{
  "stochastic": {
    "absorbing_rewards": [
      1,
      -1
    ],
    "probabilities": [
      "1/2",
      "1/2"
    ],
    "expected_liminf": "0",
    "probability_nonnegative": "1/2"
  },
  "parity": {
    "vertices": [
      {
        "name": "a",
        "priority": 1,
        "reward": 0
      },
      {
        "name": "b",
        "priority": 0,
        "reward": -1
      }
    ],
    "edges": [
      [
        "a",
        "a"
      ],
      [
        "a",
        "b"
      ],
      [
        "b",
        "a"
      ]
    ],
    "growing_rounds": [
      {
        "rounds": 1,
        "total_reward": -1,
        "steps": 3,
        "mean": "-1/3"
      },
      {
        "rounds": 10,
        "total_reward": -10,
        "steps": 75,
        "mean": "-2/15"
      },
      {
        "rounds": 100,
        "total_reward": -100,
        "steps": 5250,
        "mean": "-2/105"
      },
      {
        "rounds": 1000,
        "total_reward": -1000,
        "steps": 502500,
        "mean": "-2/1005"
      }
    ],
    "statement": "Increasing zero-reward loops make average approach zero while visiting b infinitely; every deterministic finite-memory winning-parity play would be ultimately periodic with negative average."
  },
  "schedules": [
    {
      "randomized": {
        "transformed_W": "1",
        "B_star": "8",
        "g": 5,
        "s": 1048576,
        "J": "170141183460469231731687303715884105729",
        "basic_threshold": 134217728,
        "root_uses_basic": true,
        "warning": "J is used only when a wrapper is reached; no universal runtime lower bound"
      },
      "deterministic": {
        "initial_width": "256",
        "mass_budget": 1,
        "call_count_upper_bound": "369200",
        "warning": "Upper bound, not measured calls or a lower bound"
      }
    },
    {
      "randomized": {
        "transformed_W": "2097153",
        "B_star": "16777224",
        "g": 26,
        "s": 4194304,
        "J": "696898287454081973172991196020261297061889",
        "basic_threshold": 536870912,
        "root_uses_basic": true,
        "warning": "J is used only when a wrapper is reached; no universal runtime lower bound"
      },
      "deterministic": {
        "initial_width": "536870912",
        "mass_budget": 1,
        "call_count_upper_bound": "3814922",
        "warning": "Upper bound, not measured calls or a lower bound"
      }
    },
    {
      "randomized": {
        "transformed_W": "36893488147419103233",
        "B_star": "295147905179352825864",
        "g": 70,
        "s": 16777216,
        "J": "2854495385411919762116571938898990272765493249",
        "basic_threshold": 2147483648,
        "root_uses_basic": false,
        "warning": "J is used only when a wrapper is reached; no universal runtime lower bound"
      },
      "deterministic": {
        "initial_width": "9444732965739290427392",
        "mass_budget": 1,
        "call_count_upper_bound": "22766250",
        "warning": "Upper bound, not measured calls or a lower bound"
      }
    }
  ]
}