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Puzzle 11/06/04: ~ XY

 
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Sat Jun 04, 2011 4:30 pm    Post subject: Puzzle 11/06/04: ~ XY Reply with quote

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

Play this puzzle online at the Daily Sudoku site
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tlanglet



Joined: 17 Oct 2007
Posts: 2461
Location: Northern California Foothills

PostPosted: Sun Jun 05, 2011 12:59 am    Post subject: Reply with quote

My first two moves combined to do the trick............

Quote:
(3=7)r9c6-r8c46=r8c9-(7=6)r3c9-aur(16)r12c36[(6)r3c1=(1-3)r5c6]; r5c6<>3
aur(36)r12c67[(3)r59c6=(6-7)r3c9]=r1c7-(7=3)r1c5; r12c6<>3

Ted
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peterj



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

PostPosted: Sun Jun 05, 2011 5:19 pm    Post subject: Reply with quote

An xy-chain with an anp ...
Quote:
anp(4=37)r71c5 - (7=9)r3c5 - (9=6)r3c1 - (6=7)r3c9 - (7=4)r8c9 ; r8c4<>4
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Sun Jun 05, 2011 8:56 pm    Post subject: Reply with quote

Ted wrote:
(3=7)r9c6-r8c46=r8c9-(7=6)r3c9-aur(16)r12c36[(6)r3c1=(1-3)r5c6]; r5c6<>3

While reviewing Ted's first step, I noticed a close alternative:

Code:
 +-----------------------------------------------------------------------+
 |  2      8     *16     |  5      37    *16+37% |  367    4      9      |
 |  4      7     *16+9   |  139    2     *16+39% |  36     8      5      |
 |  69     3      5      |  8      79     4      |  1      2      67     |
 |-----------------------+-----------------------+-----------------------|
 |  3      1459   469    |  1479   4579   8      |  4679   17     2      |
 |  79     149    2      |  13479  6      1379   |  479    5      8      |
 |  679    1459   8      |  1479   4579   2      |  4679   137    367    |
 |-----------------------+-----------------------+-----------------------|
 |  8      49     479    |  6      347    5      |  2      379    1      |
 |  1      2      3      |  479    8      79%    |  5      6      47     |
 |  5      6      479    |  2      1      37%    |  8      379    347    |
 +-----------------------------------------------------------------------+
 # 81 eliminations remain

 (3=7)r9c6-r8c46=r8c9-(7=6)r3c9-(6=9)r3c1-(9)r2c3=<16>UR_Type_3  =>  r5c6<>3
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tlanglet



Joined: 17 Oct 2007
Posts: 2461
Location: Northern California Foothills

PostPosted: Mon Jun 06, 2011 2:25 am    Post subject: Reply with quote

peterj wrote:
An xy-chain with an anp ...
Quote:
anp(4=37)r71c5 - (7=9)r3c5 - (9=6)r3c1 - (6=7)r3c9 - (7=4)r8c9 ; r8c4<>4


Peter
, Those anp()s can be clean and deadly.

Ted
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tlanglet



Joined: 17 Oct 2007
Posts: 2461
Location: Northern California Foothills

PostPosted: Mon Jun 06, 2011 2:31 am    Post subject: Reply with quote

Danny,

Great spot! I would never have noticed the locked set in box2 that forces r5c6<>3. Very unusual I think.

I might have noticed that the ls (379)b2q368-(39=1)r2c4-r456c4=(1-3)r5c6

Ted
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Marty R.



Joined: 12 Feb 2006
Posts: 5119
Location: Rochester, NY, USA

PostPosted: Mon Jun 06, 2011 4:50 am    Post subject: Reply with quote

Potential DP (79), b79; common outcome; r9c8=9
M-Wing (47); r7c8<>7
M-Wing (47), flightless; r7c2<>4

(Last move may have been unnecessary because I may have overlooked a naked pair after move #2)

Edited. I did it again and the 3rd move was indeed unnecessary.
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