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Captain Pete
Joined: 09 Jun 2007
Posts: 55
Location: Oley, PA
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 Posted: Mon Sep 17, 2007 11:57 am Post subject: Help on a real hard puzzle |
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I'm stuck here. Any ideas?
| Code: |
+-------+-------+-------+
| 2 5 1 | 9 8 3 | 7 6 4 |
| . . 8 | 5 . . | 3 2 9 |
| . . 3 | . 2 7 | . 1 . |
+-------+-------+-------+
| 3 4 6 | 1 9 8 | 2 5 7 |
| . . . | . 5 . | . . . |
| . . 5 | . . 2 | . . 6 |
+-------+-------+-------+
| . 3 . | . 4 5 | . . . |
| . 8 4 | 2 . . | . . . |
| 5 . . | . . 9 | 6 4 . |
+-------+-------+-------+
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Captain Pete
Joined: 09 Jun 2007
Posts: 55
Location: Oley, PA
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| Posted: Mon Sep 17, 2007 12:25 pm Post subject: Sorry - Additional number |
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C1R6 is an 8. I missed that on my previous post
| Code: |
+-------+-------+-------+
| 2 5 1 | 9 8 3 | 7 6 4 |
| . . 8 | 5 . . | 3 2 9 |
| . . 3 | . 2 7 | . 1 . |
+-------+-------+-------+
| 3 4 6 | 1 9 8 | 2 5 7 |
| . . . | . 5 . | . . . |
| 8 . 5 | . . 2 | . . 6 |
+-------+-------+-------+
| . 3 . | . 4 5 | . . . |
| . 8 4 | 2 . . | . . . |
| 5 . . | . . 9 | 6 4 . |
+-------+-------+-------+
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Steve R
Joined: 24 Oct 2005
Posts: 289
Location: Birmingham, England
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| Posted: Mon Sep 17, 2007 6:13 pm Post subject: |
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You can advance using the wxyz-wing pivoted on r5c4 with pincers r6c4, r6c5 and r3c4. I think two more eliminations based on almost locked sets will then bring you to an easy ride home.
Steve |
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Mogulmeister
Joined: 03 May 2007
Posts: 1151
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| Posted: Mon Sep 17, 2007 8:30 pm Post subject: |
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Steve,
I've probably misread your diagram but doesn't the Z cell have to be seen by all the others ? |
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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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| Posted: Mon Sep 17, 2007 11:59 pm Post subject: |
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With candidates:
| Code: |
GRID 1
+----------------+----------------+----------------+
| 2 5 1 | 9 8 3 | 7 6 4 |
| 47 67 8 | 5 16 146 | 3 2 9 |
| 49 69 3 | 46 2 7 | 58 1 58 |
+----------------+----------------+----------------+
| 3 4 6 | 1 9 8 | 2 5 7 |
| 179 1279 279 | 3467 5 46 | 1489 389 138 |
| 8 179 5 | 347 37 2 | 149 39 6 |
+----------------+----------------+----------------+
| 1679 3 279 | 678 4 5 | 189 789 128 |
| 1679 8 4 | 2 1367 16 | 159 379 135 |
| 5 127 27 | 378 137 9 | 6 4 1238 |
+----------------+----------------+----------------+
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There is a <16> UR in R28C56. With the strong links on <1> and <6>, R8C5 is not <1>, R2C6 is not <6>.
Then, an XY-wing takes out <6> in R7C4, leaving:
| Code: |
GRID 2
+----------------+----------------+----------------+
| 2 5 1 | 9 8 3 | 7 6 4 |
| 47 67 8 | 5 16 14 | 3 2 9 |
| 49 69 3 | 46 2 7 | 58 1 58 |
+----------------+----------------+----------------+
| 3 4 6 | 1 9 8 | 2 5 7 |
| 179 1279 279 | 3467 5 46 | 1489 389 138 |
| 8 179 5 | 347 37 2 | 149 39 6 |
+----------------+----------------+----------------+
| 6 3 279 | 78 4 5 | 189 789 128 |
| 179 8 4 | 2 367 16 | 59 379 35 |
| 5 127 27 | 378 137 9 | 6 4 238 |
+----------------+----------------+----------------+ |
Still working on it ...
Keith |
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Asellus
Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA
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| Posted: Tue Sep 18, 2007 12:33 am Post subject: |
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| I got to the same place as Keith slightly differently. I Medusa colored {16} in those UR cells, which eliminated the <6>s in R7C4 and R8C1. After that, I still had to do the UR eliminations. |
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Steve R
Joined: 24 Oct 2005
Posts: 289
Location: Birmingham, England
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| Posted: Tue Sep 18, 2007 12:44 am Post subject: |
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MM
Starting from Keith’s GRID 1 I think the wing I mentioned eliminates 6 from r7c4. As a consequence 1 is eliminated from r9c9.
Next came the almost locked sets r3c24 and r6c458. Finally, r6c25 and r9c2349 finish the work.
Steve |
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Asellus
Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA
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| Posted: Tue Sep 18, 2007 1:44 am Post subject: |
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Steve,
I don't really see how your first wing eliminates that <6>. But, as already noted, there are other ways to eliminate it.
I saw the <9> elimination in R6C2 as the result of an ALS Chain, which is basically the same as your rather more elegant ALS.
I don't see how your final ALS involving the 4 cells in R9 works. I can see a shared exclusive of <1> but can't see a shared common that results in eliminations.
However, at this point in the puzzle, I noticed something that I found interesting involving, yes, Medusa coloring again!
| Code: | +------------------+------------------+------------------+
| 2 5 1 | 9 8 3 | 7 6 4 |
| 4r7g 6g7r 8 | 5 1g6r 1r4g | 3 2 9 |
| 4g9r 6r9g 3 | 4r6g 2 7 | 58 1 58 |
+------------------+------------------+------------------+
| 3 4 6 | 1 9 8 | 2 5 7 |
| 1g79 1279 279 | 346r7 5 4r6g | 148 38 138 |
| 8 17 5 | 347 37 2 | 149 39 6 |
+------------------+------------------+------------------+
| 6 3 279 | 78 4 5 | 189 789 128 |
| 1r79 8 4 | 2 36g7 1g6r | 59 379 35 |
| 5 1g27 27 | 378 1r37 9 | 6 4 238 |
+------------------+------------------+------------------+ |
Note that C2 contains a "red" <7> and a "green" <1> and an uncolored {17} bivalue cell. The other <1>s and <7>s can be removed from this column (i.e. <1> and <7> in R5C2 and <7> in R9C2). |
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Asellus
Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA
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| Posted: Tue Sep 18, 2007 2:20 am Post subject: |
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PS:
I see how that first ALS "wing" works now to eliminate the <6>. |
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