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2026-08-25 19:05
Aayush Rajasekaran
extended
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}
— length 17221 (was 10000)
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2026-08-25 19:05
Aayush Rajasekaran
commented on length 17222 over {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18}
Seeded local search, same method: started from the {0..15} record word (17205, David Renshaw), valid here by monotonicity under inclusion, and extended by dive-and-repair (extremes-biased random legal letter, 32-letter backtrack window, restarts near the best prefix). Verified ex…
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2026-08-25 19:05
Aayush Rajasekaran
opened
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18}
— length 17222
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2026-08-25 19:05
Aayush Rajasekaran
commented on length 17207 over {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17}
Seeded local search, same method: started from the {0..15} record word (17205, David Renshaw), which is a valid word over this alphabet by monotonicity under inclusion, and extended it by dive-and-repair with an extremes-biased random choice and a 32-letter backtrack window. Veri…
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2026-08-25 19:05
Aayush Rajasekaran
opened
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17}
— length 17207
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2026-08-25 19:05
Aayush Rajasekaran
commented on length 8022 over {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}
Seeded local search. Records are monotone under alphabet inclusion, so the {0..13} record word (7974, David Renshaw) is already a valid word here; it was used as the starting point and extended by dive-and-repair: walk forward choosing a random legal letter (biased toward the ext…
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2026-08-25 19:05
Aayush Rajasekaran
opened
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}
— length 8022
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2026-08-25 18:27
Aayush Rajasekaran
opened
{0, 1, 2, 4, 7, 12, 20, 29, 38, 52, 73, 83, 108, 121, 145, 168}
— length 74035
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2026-08-25 16:37
Aayush Rajasekaran
opened
{0, 1, 3, 7, 12, 20, 30, 44, 65, 80}
— length 30783
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2026-08-25 15:08
David Renshaw
commented on length 17205 over {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
Improved the previous 17,199-letter record by randomized suffix-rewrite search. The new 17,205-letter word preserves the first 16,867 symbols and rewrites the final 332; independently verified over 74,003,006 adjacent-block comparisons.
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2026-08-25 15:08
David Renshaw
extended
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
— length 17205 (was 17199)
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2026-08-25 01:29
David Renshaw
commented on length 7974 over {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}
Seeded from word 240, the 7,956-letter record on {0,...,12}, and introduced a fourteenth symbol. I ran parallel randomized mobility-guided DFS with iterative tail-cut restarts in both orientations, mixing shallow, deep, focused short-suffix, and 2- and 3-step lookahead searches. …
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2026-08-25 01:29
David Renshaw
opened
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}
— length 7974
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2026-08-25 00:52
David Renshaw
commented on length 7956 over {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
Seeded from the current 6,988-letter record on {0,...,11}, introduced the new symbol 12, and ran parallel randomized mobility-guided DFS with iterative tail-cut restarts. I cascaded each improved checkpoint through ten restart waves in both orientations, using 2- and 3-step looka…
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2026-08-25 00:52
David Renshaw
opened
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
— length 7956
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2026-08-24 14:18
David Renshaw
commented on length 24906 over {0, 1, 4, 15, 60}
Starting from
word#238, I ran ten parallel randomized depth-first extension searches with varied restart depths, node budgets, reversal, and 1–4-step mobility lookahead. Every worker quickly reached length 10,000. After fixing a lookahead buffer overrun exposed at the target boun…
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2026-08-24 14:16
David Renshaw
extended
{0, 1, 4, 15, 60}
— length 24906 (was 6500)
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2026-08-24 13:06
Blake Jackson
opened
{0, 1, 4, 15, 60}
— length 6500
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2026-08-23 23:14
David Renshaw
extended
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
— length 6988 (was 6848)
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2026-08-23 23:04
David Renshaw
commented on length 6848 over {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
Randomized mobility-guided DFS with tail-cut restarts, seeded from the previous record.
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2026-08-23 23:04
David Renshaw
extended
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
— length 6848 (was 6558)
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2026-08-20 22:46
David Renshaw
commented on length 17199 over {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
Thirty-minute improvement search from the exact 6,870-letter word. I used mobility-guided randomized DFS suffix repair with two-symbol lookahead and a direct forbidden-bit lookup specialized to the contiguous alphabet {0..15}. Nine checkpointed trajectories used complementary res…
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2026-08-20 22:46
David Renshaw
extended
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15}
— length 17199 (was 6870)
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2026-08-20 22:13
David Renshaw
commented on length 2656 over {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
Improves word 53 from 2,132 to 2,656 letters. I started from the exact word-53 sequence plus an independently valid 2,133-letter local variant, then used mobility-guided randomized depth-first tail repair with two-symbol lookahead and a direct forbidden-letter bit lookup for the …
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2026-08-20 22:13
David Renshaw
extended
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
— length 2656 (was 2132)
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2026-08-20 20:29
David Renshaw
commented on length 5875 over {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Improves word 44 from 2,798 to 5,875 letters. I started from the exact word-44 sequence and used mobility-guided randomized depth-first tail repair with two-symbol lookahead and a direct forbidden-letter bit lookup for the contiguous alphabet. Nine independent workers ran in shor…
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2026-08-20 20:29
David Renshaw
extended
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
— length 5875 (was 2798)
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2026-08-20 19:57
David Renshaw
commented on length 6558 over {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
Found by starting from the previous 2,798-letter record on {0,...,10} and running randomized depth-first tail-repair searches after adding the symbol 11. Candidate letters were ranked by immediate continuation mobility with two-symbol lookahead. I periodically propagated stronger…
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2026-08-20 19:54
David Renshaw
opened
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
— length 6558
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2026-08-20 17:26
Aayush Rajasekaran
opened
{0, 3, 4, 7}
— length 58