SudokuJ(NC) 1-clue Puzzle

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SudokuJ(NC) 1-clue Puzzle

Postby Mathimagics » Sun Feb 10, 2019 4:28 pm

.
My fellow SudokuFP dabblers might like this. It occurred to me that, since I was working on Jigsaw Layouts, I might be able to find some case where a Sudoku Jigsaw with NC mode had less than 3 clues (our current minimum for a standard SudokuNC puzzle).

This one not only has just 2 clues, they are also the same value:

Code: Select all
.7......................7........................................................
222222223244133333444153533464155557466111557466661757886861777888881779899999999

Solution + Jigsaw Layout: Show
Code: Select all
 +-------------------------------+---+   
 | 2   7   1   4   6   8   3   5 | 9 |   
 |   +-------+---+---------------+   |   
 | 9 | 1   4 | 6 | 8   3   5   7   2 |   
 +---+       |   +---+   +---+       |   
 | 5   9   2 | 8 | 3 | 1 | 7 | 4   6 |   
 |   +---+   |   |   +---+   +---+---+   
 | 7 | 2 | 8 | 3 | 9   5   1   6 | 4 |   
 |   |   +---+   +-------+       |   |   
 | 3 | 8   6 | 1   5   9 | 4   2 | 7 |   
 |   |       +-------+   +---+   |   |   
 | 6 | 4   9   5   1 | 7 | 2 | 8 | 3 |   
 +---+---+   +---+   |   |   +---+   |   
 | 4   6 | 3 | 9 | 7 | 2 | 8   1   5 |   
 |       +---+   +---+   |       +---+   
 | 8   3   5   7   2 | 4 | 6   9 | 1 |   
 |   +---------------+---+-------+   |   
 | 1 | 5   7   2   4   6   9   3   8 |   
 +---+-------------------------------+   


[EDIT] Confirmed as unique solution (JSudoku)
[EDIT] Found a 1-clue puzzle also (next post)
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Re: SudokuJ(NC) 1-clue Puzzle

Postby Mathimagics » Sun Feb 10, 2019 9:39 pm

.
And here we have the ultimate goal, a 1-clue puzzle …

Code: Select all
..........................................4......................................
BBBBBBBCCBBDAEECCCDDDAEECCCDDFAEEECGDDFAAAEGGDHFFFAEGGHHHFFAGGGHHHFFAGIIHHIIIIIII

Soln + Layout: Show
Code: Select all
 +---------------------------+-------+   
 | 1   3   5   7   2   4   9 | 6   8 |   
 |       +---+---+-------+---+       |   
 | 6   8 | 1 | 3 | 7   9 | 5   2   4 |   
 +-------+   |   |       |           |   
 | 2   4   6 | 8 | 5   3 | 1   7   9 |   
 |       +---+   |       +---+   +---+   
 | 7   9 | 2 | 4 | 1   8   6 | 3 | 5 |   
 |       |   |   +-------+   +---+   |   
 | 3   5 | 7 | 9   6   2 | 4 | 8   1 |   
 |   +---+   +-------+   |   |       |   
 | 8 | 1 | 9   5   3 | 7 | 2 | 4   6 |   
 +---+   +---+       |   +---+       |   
 | 4   6   3 | 1   8 | 5 | 7   9   2 |   
 |           |       |   |   +-------+   
 | 9   2   8 | 6   4 | 1 | 3 | 5   7 |   
 |       +---+-------+---+---+       |   
 | 5   7 | 4   2   9   6   8   1   3 |   
 +-------+---------------------------+   

This one has also been confirmed by JSudoku.

The Jigsaw layout above is particularly productive. It has 64 x 1-clue puzzles, one for every clue except for the 17 positions tagged with an "x":
Solution+Tags: Show
Code: Select all
135724968681379524246853179792418635357962481819537246463185792928641357574296813
  x            xx x   x      x     x x  x       x  x       x  x x     x x       x

Last edited by Mathimagics on Sat Mar 23, 2019 2:41 pm, edited 1 time in total.
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Re: SudokuJ(NC) 1-clue Puzzle

Postby tarek » Mon Feb 11, 2019 7:52 am

Well done!!

You can now post it as a golden egg (swapping that digit for 0) :D

tarek
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