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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Tue Mar 24, 2009 7:27 pm Post subject: Set XY_01 Puzzle 3 |
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Code: | +-----------------------+
| . . . | 6 . . | 4 . 3 |
| . 7 9 | . . 3 | 2 . . |
| . 1 . | 2 . 4 | . 9 7 |
|-------+-------+-------|
| 8 . 5 | 1 6 . | . . 9 |
| . . . | 3 . . | . . . |
| . 3 6 | . . . | . . . |
|-------+-------+-------|
| 1 9 . | . . . | . 6 . |
| . . 2 | . . . | 9 . . |
| 3 . 7 | 4 . . | . . . |
+-----------------------+
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Play this puzzle online at the Daily Sudoku site |
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tlanglet
Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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Posted: Tue Mar 24, 2009 7:53 pm Post subject: |
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My second step turn out to be a one-step solution. Quote: | xy-wing378 with pivot <37> at r8c8 and transporting <8> at pincer r8c5 to r3c7 via r3c5 |
Ted |
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gindaani
Joined: 06 Mar 2009 Posts: 79
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Posted: Tue Mar 24, 2009 9:26 pm Post subject: |
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tlanglet wrote: | My second step turn out to be a one-step solution. Quote: | xy-wing378 with pivot <37> at r8c8 and transporting <8> at pincer r8c5 to r3c7 via r3c5 |
Ted |
So that could potentially eliminate 8 from r3c2 and r8c7. I don't have any 8s there, so the 378 xy-wing with transported 8s make no eliminations.
Can you post your board prior to your final step? |
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gindaani
Joined: 06 Mar 2009 Posts: 79
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Posted: Tue Mar 24, 2009 10:21 pm Post subject: |
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I solved it with two steps.
Quote: | 378 xy-wing transporting 8 at r8c4 to r3c5
85-58-87-75-52-27-78 => r5c8<>8 |
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wapati
Joined: 10 Jun 2008 Posts: 472 Location: Brampton, Ontario, Canada.
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Posted: Wed Mar 25, 2009 3:41 am Post subject: |
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Single step W-wing for me. |
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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Wed Mar 25, 2009 10:58 am Post subject: |
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gindaani wrote: | tlanglet wrote: | My second step turn out to be a one-step solution. |
Can you post your board prior to your final step? |
I hope it's okay with Ted that I answer your question.
Code: | a b c d e
XY-Wing : [r5c8]+[r8c8]+[r8c5]
transport: [r8c5]=8 => [r3c5]<>8 => [r3c7]=8
Q.E.D. : [r5c8]=8 or [r3c7]=8
*-----------------------------------------------------------*
| 2 5 8 | 6 7 9 | 4 1 3 |
| 4 7 9 | 58 1 3 | 2 5-8 6 |
| 6 1 3 | 2 d58 4 |e58 9 7 |
|-------------------+-------------------+-------------------|
| 8 24 5 | 1 6 27 | 37 2347 9 |
| 9 24 1 | 3 245 78 | 6 a78 25 |
| 7 3 6 | 9 245 258 | 15-8 2458 125 |
|-------------------+-------------------+-------------------|
| 1 9 4 | 57 235 25 | 37 6 8 |
| 5 6 2 | 78 c38 1 | 9 b37 4 |
| 3 8 7 | 4 9 6 | 15 25 125 |
*-----------------------------------------------------------*
XY-Chain : (8=7)a - (7=3)b - (3=8)c - (8=5)d = (5=8)e
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tlanglet
Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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Posted: Wed Mar 25, 2009 1:54 pm Post subject: |
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I just got back online and found this post.
Thanks Danny for your input. Your code and solution are dead-on.
Ted |
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gindaani
Joined: 06 Mar 2009 Posts: 79
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Posted: Wed Mar 25, 2009 7:09 pm Post subject: |
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OK, Ted's xy-wing with transported pincers is the same as my xy-chain
I missed the easy elimination of the 8s in r56c5 by the fact that 8s in c6 are all in box 5. What is that called? Perhaps box claiming or house claiming?
Anyway, I used a different 378 xy-wing with transported pincer to eliminate the 8s in r56c5. After that we had the same solution by different names.
All xy-wings are xy-chains too! |
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