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VH+ 012122

 
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immpy



Joined: 06 May 2017
Posts: 499

PostPosted: Fri Jan 21, 2022 6:08 pm    Post subject: VH+ 012122 Reply with quote

Hello all, enjoy the puzzle.

Code:

+-------+-------+-------+
| . . 5 | . 1 . | . 6 . |
| . 9 . | 3 . 6 | 7 . . |
| 3 . . | 4 7 . | 9 . . |
+-------+-------+-------+
| 8 . . | . 9 . | . 4 . |
| 9 . . | 6 . 5 | . . 7 |
| . 4 . | . 8 . | . . 9 |
+-------+-------+-------+
| . . 8 | . 2 9 | . . 6 |
| . . 2 | 5 . 4 | . 9 . |
| . 6 . | . . . | 5 . . |
+-------+-------+-------+

Play this puzzle online at the Daily Sudoku site

cheers...immp
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Mogulmeister



Joined: 03 May 2007
Posts: 1136

PostPosted: Fri Jan 21, 2022 9:13 pm    Post subject: Reply with quote

Doesn't really matter what you put in r5c7. Either way r4c9 < > 1. (a-d)

Code:
+--------------+--------------+--------------+
| 27  78  5    | 9   1   28   | 3   6   4    |
| 12  9   4    | 3   5   6    | 7   128 128  |
| 3   18  6    | 4   7   28   | 9   12  5    |
+--------------+--------------+--------------+
| 8   5   137  | 2   9   137  | 6   4   13d  |
| 9   2   13   | 6   4   5    | 18a 138 7    |
| 6   4   137  | 17  8   137  | 2   5   9    |
+--------------+--------------+--------------+
| 5   13  8    | 17  2   9    | 4   137 6    |
| 17  137 2    | 5   6   4    | 18b  9  138c |
| 4   6   9    | 8   3   17   | 5   127 12   |
+--------------+--------------+--------------+


Thanks Immp!


Last edited by Mogulmeister on Tue Jan 25, 2022 4:49 pm; edited 1 time in total
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Mogulmeister



Joined: 03 May 2007
Posts: 1136

PostPosted: Mon Jan 24, 2022 11:46 am    Post subject: Reply with quote

On a solving note, this came to me when I saw what I thought was going to be a skyscraper on 1's ab and cd. The extra 1's in r29c9 put paid to that idea but then I noticed that the cd "leg" had another strong link on 3's which turned it into something a bit different.
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TomC



Joined: 30 Oct 2020
Posts: 226
Location: Wales

PostPosted: Tue Jan 25, 2022 3:03 pm    Post subject: Reply with quote

This took me a little while to understand this solution

I now can see it as if c=3, d=1, a=8 and then no <8> in box 9
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Mogulmeister



Joined: 03 May 2007
Posts: 1136

PostPosted: Tue Jan 25, 2022 4:12 pm    Post subject: Reply with quote

In general if you see 3 strong links in a four sided structure itís worth looking at. Whether a is 1 or 8 it eliminates 1 from r4c9.

Equally you could set r4c9 to 1 and your contradiction loop d-a-b-c would throw out the 1 you started with in r4c9
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Mogulmeister



Joined: 03 May 2007
Posts: 1136

PostPosted: Tue Jan 25, 2022 4:46 pm    Post subject: Reply with quote

The ANP <137> in r8c12 also comes to the same conclusion:

ANP true and r8c7 = 8 r5c7 =1 and r4c9 < > 1
ANP false and r7c2 =1 r7c4= 7 r7c8 =3 so r5c8 < > 3 and r4c9 = 3 (< >1)
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Mogulmeister



Joined: 03 May 2007
Posts: 1136

PostPosted: Tue Jan 25, 2022 5:01 pm    Post subject: Reply with quote

TomC wrote:
This took me a little while to understand this solution

I now can see it as if c=3, d=1, a=8 and then no <8> in box 9


Or.....c=3 d=1 so a=8

and at the same time

c=3 and b=8

Two 8's in column 7
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