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Bud
Joined: 06 May 2010 Posts: 47 Location: Tampa, Florida
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Posted: Sat Feb 26, 2011 5:34 pm Post subject: Not Quite Multidigit X-Wing (Extended) Example |
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I have found several examples of this technique and not all of them are extended. A multidigit X-Wing consist of 4 cells with 4 conjugate digits. This basic technique uses 4 cells with 3 conjugate digits. I did not call this almost, because I did not use almost techniques to analyze it. If anyone wants to see other examples, I can add some to this post.
054030090000000400200604005005000070000971000010000800400308007538000000090450038
The diagram below shows the puzzle after all basic moves are made.
The cells marked with * in rows2 and 8 is the basic pattern and r6c4 makes this an extended pattern. In the basic pattern row 2 contains a 5 conjugate, row 8 contains a 7 conjugate, and column 6 contains a 9 conjugate. If r2c6=9, r2c4=5 and r2c6=2. If r8c6=9, r8c4=7. This implies that r2c4<>7 and r8c4<>2.
Code: |
+--------------------+-------------------+---------------------+
| 168 5 4 | 1278 3 27 | 1267 9 126 |
| 13689 678 1369 |125-78* 1289 2579*| 4 1268 1236 |
| 2 78 139 | 6 189 4 | 137 18 5 |
+--------------------+-------------------+---------------------+
| 369 246 5 | 28 2468 236 | 12369 7 123469 |
| 368 2468 236 | 9 7 1 | 2356 2456 2346 |
| 3679 1 23679 | 25* 246 2356 | 8 246 23469 |
+--------------------+-------------------+---------------------+
| 4 26 126 | 3 1269 8 | 12569 1256 7 |
| 5 3 8 | 1-27* 1269 2679*| 1269 1246 12469 |
| 167 9 1267 | 4 5 26 | 126 3 8 |
+--------------------+-------------------+---------------------+ |
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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Sat Feb 26, 2011 7:33 pm Post subject: |
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Also, a chain contains a sub-chain with an alternate elimination.
Code: | (2=5)r6c4 - (5)r2c4 = (5-9)r2c6 = (9-7)r8c6 = (7)r8c4 => r8c4<>2
......................................... => r2c4<>7
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