Pat wrote:could we run the MegaClue test

on the new puzzles only?

Do you mean the counts of "numbers of solutions of the puzzles with one clue deleted"?

For all of the 17-clue puzzles, I've calculated the numbers of solutions of each of the 17 puzzles obtained by deleting one clue in turn, and incorporated them into my database.

So if this is what you mean, then I can easily calculate any particular statistic you would like from these figures...

I have not yet put a proper front end on so that these stats are accessible easily, but here are some examples..

Examples:

Most mega of clues: Clue # 3 from Puzzle #15586 leading to 11339281 solutions

[Clue #3 means the third clue in the MIN LEX version of puzzle #15586, not the downloadable "sudoku17" file]

[NOTE: At the moment the only way you can easily pull this out of the DB is to get the PDF from

http://people.csse.uwa.edu.au/gordon/sudoku17pdf.php?id=15586 which is not really suitable for programmers]

Least mega of clues: 2 solutions obtained in lots of ways

We can play lots of min-max games

(1) Max max megaclue: which puzzles have overall maximum solutions among their 17 1-clue deletions

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

| id | maxmax |

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

| 15586 | 11339281 |

| 21355 | 10789663 |

| 33611 | 9370174 |

| 33864 | 9239041 |

| 33920 | 8587343 |

| 8104 | 8159472 |

| 32773 | 8159472 |

| 39852 | 7856752 |

| 15578 | 7547833 |

| 19861 | 7487776 |

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

(2) Min max megaclue: Which puzzles have the minimum value of the maximum solutions over all 17 1-clue deletions

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

| id | minmax |

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

| 20515 | 8503 |

| 28773 | 14437 |

| 22111 | 15656 |

| 22731 | 16741 |

| 31403 | 17171 |

| 10832 | 18938 |

| 22734 | 19005 |

| 17025 | 19155 |

| 1158 | 19450 |

| 32506 | 20040 |

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

(In other words, 1-clue deletions of puzzle #20515 have AT MOST 8503 solutions, no matter which clue you remove)

(3) Max min megaclue : which puzzles have the maximum value of the minimum number of solutions over all 17 1-clue deletions

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

| id | maxmin |

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

| 3673 | 81469 |

| 12919 | 43983 |

| 20858 | 37293 |

| 33503 | 31584 |

| 36412 | 29545 |

| 29019 | 25522 |

| 3832 | 25248 |

| 14078 | 23961 |

| 28992 | 21953 |

| 29018 | 21586 |

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

In other words, 1-clue deletions of puzzle #3673 have AT LEAST 81469 solutions no matter which clue is deleted..

Can do averages, standard deviations etc etc, but not now - I'm off to bed.

Cheers

Gordon