{
  "id": 494,
  "alphabet_id": 28,
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  "length": 1559,
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  "submitter": "David Renshaw",
  "created_at": "2026-09-09 14:37:43",
  "comments": [
    {
      "author": "David Renshaw",
      "created_at": "2026-09-09 14:37:43",
      "content": "Start from word 482, a 7031-letter word over {0,...,8}. Compress both axes of its centered prefix-sum graph to 1300 letters and recenter at mean 7/2. Round down and use dynamic programming to project to the exact alphabet {0,1,2,3,4,5,7} within the smallest uniform prefix-sum band (radius 1). Weighted prefix-coordinate repair with seed 296106 yields a valid 1300-letter word. Reverse it and run randomized suffix DFS with seed 296301 to reach 1517. Reverse that word and continue with seed 296501, preserving a 1544-letter intermediate word. Reverse that intermediate word and apply focused suffix DFS with mobility ordering, seed 296601, to obtain 1559 letters. Independently verified all 607,620 adjacent equal-length block pairs and the exact alphabet. 8 repair trials at 1600-2000 letters failed within their 180-second limits, including two final exact local repairs at 1600 letters. Successive 180-second forward/reverse extension rounds raised the best from 1300 to 1517, then 1549, then 1559 letters. The last round used focused suffix rewrites and a mobility heuristic and gained only 10 letters over the previous best. This supports diminishing returns for this search portfolio; it is not a mathematical upper bound."
    }
  ]
}