{
  "status": "PASS",
  "method": "hand-derived three/five-wire graphs; exhaustive correction enumeration; identical acceptance for healthy and mutated decoder outputs",
  "scope": "matching objective and public-row/loss transformation; not an independent general envelope compiler or physical Bayes-optimal decoder",
  "cases": [
    {
      "wires": 3,
      "rows_checked": 64,
      "status": "PASS",
      "hand_derived_graph_pass": true,
      "loss_mapping_pass": true,
      "placeholder_invariance_pass": true,
      "graph": {
        "edges": [
          {
            "loss_factor": 0.5,
            "observables": [],
            "u": 0,
            "v": 1,
            "weight": 2.1972245773362196
          },
          {
            "loss_factor": 0.5,
            "observables": [
              0
            ],
            "u": 0,
            "v": null,
            "weight": 2.1972245773362196
          },
          {
            "loss_factor": 0.5,
            "observables": [],
            "u": 1,
            "v": null,
            "weight": 2.1972245773362196
          }
        ],
        "loss_edges": [
          [
            1
          ],
          [
            0
          ],
          [
            2
          ]
        ],
        "mean_weight": 2.1972245773362196,
        "syndromes": [
          [
            0,
            0
          ],
          [
            1,
            0
          ],
          [
            1,
            0
          ],
          [
            1,
            0
          ],
          [
            1,
            1
          ],
          [
            0,
            1
          ],
          [
            0,
            1
          ],
          [
            0,
            1
          ],
          [
            1,
            1
          ],
          [
            0,
            1
          ],
          [
            0,
            1
          ],
          [
            0,
            1
          ],
          [
            1,
            1
          ],
          [
            0,
            1
          ],
          [
            0,
            1
          ],
          [
            0,
            1
          ],
          [
            0,
            1
          ],
          [
            1,
            1
          ],
          [
            1,
            1
          ],
          [
            1,
            1
          ],
          [
            1,
            0
          ],
          [
            0,
            0
          ],
          [
            0,
            0
          ],
          [
            0,
            0
          ],
          [
            1,
            0
          ],
          [
            0,
            0
          ],
          [
            0,
            0
          ],
          [
            0,
            0
          ],
          [
            1,
            0
          ],
          [
            0,
            0
          ],
          [
            0,
            0
          ],
          [
            0,
            0
          ],
          [
            0,
            1
          ],
          [
            1,
            1
          ],
          [
            1,
            1
          ],
          [
            1,
            1
          ],
          [
            1,
            0
          ],
          [
            0,
            0
          ],
          [
            0,
            0
          ],
          [
            0,
            0
          ],
          [
            1,
            0
          ],
          [
            0,
            0
          ],
          [
            0,
            0
          ],
          [
            0,
            0
          ],
          [
            1,
            0
          ],
          [
            0,
            0
          ],
          [
            0,
            0
          ],
          [
            0,
            0
          ],
          [
            0,
            1
          ],
          [
            1,
            1
          ],
          [
            1,
            1
          ],
          [
            1,
            1
          ],
          [
            1,
            0
          ],
          [
            0,
            0
          ],
          [
            0,
            0
          ],
          [
            0,
            0
          ],
          [
            1,
            0
          ],
          [
            0,
            0
          ],
          [
            0,
            0
          ],
          [
            0,
            0
          ],
          [
            1,
            0
          ],
          [
            0,
            0
          ],
          [
            0,
            0
          ],
          [
            0,
            0
          ]
        ],
        "losses": [
          [],
          [
            0
          ],
          [],
          [
            0
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [],
          [
            0
          ],
          [],
          [
            0
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [],
          [
            0
          ],
          [],
          [
            0
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [],
          [
            0
          ],
          [],
          [
            0
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ]
        ]
      },
      "raw_predictions": {
        "native": [
          0,
          1,
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0
        ],
        "pymatching": [
          0,
          1,
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0
        ],
        "ignored_conditioning": [
          0,
          1,
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0
        ],
        "flipped_native": [
          1,
          1,
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0
        ]
      },
      "rejected_rows": {
        "native": [],
        "pymatching": []
      },
      "ignored_conditioning_rejected_rows": [],
      "flipped_prediction_rejected_rows": [
        0
      ],
      "strict_witness": null
    },
    {
      "wires": 5,
      "rows_checked": 1024,
      "status": "PASS",
      "hand_derived_graph_pass": true,
      "loss_mapping_pass": true,
      "placeholder_invariance_pass": true,
      "graph": {
        "edges": [
          {
            "loss_factor": 0.5,
            "observables": [],
            "u": 0,
            "v": 1,
            "weight": 2.1972245773362196
          },
          {
            "loss_factor": 0.5,
            "observables": [
              0
            ],
            "u": 0,
            "v": null,
            "weight": 2.1972245773362196
          },
          {
            "loss_factor": 0.5,
            "observables": [],
            "u": 1,
            "v": 2,
            "weight": 2.1972245773362196
          },
          {
            "loss_factor": 0.5,
            "observables": [],
            "u": 2,
            "v": 3,
            "weight": 2.1972245773362196
          },
          {
            "loss_factor": 0.5,
            "observables": [],
            "u": 3,
            "v": null,
            "weight": 2.1972245773362196
          }
        ],
        "loss_edges": [
          [
            1
          ],
          [
            0
          ],
          [
            2
          ],
          [
            3
          ],
          [
            4
          ]
        ],
        "mean_weight": 2.1972245773362196,
        "syndromes": [
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            1,
            0,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            1,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            0,
            1,
            0,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            1,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            1,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            1
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            0,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            1,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            1,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            1,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            1,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ],
          [
            0,
            0,
            0,
            0
          ]
        ],
        "losses": [
          [],
          [
            0
          ],
          [],
          [
            0
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [],
          [
            0
          ],
          [],
          [
            0
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [],
          [
            0
          ],
          [],
          [
            0
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [],
          [
            0
          ],
          [],
          [
            0
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [],
          [
            0
          ],
          [],
          [
            0
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [],
          [
            0
          ],
          [],
          [
            0
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [],
          [
            0
          ],
          [],
          [
            0
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [],
          [
            0
          ],
          [],
          [
            0
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [],
          [
            0
          ],
          [],
          [
            0
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [],
          [
            0
          ],
          [],
          [
            0
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [],
          [
            0
          ],
          [],
          [
            0
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [],
          [
            0
          ],
          [],
          [
            0
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [],
          [
            0
          ],
          [],
          [
            0
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [],
          [
            0
          ],
          [],
          [
            0
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [],
          [
            0
          ],
          [],
          [
            0
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [],
          [
            0
          ],
          [],
          [
            0
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            1
          ],
          [
            0,
            1
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            2
          ],
          [
            0,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            1,
            2
          ],
          [
            0,
            1,
            2
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            3
          ],
          [
            0,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            1,
            3
          ],
          [
            0,
            1,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            2,
            3
          ],
          [
            0,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            1,
            2,
            3
          ],
          [
            0,
            1,
            2,
            3
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            4
          ],
          [
            0,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            1,
            4
          ],
          [
            0,
            1,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            2,
            4
          ],
          [
            0,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            1,
            2,
            4
          ],
          [
            0,
            1,
            2,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            3,
            4
          ],
          [
            0,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            1,
            3,
            4
          ],
          [
            0,
            1,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            2,
            3,
            4
          ],
          [
            0,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ],
          [
            1,
            2,
            3,
            4
          ],
          [
            0,
            1,
            2,
            3,
            4
          ]
        ]
      },
      "raw_predictions": {
        "native": [
          0,
          1,
          1,
          1,
          0,
          1,
          1,
          1,
          0,
          1,
          1,
          1,
          0,
          1,
          1,
          1,
          0,
          1,
          1,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          1,
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          1,
          1,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0
        ],
        "pymatching": [
          0,
          1,
          1,
          1,
          0,
          1,
          1,
          1,
          0,
          1,
          1,
          1,
          0,
          1,
          1,
          1,
          0,
          1,
          1,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          1,
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          1,
          1,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0
        ],
        "ignored_conditioning": [
          0,
          1,
          1,
          1,
          0,
          1,
          1,
          1,
          0,
          1,
          1,
          1,
          0,
          1,
          1,
          1,
          0,
          1,
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0
        ],
        "flipped_native": [
          1,
          1,
          1,
          1,
          0,
          1,
          1,
          1,
          0,
          1,
          1,
          1,
          0,
          1,
          1,
          1,
          0,
          1,
          1,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          1,
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          1,
          1,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          1,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          1,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          0,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0,
          1,
          0,
          0,
          0
        ]
      },
      "rejected_rows": {
        "native": [],
        "pymatching": []
      },
      "ignored_conditioning_rejected_rows": [
        21,
        23,
        29,
        31,
        53,
        55,
        61,
        63,
        69,
        71,
        77,
        79,
        81,
        83,
        84,
        92,
        113,
        115,
        116,
        124,
        197,
        199,
        205,
        207,
        209,
        211,
        212,
        220,
        241,
        243,
        244,
        252,
        261,
        263,
        269,
        271,
        273,
        275,
        276,
        284,
        305,
        307,
        308,
        316,
        321,
        323,
        324,
        332,
        336,
        368,
        449,
        451,
        452,
        460,
        464,
        496,
        773,
        775,
        781,
        783,
        785,
        787,
        788,
        796,
        817,
        819,
        820,
        828,
        833,
        835,
        836,
        844,
        848,
        880,
        961,
        963,
        964,
        972,
        976,
        1008
      ],
      "flipped_prediction_rejected_rows": [
        0
      ],
      "strict_witness": {
        "packed_row": 21,
        "fixed_optimum": [
          0
        ],
        "conditioned_optimum": [
          1
        ],
        "fixed_decoder_prediction": 0,
        "native_prediction": 1,
        "pymatching_prediction": 1,
        "logical_order": [
          0,
          1
        ],
        "fixed_costs": [
          2.0,
          3.0
        ],
        "conditioned_costs": [
          2.0,
          1.5
        ]
      }
    }
  ]
}
