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Puzzle NR_022

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Mon May 18, 2009 3:55 pm    Post subject: Puzzle NR_022 Reply with quote

Hey!!! My puzzle generator selected a pattern similar to the business end of an arrow.

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

Play this puzzle online at the Daily Sudoku site

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

Play this puzzle online at the Daily Sudoku site

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arkietech



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

PostPosted: Mon May 18, 2009 5:29 pm    Post subject: Reply with quote

Two steps:
Quote:
xyz-wing 578
w-wing 72 on 2

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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Mon May 18, 2009 7:21 pm    Post subject: Reply with quote

Dan,
I assume this is your grid after the xyz-wing on {5,7,8} ?
if so, I don't see the w-wing {2,7}... unless you used another 578 xyz-wing I didn't see.
or maybe the w-wing was extended.
Code:
.------------------.------------------.------------------.
| 8     5     6    | 2     4     7    | 139   139   13   |
| 9     2     3    | 1     5     8    | 4     6     7    |
| 4     7     1    | 3     9     6    | 5     8     2    |
:------------------+------------------+------------------:
| 2     3     58   | 578   78    1    | 9     4     6    |
| 7     6     4    | 9     3    *25   |*12   *125   8    |
| 1     9     58   | 6     28    4    | 7    *235   35   |
:------------------+------------------+------------------:
| 5     18    9    | 78    1278  3    | 6    *27    4    |
| 6     18    27   | 4     1278  9    | 28    35    35   |
| 3     4    *27   | 578   6    *25   | 128  12-7   9    |
'------------------'------------------'------------------'

the extended, convoluted w-wing would be marked above.
(7=2)r7c8 - (2)r56c8 = (2)r5c7 - (2)r5c6 = (2)r9c6 - (2=7)r9c3; r9c8 <> 7
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arkietech



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

PostPosted: Mon May 18, 2009 9:07 pm    Post subject: Reply with quote

storm_norm wrote:
Dan,
I assume this is your grid after the xyz-wing on {5,7,8} ?
if so, I don't see the w-wing {2,7}... unless you used another 578 xyz-wing I didn't see.
or maybe the w-wing was extended.
Code:
.------------------.------------------.------------------.
| 8     5     6    | 2     4     7    | 139   139   13   |
| 9     2     3    | 1     5     8    | 4     6     7    |
| 4     7     1    | 3     9     6    | 5     8     2    |
:------------------+------------------+------------------:
| 2     3     58   | 578   78    1    | 9     4     6    |
| 7     6     4    | 9     3    *25   |*12   *125   8    |
| 1     9     58   | 6     28    4    | 7    *235   35   |
:------------------+------------------+------------------:
| 5     18    9    | 78    1278  3    | 6    *27    4    |
| 6     18    27   | 4     1278  9    | 28    35    35   |
| 3     4    *27   | 578   6    *25   | 128  12-7   9    |
'------------------'------------------'------------------'

the extended, convoluted w-wing would be marked above.
(7=2)r7c8 - (2)r56c8 = (2)r5c7 - (2)r5c6 = (2)r9c6 - (2=7)r9c3; r9c8 <> 7


Norm,

Thanks for keeping me straight. Embarassed I omitted an x-wing on 2 r67c58
You got to the same place with your convolution. I like it. Very Happy
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tlanglet



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

PostPosted: Wed May 20, 2009 9:03 pm    Post subject: Reply with quote

I think I also had a convoluted solution, but it was the entire sequence of eight simple steps. In fact my first step was a x-wing 2 in r67c58 and step 7 was a xyz-wing on 578, so maybe steps two through six were not even required to solve the puzzle.

Ted
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Marty R.



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

PostPosted: Sat May 23, 2009 5:10 am    Post subject: Reply with quote

I used the 578 XYZ-Wing, two Type 4 URs on 18 and 35, and an XY-Chain.
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