I processed the first 9000 entries.

The first step has been to filter the properties described earlier

_ Symmetry of given

_ SK loop pattern

_ EXOCET pattern

_ And the 3 rank 0 or nearly rank 0 multi fish pattern recognized by my solver

Sets made exclusively of rows or of columns (usually a pure rank 0 pattern)

Sets made of row and columns forming a square (often not a pure rank 0 pattern)

There were only 960 puzzles left out of the 9000 after having applied that filter.

I then eliminated puzzles easily solved by my solver.

Here the cut off to apply is not quite clear, but

_ clearing obviously easy suppressed about 130 puzzles

_ a reasonable cut off left 200 puzzles.

I took a high cut off to produce the following short list.

(puzzle, sequence number, source, ER, EP, ED, difficulty index )

**Hidden Text:**Show

All the puzzles in that list are new and have a relatively low ER rating. Most of them have been generated recently by eleven.

To-day, the best indicator I have to forecast if something simple has a chance to come is to use Allan Barker process applied to a multi floors pattern.

I am very reluctant to consider as of any use complex SLG produced by XSUDO model, unless one can clearly establish in a logical way where are the â€œrank 0â€ pieces of logic.

However, it is very simple to find the potential of a multi floors pattern and to have an idea of the chances to find a new pattern easy to explain.

Consequently, I made an exploration of that short list with the Allan Barker model an got the following table where

Seq is the sequence number as above

Floors is the list of digits leading to a potential action

Perm is the number of valid patterns in the multi floors

Elims is the number of candidates than are never set to 1

Cells is the number of cells where extra candidates exist and are never set to 1

Note : if a multi floor of â€œnâ€ digits is active, all multi floors with the same digits plus another one are ignored;

- Code: Select all
`Seq floors perm elims cells`

1582 1268 94 7 11

34579 161 14 6

5416 2579 79 13 5

13467 190 8 8

243 23459 99 6 1

4024 empty

3218 1789 49 12 8

227 1245 79 12 6

36789 188 10 8

35 1234 43 6 4

620 12348 178 7 1

12468 203 6 4

2780 12457 257 8

13689 77 9

23457 152 6 2

3411 empty

4971 3579 40 14 8

12468 712 11 8

4891 2568 128 6 11

13479 89 17 6

4993 1578 52 11 7

23469 412 11 8

34689 347 16 3

3329 2489 52 6 9

13567 328 13 10

1263 2459 62 5 7

13678 221 10 3

1690 3489 107 10 4

12567 190 6 8

1102 12567 35 13 6

23489 147 13 9

889 empty

From that table, one can predict that entries with no potential will remain extremely difficult.

The best chance to find a new SLG â€œeasy to justifyâ€ using XSUDO is where the number of permutations is low

Eg: number 1102 35 perms with a 5 floors pattern

One can also notice that often the complementary floors of a 4 floors with potential have also some potential.

champagne