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Nov 12 VH

 
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TomC



Joined: 30 Oct 2020
Posts: 358
Location: Wales

PostPosted: Fri Nov 12, 2021 9:51 am    Post subject: Nov 12 VH Reply with quote

Code:

+------------+-------------+---------+
| 7  8   356 | 136 36 9    | 156 2 4 |
| 25 1   9   | 4   8  26   | 56  3 7 |
| 34 236 346 | 5   7  1236 | 16  9 8 |
+------------+-------------+---------+
| 25 25  8   | 9   1  7    | 4   6 3 |
| 9  36  7   | 2   4  36   | 8   1 5 |
| 1  4   36  | 36  5  8    | 9   7 2 |
+------------+-------------+---------+
| 34 9   134 | 13  2  5    | 7   8 6 |
| 6  7   2   | 8   9  4    | 3   5 1 |
| 8  35  135 | 7   36 136  | 2   4 9 |
+------------+-------------+---------+

Play this puzzle at the Daily Sudoku site

This reminded me of looking a bit like a W wing

r3c6 <> 1

as then r3c7=6, <36> pair in r1c45 leaves no space for a 6 in box 1
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Fri Nov 12, 2021 11:06 am    Post subject: Reply with quote

Yes. If we start with the ANP <136> in r1c45

(1=36)r1c45-r2c6=r2c7-(6=1)r3c7 ==> r3c6 < > 1
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Earl



Joined: 30 May 2007
Posts: 677
Location: Victoria, KS

PostPosted: Fri Nov 12, 2021 12:37 pm    Post subject: Nov 12 VH Reply with quote

Not very elegant two step:
346xyzwing@R3C3, -3R!C3
then: 456xywing@R2C1. -6R1C5

Early Earl

PS Sorry, it is 256xywing. Another senior moment.


Last edited by Earl on Sat Nov 13, 2021 1:49 pm; edited 1 time in total
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Fri Nov 12, 2021 1:20 pm    Post subject: Reply with quote

I think it is perfectly elegant, Earl.
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Fri Nov 12, 2021 2:55 pm    Post subject: Re: Nov 12 VH Reply with quote

Earl wrote:
456xywing@R2C1. -6R1C5

Early Earl


Do you mean 256 xy wing ?
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TomC



Joined: 30 Oct 2020
Posts: 358
Location: Wales

PostPosted: Fri Nov 12, 2021 3:00 pm    Post subject: Reply with quote

Just about to say the same thing!

Spoooooky
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TomC



Joined: 30 Oct 2020
Posts: 358
Location: Wales

PostPosted: Fri Nov 12, 2021 3:03 pm    Post subject: Reply with quote

Also just noticed that r1c7 <> 1 with the same logic as the start post
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Fri Nov 12, 2021 5:29 pm    Post subject: Reply with quote

TomC wrote:
Also just noticed that r1c7 <> 1 with the same logic as the start post


Yes - or just extend the same chain as above by one link

(1=36)r1c45-(6)r2c6=r2c7-(6=1)r3c7-r1c7

Whether the ANP is 1 or 36 then r1c7 < > 1
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TomC



Joined: 30 Oct 2020
Posts: 358
Location: Wales

PostPosted: Fri Nov 12, 2021 7:23 pm    Post subject: Reply with quote

What if you don't use the ANP and say if r3c6=1, r2c6=2, r2c1=5, r2c7=6 and then r3c7 is back to 1

(Which is how I saw it the first time, before I noticed the W wing similarity)
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

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

You don't have to use the ANP. Batman's teeth. Of course it still shows R3c7 as 1 but other chains are there of course.

So have a go at notating it - Eureka! One of the common languages of sudoku - others are available (eg Snyder).

(1-236)r3c6=(2-6)r2c6-(2=5)r2c1-(5=6)r2c7-(6=1)r3c7 so r3c7 = 1

Which of course also proves that r3c6 can not be 1
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