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Louise56
Joined: 21 Sep 2005 Posts: 94 Location: El Cajon, California USA
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Posted: Sat Jun 05, 2010 6:18 pm Post subject: June 5 DB |
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Usually someone else posts and I check my efforts against theirs. I'm not sure what the technique is called but in r8c6 there is a 14 pair. Whether it is a 1 or a 4, the 3 in r4c9 will be eliminated. Then you have a 239 y-wing with the pivot in r5c8. |
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Louise56
Joined: 21 Sep 2005 Posts: 94 Location: El Cajon, California USA
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Posted: Sat Jun 05, 2010 6:25 pm Post subject: |
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It is less confusing if you look at the 47 pair in r4c6. Whether it is a 4 or a 7 the 3 in r4c9 is eliminated. |
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Marty R.
Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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Louise56
Joined: 21 Sep 2005 Posts: 94 Location: El Cajon, California USA
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Posted: Sun Jun 06, 2010 9:41 pm Post subject: |
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Thanks Marty. I have never posted code before. Thanks for the directions. This puzzle was in my newspaper on Saturday. Every Sat there is a 6 star puzzle that requires advanced techniques. Someone always posts how they solved it, but not this week. The code looks a bit sloppy but here it is:
+---------+--------------+-----------+
| 1 5 4 | 8 7 3 | 2 9 6 |
| 6 7 9 | 4 1 2 | 3 8 5 |
| 2 3 8 | 9 56 56 | 1 7 4 |
+---------+--------------+-----------+
| 379 8 5 | 37 24 47 | 6 1 239 |
| 39 4 1 | 36 256 568 | 7 23 2389 |
| 37 2 6 | 137 9 178 | 4 5 38 |
+---------+--------------+-----------+
| 8 9 3 | 167 46 1467 | 5 24 12 |
| 5 6 7 | 2 8 14 | 9 34 13 |
| 4 1 2 | 5 3 9 | 8 6 7 |
+---------+--------------+-----------+ |
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Mogulmeister
Joined: 03 May 2007 Posts: 1151
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Posted: Sun Jun 06, 2010 9:57 pm Post subject: |
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Hope this helps
Code: |
+----------------+----------------+----------------+
| 1 5 4 | 8 7 3 | 2 9 6 |
| 6 7 9 | 4 1 2 | 3 8 5 |
| 2 3 8 | 9 56 56 | 1 7 4 |
+----------------+----------------+----------------+
| 379 8 5 | 37 24 47 | 6 1 239 |
| 39 4 1 | 36 256 568 | 7 23 2389 |
| 37 2 6 | 137 9 178 | 4 5 38 |
+----------------+----------------+----------------+
| 8 9 3 | 167 46 1467 | 5 24 12 |
| 5 6 7 | 2 8 14 | 9 34 13 |
| 4 1 2 | 5 3 9 | 8 6 7 |
+----------------+----------------+----------------+
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Louise56
Joined: 21 Sep 2005 Posts: 94 Location: El Cajon, California USA
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Posted: Sun Jun 06, 2010 10:01 pm Post subject: |
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Thanks so much for posting it. What did I do wrong? |
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Marty R.
Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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Posted: Sun Jun 06, 2010 10:10 pm Post subject: |
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Louise, what you have described is two different bivalue cells. Looking at each cell, either of the two values will cause the same result in another cell.
That looks to me like a Forcing Chain. |
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peterj
Joined: 26 Mar 2010 Posts: 974 Location: London, UK
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Posted: Sun Jun 06, 2010 10:28 pm Post subject: |
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Louise, the way you descibe it is as a forcing chain - as Marty says. But a more useful and politcally acceptable way to look at it is an xy-chain (one of my favourites!).
You can write it like this...
(3=7)r4c4-(7=4)r4c6-(4=1)r8c6-(1=3)r8c9; r4c9<>3
which means
if r4c4 is not 3 then it's 7, and so r4c6 is not 7 and so it's 4, and so r8c6 is not 4 and so it's 1 etc. till r8c9 is 3
This type of chain is a double implication chain which means it's reversible so you can play it backwards - one end of the chain must be a 3 (or both could be 3) and so anything seen by both ends can't be a 3.
Hence your elimination - good spot! |
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Louise56
Joined: 21 Sep 2005 Posts: 94 Location: El Cajon, California USA
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Posted: Sun Jun 06, 2010 11:20 pm Post subject: |
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Thank-you Peter and Marty. I have the code figured out now so I won't hesitate to post next time. |
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keith
Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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Posted: Mon Jun 07, 2010 4:18 am Post subject: |
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Mogulmeister wrote: | Hope this helps
Code: |
+----------------+----------------+----------------+
| 1 5 4 | 8 7 3 | 2 9 6 |
| 6 7 9 | 4 1 2 | 3 8 5 |
| 2 3 8 | 9 56 56 | 1 7 4 |
+----------------+----------------+----------------+
| 379 8 5 | 37 24 47 | 6 1 239 |
| 39 4 1 | 36 256 568 | 7 23 2389 |
| 37 2 6 | 137 9 178 | 4 5 38 |
+----------------+----------------+----------------+
| 8 9 3 | 167 46 1467 | 5 24 12 |
| 5 6 7 | 2 8 14 | 9 34 13 |
| 4 1 2 | 5 3 9 | 8 6 7 |
+----------------+----------------+----------------+
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And, please always post the original puzzle.
In addition, if you wish, post the point where you are stuck.
Posting the original puzzle is important, because the logic of uniqueness patterns depends on the initial clues.
For example, in the given position, R3C6 must be 5 in the 26 UR R23C16. Unless some of the UR values are initial clues.
Keith |
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tlanglet
Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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Posted: Mon Jun 07, 2010 12:22 pm Post subject: Re: June 5 DB |
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Louise56 wrote: | Usually someone else posts and I check my efforts against theirs. I'm not sure what the technique is called but in r8c6 there is a 14 pair. Whether it is a 1 or a 4, the 3 in r4c9 will be eliminated. Then you have a 239 y-wing with the pivot in r5c8. |
Another view of this configuration is as a xy-wing 1-34 with vertex 14 in r8c6, pincer 13 in r8c9 and pincer 34 a pseudocell in r4c46 which deletes the three in r4c9.
I believe that it was Keith that first introduced me to the use of two bivalue cells that function as a single bivalue and he used the term pseudocell.
Note that when viewed as a xy-wing, I find this pattern much easier to find than as a xy-chain (which I normally only spot when looking for other patterns).
Finally, do not forget to check for additional deletions by extending/transporting any two pincers. In this case (3) in r8c9 means that r456c9 is not a three, so that r5c8=3 thereby providing a second deletion: r5c4<>3; or annotated as a chain: (3)r8c9 - (3)r456c9 = (3)r5c8; r5c4<>3. Here, this extra deletion does not solve this puzzle, but it is another opportunity and more than once it was the magic button to complete a puzzle.
Ted |
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