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      "to_key": "1:2:1",
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  ],
  "counts": {
    "paired_source_configurations": 24,
    "paired_two_step_paths": 8,
    "original_rectangle_states": 2,
    "two_step_paths_preserving17K": 0,
    "continuations_from_original17K_state": 1
  },
  "obstruction": "A forward paired step moves cumulative source corners by−2 and regular corners by+2; their cross separation necessarily rises4. Preserving the corner sum is compatible with this drift, preserving17K is not.",
  "interpretation": "The original529-coupled source configurations are not closed under repeated forward common repairs. One can continue the first source pair only by entering a17K+4 frame. No branch switch, missing cumulative annual member or Gear4 is supplied to repair the obstruction."
}