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AAALS-XY-Wing Example

 
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Bud



Joined: 06 May 2010
Posts: 47
Location: Tampa, Florida

PostPosted: Sun Aug 08, 2010 4:17 pm    Post subject: AAALS-XY-Wing Example Reply with quote

I assume that this is rare since I have never seen one before, so I thought I would pass it on. The pivot for the Wing is the 1239 AAALS cell A. This is singly linked to 18 celll C and triply linked to 2389 ALS B. The logic is simple. If A = 1, C=8 and R6C6<8> R6C6<>8.

AAALS-XY-Wing Example
Code:

 |---------------------+--------------------+--------------------|
 | 12569  1259      8  |  259     3      7  |  269  1269      4  |
 |    7   1249  123469 |  249     8     14  | 2369     5    126  |
 | 12359  12459  12349 | 2459   129      6  | 2389  12389     7  |
 |---------------------+--------------------+--------------------|
 | 1239A     6      5  | 2379  1279     18C |  249   249     28  |
 |    4   12789  1279  |  269  1269    158  | 2569   269      3  |
 |  239B   289B   239B | 23469  269    45-8 |    1     7   2568  |
 |---------------------+--------------------+--------------------|
 | 12569 124579 124679 |    8    67     39  | 23456 12346  1256  |
 |  156      3    167  |   67     4      2  |  568   168      9  |
 |    8    249   2469  |    1     5     39  |    7   2346    26  |
 |---------------------+--------------------+--------------------|


This example is todays Tough puzzle at Sudoku.com.au.
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Sun Aug 08, 2010 5:34 pm    Post subject: Reply with quote

I have an alternate perspective on your cells.

Code:
 (8=239=1)r6c213,r4c1 - (1=8)r4c6  =>  r6c6<>8
 +--------------------------------------------------------------------------------+
 |  12569   1259    8       |  259     3       7       |  269     1269    4       |
 |  7       1249    123469  |  249     8       14      |  2369    5       126     |
 |  12359   12459   12349   |  2459    129     6       |  2389    12389   7       |
 |--------------------------+--------------------------+--------------------------|
 | A239+1   6       5       |  2379    1279   B18      |  249     249     28      |
 |  4       12789   1279    |  269     1269    158     |  2569    269     3       |
 | A239    A29+8   A239     |  23469   269     45-8    |  1       7       2568    |
 |--------------------------+--------------------------+--------------------------|
 |  12569   124579  124679  |  8       67      39      |  23456   12346   1256    |
 |  156     3       167     |  67      4       2       |  568     168     9       |
 |  8       249     2469    |  1       5       39      |  7       2346    26      |
 +--------------------------------------------------------------------------------+
 # 151 eliminations remain

I'm fairly sure this translates into an ALS XZ where:

Code:
A = 82391   r6c213,r4c1
B = 8   1          r4c6
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Bud



Joined: 06 May 2010
Posts: 47
Location: Tampa, Florida

PostPosted: Sun Aug 08, 2010 6:10 pm    Post subject: Reply with quote

You are right, Daj. I would call your perspective a ALS-XZ with rcd=1 and cd=8. Either perspective is correct, but I would say that yours makes this a bad post.
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