W-0085

A superpermutation on 14 symbols, found by Jakub Halfar. It beat the previous record W-0076 by 20 letters and was the record between Nov 8 and Nov 9, 2026. The next record W-0090 beat it by 18,947 letters.

Length: 93,904,804,405
Repeated permutations: 19,588,800
Received: Nov 8, 202615:35:01 UTC

Begins

0123456789ABCD0123456789ABC0D123456789ABC01D23456789ABC012D3456789ABC0123D456789ABC01234D56789ABC012345D6789ABC0123456D7…

Windows

	93,904,804,392	windows of 14 consecutive letters
=	87,178,291,200	distinct permutations
+	19,588,800	repeated permutations
+	6,706,924,392	windows that are not permutations

Detours by weight

A step is the move from one permutation in the superpermutation to the next permutation in it, and its weight is the number of letters added in that move. A detour starts at a step that differs from the next step of the recursive construction, and ends at the first permutation after that whose next step has weight 1. The weight of a detour is the number of letters added in it. After each detour, we consider the recursive construction to begin again from scratch at the permutation where the detour ends.

Weight	Detours
1	0
2	0
3	137,363,520
4	0
5	7,507
6	1,261
7	1,750
8	1,216
9	501
10	778
11	510
12	367
13	203
14	177

How it was found

From the submitter

Jay Pantone's 43/80 construction on my selection C (11 symbols), transported twice. The plan came on 25 Oct 2026 from my relocation search, which is William Echols's and Theo H.'s block move applied to the units with the openings chosen again, run on my earlier plan of 93,904,804,425 letters. Published since 27 Oct 2026 as a recipe in recipes/n14/ of jhalfar/superpermutations: generator, selection, a 94 KB plan and a checker.

Made with Claude (Opus 5.5) in Claude Code. I decide what to try, Claude writes the code and runs the searches.

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Learn about the Detour file format

Download Detour (.detour) 1.4 MB, or 93.9 GB decoded