W-0086
A superpermutation on 11 symbols, found by 
- Length
- 43,930,534
- Repeated permutations
- 19,771
- Received
- Nov 8, 202615:36:07 UTC
0123456789A01234567890A12345678901A23456789012A34567890123A45678901234A56789012345A67890123456A78901234567A89012345678A9…
Windows
| 43,930,524 | windows of 11 consecutive letters | |
| = | 39,916,800 | distinct permutations |
| + | 19,771 | repeated permutations |
| + | 3,993,953 | 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 | 109,038 |
| 4 | 60 |
| 5 | 69 |
| 6 | 33 |
| 7 | 20 |
| 8 | 48 |
| 9 | 20 |
| 10 | 2 |
| 11 | 0 |
How it was found
From the submitter
Built on Jay Pantone's 43,930,548 word, which he made from my selection X (800 closed trails) by changing the images of its blocks (his 43/80 construction). I recovered his images, changed two of them and fixed the order of the closed trails with local kicks. Published on 27 Oct 2026 in jhalfar/superpermutations, the images are in plan/images-11-43930534.txt.
Made with Claude (Opus 5.5) in Claude Code. I decide what to try, Claude writes the code and runs the searches.
Download
Learn about the Detour file format
Download Detour (.detour) 7.9 kB, or 43.9 MB decoded