{
  "authored_points": [
    [
      0,
      0
    ],
    [
      1,
      1
    ],
    [
      2,
      2
    ],
    [
      3,
      3
    ],
    [
      4,
      4
    ],
    [
      2,
      20
    ]
  ],
  "pair_enumeration_consensus": {
    "threshold": "1/4",
    "all_pair_candidates": [
      {
        "pair": [
          0,
          1
        ],
        "status": "valid",
        "slope": "1",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "0",
          "0",
          "0",
          "0",
          "18"
        ],
        "inlier_indices": [
          0,
          1,
          2,
          3,
          4
        ],
        "inlier_count": 5,
        "inlier_squared_residual_sum": "0"
      },
      {
        "pair": [
          0,
          2
        ],
        "status": "valid",
        "slope": "1",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "0",
          "0",
          "0",
          "0",
          "18"
        ],
        "inlier_indices": [
          0,
          1,
          2,
          3,
          4
        ],
        "inlier_count": 5,
        "inlier_squared_residual_sum": "0"
      },
      {
        "pair": [
          0,
          3
        ],
        "status": "valid",
        "slope": "1",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "0",
          "0",
          "0",
          "0",
          "18"
        ],
        "inlier_indices": [
          0,
          1,
          2,
          3,
          4
        ],
        "inlier_count": 5,
        "inlier_squared_residual_sum": "0"
      },
      {
        "pair": [
          0,
          4
        ],
        "status": "valid",
        "slope": "1",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "0",
          "0",
          "0",
          "0",
          "18"
        ],
        "inlier_indices": [
          0,
          1,
          2,
          3,
          4
        ],
        "inlier_count": 5,
        "inlier_squared_residual_sum": "0"
      },
      {
        "pair": [
          0,
          5
        ],
        "status": "valid",
        "slope": "10",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "9",
          "18",
          "27",
          "36",
          "0"
        ],
        "inlier_indices": [
          0,
          5
        ],
        "inlier_count": 2,
        "inlier_squared_residual_sum": "0"
      },
      {
        "pair": [
          1,
          2
        ],
        "status": "valid",
        "slope": "1",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "0",
          "0",
          "0",
          "0",
          "18"
        ],
        "inlier_indices": [
          0,
          1,
          2,
          3,
          4
        ],
        "inlier_count": 5,
        "inlier_squared_residual_sum": "0"
      },
      {
        "pair": [
          1,
          3
        ],
        "status": "valid",
        "slope": "1",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "0",
          "0",
          "0",
          "0",
          "18"
        ],
        "inlier_indices": [
          0,
          1,
          2,
          3,
          4
        ],
        "inlier_count": 5,
        "inlier_squared_residual_sum": "0"
      },
      {
        "pair": [
          1,
          4
        ],
        "status": "valid",
        "slope": "1",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "0",
          "0",
          "0",
          "0",
          "18"
        ],
        "inlier_indices": [
          0,
          1,
          2,
          3,
          4
        ],
        "inlier_count": 5,
        "inlier_squared_residual_sum": "0"
      },
      {
        "pair": [
          1,
          5
        ],
        "status": "valid",
        "slope": "19",
        "intercept": "-18",
        "absolute_vertical_residuals": [
          "18",
          "0",
          "18",
          "36",
          "54",
          "0"
        ],
        "inlier_indices": [
          1,
          5
        ],
        "inlier_count": 2,
        "inlier_squared_residual_sum": "0"
      },
      {
        "pair": [
          2,
          3
        ],
        "status": "valid",
        "slope": "1",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "0",
          "0",
          "0",
          "0",
          "18"
        ],
        "inlier_indices": [
          0,
          1,
          2,
          3,
          4
        ],
        "inlier_count": 5,
        "inlier_squared_residual_sum": "0"
      },
      {
        "pair": [
          2,
          4
        ],
        "status": "valid",
        "slope": "1",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "0",
          "0",
          "0",
          "0",
          "18"
        ],
        "inlier_indices": [
          0,
          1,
          2,
          3,
          4
        ],
        "inlier_count": 5,
        "inlier_squared_residual_sum": "0"
      },
      {
        "pair": [
          2,
          5
        ],
        "status": "vertical_pair_skipped"
      },
      {
        "pair": [
          3,
          4
        ],
        "status": "valid",
        "slope": "1",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "0",
          "0",
          "0",
          "0",
          "18"
        ],
        "inlier_indices": [
          0,
          1,
          2,
          3,
          4
        ],
        "inlier_count": 5,
        "inlier_squared_residual_sum": "0"
      },
      {
        "pair": [
          3,
          5
        ],
        "status": "valid",
        "slope": "-17",
        "intercept": "54",
        "absolute_vertical_residuals": [
          "54",
          "36",
          "18",
          "0",
          "18",
          "0"
        ],
        "inlier_indices": [
          3,
          5
        ],
        "inlier_count": 2,
        "inlier_squared_residual_sum": "0"
      },
      {
        "pair": [
          4,
          5
        ],
        "status": "valid",
        "slope": "-8",
        "intercept": "36",
        "absolute_vertical_residuals": [
          "36",
          "27",
          "18",
          "9",
          "0",
          "0"
        ],
        "inlier_indices": [
          4,
          5
        ],
        "inlier_count": 2,
        "inlier_squared_residual_sum": "0"
      }
    ],
    "selected_candidate": {
      "pair": [
        0,
        1
      ],
      "status": "valid",
      "slope": "1",
      "intercept": "0",
      "absolute_vertical_residuals": [
        "0",
        "0",
        "0",
        "0",
        "0",
        "18"
      ],
      "inlier_indices": [
        0,
        1,
        2,
        3,
        4
      ],
      "inlier_count": 5,
      "inlier_squared_residual_sum": "0"
    },
    "refit_slope": "1",
    "refit_intercept": "0",
    "refit_consensus_original_indices": [
      0,
      1,
      2,
      3,
      4
    ],
    "refit_residuals_all_points": [
      "0",
      "0",
      "0",
      "0",
      "0",
      "18"
    ]
  },
  "all_points_OLS": {
    "slope": "1",
    "intercept": "3",
    "SSE": "270"
  },
  "threshold_equal_is_inlier": {
    "threshold": "1/4",
    "all_pair_candidates": [
      {
        "pair": [
          0,
          1
        ],
        "status": "valid",
        "slope": "1",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "0",
          "1/4"
        ],
        "inlier_indices": [
          0,
          1,
          2
        ],
        "inlier_count": 3,
        "inlier_squared_residual_sum": "1/16"
      },
      {
        "pair": [
          0,
          2
        ],
        "status": "valid",
        "slope": "9/8",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "1/8",
          "0"
        ],
        "inlier_indices": [
          0,
          1,
          2
        ],
        "inlier_count": 3,
        "inlier_squared_residual_sum": "1/64"
      },
      {
        "pair": [
          1,
          2
        ],
        "status": "valid",
        "slope": "5/4",
        "intercept": "-1/4",
        "absolute_vertical_residuals": [
          "1/4",
          "0",
          "0"
        ],
        "inlier_indices": [
          0,
          1,
          2
        ],
        "inlier_count": 3,
        "inlier_squared_residual_sum": "1/16"
      }
    ],
    "selected_candidate": {
      "pair": [
        0,
        2
      ],
      "status": "valid",
      "slope": "9/8",
      "intercept": "0",
      "absolute_vertical_residuals": [
        "0",
        "1/8",
        "0"
      ],
      "inlier_indices": [
        0,
        1,
        2
      ],
      "inlier_count": 3,
      "inlier_squared_residual_sum": "1/64"
    },
    "refit_slope": "9/8",
    "refit_intercept": "-1/24",
    "refit_consensus_original_indices": [
      0,
      1,
      2
    ],
    "refit_residuals_all_points": [
      "1/24",
      "-1/12",
      "1/24"
    ]
  },
  "competing_lines_deterministic_tie": {
    "threshold": "0",
    "all_pair_candidates": [
      {
        "pair": [
          0,
          1
        ],
        "status": "valid",
        "slope": "1",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "0",
          "0",
          "10",
          "9",
          "8"
        ],
        "inlier_indices": [
          0,
          1,
          2
        ],
        "inlier_count": 3,
        "inlier_squared_residual_sum": "0"
      },
      {
        "pair": [
          0,
          2
        ],
        "status": "valid",
        "slope": "1",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "0",
          "0",
          "10",
          "9",
          "8"
        ],
        "inlier_indices": [
          0,
          1,
          2
        ],
        "inlier_count": 3,
        "inlier_squared_residual_sum": "0"
      },
      {
        "pair": [
          0,
          3
        ],
        "status": "vertical_pair_skipped"
      },
      {
        "pair": [
          0,
          4
        ],
        "status": "valid",
        "slope": "10",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "9",
          "18",
          "10",
          "0",
          "10"
        ],
        "inlier_indices": [
          0,
          4
        ],
        "inlier_count": 2,
        "inlier_squared_residual_sum": "0"
      },
      {
        "pair": [
          0,
          5
        ],
        "status": "valid",
        "slope": "5",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "4",
          "8",
          "10",
          "5",
          "0"
        ],
        "inlier_indices": [
          0,
          5
        ],
        "inlier_count": 2,
        "inlier_squared_residual_sum": "0"
      },
      {
        "pair": [
          1,
          2
        ],
        "status": "valid",
        "slope": "1",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "0",
          "0",
          "10",
          "9",
          "8"
        ],
        "inlier_indices": [
          0,
          1,
          2
        ],
        "inlier_count": 3,
        "inlier_squared_residual_sum": "0"
      },
      {
        "pair": [
          1,
          3
        ],
        "status": "valid",
        "slope": "-9",
        "intercept": "10",
        "absolute_vertical_residuals": [
          "10",
          "0",
          "10",
          "0",
          "9",
          "18"
        ],
        "inlier_indices": [
          1,
          3
        ],
        "inlier_count": 2,
        "inlier_squared_residual_sum": "0"
      },
      {
        "pair": [
          1,
          4
        ],
        "status": "vertical_pair_skipped"
      },
      {
        "pair": [
          1,
          5
        ],
        "status": "valid",
        "slope": "9",
        "intercept": "-8",
        "absolute_vertical_residuals": [
          "8",
          "0",
          "8",
          "18",
          "9",
          "0"
        ],
        "inlier_indices": [
          1,
          5
        ],
        "inlier_count": 2,
        "inlier_squared_residual_sum": "0"
      },
      {
        "pair": [
          2,
          3
        ],
        "status": "valid",
        "slope": "-4",
        "intercept": "10",
        "absolute_vertical_residuals": [
          "10",
          "5",
          "0",
          "0",
          "4",
          "8"
        ],
        "inlier_indices": [
          2,
          3
        ],
        "inlier_count": 2,
        "inlier_squared_residual_sum": "0"
      },
      {
        "pair": [
          2,
          4
        ],
        "status": "valid",
        "slope": "-8",
        "intercept": "18",
        "absolute_vertical_residuals": [
          "18",
          "9",
          "0",
          "8",
          "0",
          "8"
        ],
        "inlier_indices": [
          2,
          4
        ],
        "inlier_count": 2,
        "inlier_squared_residual_sum": "0"
      },
      {
        "pair": [
          2,
          5
        ],
        "status": "vertical_pair_skipped"
      },
      {
        "pair": [
          3,
          4
        ],
        "status": "valid",
        "slope": "0",
        "intercept": "10",
        "absolute_vertical_residuals": [
          "10",
          "9",
          "8",
          "0",
          "0",
          "0"
        ],
        "inlier_indices": [
          3,
          4,
          5
        ],
        "inlier_count": 3,
        "inlier_squared_residual_sum": "0"
      },
      {
        "pair": [
          3,
          5
        ],
        "status": "valid",
        "slope": "0",
        "intercept": "10",
        "absolute_vertical_residuals": [
          "10",
          "9",
          "8",
          "0",
          "0",
          "0"
        ],
        "inlier_indices": [
          3,
          4,
          5
        ],
        "inlier_count": 3,
        "inlier_squared_residual_sum": "0"
      },
      {
        "pair": [
          4,
          5
        ],
        "status": "valid",
        "slope": "0",
        "intercept": "10",
        "absolute_vertical_residuals": [
          "10",
          "9",
          "8",
          "0",
          "0",
          "0"
        ],
        "inlier_indices": [
          3,
          4,
          5
        ],
        "inlier_count": 3,
        "inlier_squared_residual_sum": "0"
      }
    ],
    "selected_candidate": {
      "pair": [
        0,
        1
      ],
      "status": "valid",
      "slope": "1",
      "intercept": "0",
      "absolute_vertical_residuals": [
        "0",
        "0",
        "0",
        "10",
        "9",
        "8"
      ],
      "inlier_indices": [
        0,
        1,
        2
      ],
      "inlier_count": 3,
      "inlier_squared_residual_sum": "0"
    },
    "refit_slope": "1",
    "refit_intercept": "0",
    "refit_consensus_original_indices": [
      0,
      1,
      2
    ],
    "refit_residuals_all_points": [
      "0",
      "0",
      "0",
      "10",
      "9",
      "8"
    ]
  },
  "wide_threshold_keeps_all_refit_contaminated": {
    "threshold": "20",
    "all_pair_candidates": [
      {
        "pair": [
          0,
          1
        ],
        "status": "valid",
        "slope": "1",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "0",
          "0",
          "0",
          "0",
          "18"
        ],
        "inlier_indices": [
          0,
          1,
          2,
          3,
          4,
          5
        ],
        "inlier_count": 6,
        "inlier_squared_residual_sum": "324"
      },
      {
        "pair": [
          0,
          2
        ],
        "status": "valid",
        "slope": "1",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "0",
          "0",
          "0",
          "0",
          "18"
        ],
        "inlier_indices": [
          0,
          1,
          2,
          3,
          4,
          5
        ],
        "inlier_count": 6,
        "inlier_squared_residual_sum": "324"
      },
      {
        "pair": [
          0,
          3
        ],
        "status": "valid",
        "slope": "1",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "0",
          "0",
          "0",
          "0",
          "18"
        ],
        "inlier_indices": [
          0,
          1,
          2,
          3,
          4,
          5
        ],
        "inlier_count": 6,
        "inlier_squared_residual_sum": "324"
      },
      {
        "pair": [
          0,
          4
        ],
        "status": "valid",
        "slope": "1",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "0",
          "0",
          "0",
          "0",
          "18"
        ],
        "inlier_indices": [
          0,
          1,
          2,
          3,
          4,
          5
        ],
        "inlier_count": 6,
        "inlier_squared_residual_sum": "324"
      },
      {
        "pair": [
          0,
          5
        ],
        "status": "valid",
        "slope": "10",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "9",
          "18",
          "27",
          "36",
          "0"
        ],
        "inlier_indices": [
          0,
          1,
          2,
          5
        ],
        "inlier_count": 4,
        "inlier_squared_residual_sum": "405"
      },
      {
        "pair": [
          1,
          2
        ],
        "status": "valid",
        "slope": "1",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "0",
          "0",
          "0",
          "0",
          "18"
        ],
        "inlier_indices": [
          0,
          1,
          2,
          3,
          4,
          5
        ],
        "inlier_count": 6,
        "inlier_squared_residual_sum": "324"
      },
      {
        "pair": [
          1,
          3
        ],
        "status": "valid",
        "slope": "1",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "0",
          "0",
          "0",
          "0",
          "18"
        ],
        "inlier_indices": [
          0,
          1,
          2,
          3,
          4,
          5
        ],
        "inlier_count": 6,
        "inlier_squared_residual_sum": "324"
      },
      {
        "pair": [
          1,
          4
        ],
        "status": "valid",
        "slope": "1",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "0",
          "0",
          "0",
          "0",
          "18"
        ],
        "inlier_indices": [
          0,
          1,
          2,
          3,
          4,
          5
        ],
        "inlier_count": 6,
        "inlier_squared_residual_sum": "324"
      },
      {
        "pair": [
          1,
          5
        ],
        "status": "valid",
        "slope": "19",
        "intercept": "-18",
        "absolute_vertical_residuals": [
          "18",
          "0",
          "18",
          "36",
          "54",
          "0"
        ],
        "inlier_indices": [
          0,
          1,
          2,
          5
        ],
        "inlier_count": 4,
        "inlier_squared_residual_sum": "648"
      },
      {
        "pair": [
          2,
          3
        ],
        "status": "valid",
        "slope": "1",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "0",
          "0",
          "0",
          "0",
          "18"
        ],
        "inlier_indices": [
          0,
          1,
          2,
          3,
          4,
          5
        ],
        "inlier_count": 6,
        "inlier_squared_residual_sum": "324"
      },
      {
        "pair": [
          2,
          4
        ],
        "status": "valid",
        "slope": "1",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "0",
          "0",
          "0",
          "0",
          "18"
        ],
        "inlier_indices": [
          0,
          1,
          2,
          3,
          4,
          5
        ],
        "inlier_count": 6,
        "inlier_squared_residual_sum": "324"
      },
      {
        "pair": [
          2,
          5
        ],
        "status": "vertical_pair_skipped"
      },
      {
        "pair": [
          3,
          4
        ],
        "status": "valid",
        "slope": "1",
        "intercept": "0",
        "absolute_vertical_residuals": [
          "0",
          "0",
          "0",
          "0",
          "0",
          "18"
        ],
        "inlier_indices": [
          0,
          1,
          2,
          3,
          4,
          5
        ],
        "inlier_count": 6,
        "inlier_squared_residual_sum": "324"
      },
      {
        "pair": [
          3,
          5
        ],
        "status": "valid",
        "slope": "-17",
        "intercept": "54",
        "absolute_vertical_residuals": [
          "54",
          "36",
          "18",
          "0",
          "18",
          "0"
        ],
        "inlier_indices": [
          2,
          3,
          4,
          5
        ],
        "inlier_count": 4,
        "inlier_squared_residual_sum": "648"
      },
      {
        "pair": [
          4,
          5
        ],
        "status": "valid",
        "slope": "-8",
        "intercept": "36",
        "absolute_vertical_residuals": [
          "36",
          "27",
          "18",
          "9",
          "0",
          "0"
        ],
        "inlier_indices": [
          2,
          3,
          4,
          5
        ],
        "inlier_count": 4,
        "inlier_squared_residual_sum": "405"
      }
    ],
    "selected_candidate": {
      "pair": [
        0,
        1
      ],
      "status": "valid",
      "slope": "1",
      "intercept": "0",
      "absolute_vertical_residuals": [
        "0",
        "0",
        "0",
        "0",
        "0",
        "18"
      ],
      "inlier_indices": [
        0,
        1,
        2,
        3,
        4,
        5
      ],
      "inlier_count": 6,
      "inlier_squared_residual_sum": "324"
    },
    "refit_slope": "1",
    "refit_intercept": "3",
    "refit_consensus_original_indices": [
      0,
      1,
      2,
      3,
      4,
      5
    ],
    "refit_residuals_all_points": [
      "-3",
      "-3",
      "-3",
      "-3",
      "-3",
      "15"
    ]
  },
  "invalid_cases_rejected": [
    "insufficient",
    "all_vertical",
    "negative_threshold",
    "nonfinite_threshold",
    "nonfinite_point",
    "bool_point"
  ],
  "scope": "original deterministic bounded pair enumeration RANSAC-style, vertical absolute residual not perpendicular distance; no random-success probability or sklearn execution, real sensor data, objective universal optimum or proof an outlier is invalid"
}