so to estimate the number of puzzles in a 25 clue pattern

average number of puzzles was 1830 in 40 ed grids.

1830/40 * 5e9 = which gives an average count of 2.2e11 25-puzzles per pattern.

of note the asymmetric diagonal 25 clue pattern had 21621 puzzles in the 40 grids - roughly 10 times more puzzles ....

- Code: Select all
`+---+---+---+`

|..5|..8|..9|

|...|.2.|.7.|

|6..|1..|3..|

+---+---+---+

|..6|8..|5..|

|.9.|.6.|..1|

|7..|..5|.4.|

+---+---+---+

|..1|3..|.8.|

|.5.|.4.|7..|

|2..|..1|...|

+---+---+---+ 25 clues - 21621 puzzles

- Code: Select all
`+---+---+---+`

|1..|2..|...|

|.3.|..4|...|

|..5|.6.|4..|

+---+---+---+

|4..|...|7..|

|..1|.5.|..2|

|.2.|..3|.6.|

+---+---+---+

|..3|7..|8.6|

|...|..8|.47|

|...|.1.|53.|

+---+---+---+ 25 clues - patterns game 0269 - 1993 puzzles

C