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Jun 12 VH

 
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ZeroAssoluto



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

PostPosted: Sun Jun 12, 2022 10:04 am    Post subject: Jun 12 VH Reply with quote

Hi everyone,

Code:

+--------------+-----------+------------+
| 4    28  16  | 7   19 3  | 28  159 56 |
| 16   23  7   | 169 5  8  | 23  19  4  |
| 58   358 9   | 16  2  4  | 138 7   36 |
+--------------+-----------+------------+
| 9    6   8   | 2   4  7  | 5   3   1  |
| 3    7   5   | 8   19 19 | 4   6   2  |
| 2    1   4   | 3   6  5  | 9   8   7  |
+--------------+-----------+------------+
| 7    4   12  | 159 3  19 | 6   125 8  |
| 15   9   123 | 4   8  6  | 7   125 35 |
| 1568 58  136 | 15  7  2  | 13  4   9  |
+--------------+-----------+------------+

Play this puzzle online at the Daily Sudoku site

Quote:
W-Wing
1,9 r1c5,r2c8 SL with number 1 in r3c47 and -9 in r1c8,r2c4
1,9 r1c5,r2c8 SL with number 1 in r1c3,r2c1 and -9 in r1c8,r2c4
1,6 r1c3,r3c4 SL with number 6 in r2c14 and -1 in r1c5
1,6 r1c3,r3c4 SL with number 6 in r13c9 and -1 in r1c5


Ciao Gianni
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TomC



Joined: 30 Oct 2020
Posts: 349
Location: Wales

PostPosted: Sun Jun 12, 2022 10:38 am    Post subject: Reply with quote

Another one-step solution is a=5 to solve
Code:

+---------------+------------+--------------+
| 4    28  e16  |  7   19 3  |  28  159 d56 |
| 16   23   7   |  169 5  8  |  23  19   4  |
| 58   358  9   |  16  2  4  |  138 7    36 |
+---------------+------------+--------------+
| 9    6    8   |  2   4  7  |  5   3    1  |
| 3    7    5   |  8   19 19 |  4   6    2  |
| 2    1    4   |  3   6  5  |  9   8    7  |
+---------------+------------+--------------+
| 7    4    12  |  159 3  19 |  6   125  8  |
| 15   9    123 |  4   8  6  |  7   125 c35 |
| 1568 58   136 | a15  7  2  | b13  4    9  |
+---------------+------------+--------------+

If a=1 then follow the chain to make e=1 leaving no room for <1> in box 2
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TomC



Joined: 30 Oct 2020
Posts: 349
Location: Wales

PostPosted: Sun Jun 12, 2022 10:44 am    Post subject: Reply with quote

Gianni, aren't these VH puzzles meant to be solvable with X, XY or XYZ wings?
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ZeroAssoluto



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

PostPosted: Sun Jun 12, 2022 12:22 pm    Post subject: Reply with quote

Hi TomC

Not sure.
Maybe yes, but not always in one step, as in this case.

Ciao Gianni
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dongrave



Joined: 06 Mar 2014
Posts: 563

PostPosted: Sun Jun 12, 2022 1:46 pm    Post subject: Reply with quote

TomC wrote:
Gianni, aren't these VH puzzles meant to be solvable with X, XY or XYZ wings?


Yes Tom! Marty told me years ago that all VH puzzles on this site can be solved using just the 3 wings that you mentioned. Marty coined these solutions as 'Standard Solutions' (since they only use 'Standard' VH moves). This one looks like it requires 3 standard VH moves. There's a 35-1 XY-Wing with pivot at r8c9 which removes the 1's from r8c8 and r9c13. That opens up an X-Wing on 1's in rows 3 and 9 which removes the 1 from r2c4. That opens up a 19-6 XY-Wing with pivot at r1c5 (and also a 69-1 XY-Wing with pivot at r2c4) which solves the puzzle.
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TomC



Joined: 30 Oct 2020
Posts: 349
Location: Wales

PostPosted: Sun Jun 12, 2022 2:13 pm    Post subject: Reply with quote

Thanks, dongrave! I can solve these puzzles in my usual way, but if I know that wings can be used I try that as well.

I kicked off with the 35-1 XY as you say, then a 15-2 XY but missed the X wing completely so didn't get any further!

Like you say, multiple steps are not better or worse than a one stepper!
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Sun Jun 12, 2022 2:35 pm    Post subject: Reply with quote

Absolutely. I think getting to understand different solving techniques is more important than step count. Variety is also the spice of sudoku life imho.
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