Length 2886 over {0, 1, 2, 3, 4, 5, 6, 7, 8}

Word of length 2886 over {0, 1, 2, 3, 4, 5, 6, 7, 8}

by David Renshaw, 2026-08-27 · JSON

This is a historical record from 2026-08-27, superseded on 2026-08-28 by length 2941 — jump to the current record (7031).

Display: drawn for the equivalent alphabet translated by -4 (drift removed); downsampled ×3.

7 5 1 0 7 0 5 4 6 8 1 0 2 3 1 2 1 5 2 1 8 4 3 1 5 7 6 4 7 5 7 8 6 8 7 5 8 6 2 8 3 2 3 5 8 4 8 6 4 7 6 7 8 7 3 7 2 6 5 7 6 8 6 5 0 1 0 6 8 7 6 2 6 8 7 1 6 4 8 7 4 8 2 4 5 8 5 6 3 7 0 2 0 6 2 5 4 2 0 1 3 0 3 7 1 7 4 8 0 1 4 8 7 8 3 1 6 4 8 5 8 7 3 0 2 4 1 6 0 5 2 8 6 8 7 6 8 6 5 7 6 7 2 8 6 8 5 8 6 8 2 0 6 5 8 6 4 8 6 8 5 3 2 7 8 6 8 7 8 6 5 8 7 8 6 8 2 5 8 6 8 5 8 7 5 8 6 5 1 3 7 6 8 6 3 8 0 2 5 7 2 5 6 8 4 8 6 8 3 5 8 7 8 5 8 7 4 8 0 8 1 5 7 5 8 5 7 0 8 3 6 4 6 0 1 7 5 7 8 0 7 8 4 7 8 5 4 5 1 4 7 8 4 1 0 6 5 6 1 5 4 6 8 7 8 4 2 0 3 7 3 4 2 0 1 0 2 7 3 7 2 6 8 5 3 7 5 1 4 5 2 8 4 5 8 0 5 7 8 6 2 5 8 6 8 7 6 3 8 7 6 8 6 2 3 8 1 3 5 7 4 6 1 3 7 5 2 5 7 6 8 7 1 8 7 6 2 4 3 1 4 8 6 7 8 0 8 5 6 3 5 2 0 3 4 8 2 0 2 5 6 8 0 6 5 4 3 0 5 1 8 2 5 3 0 1 0 8 7 0 6 0 7 8 4 8 7 3 8 3 5 8 4 8 5 6 0 8 1 4 7 2 1 0 5 4 8 3 6 7 8 6 8 4 7 1 8 1 0 2 6 3 7 5 7 8 2 8 6 7 6 5 1 2 8 4 2 6 7 4 8 0 2 3 6 0 8 5 4 7 5 0 2 8 5 0 3 1 8 7 3 1 6 3 0 1 0 2 0 4 2 1 7 1 3 8 0 1 2 5 8 7 0 5 1 5 8 2 7 1 5 6 8 6 7 4 6 7 6 2 7 5 2 6 4 0 2 4 6 4 2 0 2 7 1 0 5 4 6 7 0 2 4 5 8 7 0 8 3 8 2 0 3 4 2 1 7 8 1 0 4 2 1 7 0 2 1 0 2 0 6 0 1 0 6 7 3 1 3 6 4 0 2 1 8 5 3 0 1 4 1 2 5 8 5 2 0 3 7 5 3 8 2 6 5 7 3 8 4 6 4 0 6 4 1 2 0 5 1 8 0 4 0 3 0 5 6 7 8 6 7 5 7 6 3 1 7 5 6 8 2 5 6 7 5 0 4 0 3 0 5 8 7 0 8 7 6 0 1 2 0 1 0 4 1 0 3 0 1 7 6 0 1 2 5 2 1 3 1 0 2 0 1 0 2 3 1 2 1 0 8 2 0 2 1 0 2 3 1 3 2 8 2 3 1 6 0 1 0 2 0 4 0 3 0 2 3 1 2 4 5 2 3 1 0 2 0 8 1 5 8 2 0 1 6 1 0 5 0 1 6 1 0 1 8 0 1 2 0 4 8 0 4 1 0 1 5 8 0 7 0 3 2 4 7 6 7 2 0 7 2 1 0 2 7 6 5 0 4 0 2 0 1 2 1 3 1 8 3 2 1 6 1 4 6 2 1 2 0 1 2 7 0 3 0 8 7 3 8 0 4 8 5 6 8 7 0 2 0 3 2 7 6 1 0 2 1 8 1 0 1 2 4 0 8 3 0 4 5 7 3 2 3 0 6 4 3 1 5 2 7 6 8 4 7 8 7 0 8 4 6 8 6 3 0 1 4 8 0 6 3 0 1 0 3 0 8 1 3 1 4 6 8 7 8 1 4 0 6 1 0 2 4 7 0 8 2 0 7 0 5 6 0 1 3 5 0 1 5 7 5 6 4 8 7 6 3 0 6 8 7 8 4 3 8 3 7 1 4 0 4 5 0 8 6 8 3 6 7 5 3 2 3 0 4 2 0 1 7 3 7 8 1 6 5 0 2 1 0 2 3 0 3 5 6 4 1 8 3 8 5 4 8 6 8 1 8 7 8 4 8 5 4 8 0 4 7 8 6 7 8 7 5 1 3 1 8 5 6 3 7 0 1 5 7 0 4 0 2 1 0 7 1 5 6 7 8 7 6 7 1 0 4 7 5 8 7 4 8 4 5 8 5 2 0 1 7 8 5 0 6 2 3 1 0 5 8 6 2 1 2 0 2 5 1 7 8 5 8 6 4 5 6 1 6 2 1 5 7 3 7 8 7 6 8 2 0 6 8 6 5 8 0 8 7 8 6 7 8 7 5 7 6 5 7 2 5 8 6 2 8 7 5 2 4 8 0 1 4 6 7 6 8 0 8 1 8 0 2 0 4 2 8 6 3 1 2 6 5 7 6 7 8 6 4 0 6 5 6 3 0 7 2 7 6 5 7 2 0 6 1 4 2 0 4 8 7 8 6 8 7 4 8 7 6 8 3 4 2 7 1 7 8 6 8 3 7 8 6 8 7 8 4 8 7 8 6 7 8 1 3 7 8 7 6 8 3 5 7 6 4 1 0 8 7 8 5 0 5 3 6 7 6 8 7 6 7 0 5 3 0 6 7 8 4 8 7 8 6 8 7 1 8 7 6 8 4 7 0 7 8 6 2 8 7 6 8 7 8 4 8 7 8 6 7 8 7 3 6 8 7 8 6 8 1 6 7 8 4 8 6 1 8 7 6 3 5 7 5 6 8 5 8 7 8 5 8 6 4 7 6 8 6 1 7 4 1 7 8 7 0 3 8 6 8 4 7 8 7 6 8 7 8 1 3 5 7 8 3 8 7 6 7 8 1 2 8 5 3 1 0 8 6 7 8 3 0 6 7 6 4 6 8 7 8 6 4 8 7 6 2 7 8 6 3 1 5 8 6 5 6 7 8 7 6 5 4 5 8 3 5 7 8 6 7 0 3 6 5 3 7 6 0 1 2 4 0 4 6 8 1 5 7 8 6 4 8 7 6 7 8 7 0 8 3 8 5 3 5 2 7 6 4 6 8 6 7 3 6 7 6 0 8 0 2 8 7 0 8 7 4 2 8 0 7 0 1 0 8 2 3 6 5 7 8 5 7 0 4 2 4 7 8 2 7 5 6 8 7 4 6 4 8 1 7 6 4 3 1 8 2 0 6 7 4 7 1 8 6 0 3 5 0 1 0 2 1 4 7 6 0 3 6 8 6 7 3 0 6 2 7 6 7 8 7 4 8 4 2 0 8 7 2 3 7 2 0 1 3 0 7 5 8 6 2 3 1 2 7 1 0 3 0 1 0 4 3 0 3 1 6 7 1 5 2 1 2 0 1 0 3 2 3 1 0 1 3 1 7 5 1 0 1 2 1 0 1 6 0 4 6 8 6 1 4 8 6 4 2 3 2 8 4 2 1 0 2 4 8 1 8 4 6 5 8 1 4 6 8 7 8 4 1 8 6 2 0 4 5 1 4 7 6 8 7 1 0 2 0 1 8 2 0 4 0 1 0 2 1 0 1 3 1 0 2 0 5 1 8 1 2 1 0 2 3 1 0 2 1 0 1 7 2 0 2 6 5 2 3 1 2 0 1 4 0 2 6 1 2 1 0 4 3 0 6 7 5 4 7 5 0 2 6 8 2 0 4 0 3 0 2 0 3 1 0 7 0 3 0 5 4 0 7 8 2 3 1 0 1 6 3 0 1 0 2 0 1 0 5 1 0 1 3 1 8 1 0 2 0 1 0 4 0 1 0 2 5 1 2 0 1 0 3 2 0 6 1 6 5 1 0 2 1 0 4 5 0 1 2 1 0 5 0 2 1 8 1 7 8 5 2 0 1 4 0 1 2 0 6 2 0 1 0 5 0 1 2 0 2 4 0 1 8 1 3 2 0 1 2 5 2 1 0 1 2 8 7 0 1 2 0 1 3 8 1 2 4 3 7 8 5 8 7 1 0 2 0 4 0 2 0 1 0 2 0 6 2 1 2 0 2 4 8 0 1 3 1 0 2 4 2 1 0 2 3 0 1 7 4 6 4 1 0 3 0 4 6 4 1 2 4 0 8 5 2 8 6 8 5 1 6 4 1 2 0 6 0 1 8 3 4 1 0 4 0 7 1 0 3 0 2 0 3 1 0 7 0 3 6 3 2 0 4 2 1 0 4 1 8 6 7 3 0 2 0 6 3 6 7 8 7 4 8 6 8 3 0 6 0 7 1 0 2 1 3 7 0 2 4 2 1 0 2 0 4 5 2 0 4 3 7 5 4 2 1 3 2 1 0 6 8 3 0 1 3 0 5 1 0 8 3 7 6 7 0 2 0 7 3 1 0 7 0 3 2 8 6 3 0 6 4 7 8 5 3 4 2 1 6 5 3 4 2 4 7 6 8 7 8 1 6 7 1 0 5 8 7 0 5 1 0 2 3 6 2 1 3 8 2 4 8 4 1 3 8 4 3 2 1 0 4 0 2 8 0 1 5 0 7 0 3 1 8 6 5 8 4 2 8 3 8 5 7 8 5 6 8 7 8 2 7 4 7 8 4 8 2 1 3 4 6 5 8 7 3 1 4 7 3 1 0 2 4 3 6 8 5 1 3 4 8 6 8 5 7 8 1 5 8 4 8 6 8 7 8 2 8 7 5 7 8 7 6 8 4 6 0 1 7 8 6 5 3 1 0 6 7 8 0 6 7 6 8 7 8 3 8 7 1 6 7 8 4 8 7 8 1 8 2 5 8 6 8 4 6 8 6 7 8 7 5 6 8 7 8 5 2 6 8 7 3 7 8 6 8 7 5 1 5 8 7 5 0 3 8 3 7 8 7 6 7 8 7 3 4 7 3 7 8 6 8 7 5 7 8 7 2 6 1 8 3 7 8 6 3 7 8 0 1 0 4 6 5 7 8 6 7 5 7 6 8 0 8 6 1 5 4 8 5 8 0 7 8 6 8 7 8 6 5 7 6 2 6 8 7 8 5 7 8 7 2 1 7 8 2 3 0 4 8 6 4 8 4 1 6 7 2 7 4 0 3 7 5 0 4 8 6 5 8 6 8 2 0 6 7 8 4 8 5 2 8 6 8 7 8 2 8 7 0 5 7 8 3 4 8 7 6 0 3 7 6 8 4 2 7 5 7 3 0 3 1 0 7 1 5 7 8 3 4 8 7 2 0 1 6 5 7 8 6 3 0 5 7 8 5 4 8 7 8 3 0 6 7 8 6 5 2 7 8 2 0 3 5 7 8 6 8 0 2 4 0 2 8 5 4 2 0 8 1 0 4 0 3 7 8 3 2 8 2 0 4 5 8 2 4 7 8 5 4 0 8 6 4 8 6 8 7 4 0 8 4 8 7 4 5 2 0 4 8 7 2 0 7 0 5 6 8 1 3 7 2 1 0 6 5 0 6 0 8 4 0 7 2 0 1 0 2 0 4 7 2 0 1 3 8 2 5 8 4 8 0 1 2 1 5 7 3 0 3 1 0 2 3 4 0 2 8 5 2 0 1 6 7 4 1 6 7 8 6 5 1 7 8 1 0 7 4 1 5 4 6 8 4 5 3 2 3 8 2 3 1 0 5 2 0 5 8 4 1 5 1 3 4 2 0 3 1 0 2 0 5 6 5 2 1 0 4 8 6 8 2 7 8 3 0 6 1 0 4 1 0 1 5 1 4 7 0 2 3 4 0 2 0 8 2 0 3 1 0 1 4 0 2 5 8 4 1 2 1 0 5 6 5 1 3 0 8 0 4 0 2 0 1 0 2 4 2 7 3 1 7 0 1 8 4 3 0 8 6 8 3 2 7 5 6 8 5 0 1 0 2 0 5 8 5 4 2 1 0 8 7 4 8 4 6 0 5 2 0 3 6 1 0 1 4 1 0 6 2 0 7 8 2 3 0 8 3 6 8 6 5 8 0 8 7 8 0 2 4 3 7 8 4 3 0 8 5 1 6 7 8 4 3 0 4 2 0 3 2 3 4 3 6 4 8 4 6 4 8 7 6 7 5 6 2 8 5 4 8 5 2 3 2 0 3 0 8 7 8 6 7 4 5 7 0 6 4 7 4 6 8 7 8 4 8 6 0 5 8 0 4 3 2 0 6 1 0 3 0 2 5 7 1 2 8 7 6 3 1 3 8 7 1 2 1 4 1 6 1 3 1 0 6 0 1 0 8 5 1 2 3 5 8 2 3 2 8 0 4 0 1 0 2 5 8 0 1 0 2 5 1 0 1 2 1 0 1 7 5 2 0 3 0 6 2 3 0 1 0 3 8 0 5 8 5 2 7 3 4 2 0 7 0 3 7 2 3 0 2 0 1 7 3 1 3 4 7 6 2 5 8 6 1 6 5 8 4 3 4 1 3 1 2 0 2 1 5 2 3 8 0 1 3 0 2 6

Alphabet {0, 1, 2, 3, 4, 5, 6, 7, 8}

size 9 · diameter 8 · record length 7031 · JSON

open No exhaustive search has settled this alphabet; the record is a lower bound on the (possibly infinite) maximum.

Know the exact maximum? Log in to claim this alphabet closed.

Record history

7031 (was 3389) — David Renshaw, 2026-09-09
3389 (was 3347) — David Renshaw, 2026-09-08
3347 (was 3223) — David Renshaw, 2026-08-28
3223 (was 3108) — David Renshaw, 2026-08-28
3108 (was 3049) — David Renshaw, 2026-08-28
3049 (was 2941) — David Renshaw, 2026-08-28
2941 (was 2886) — David Renshaw, 2026-08-28
2886 (was 2678) — David Renshaw, 2026-08-27
2678 (was 2644) — David Renshaw, 2026-08-27
2644 (was 2178) — David Renshaw, 2026-08-27
2178 (was 1992) — David Renshaw, 2026-08-27
1992 (was 1989) — David Renshaw, 2026-08-27
1989 (was 1757) — David Renshaw, 2026-08-27
1757 (was 1000) — David Renshaw, 2026-08-20
1000 (was 851) — David Renshaw, 2026-08-19
851 (first) — David Renshaw, 2026-08-19

Comments

David Renshaw · 2026-08-27 19:19 UTC

Rollout-scored beam search from scratch (beam over prefixes, each scored by the max length of randomized mobility-DFS rollouts) reached 2532; extending the word's front via search_iterated on the reversed word, then a bank of search_iterated polishers, reached 2886.

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