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 Post subject: Isolated Sudoku
PostPosted: Wed Feb 05, 2020 4:00 pm 
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Regular
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Joined: Thu Nov 28, 2019 5:57 pm
Posts: 8
Given a collection of numbers, the isolated numbers are ones in the collection with no consecutive numbers (on either side.) For example if the numbers are 1,3,4,6,8,9 then the isolated numbers would be 1 and 6 because 3 is next to 4 and 8 is next to 9. (Alternately we could say the isolated numbers are numbers n in the set so that both n+1 and n-1 are not in the set.)

Here is a Sudoku I constructed based around this one idea.

Image

For more information and the solution visit Quadrata.


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 Post subject: Re: Isolated Sudoku
PostPosted: Wed Feb 05, 2020 7:51 pm 
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Grand Master
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Joined: Wed Apr 30, 2008 9:45 pm
Posts: 608
Really sweet David

A good way of creating a Sukaku hence I suggest that you post it in the Sukaku thread on the players forum. This would make a change from their usual computers only Sukakus.

As every corner has a meaning I do not think that you can make these too difficult - but I'll try.

Maurice


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 Post subject: Re: Isolated Sudoku
PostPosted: Tue Feb 11, 2020 7:07 am 
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Grand Master
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Joined: Wed Apr 30, 2008 9:45 pm
Posts: 608
I've solved the problem of making them harder.
If we put the isolated numbers in a box then if the box is empty there are no isolated numbers. Whereas if there is no box no clue is given.


Isolated 2

Each number in a box means that the adjacent four cells contain that number but do not contain its adjacent numbers. So in nonet 1 the bottom left box means that there is a 2 in r23c12 and r23c12 does not contain 1 or 3. If a box has no clues then it are either two pairs or four consecutive numbers.

Image

Isolated 2 Hard

The same puzzle but three nonets have no boxes hence no clues.

Image


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