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Puzzle XY 09/11/27

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sat Nov 28, 2009 5:53 am    Post subject: Puzzle XY 09/11/27 Reply with quote

Return of the XY series of puzzles.

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

Play this puzzle online at the Daily Sudoku site
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Marty R.



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

PostPosted: Sun Nov 29, 2009 12:04 am    Post subject: Reply with quote

I had a tough time with this one. Two XY-Wings, four ERs and a UR and I hit the wall. A Medusa wrap opened up a couple of W-Wings and a Kite, but I needed another Medusa wrap to finish up.
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sun Nov 29, 2009 5:52 am    Post subject: Reply with quote

Marty R. wrote:
I had a tough time with this one. Two XY-Wings, four ERs and a UR and I hit the wall. A Medusa wrap opened up a couple of W-Wings and a Kite, but I needed another Medusa wrap to finish up.

Congratulations Marty on finding a workaround to the M-Wing at the end (where you hit the wall). The rest of your solution matches my solver for the most part -- assuming your UR was a Type 4.
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Marty R.



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

PostPosted: Sun Nov 29, 2009 6:16 am    Post subject: Reply with quote

Yes, it was a Type 4 on 38.
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tlanglet



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

PostPosted: Fri Dec 04, 2009 3:34 am    Post subject: Reply with quote

I spent more time and energy on this puzzle and any other in the recent past.

I started with a xy-wing -589,
then three consecutive ERs on 5,
a w-wing 48,
kite on 8,
xy-wing -459 and then I hit the wall.

I finally found a conflicting chain that eliminated 8 form r7c8 which set up a xy-wing 47-8 to complete the puzzle.

Would you please pass the Scotch bottle!!!

Ted
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Fri Dec 04, 2009 6:36 pm    Post subject: Reply with quote

Yes, I suspected this puzzle would cause problems. Too many eliminations that don't contribute to a solution ... and a rough final step.

Code:
   c3b4  Locked Candidate 1              <> 4    r789c3
 r2  b1  Locked Candidate 1              <> 9    r2c78

         XY-Wing  r6c2/r1c2+r5c1         <> 5    r2c1        extraneous

 c49r3   Skyscraper                      <> 5    r7c5,r9c7   extraneous
 r1c4    2-String Kite                   <> 5    r9c2        extraneous

 r1c1    2-String Kite                   <> 8    r8c5

         XY-Wing  r1c5/r2c6+r8c5         <> 4    r3c5,r89c6

   c6b8  Locked Pair                     <> 38   r7c5        extraneous

 r89c26  <38> UR Type 4                  <> 8    r89c2       extraneous

 gM-Wing: (4=9)r5c7 - r3c7 = (9-4)r3c8 = (4)r7c8  =>  r89c7<>4
 +-----------------------------------------------------------------------+
 |  4      58     2      |  7      58     9      |  1      3      6      |
 |  589    5689   5689   |  3      1      4      |  578    78     2      |
 |  7      1      3      |  56     568    2      | b4589  c489    458    |
 |-----------------------+-----------------------+-----------------------|
 |  3      2      48     |  1      9      7      |  6      5      48     |
 |  59     7      459    |  8      2      6      | a49     1      3      |
 |  6      89     1      |  4      3      5      |  2      789    78     |
 |-----------------------+-----------------------+-----------------------|
 |  2      4568   5678   |  9      4568   1      |  3     d478    4578   |
 |  589    34589  5789   |  2      45     38     |  578-4  6      1      |
 |  1      34568  568    |  56     7      38     |  58-4   2      9      |
 +-----------------------------------------------------------------------+
 # 71 eliminations remain
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