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  "submitter": "David Renshaw",
  "created_at": "2026-09-09 01:04:33",
  "comments": [
    {
      "author": "David Renshaw",
      "created_at": "2026-09-09 01:04:33",
      "content": "Start from word 408, the 9102-letter word on {0,...,11}. Scale both axes of its prefix-sum graph by 6778/9102, amplify departures from its mean line by 6/5, recenter at mean 4, round down, and project to increments 0..8 in a minimum uniform band of radius 6. Apply weighted prefix-coordinate repair (seed 90104), reverse and repair again (90401), then stretch the saved near-solution from 6778 to 7000 letters with the same mean-4 centering and projection. Repair this profile in four further rounds (90804, 91302, 91602, 91800) to obtain a valid 7000-letter word. Exact transformations, commands, and intermediate snapshots are preserved in the search report. Reverse the valid word and apply randomized suffix DFS with seed 91901 to reach 7031 letters. Independently checked all 12,358,740 adjacent equal-length block pairs; the word uses exactly {0,...,8}. Sixteen later repair trials targeting 7500-10000 letters failed within their 240-300 second limits, including repeated repairs of the closest larger candidates. Final forward/reverse 180-second suffix searches gained at most 31 letters beyond 7000. This supports diminishing returns for this search portfolio; no mathematical upper bound is claimed."
    }
  ]
}