step": 1517,
      "domain": "discrete_math",
      "description": "C(n,k) / P(n,k) / n! → feasibility 6 case (INFINITY explosion 含)",
      "inputFields": [
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          "name": "fn",
          "type": "string",
          "required": true,
          "hidable": false,
          "enumDomain": [
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          ]
        },
        {
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          "type": "integer",
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          "type": "integer",
          "required": false,
          "hidable": true,
          "enumDomain": [
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            5,
            10,
            20
          ]
        }
      ],
      "outputPossibleVerdicts": [
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        "NEITHER",
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        "INFINITY"
      ]
    },
    {
      "name": "graph_verdict",
      "step": 1523,
      "domain": "discrete_math",
      "description": "Adjacency list → 7 verdict (self-loop SELF、 tree TRUE、 cyclic BOTH、 disconnected acyclic NEITHER)",
      "inputFields": [
        {
          "name": "numVertices",
          "type": "integer",
          "required": true,
          "hidable": false
        },
        {
          "name": "edges",
          "type": "nested_array_number",
          "required": true,
          "hidable": false
        },
        {
          "name": "directed",
          "type": "boolean",
          "required": false,
          "hidable": true,
          "enumDomain": [
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        }
      ],
      "outputPossibleVerdicts": [
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        "BOTH",
        "NEITHER",
        "ZERO",
        "SELF"
      ]
    },
    {
      "name": "lyapunov_verdict",
      "step": 1509,
      "domain": "control",
      "description": "V(t) 時系列 → 8 case (all zero ZERO / stationary SELF / decreasing TRUE / increasing FALSE)",
      "inputFields": [
        {
          "name": "series",
          "type": "array_number",
          "required": true,
          "hidable": true
        }
      ],
      "outputPossibleVerdicts": [
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        "FALSE",
        "BOTH",
        "NEITHER",
        "ZERO",
        "SELF"
      ]
    },
    {
      "name": "pid_tuning_verdict",
      "step": 1531,
      "domain": "control",
      "description": "PID Kp/Ki/Kd → damping ratio ζ → 6 case (SELF oscillation 含、 全 7 verdict 使用)",
      "inputFields": [
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          "name": "Kp",
          "type": "number",
          "required": true,
          "hidable": true,
          "enumDomain": [
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            2,
            5,
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        {
          "name": "Ki",
          "type": "number",
          "required": true,
          "hidable": true,
          "enumDomain": [
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        {
          "name": "Kd",
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          "required": true,
          "hidable": true,
          "enumDomain": [
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      "outputPossibleVerdicts": [
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        "INFINITY",
        "SELF"
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    },
    {
      "name": "dual_process_verdict",
      "step": 1515,
      "domain": "cognitive",
      "description": "System 1 vs System 2 → 5 case (両 disagree BOTH conflict)",
      "inputFields": [
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          "required": false,
          "hidable": true
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          "hidable": true
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      ],
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    },
    {
      "name": "metacognition_depth_lens",
      "step": 1529,
      "domain": "cognitive",
      "description": "思考 log → self-reference marker → SELF verdict (depth ≥ 1)",
      "inputFields": [
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          "name": "thoughtLog",
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          "required": true,
          "hidable": true
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      "outputPossibleVerdicts": [
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        "NEITHER",
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      "name": "wa_ga_verdict",
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      "domain": "language",
      "description": "「は/が」 4 field (context/contrast/exclusive) → 7 case (全 false NEITHER 核)",
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    {
      "name": "syntax_verdict",
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      "domain": "language",
      "description": "Balanced brackets 6 case (mismatched FALSE / 3+ consec NEITHER / balanced TRUE)",
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    {
      "name": "shannon_entropy_verdict",
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      "description": "Frequency distribution → Shannon entropy → verdict via 3 thresholds",
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      "name": "disk_health_verdict",
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      "description": "S.M.A.R.T. attribute → disk health verdict 5 case (窓の社 CrystalDiskInfo pattern adaptation)",
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  ],
  "honestScope": [
    "v0.2 = 19 tool dispatch (STEP 1546) + hideCount=[1,2] multi-field hide (STEP 1549) + difficulty scoring",
    "exhaustive enumeration = 全 hideCount ∈ [1,2] × 全 field subset × 全 verdict で UNIQUE を 抽出",
    "difficulty = hideCount × log2(cartesianSize+1) × verdictRarity (rarity = -log2 freq、 clamped [0.5, 8])",
    "difficulty bin (easy < 2 / medium < 5 / hard < 10 / expert ≥ 10) は 現 catalog の 分布 で 調整、 catalog 変化時 再 tune 候補",
    "各 puzzle の solution field は enumeration 実行時の 一意 completion (verifier で 一意性保証済)",
    "catalog は build-time 静的生成、 runtime dispatch なし = STEP 1537 client-inline generator と補完関係",
    "「puzzle catalog で 世界初」 主張ゼロ、 procedural content generation 特殊化、 novelty は uniqueness gate 経由 Rei stack 適用のみ"
  ]
}