In the patterns game - puzzles of a specific pattern are generated and rated. Generating as many puzzles seems to be the way to do it, using a vicinity search of the harder puzzles found... Most puzzles with more than 24 clues seem to have at least one mutable clue, usually more.

Taking the 25 clue level

Number of 25 clue ed minimal puzzles = number of ed grids x number of minimal puzzles per ed grid.

5.00E+09 x 6.35E+14 = 3.17495E+24

divide by the total number of ed patterns

1.72398E+14

= 1.8E+10

This may be an underestimate by ? 10% because some patterns cant have puzzles [ eg those with no clue in 2 rows in a band]

Maybe some one can confirm these rather large numbers !!!

- Code: Select all
`clues estimation of minimal puzzles per established pattern`

16 0

17 ~1

18 ~50

19 ~5000

20 ~100000

21 1589108

22 68369243

23 1108338021

24 6953894398

25 18416429124

26 20532959229

27 9930303323

28

29

.. decreasing

..

39 ~1

40 1

~ is my estimate

C