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Jan 27 VH
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ZeroAssoluto



Joined: 05 Feb 2017
Posts: 868
Location: Rimini, Italy

PostPosted: Thu Jan 27, 2022 2:05 pm    Post subject: Jan 27 VH Reply with quote

Hi everyone,

Code:

+-----------+----------+----------+
| 67  8  67 | 5  1 2   | 3  9 4   |
| 3   4  1  | 7  9 8   | 2  5 6   |
| 5   9  2  | 6  4 3   | 18 7 18  |
+-----------+----------+----------+
| 8   17 5  | 19 3 4   | 6  2 179 |
| 2   3  79 | 8  6 179 | 5  4 179 |
| 179 6  4  | 2  5 179 | 17 8 3   |
+-----------+----------+----------+
| 169 5  69 | 4  2 19  | 78 3 78  |
| 4   2  8  | 3  7 6   | 9  1 5   |
| 179 17 3  | 19 8 5   | 4  6 2   |
+-----------+----------+----------+

Play this puzzle online at the Daily Sudoku site

Quote:
Skyscraper with number 9 in r6c16,r9c14 and -9 in r4c4,r7c6


Ciao Gianni
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dongrave



Joined: 06 Mar 2014
Posts: 563

PostPosted: Thu Jan 27, 2022 2:19 pm    Post subject: Reply with quote

I used the 17-9 XY-Wing with pivot at r4c2 (-9r5c6) which then opened up another 17-9 XY-Wing with pivot at r5c6 (-9r7c3).
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TomC



Joined: 30 Oct 2020
Posts: 349
Location: Wales

PostPosted: Thu Jan 27, 2022 4:14 pm    Post subject: Reply with quote

Two steps for me
X wing on <1> in r49c24 gives -1 in r9c1 (and r4c9)
then XY wing <679> pivot r7c3 gives -7 in r1c1
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Thu Jan 27, 2022 4:16 pm    Post subject: Reply with quote

Code:

+-----------+----------+----------+
|67   8  67 | 5  1 2   | 3  9 4   |
| 3   4  1  | 7  9 8   | 2  5 6   |
| 5   9  2  | 6  4 3   | 18 7 18  |
+-----------+----------+----------+
| 8   17 5  | 19 3 4   | 6  2 179 |
| 2   3  79c| 8  6 179 | 5  4 179 |
| 179b 6 4  | 2  5 179a| 17 8 3   |
+-----------+----------+----------+
| 169 5 69d | 4  2 x19x| 78 3 78  |
| 4   2  8  | 3  7 6   | 9  1 5   |
| 179 17 3  | 19 8 5   | 4  6 2   |
+-----------+----------+----------+


Sorry for the scruffy graphics but Strong links (a-b-c-d) on 9's provide a similar result to Gianni but with a kite. r7c6 < > 9
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TomC



Joined: 30 Oct 2020
Posts: 349
Location: Wales

PostPosted: Thu Jan 27, 2022 8:00 pm    Post subject: Reply with quote

Again another similar result using the 9's

r5c9 <> 9 as then d=9, a=9, leaves no room for <9> in box 4
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Thu Jan 27, 2022 8:47 pm    Post subject: Reply with quote

….and drops two 9’s in column 9 !
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TomC



Joined: 30 Oct 2020
Posts: 349
Location: Wales

PostPosted: Thu Jan 27, 2022 8:55 pm    Post subject: Reply with quote

Mogulmeister wrote:
….and drops two 9’s in column 9 !

Not sure about this, do you mean c3?
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Thu Jan 27, 2022 9:21 pm    Post subject: Reply with quote

So lets start with your 9 in r5c9

(17=9)r5c9-r5c3=r7c3-r9c1=r9c4-r4c5=(9-17)r4c9

Two 9's in column 9 so r5c9 < > 9
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Thu Jan 27, 2022 9:34 pm    Post subject: Reply with quote

In case you're a visual type (I am)

Green is true and red is false

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TomC



Joined: 30 Oct 2020
Posts: 349
Location: Wales

PostPosted: Thu Jan 27, 2022 9:35 pm    Post subject: Reply with quote

Understand now, I just think if you drop a number from a column you remove it
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Thu Jan 27, 2022 9:35 pm    Post subject: Reply with quote

We were here before with Immp's puzzle too ?
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Thu Jan 27, 2022 9:40 pm    Post subject: Reply with quote

TomC wrote:
Again another similar result using the 9's

r5c9 <> 9 as then d=9, a=9,


and if I can complete your chain Tom..and r4c4 is < >9 and r4c9 is 9 !
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TomC



Joined: 30 Oct 2020
Posts: 349
Location: Wales

PostPosted: Thu Jan 27, 2022 9:41 pm    Post subject: Reply with quote

If r5c9=9 then r4c4=9, x=9 , no <9> in c3 is where I thought you were
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Thu Jan 27, 2022 9:43 pm    Post subject: Reply with quote

TomC wrote:
Understand now, I just think if you drop a number from a column you remove it


Think loops! All those contradiction loops that set off on their logical path and turn round to bite themselves on the àrse!
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Thu Jan 27, 2022 9:43 pm    Post subject: Reply with quote

TomC wrote:
If r5c9=9 then r4c4=9, x=9 , no <9> in c3 is where I thought you were


Which is fair enough too !
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Thu Jan 27, 2022 9:44 pm    Post subject: Reply with quote

The point is once something is wrong contradictions appear everywhere and in many forms.
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TomC



Joined: 30 Oct 2020
Posts: 349
Location: Wales

PostPosted: Thu Jan 27, 2022 9:48 pm    Post subject: Reply with quote

Exactly, it's the way I see 'em
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Thu Jan 27, 2022 9:50 pm    Post subject: Reply with quote

You are the Frank Carson of Sudoku! (even if he's the wrong type of Celt)
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Fri Jan 28, 2022 8:26 am    Post subject: Reply with quote

Mogulmeister wrote:
In case you're a visual type (I am)

Green is true and red is false



The sequence of these loops is important. Above shows the initial move from r5c9 (=9) green to r5c3 (< > 9) red which leads to two 9’s in col 9

Using the same strong links, look what happens when your first step from r5c9 (=9) is to r4c9 (< > 9). Apart from the start cell at r5c9, all the greens become reds (< > 9) and reds become green (=9).

This then gives you two 9’s in row 5 ! Different contradiction but same result
r5c9 < > 9.
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TomC



Joined: 30 Oct 2020
Posts: 349
Location: Wales

PostPosted: Fri Jan 28, 2022 10:11 am    Post subject: Reply with quote

There is only one way to describe this puzzle
Quote:
It's a cracker!
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