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Feb 26 VH

 
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ZeroAssoluto



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

PostPosted: Sun Feb 25, 2018 11:24 pm    Post subject: Feb 26 VH Reply with quote

Hi everyone,

Code:

+-----------+----------------+--------------+
| 23 9   5  | 6   18    18   | 23   4   7   |
| 1  4   8  | 2   379   379  | 369  69  5   |
| 23 6   7  | 4   359   359  | 8    1   29  |
+-----------+----------------+--------------+
| 4  5   12 | 78  6     1789 | 29   289 3   |
| 6  7   9  | 3   58    2    | 4    58  1   |
| 8  12  3  | 159 4     159  | 2569 7   269 |
+-----------+----------------+--------------+
| 9  23  4  | 78  23578 3578 | 1    256 26  |
| 7  123 6  | 15  1235  4    | 259  259 8   |
| 5  8   12 | 19  129   6    | 7    3   4   |
+-----------+----------------+--------------+

Play this puzzle online at the Daily Sudoku site

Quote:
XY-Wing 2,6,9 in r2c8,r37c9 and -6 in r7c8


Ciao Gianni
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Mon Feb 26, 2018 5:57 am    Post subject: Reply with quote

Code:
┌───────────────────────┬───────────────────────┬───────────────────────┐
│    23       9       5 │     6      18      18 │    23       4       7 │
│                       │                       │                       │
│     1       4       8 │     2     379     379 │   369      69       5 │
│                       │                       │                       │
│    23       6       7 │     4     359     359 │     8       1      29 │
├───────────────────────┼───────────────────────┼───────────────────────┤
│     4       5      12 │    78       6    1789 │    29     289       3 │
│                       │                       │                       │
│     6       7       9 │     3      58       2 │     4      58       1 │
│                       │                       │                       │
│     8      12       3 │   159       4     159 │  2569       7     269 │
├───────────────────────┼───────────────────────┼───────────────────────┤
│     9      23       4 │    78   23578    3578 │     1     256      26 │
│                       │                       │                       │
│     7     123       6 │    15    1235       4 │   259     259       8 │
│                       │                       │                       │
│     5       8      12 │    19     129       6 │     7       3       4 │
└───────────────────────┴───────────────────────┴───────────────────────┘


UR (29) r48c78
8r4c8=5r8c78
8r4c8-(8=5)r5c8-5r7c8
5r8c78-5r7c8=> -5r7c8
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immpy



Joined: 06 May 2017
Posts: 570

PostPosted: Mon Feb 26, 2018 4:22 pm    Post subject: Reply with quote

Nice touch Marty...avoiding the 2-69 XY-wing. Beautiful.
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dongrave



Joined: 06 Mar 2014
Posts: 563

PostPosted: Tue Feb 27, 2018 12:55 am    Post subject: Reply with quote

immpy wrote:
Nice touch Marty...avoiding the 2-69 XY-wing. Beautiful.


Hey! What happened? I remember when Marty would not use a UR to solve a problem on this site! And neither would Keith - so I said to myself, I said 'Don' I said, I said 'I will not use anything except wings to solve VH's on this site!' Smile (btw, I used the 29-6 XY wing to solve it.)
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Tue Feb 27, 2018 2:44 am    Post subject: Reply with quote

Quote:

Hey! What happened? I remember when Marty would not use a UR to solve a problem on this site!


Absolutely correct, Don. I've evolved and changed my approach to these puzzles, mostly avoiding the X, XY and XYZ wings.
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Ajò Dimonios



Joined: 01 May 2017
Posts: 339
Location: Sassari Italy

PostPosted: Tue Feb 27, 2018 8:22 am    Post subject: Reply with quote

Hi everyone

Dongrave wrote:


Quote:

Hey! What happened? I remember when Marty would not use a UR to solve a problem on this site!



In fact, the use of the UR method is not appreciated by the sudoku community because it does not demonstrate the uniqueness of the solution. If we accept as correct the use of the UR method we will also have to accept the "back-door" solutions, which, as the UR does not demonstrate the uniqueness of the solution, as correct. Let me explain with this example in this puzzle R2C8 = 6 "back-door" is a puzzle solution without proof of uniqueness while
[9R2C8- (9 = 2) R3C9 and (9-6) R2C8 = 6R7C8- (6 = 2) R6C9] => contradiction (two certain 2 in column 9) => - 9R2C8 => stte is a solution that also demonstrates uniqueness.


Ciao a Tutti
Paolo
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dongrave



Joined: 06 Mar 2014
Posts: 563

PostPosted: Tue Feb 27, 2018 11:49 pm    Post subject: Reply with quote

Marty R. wrote:
Quote:

Hey! What happened? I remember when Marty would not use a UR to solve a problem on this site!


Absolutely correct, Don. I've evolved and changed my approach to these puzzles, mostly avoiding the X, XY and XYZ wings.


Ha! I like the new Marty too! In the old days the Marty I knew would kill a fly with a fly swatter; now he goes right for his AK 47! Old Marty? Or new Marty? I like them both! Smile
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dongrave



Joined: 06 Mar 2014
Posts: 563

PostPosted: Wed Feb 28, 2018 12:05 am    Post subject: Reply with quote

Hey! Wait a minute! I think I found a fly in the ointment with the AK 47 solution. I'm pretty sure that every wing can be expressed as an advanced chain - so even if it's 'possible' to kill a fly with an AK 47, it could have been just as easily killed.. . oh, never mind! I like BOTH Marty's!
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RobertRattley



Joined: 24 Jun 2007
Posts: 118
Location: Australia

PostPosted: Sun Mar 04, 2018 3:33 am    Post subject: Reply with quote

I (also?) will continue to assume all puzzles on this site need at most only X, XY and XYZ wings, unless and until we find that assumption is no longer correct.
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Sun Mar 04, 2018 4:27 am    Post subject: Reply with quote

RobertRattley wrote:
I (also?) will continue to assume all puzzles on this site need at most only X, XY and XYZ wings, unless and until we find that assumption is no longer correct.


That is correct.
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