SudokuFP

For fans of Killer Sudoku, Samurai Sudoku and other variants

Re: SudokuFP

Oh tarek, what a wag!

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

Mathimagics
2017 Supporter

Posts: 1583
Joined: 27 May 2015
Location: Canberra

SudokuFP 2-clue

Sudoku + Forbidden Pairs

FP = 15 26 27 28 29 39 47 59 69
SFP3C.png (3.58 KiB) Viewed 316 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.

Mathimagics
2017 Supporter

Posts: 1583
Joined: 27 May 2015
Location: Canberra

Re: SudokuFP

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.................................
SCLT

Posts: 163
Joined: 06 August 2013

Re: SudokuFP

SCLT wrote:Reviving this old thread ...

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

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

Mathimagics
2017 Supporter

Posts: 1583
Joined: 27 May 2015
Location: Canberra

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