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Puzzle XY 09/12/15 BBDB+++

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Tue Dec 15, 2009 5:33 pm    Post subject: Puzzle XY 09/12/15 BBDB+++ Reply with quote

As the intro to Monk goes ... It's a jungle out there!

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

Play this puzzle online at the Daily Sudoku site

[Edit: changed classification from NR to XY.]


Last edited by daj95376 on Wed Dec 16, 2009 11:17 pm; edited 1 time in total
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

PostPosted: Wed Dec 16, 2009 8:40 pm    Post subject: Reply with quote

I do try to reduce the number of steps by looking for backdoors and removing uncessary steps. I have worked this one down to six steps needed. two x-wings, a kite, a skyscraper, a w-wing and an xyz-wing. A good puzzle. I have yet to find the door. Has anyone had better luck?
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Wed Dec 16, 2009 11:33 pm    Post subject: Reply with quote

arkietech wrote:
I do try to reduce the number of steps by looking for backdoors and removing uncessary steps. I have worked this one down to six steps needed. two x-wings, a kite, a skyscraper, a w-wing and an xyz-wing. A good puzzle. I have yet to find the door. Has anyone had better luck?

The W-Wing (or a gM-Wing) is probably as good as it gets. For added adventure, try bypassing any W-Wing or gM-Wing.
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tlanglet



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

PostPosted: Thu Dec 17, 2009 1:04 am    Post subject: Reply with quote

I started with the obvious x-wing 9, and then I found a w-wing 36.

At that point I struggled until I found a xyz-wing 469 that I have previously missed! I sure paid the price on overlooking this move previously.

Straightforward skyscraper on 6 and an ER on 6 completed the puzzle.

Ted
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Marty R.



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

PostPosted: Thu Dec 17, 2009 8:31 pm    Post subject: Reply with quote

I used four ERs, all on 9, then a Hidden UR on 67, then stuck. A Medusa wrap opened things up, after which a flightless XY-Wing on 673 with pincer transport finished it off.
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Thu Dec 17, 2009 10:34 pm    Post subject: Reply with quote

This puzzle was exceptionally difficult. Congratulations to all who completed it Exclamation

Code:
   c49   X-Wing                          <> 9    r16c67   -or-
 r34     X-Wing                          <> 9    r16c67

 <49+6>  XYZ-Wing r1c4/r3c6+r8c4         <> 6    r2c4

 c24r1   Skyscraper                      <> 6    r8c1,r9c5

   c5b9  Empty Rectangle                 <> 6    r4c8   -or-
 r8c5    2-String Kite                   <> 6    r4c8

   c48   X-Wing                          <> 6    r1c2679

Puzzle can be cracked at this point.

Code:
 -3r4c5  6r4c5  6r8c4  3r8c8  [ W-Wing ]   <> 3    r4c8         cracks puzzle
 -6r4c6  7r4c6  7r1c8  6r1c4  [gM-Wing ]   <> 6    r2c6         cracks puzzle
 -6r8c8  3r8c8  3r4c5  6r7c5  [gM-Wing ]   <> 6    r7c79,r8c4   cracks puzzle
 +-----------------------------------------------------+
 |  1    2    5    |  46   8    34   |  37   367  9    |
 |  8    9    7    |  5    2    36   |  1    4    36   |
 |  6    3    4    |  7    1    9    |  2    5    8    |
 |-----------------+-----------------+-----------------|
 |  2    4    8    |  1    36   67   |  9    37   5    |
 |  9    7    3    |  8    5    24   |  46   1    246  |
 |  5    1    6    |  9    34   247  |  347  8    234  |
 |-----------------+-----------------+-----------------|
 |  37   8    1    |  2    67   5    |  346  9    346  |
 |  34   5    2    |  46   9    1    |  8    36   7    |
 |  47   6    9    |  3    47   8    |  5    2    1    |
 +-----------------------------------------------------+
 # 32 eliminations remain

If you bypass the W-Wing and gM-Wings, then the challenge continues.

Code:
 <47+3>  XYZ-Wing r6c7/r4c8+r6c5         <> 3    r6c9

 r56c69  <24> UR Type 6                  <> 2    r5c9,r6c6

 <34+7>  XY-Wing  r1c6/r1c7+r6c6         <> 7    r6c7   -or-
 <47+3>  XY-Wing  r6c6/r1c6+r6c7         <> 3    r1c7
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