W-0082
A superpermutation on 10 symbols, found by 
- Length
- 4,034,855
- Repeated permutations
- 0
- Received
- Nov 5, 202617:19:09 UTC
Begins
012345678901234567809123456780192345678012934567801239456780123495678012345967801234569780123456798012345670891234567081…
Windows
| 4,034,846 | windows of 10 consecutive letters | |
| = | 3,628,800 | distinct permutations |
| + | 0 | repeated permutations |
| + | 406,046 | 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 | 3,524 |
| 3 | 9,415 |
| 4 | 12 |
| 5 | 3 |
| 6 | 5 |
| 7 | 38 |
| 8 | 2 |
| 9 | 1 |
| 10 | 0 |
Download
Learn about the Detour file format
Download Detour (.detour) 1.9 kB, or 4.0 MB decoded