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Puzzle 10/08/01: Bonus XY+

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sun Aug 01, 2010 6:03 pm    Post subject: Puzzle 10/08/01: Bonus XY+ Reply with quote

Code:
 +-----------------------+
 | 9 . . | 4 2 . | . . . |
 | . . 3 | 9 . . | . 4 . |
 | . 7 4 | 8 1 5 | . . 9 |
 |-------+-------+-------|
 | 7 6 9 | 5 . 2 | 4 . . |
 | 1 . 2 | . 8 7 | . . . |
 | . . 8 | 1 9 . | 6 . . |
 |-------+-------+-------|
 | . . . | 3 . 8 | 1 . . |
 | . 8 . | . . . | . 3 . |
 | . . 7 | . . . | . . 4 |
 +-----------------------+

Play this puzzle online at the Daily Sudoku site
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK

PostPosted: Sun Aug 01, 2010 9:04 pm    Post subject: Reply with quote

Went hunting for another almost-turbot move .. this time a grouped kite Very Happy
Code:
*--------------------------------------------------------------------*
 | 9      15     156    | 4      2      3      | 7      18     1568   |
 | 8      125*   3      | 9      7      6      | 25*    4      125*   |
 | 26     7      4      | 8      1      5      | 3      26*    9      |
 |----------------------+----------------------+----------------------|
 | 7      6      9      | 5      3      2      | 4      18     18     |
 | 1      4      2      | 6      8      7      | 59     59     3      |
 | 35     35     8      | 1      9      4      | 6      27&    27     |
 |----------------------+----------------------+----------------------|
 | 2456   59-2   56     | 3      456    8      | 1      25679*  2567  |
 | 2456   8      156    | 7      456    19     | 259    3      256    |
 | 356    1359   7      | 2      56     19     | 8      569    4      |
 *--------------------------------------------------------------------*

Almost grouped kite - kite has pincers r2c2 and r7c8 eliminating 2 in r7c2 with fin r6c8. Fin forces 9 in r7c2 via SL on 7 and 9.
Code:

GroupedKite(2)[(2)r2c2=r2c79 - r3c8=r7c8]=(2-7)r6c8=(7-9)r7c8=r7c2; r7c2<>2
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Mogulmeister



Joined: 03 May 2007
Posts: 1151

PostPosted: Mon Aug 02, 2010 10:32 am    Post subject: Reply with quote

On reflection, I see mine has used a section of Peter's nice AIC/Grouped Kite: I think I'll call this the bastard cousin:

(2=6)r3c8-(6=59)r59c8-(9)r7c8=(9-2)r7c2=r2c2-(2)r3c1; r3c1<>2

Especially as I might even have stopped before going into the red. Smile
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Mon Aug 02, 2010 3:12 pm    Post subject: Reply with quote

This puzzle was a real eye opener for me because I almost never check for Kraken fish. While reviewing Peter's solution, I discovered an almost/ Kraken X-Wing with one direct fin cell and one indirect fin cell. The indirect fin cell is the one discovered by Peter.

Code:
 Almost/Kraken X-Wing c18\r37 w/fins (#)r8c1 and (@)r6c7
 +-----------------------------------------------------------------------+
 |  9      15     156    |  4      2      3      |  7      18     1568   |
 |  8      125    3      |  9      7      6      |  25     4      125    |
 | *26     7      4      |  8      1      5      |  3     *26     9      |
 |-----------------------+-----------------------+-----------------------|
 |  7      6      9      |  5      3      2      |  4      18     18     |
 |  1      4      2      |  6      8      7      |  59     59     3      |
 |  35     35     8      |  1      9      4      |  6     @27     27     |
 |-----------------------+-----------------------+-----------------------|
 | *2456   59-2   56     |  3      456    8      |  1     *25679  2567   |
 | #2456   8      156    |  7      456    19     |  259    3      256    |
 |  356    1359   7      |  2      56     19     |  8      569    4      |
 +-----------------------------------------------------------------------+
 # 58 eliminations remain

The best my solver could do was find a network equivalent to the Kraken X-Wing:

(2-9)r7c2 = { (9-7)r7c8 = (7-2)r6c7 } = (2)r3c8 - r3c1 = r78c1 - (2)r7c2

The part in blue results in all of the 2s in [c1] being eliminated. The part in green turns this contradiction into a discontinuous loop.

I didn't see Mogulmeister's ANP(). Nice find!
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