{
  "id": 431,
  "alphabet_id": 23,
  "alphabet": [0,1,2,3,4,5,6],
  "length": 1262,
  "previous_length": 1261,
  "word": [5,3,1,0,2,0,4,6,2,1,3,5,4,6,5,4,2,4,3,5,1,0,2,4,1,4,6,5,2,5,6,5,4,5,3,5,2,1,2,6,3,4,0,2,4,0,1,0,3,0,2,3,1,3,4,2,6,3,2,1,3,1,6,0,6,3,5,3,4,6,0,4,6,2,6,5,6,2,6,4,6,5,3,6,0,4,0,1,6,2,4,6,3,0,1,0,2,1,2,3,5,6,1,0,2,3,6,3,5,6,4,6,2,6,0,4,5,3,0,2,3,5,1,5,6,4,6,5,6,4,3,6,5,6,4,6,0,4,6,4,5,3,0,4,5,6,4,6,2,6,4,5,2,0,3,2,3,6,5,6,1,4,6,1,3,5,1,0,2,1,2,6,5,4,5,6,2,0,6,4,6,3,5,2,0,1,5,4,6,4,1,0,2,1,0,1,6,2,1,3,1,2,6,5,6,0,3,6,4,6,3,5,6,0,2,5,3,6,3,2,1,0,6,5,3,4,0,3,0,2,6,3,0,1,4,2,0,1,0,4,0,1,0,5,6,2,0,6,3,2,0,4,2,6,4,6,3,2,6,3,1,3,0,1,0,2,5,2,1,0,2,5,6,5,0,2,1,0,2,6,1,3,0,1,0,2,0,1,0,3,1,4,1,0,2,1,3,4,1,0,4,1,2,5,0,1,6,1,2,6,4,6,1,3,0,3,2,0,1,2,0,4,5,3,1,2,0,4,0,1,4,3,6,3,5,6,4,5,0,1,2,5,1,3,6,2,0,4,6,3,1,0,1,2,0,5,1,0,4,5,6,5,0,6,1,2,6,4,6,3,6,5,6,1,6,2,6,0,2,0,4,0,3,2,0,4,2,6,3,6,0,4,0,2,4,6,3,5,3,0,6,3,6,5,6,1,5,6,4,6,5,6,3,4,2,4,5,6,5,3,4,6,2,0,6,0,1,0,4,5,0,6,2,6,4,5,2,6,4,6,2,6,0,3,2,6,5,4,3,4,6,5,6,0,4,6,5,3,6,4,6,5,6,4,6,0,5,6,4,5,6,5,2,0,6,4,6,3,4,6,2,6,0,4,1,0,3,4,6,5,3,6,4,6,5,6,4,0,3,5,6,4,6,2,3,6,0,3,4,1,0,1,4,2,6,2,1,6,5,6,4,5,6,2,5,6,4,6,1,2,1,6,5,0,1,6,5,6,4,6,2,0,4,5,3,4,1,0,1,2,6,0,1,2,0,1,4,1,6,3,5,1,6,4,5,4,3,0,1,0,4,5,4,6,5,1,6,4,6,3,6,5,1,2,5,2,3,1,0,2,1,5,4,6,4,5,4,6,2,6,4,0,1,2,6,1,3,6,5,1,2,5,2,0,1,5,0,1,0,2,0,1,0,3,2,0,4,5,4,2,1,0,2,6,3,1,6,5,3,1,0,1,2,0,5,4,0,2,6,4,5,6,2,5,6,3,0,1,6,1,0,5,1,3,0,1,0,5,2,6,4,1,2,1,0,2,3,0,3,6,1,0,2,0,1,3,0,1,0,2,0,1,5,2,1,0,1,3,0,6,4,1,2,1,0,2,4,1,2,6,5,6,2,6,4,1,2,1,5,2,0,3,1,0,2,6,4,6,5,0,4,2,1,0,1,3,0,2,0,1,0,3,4,0,4,6,1,0,1,2,0,1,0,4,0,1,0,2,0,1,0,6,2,0,1,3,0,2,0,1,0,2,5,1,3,5,3,4,0,2,0,4,0,1,2,0,1,0,3,4,2,1,0,2,1,3,6,0,3,5,6,5,0,1,3,1,0,2,1,6,0,1,2,0,1,0,4,0,2,1,6,4,2,0,1,0,3,2,4,2,0,3,1,0,6,5,4,2,4,6,5,6,2,1,0,5,1,3,4,2,0,2,1,0,2,6,0,2,0,1,4,0,2,5,2,6,0,5,4,2,0,1,5,6,3,6,5,1,5,6,5,4,0,3,6,4,1,5,1,0,3,1,5,1,0,1,2,0,5,4,0,2,1,5,2,6,4,5,1,3,6,4,6,5,6,4,2,6,5,6,4,0,5,6,5,1,2,3,1,0,2,6,1,4,6,5,4,3,0,5,1,3,6,5,3,1,3,0,2,0,1,2,0,5,3,5,0,6,0,3,1,4,5,2,3,0,6,5,6,2,6,5,6,4,6,1,6,3,5,6,4,6,5,6,3,5,3,1,3,5,6,3,4,6,5,6,3,2,1,3,2,0,3,1,3,5,3,6,5,2,5,3,1,2,5,6,4,5,2,6,5,4,6,5,6,3,5,0,3,6,0,1,6,3,2,6,1,0,3,5,0,2,1,0,1,3,1,0,1,2,6,2,4,2,3,0,3,5,1,4,5,6,5,2,3,1,2,1,0,4,2,0,4,6,3,5,0,2,1,0,2,3,1,3,0,1,0,2,0,1,3,1,0,1,3,4,5,3,1,0,5,1,0,2,1,0,4,6,4,2,5,3,2,1,0,1,3,0,1,4,1,6,4,0,2,0,3,2,3,1,6,5,0,6,2,6,4,3,6,4,0,2,6,0,1,3,0,1,0,4,6,2,1,5,1,4,5,1,6,2,4,2,5,6,4,6,5,6,3,4,0,2,6,2,0,3,6,5,6,3,6,1,3,2,0,1,2,5,1,0,2,4,6,4,1,3,0,2,4,3,0,2,0,1,0,3,2,0,3,1,6,1,4,0,6,2,0,6,4,6,2,0,3,1,5,6,1,3,6,4,6,3,6,1,0,6,2,0,1,3,2,6,4,3,0,2,5,2,3,0,1,0,3,4,2,6,2,0,6,0,4,6],
  "submitter": "Aayush Rajasekaran",
  "created_at": "2026-08-27 15:16:27",
  "comments": [
    {
      "author": "Aayush Rajasekaran",
      "created_at": "2026-08-27 15:16:28",
      "content": "Rollout-scored beam search, iterated regrowth generations - my implementation of the method David Renshaw described on this alphabet. A beam of W=80 prefixes advances in 10-letter steps; each prefix is scored by running R=8 randomized mobility-DFS rollouts from it under a 50000-node cap and taking the deepest length any rollout reaches, and the children are the rollout paths truncated to t+10 - so the beam keeps prefixes that demonstrably lead somewhere deep rather than ones that merely look roomy. One implementation note that mattered: mobility ordering costs k*O(t) per node versus O(t) for the legality scan, so it is applied only in the first 24 levels of each rollout, where it actually guides; that alone took a fixed-budget probe from 505 to 528. Run as eight independent chains, each reseeding the beam from an 88-97 percent prefix of its own current best over six generations; three chains independently reached 1262 (from the 92 percent fraction). It shares a 1170-letter prefix with the 1261 word, i.e. 93 percent, so this is a tail improvement rather than a new word. For anyone continuing: the 1261 word is insertion-closed - a full sweep of every (position, letter) insertion finds none legal - and it resisted tail-release with reversal at window 20, so it was a genuine local optimum for those moves. Reseeding the beam deeper than about 85 percent loses ground (70 percent gave 1248, 85 percent gave 1215), which says the early structure of the word is load-bearing. Verified exhaustively: every start position against every block length, 398161 pairs, all 7 letters used."
    }
  ]
}