{
  "presentation": {
    "theme": "vault-loot-1",
    "stableSymbolCodes": true,
    "labels": {
      "cherry": "Cash",
      "lemon": "Bonds",
      "bell": "Gold",
      "diamond": "Handgun",
      "crown": "Diamond"
    }
  },
  "version": "vault-reveal-fixed-1",
  "date": "2026-11-02",
  "method": "Exact without-replacement terminal-state dynamic programming, independently cross-checked by exhaustive enumeration of every aggregated full-board arrangement for each inventory. Distinct filler-label permutations have equal multiplicity and cannot form a triple; all their paths are included by aggregation.",
  "exact": {
    "rtp": {
      "fraction": "24/25",
      "decimal": 0.96
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    "hitFrequency": {
      "fraction": "56008749/100000000",
      "decimal": 0.56008749
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    "netWinFrequency": {
      "fraction": "56008749/100000000",
      "decimal": 0.56008749
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    "variance": {
      "fraction": "207709897/200000000",
      "decimal": 1.038549485
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    "sd": 1.0190924810830468,
    "maxGross": 10,
    "maxNet": 9,
    "maxProbability": {
      "fraction": "14479/6250000",
      "decimal": 0.00231664
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    "distribution": [
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        "symbol": "no-triple",
        "multiplier": {
          "fraction": "0/1",
          "decimal": 0
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        "probability": {
          "fraction": "43991251/100000000",
          "decimal": 0.43991251
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        "displayName": "No triple"
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      {
        "symbol": "cherry",
        "multiplier": {
          "fraction": "3/2",
          "decimal": 1.5
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        "probability": {
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          "decimal": 0.45277678
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        "displayName": "Cash"
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        "symbol": "lemon",
        "multiplier": {
          "fraction": "2/1",
          "decimal": 2
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        "probability": {
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        "displayName": "Bonds"
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        "symbol": "bell",
        "multiplier": {
          "fraction": "3/1",
          "decimal": 3
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        "probability": {
          "fraction": "2200029/100000000",
          "decimal": 0.02200029
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        "displayName": "Gold"
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        "symbol": "diamond",
        "multiplier": {
          "fraction": "5/1",
          "decimal": 5
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        "probability": {
          "fraction": "107/12500",
          "decimal": 0.00856
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        "displayName": "Handgun"
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        "symbol": "crown",
        "multiplier": {
          "fraction": "10/1",
          "decimal": 10
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          "fraction": "14479/6250000",
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        "displayName": "Diamond"
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    "modes": [
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        "keysInBoard": 0,
        "probability": {
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          "decimal": 0.83
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        "familyCounts": [
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        "totalFamilyTickets": 3700000000,
        "dominantFamilyWin": {
          "fraction": "37/42",
          "decimal": 0.8809523809523809
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        "enumeratedDominantArrangements": "84",
        "enumeratedDeadArrangements": "1",
        "terminalPaths": [
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            "terminal": "1:0:5",
            "probability": {
              "fraction": "2/7",
              "decimal": 0.2857142857142857
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          {
            "terminal": "0:0:5",
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              "fraction": "5/42",
              "decimal": 0.11904761904761904
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        "rtp": {
          "fraction": "24/25",
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        "firstFivePhysicalTileContribution": {
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        "extensionContribution": {
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        "totalFamilyTickets": 100000000,
        "dominantFamilyWin": {
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        "enumeratedDominantArrangements": "252",
        "enumeratedDeadArrangements": "9",
        "terminalPaths": [
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            "probability": {
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          {
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          {
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        "firstFivePhysicalTileContribution": {
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        "extensionContribution": {
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        "probability": {
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        "familyCounts": [
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        "totalFamilyTickets": 100000000,
        "dominantFamilyWin": {
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        "enumeratedDominantArrangements": "252",
        "enumeratedDeadArrangements": "36",
        "terminalPaths": [
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        "firstFivePhysicalTileContribution": {
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    "extensionContribution": {
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      "decimal": 0.019428571428571427
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    "foundKeyGroups": [
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        "keysFound": 0,
        "probability": {
          "fraction": "3993508749/4375000000",
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        "returnContribution": {
          "fraction": "3876/4375",
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        "conditionalMeanReturn": {
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      {
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        "conditionalMeanReturn": {
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        "probability": {
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        "returnContribution": {
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    "lossWithAnAvailableTriple": {
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    "bands": [
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        "band": "0",
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          "decimal": 0.43991251
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      },
      {
        "band": "(0,1)",
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        "band": "[1,2)",
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      {
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      {
        "band": "[3,5)",
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      {
        "band": "[5,10)",
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      },
      {
        "band": "[10,infinity)",
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    ]
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  "strategyProof": "The complete board is sampled and uniformly permuted once, before the first selection. Conditional on any revealed history, every unopened position is exchangeable. Therefore any adaptive choice of an unopened position has the same next-symbol distribution as sampling without replacement. The rules require completion until the first triple or exhaustion of picks, including server auto-completion. Induction over the finite tree proves identical return distributions for all position-selection policies. No hint, optional purchase or early cashout changes that tree. Layouts are correlated inventories, not independent symbol draws.",
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  ],
  "sources": [
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      "file": "supabase/functions/vault-reveal/hosted/vault-reveal/src/config/operator.json",
      "sha256": "2a95873cc3da3851988eecaa71c34abc48004d1aa0196ffeea748fa90d9d6d2b"
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      "file": "vault-reveal/public/en.json",
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}