A selected valley cannot admit a square wider than itself until it reaches the lower neighbouring rim. Reject states whose remaining narrow-square area cannot fill that strip, including width-one and width-two gaps.
Keep an unpruned benchmark mode and dedicated counters so the rule remains independently measurable. Record the soundness argument and the measured default-on improvement.
Tests: Debug CTest (12 passed)
Tests: ASan+UBSan CTest (12 passed)
Refs: #10
Codex instance
e27427d231