{
  "game": "hive",
  "displayName": "Hive",
  "rtpPercent": 99.0,
  "rtpE8": 99000000,
  "engine": "uint32",
  "biasClass": "modulo",
  "params": [
    {
      "name": "difficulty",
      "desc": "colour count C: easy=2 / medium=3 / hard=4 / insane=5"
    }
  ],
  "cells": 9,
  "edges": [
    [
      0,
      1
    ],
    [
      1,
      2
    ],
    [
      0,
      3
    ],
    [
      1,
      4
    ],
    [
      2,
      5
    ],
    [
      3,
      4
    ],
    [
      4,
      5
    ],
    [
      3,
      6
    ],
    [
      4,
      7
    ],
    [
      5,
      8
    ],
    [
      6,
      7
    ],
    [
      7,
      8
    ]
  ],
  "difficulty": {
    "easy": {
      "C": 2,
      "tableE8": [
        0,
        0,
        17946890,
        44867225,
        62814115,
        101699044,
        191433494,
        538406703,
        1555397143
      ],
      "sizeCounts": [
        2,
        8,
        56,
        120,
        138,
        104,
        64,
        18,
        2
      ],
      "totalGrids": 512,
      "evE8": 98999999
    },
    "medium": {
      "C": 3,
      "tableE8": [
        0,
        5368534,
        30198007,
        70462016,
        147634701,
        335533411,
        872386870,
        3221120753,
        12750269650
      ],
      "sizeCounts": [
        246,
        3180,
        6624,
        5160,
        2832,
        1200,
        384,
        54,
        3
      ],
      "totalGrids": 19683,
      "evE8": 98999999
    },
    "hard": {
      "C": 4,
      "tableE8": [
        0,
        11592842,
        48303512,
        130419482,
        318803180,
        821159707,
        2511782635,
        9660702442,
        42507090748
      ],
      "sizeCounts": [
        9612,
        85728,
        95184,
        46992,
        18036,
        5328,
        1152,
        108,
        4
      ],
      "totalGrids": 262144,
      "evE8": 98999999
    },
    "insane": {
      "C": 5,
      "tableE8": [
        0,
        17174883,
        70989519,
        217548527,
        595395968,
        1602989146,
        5037965888,
        20037364330,
        100759317777
      ],
      "sizeCounts": [
        142820,
        859400,
        631280,
        232080,
        69120,
        15680,
        2560,
        180,
        5
      ],
      "totalGrids": 1953125,
      "evE8": 98999999
    }
  },
  "ladderIndex": "tableE8[size - 1], size = 1..9",
  "note": "cell_i colour = u_i mod C (C = 2/3/4/5 by difficulty); flood-fill the 3×3 comb over the 12 undirected edges and take the SIZE of the largest same-colour cluster (ties keep the lowest-rooted one); multiplier_e8 = tableE8[size−1], the published ladder — an exact-rational rescale of the frozen base shape against the exact size distribution (sizeCounts over C^9 grids) so EV == rtp before a single floor. Small sizes are baked 0 = loss."
}