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  "submitter": "David Renshaw",
  "created_at": "2026-09-09 14:21:58",
  "comments": [
    {
      "author": "David Renshaw",
      "created_at": "2026-09-09 14:21:59",
      "content": "Start with word 473, the 2458-letter record on {0,...,7}. Stretch both axes of its centered prefix-sum graph to 2704 letters, recenter at mean 7/2, round down, and project to increments 0..7 (minimum uniform band radius 0). Weighted prefix-coordinate repair with seed 70100 leaves nine additive squares. Local finite-domain SAT repair with seed 70701 reduces this to two. Recenter the resulting prefix-sum graph at mean 7/2 and add the quadratic adjustment -j*(j-2704)/(100*2704) before rounding and projection. Weighted repair with seed 71301 produces a valid 2704-letter word. Forward randomized suffix DFS with seed 71500 reaches 2714 letters. Reverse this word and run another suffix DFS with seed 71601 to reach 2718 letters. Independently checked all 1,846,881 adjacent equal-length block pairs; the word uses exactly {0,...,7}. 18 repair trials targeting 2800-5000 letters failed within their 180-second limits, including two final coordinated SAT repairs at 2800 letters (four and nine conflicts remaining). Two successive forward/reverse 180-second suffix-search rounds improved the best from 2704 to 2714 and then 2718 letters; the final forward search gained nothing and the reverse search gained four letters. This supports diminishing returns for this search portfolio, not a mathematical upper bound."
    }
  ]
}