SudokuFP

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Re: SudokuFP

Postby Mathimagics » Thu Jan 24, 2019 2:59 pm

Oh tarek, what a wag! :lol:

Ok, plus whether your specs have a contradiction. This is getting rather Python-esque, like, what have the Romans ever done for us? 8-)
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SudokuFP 2-clue

Postby Mathimagics » Wed Mar 27, 2019 7:46 pm

Sudoku + Forbidden Pairs

FP = 15 26 27 28 29 39 47 59 69
SFP3C.png
SFP3C.png (3.58 KiB) Viewed 97 times


This is one of 3 possible 2-clue puzzles for this FP:
2-clue puzzles: Show
Code: Select all
..............8.................9................................................
..............8.......9..........................................................
....5.7..........................................................................

Solution: Show
Code: Select all
412356789975248631863197524356789412248631975197524863789412356631975248524863197


The FP list is interesting, for 2 digits (2 and 9) there are 4 FPs, so there are only 4 allowed neighbours for those values. These are strong constraints.
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Re: SudokuFP

Postby SCLT » Thu Jul 25, 2019 1:00 pm

Reviving this old thread... I had been independently researching NC puzzles over the last week or so (with 1 and 9 _not_ being considered consecutive). I have some results which confirm those appearing in this thread, and some new results about minimal puzzles.

- There are 5,287,048 valid NC grids
- There are 330,845 non-isomorphic valid NC grids
- There are 809 non-isomorphic NC grids with at least one symmetry

- There are no 3-clue NC puzzles

- There are 609,032 4-clue NC puzzles
- There are 38,065 non-isomorphic 4-clue NC puzzles
- There is exactly one 4-clue symmetric NC puzzle: .................................3...4.....6...7.................................
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Re: SudokuFP

Postby Mathimagics » Thu Jul 25, 2019 6:11 pm

SCLT wrote:Reviving this old thread ...


Seems that 6 months is a long time in Sudoku topixs ... 8-)

Thanks for those NC result confirmations, these are always gratefully accepted (and respected) ...
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