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VH-ish ?

 
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Mogulmeister



Joined: 03 May 2007
Posts: 1017

PostPosted: Tue Nov 09, 2021 3:46 pm    Post subject: VH-ish ? Reply with quote

Code:
+-----------------+------------------+----------------+
| 2   3468  368   | 346   1   5      | 7   38    9    |
| 134 13478 378   | 3479  38  34789  | 5   2     6    |
| 5   3678  9     | 367   2   378    | 18  138   4    |
+-----------------+------------------+----------------+
| 7   3489  358   | 34    35  1      | 489 6     2    |
| 6   45    2     | 8     9   47     | 3   457   1    |
| 34  34589 1     | 23457 6   2347   | 489 45789 578  |
+-----------------+------------------+----------------+
| 9   237   357   | 1     4   238    | 6   578   578  |
| 13  12367 3567  | 239   358 2389   | 149 149   578  |
| 8   15    4     | 59    7   6      | 2   19    3    |
+-----------------+------------------+----------------+
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Mogulmeister



Joined: 03 May 2007
Posts: 1017

PostPosted: Thu Nov 11, 2021 11:57 am    Post subject: Reply with quote



This is a very interesting puzzle and what follows is not the single shot but observations.

Look at the green squares.

They are arranged in such a way that there are many interpretations on offer. You can also see it as pincer heaven or ALS bonanza.
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Mogulmeister



Joined: 03 May 2007
Posts: 1017

PostPosted: Thu Nov 11, 2021 12:07 pm    Post subject: Reply with quote

So let's consider the configurations of pincers:

Pincers for 1 at r8c1 and r9c2 means r8c2 < > 1
Pincers for 3 at r8c1 and r6c1 means r2c1 < > 3
Pincers for 4 at r6c1 and r5c2 means r46c2 < > 4 (includes 4 in pink square)
Pincers for 5 at r9c2 and r5c2 means r6c2 < > 5
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Mogulmeister



Joined: 03 May 2007
Posts: 1017

PostPosted: Thu Nov 11, 2021 12:19 pm    Post subject: Reply with quote

Even with all those eliminations there is more to do Mr. Green
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immpy



Joined: 06 May 2017
Posts: 479

PostPosted: Thu Nov 11, 2021 6:24 pm    Post subject: Reply with quote

Nice examples Mogulmeister in an Evil-ish puzzle.
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Mogulmeister



Joined: 03 May 2007
Posts: 1017

PostPosted: Thu Nov 11, 2021 8:11 pm    Post subject: Reply with quote

Thanks Immp.

Plenty to chew on here.
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Mogulmeister



Joined: 03 May 2007
Posts: 1017

PostPosted: Sat Nov 13, 2021 12:52 am    Post subject: Reply with quote



There is an overlapping AALS

Set A {3,4,5,8,9} Yellow + purple square
Set B {3,5,8} Green + purple square

Restricted Common is 8

Common candidate is 3 so r4c4 {red} is < > 3.

However the extra 3 in r6c1 prevents this so what if it were true ?

+3r6c1-(3=1)r8c1-(1=5)r9c2-(5=9)r9c4-(9=238)r8c46,r7c6-(38=5)r8c5-(5=3)r4c5 and r4c4 is also < > 3
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immpy



Joined: 06 May 2017
Posts: 479

PostPosted: Sat Nov 13, 2021 6:48 pm    Post subject: Reply with quote

Nice graphics and explanation/instruction Mogulmeister. Does that now solve it?

cheers...immp
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Mogulmeister



Joined: 03 May 2007
Posts: 1017

PostPosted: Sun Nov 14, 2021 2:34 am    Post subject: Reply with quote

It does.
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Mogulmeister



Joined: 03 May 2007
Posts: 1017

PostPosted: Tue Nov 16, 2021 12:39 am    Post subject: Reply with quote

Just one postscript for me.

If you look at the purple square <358> you are on to a winner every time:

If purple = 3 then red = 4 and puzzle solved
if purple = 5 then green = 3 and red = 4 and puzzle solved
..and if its 8 ? Puzzle solved.

You can also look at NOT 8 which leaves purple as <35> which pairs with the other <35> in r4c5 and so once again red = 4 and puzzle solved.

Whether purple is 8 or not does not matter.
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