The New Sudoku Players' Forum

[RichardGoodrich]

A 40-clue puzzle

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..........12.34567.345.6182..1.582.6..86....1.2...7.5...37.5.28.8..6.7..2.7.83615

.------------------.-----------------.-----------------.
| 56789  5679  569 | 1289  1279  129 | 349   349   349 |
| 89     1     2   | 89    3     4   | 5     6     7   |
| 79     3     4   | 5     79    6   | 1     8     2   |
:------------------+-----------------+-----------------:
| 3479   479   1   | 349   5     8   | 2     3479  6   |
| 34579  4579  8   | 6     249   29  | 349   3479  1   |
| 3469   2     69  | 1349  149   7   | 3489  5     349 |
:------------------+-----------------+-----------------:
| 1469   469   3   | 7     149   5   | 49    2     8   |
| 1459   8     59  | 1249  6     129 | 7     349   349 |
| 2      49    7   | 49    8     3   | 6     1     5   |
'------------------'-----------------'-----------------'
.---------.---------.---------.
| 5  7  6 | 8  2  1 | 3  4  9 |
| 8  1  2 | 9  3  4 | 5  6  7 |
| 9  3  4 | 5  7  6 | 1  8  2 |
:---------+---------+---------:
| 7  4  1 | 3  5  8 | 2  9  6 |
| 3  5  8 | 6  9  2 | 4  7  1 |
| 6  2  9 | 1  4  7 | 8  5  3 |
:---------+---------+---------:
| 4  6  3 | 7  1  5 | 9  2  8 |
| 1  8  5 | 2  6  9 | 7  3  4 |
| 2  9  7 | 4  8  3 | 6  1  5 |
'---------'---------'---------'



It's minlex solution

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123456789456789123798132564231675498584923617679841235367518942815294376942367851

.---------.---------.---------.
| 1  2  3 | 4  5  6 | 7  8  9 |
| 4  5  6 | 7  8  9 | 1  2  3 |
| 7  9  8 | 1  3  2 | 5  6  4 |
:---------+---------+---------:
| 2  3  1 | 6  7  5 | 4  9  8 |
| 5  8  4 | 9  2  3 | 6  1  7 |
| 6  7  9 | 8  4  1 | 2  3  5 |
:---------+---------+---------:
| 3  6  7 | 5  1  8 | 9  4  2 |
| 8  1  5 | 2  9  4 | 3  7  6 |
| 9  4  2 | 3  6  7 | 8  5  1 |
'---------'---------'---------'

It's Minlex place in the ED Catalog took 1 minute & 23 seconds to calculate according to my new Python Script:
http://forum.enjoysudoku.com/dynamic-essentialy-different-grid-search-program-t45995.html

Code: Select all

Index = 286529978
gang-011  (011.sudz)  which has 46788396 entries

Now my question is what does a minlex puzzle look like? I will make an assumption in just putting the clues as far as locations as in the original puzzle. What say thou?
(I will play with it HoDoKu and maybe post more ...)

A try at a minlex puzzle

Code: Select all

..........56.89123.981.2564..1.754.8..49....7.7...1.3...75.8.42.1..9.3..9.2.67851

.-----------------.----------------.---------------.
| 12347  234   3  | 3467  345  346 | 79   789  9   |
| 47     5     6  | 47    8    9   | 1    2    3   |
| 37     9     8  | 1     3    2   | 5    6    4   |
:-----------------+----------------+---------------:
| 236    236   1  | 236   7    5   | 4    9    8   |
| 23568  2368  4  | 9     23   36  | 26   1    7   |
| 2568   7     59 | 2468  24   1   | 269  3    569 |
:-----------------+----------------+---------------:
| 36     36    7  | 5     13   8   | 69   4    2   |
| 4568   1     5  | 24    9    4   | 3    7    6   |
| 9      34    2  | 34    6    7   | 8    5    1   |
'-----------------'----------------'---------------'


Using HoDoKU I noticed that Setting All Singles solve this, but the solution to the original puzzle had two forcing chains and 3 locked candidates (with the simple way I set-up HoDoKu! Not sure what this says if anything???????

[coloin]

Not sure what this says if anything???????

Its says you have made a wrong assumption !

The 40 clue puzzle in its minlex grid is not the same as the minlex puzzle.

Its also not an "advanced solving technique" and neither are your 10 ! previous posts in this chapter of threads..

[RichardGoodrich]

Not sure what this says if anything???????

Its says you have made a wrong assumption !

The 40 clue puzzle in its minlex grid is not the same as the minlex puzzle.

Its also not an "advanced solving technique" and neither are your 10 ! previous posts in this chapter of threads..

Well as a Sudoku Theologue you could perhaps re-order my posts into the correct categories! Or you could just post some random puzzles just for the fun of it.

[coloin]

Seriously ?
Minimality = every clue is necessary, every clue has an unhit unavoidable set.
Maybe you should try to find a 35 clue minimal puzzle....... and report back.
The two 40C minimal puzzles probably wont be found in another universe of suduku puzzle finders
Transposing the pattern onto a morph of the solution probably will be give a valid puzzle, but it will be a different puzzle .. and not minimal..