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Bud
Joined: 06 May 2010
Posts: 47
Location: Tampa, Florida
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 Posted: Sun Aug 08, 2010 4:17 pm Post subject: AAALS-XY-Wing Example |
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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: 3854
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| Posted: Sun Aug 08, 2010 5:34 pm Post subject: |
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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
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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
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| Posted: Sun Aug 08, 2010 6:10 pm Post subject: |
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| 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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