{
  "method": "Original independent reproducible simulation of standard board sizes; mine positions drawn pseudo-randomly without replacement excluding a 3x3 protected area around a center first click. Separate xorshift32 streams from mixed 32-bit seeds. This is not a measurement of live players or of the production seed-based board generator; not a win-rate study.",
  "generated_at": "2026-10-30",
  "settings": {
    "beginner": {
      "key": "beginner",
      "cols": 9,
      "rows": 9,
      "mines": 10,
      "samples": 100000,
      "seedSalt": 1400536337,
      "safe_cells_per_board": 71,
      "mine_density_pct": 12.345679012345679,
      "boards_with_7_or_8": 1,
      "boards_with_8": 0,
      "boards_with_8_pct": 0,
      "highest_counts": [
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        66598,
        22674,
        1988,
        79,
        1,
        0
      ],
      "number_counts": [
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        1095816,
        229313,
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      "number_share_of_safe_pct": [
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        0.39812676056338026,
        0.028788732394366197,
        0.0011126760563380282,
        1.4084507042253522e-05,
        0
      ],
      "zero_share_of_safe_pct": 41.81630985915493,
      "three_bv_median": 14,
      "three_bv_mean": 14.24744,
      "openings_median": 2,
      "openings_mean": 2.4593,
      "first_click_open_median": 48,
      "first_click_open_mean": 45.9236,
      "first_click_open_p90": 59
    },
    "intermediate": {
      "key": "intermediate",
      "cols": 16,
      "rows": 16,
      "mines": 40,
      "samples": 100000,
      "seedSalt": 480554643,
      "safe_cells_per_board": 216,
      "mine_density_pct": 15.625,
      "boards_with_7_or_8": 198,
      "boards_with_8": 4,
      "boards_with_8_pct": 0.004,
      "highest_counts": [
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        59402,
        33872,
        3814,
        194,
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      ],
      "number_counts": [
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        1621721,
        344832,
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      "number_share_of_safe_pct": [
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        22.30748148148148,
        7.507967592592593,
        1.5964444444444446,
        0.21563888888888888,
        0.018425925925925925,
        0.0008981481481481481,
        1.8518518518518518e-05
      ],
      "zero_share_of_safe_pct": 29.89964351851852,
      "three_bv_median": 63,
      "three_bv_mean": 63.09111,
      "openings_median": 7,
      "openings_mean": 6.98628,
      "first_click_open_median": 64,
      "first_click_open_mean": 64.48613,
      "first_click_open_p90": 108
    },
    "expert": {
      "key": "expert",
      "cols": 30,
      "rows": 16,
      "mines": 99,
      "samples": 150000,
      "seedSalt": 1809603138,
      "safe_cells_per_board": 381,
      "mine_density_pct": 20.625,
      "boards_with_7_or_8": 4465,
      "boards_with_8": 151,
      "boards_with_8_pct": 0.10066666666666667,
      "highest_counts": [
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        47015,
        4314,
        151
      ],
      "number_counts": [
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        19529005,
        16091911,
        7782679,
        2397114,
        480815,
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      ],
      "number_share_of_safe_pct": [
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        34.17148731408574,
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        13.617986001749781,
        4.194425196850394,
        0.8413210848643919,
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      "zero_share_of_safe_pct": 18.903753280839894,
      "three_bv_median": 170,
      "three_bv_mean": 170.39649333333332,
      "openings_median": 13,
      "openings_mean": 13.160393333333333,
      "first_click_open_median": 35,
      "first_click_open_mean": 40.34484,
      "first_click_open_p90": 76
    }
  }
}