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Helmut 3-27 Advanced

 
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Wed Mar 30, 2011 9:58 pm    Post subject: Helmut 3-27 Advanced Reply with quote

I found an interesting move in this one:
Code:
HS032710adv
+-------+-------+-------+
| 4 . 8 | . . 2 | . . . |
| . . . | 5 . . | . 7 3 |
| . 9 . | . . . | 5 . . |
+-------+-------+-------+
| 5 . . | . 3 . | . . . |
| 7 . . | 6 . 8 | . . 1 |
| . . . | . 2 . | . . 8 |
+-------+-------+-------+
| . . 5 | . . . | . 6 . |
| 6 3 . | . . 4 | . . . |
| . . . | 8 . . | 3 . 2 |
+-------+-------+-------+

Play this puzzle online at the Daily Sudoku site

Keith
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Thu Mar 31, 2011 1:01 am    Post subject: Reply with quote

I doubt that I found the interesting move. A Skyscraper forced r5c7<>4 which exposed a flightless XY-Wing (294). The transport forced r9c8<>4.

The only other move that I spotted was what looked to be a non-productive Finned X-Wing on 4. I look forward to seeing your interesting move.
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Thu Mar 31, 2011 1:44 am    Post subject: Reply with quote

After basics:
Code:
+----------------+----------------+----------------+
| 4    5    8    | 3    7    2    | 169  19   69   |
| 2    16   16   | 5    4    9    | 8    7    3    |
| 3    9    7    | 1    8    6    | 5    2    4    |
+----------------+----------------+----------------+
| 5    8    126  | 49   3    17   | 267  49   67   |
| 7    24   249  | 6    5    8    | 249  3    1    |
| 19   146  3    | 49   2    17   | 4679 5    8    |
+----------------+----------------+----------------+
| 8    124  5    | 27   19   3    | 1479 6    79B  |
| 6    3    129  | 27   19A  4    | 179C 8    5    |
| 19   7    149  | 8    6    5    | 3   14-9  2    |
+----------------+----------------+----------------+
Note the useless 17-9 XYZ-wing ABC.

However, <9> in A can be transported to either B7R9 or B9R7, making the elimination shown in R9C8.

This is the first time I have ever found this, though I have seen it once before.

After that, a transported W-wing 1-9 solves R4C8 <4> to finish it off.

Given what Marty found, it seems there are probably a number of paths through this one.

Keith
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Thu Mar 31, 2011 3:47 am    Post subject: Reply with quote

I saw that XYZ-Wing but the only transport I noticed was from cell B to A. I should've looked further.
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Thu Mar 31, 2011 3:49 am    Post subject: Reply with quote

Keith,

I have found and posted this pattern a few times. I believe that it was 'Luke" that indicated this is referred to as a "Kraken" xyz-wing.

I found some two step solutions using regular and/or almost moves but missed your interesting step.

Ted
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ronk



Joined: 07 May 2006
Posts: 398

PostPosted: Thu Mar 31, 2011 4:30 am    Post subject: Reply with quote

keith wrote:
Note the useless 17-9 XYZ-wing ABC.

However, <9> in A can be transported to either B7R9 or B9R7, making the elimination shown in R9C8.

This is the first time I have ever found this, though I have seen it once before.

Nice find, with transport to "B7R9" the slightly more elegant choice IMO. Why more elegant? No end-node overlap and no awkward box notation. I don't see either as being "kraken."

B7R9: (9=7)r7c9 - (7=19)als:r8c57 - (9)r8c3 = (9)r9c13 ==> r9c8<>9

B9R7: (9=71)als:[r7c9,r8c7] - (1=9)r8c5 - (9)r7c5 = (9)r7c79 ==> r9c8<>9

[edits: virtually a 100% rewrite]


Last edited by ronk on Thu Mar 31, 2011 11:44 am; edited 2 times in total
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Thu Mar 31, 2011 5:08 am    Post subject: Reply with quote

When I first saw this technique discussed, it was referred to as an XYZ-Transport. That seems much more descriptive than Kraken, which means nothing to me other than it sounds like an Eastern European name. Laughing
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Thu Mar 31, 2011 4:35 pm    Post subject: Reply with quote

Quote:
I have found and posted this pattern a few times.


Yes, I will have to change the way I look for XYZ-wings. I usually look in each box. In this case I would find 179 and 79 in B9. Then, I would look for 17 or 19 in C7, because there is a potential elimination in R7C7. I would not normally look in R8, for there are no possible eliminations in R8C89.

Keith
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