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VH + skyscraper + w-wing

 
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ravel



Joined: 21 Apr 2006
Posts: 536

PostPosted: Wed Mar 12, 2008 9:47 am    Post subject: VH + skyscraper + w-wing Reply with quote

Code:
 +-------+-------+-------+
 | 5 . . | . 6 . | . . . |
 | . . 6 | 5 1 . | 9 . . |
 | . 7 . | . . 8 | . . . |
 +-------+-------+-------+
 | . 5 . | 1 . 7 | . . . |
 | 2 3 . | . 8 . | . . . |
 | . . 1 | 2 . . | 4 . . |
 +-------+-------+-------+
 | . 8 . | . . 5 | . 7 . |
 | . . . | . . . | 8 1 . |
 | . . . | . . . | . . 6 |
 +-------+-------+-------+
>>> play online
Found this in the collection, solvable with 7 (maybe less) applications out of x/y/z- or w-wings and skyscrapers.
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Wed Mar 12, 2008 10:20 pm    Post subject: Reply with quote

After basics ...
Code:
+-------------------+-------------------+-------------------+
| 5     1     23489 | 7     6     2349  | 23    2348  2348  |
| 348   24    6     | 5     1     234   | 9     2348  7     |
| 349   7     2349  | 349   2349  8     | 1     6     5     |
+-------------------+-------------------+-------------------+
| 489   5     489   | 1     349   7     | 6     239   239   |
| 2     3     49    | 49    8     6     | 7     5     1     |
| 7     6     1     | 2     5     39    | 4     389   389   |
+-------------------+-------------------+-------------------+
| 1     8     234   | 6     2349  5     | 23    7     2349  |
| 6     249   5     | 349   7     2349  | 8     1     2349  |
| 34    249   7     | 8     2349  1     | 5     2349  6     |
+-------------------+-------------------+-------------------+
Keith
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Wed Mar 12, 2008 11:13 pm    Post subject: Reply with quote

this is my order of use...

2 coloring eliminations on 9
x-wing on 3
xyz-wing [249} in box 8 removes a 4
then 2 coloring eliminations on 4
then medusa
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Marty R.



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

PostPosted: Thu Mar 13, 2008 1:09 am    Post subject: Reply with quote

Thanks Ravel, a fascinating puzzle. My list of steps:

ER on 9
Skyscraper on 9
X-Wing on 3
XYZ-Wing on 249
W-Wing on 34, with 4 as the pincers
Three separate colorings on the pincers of the above W-Wing.
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Victor



Joined: 29 Sep 2005
Posts: 207
Location: NI

PostPosted: Fri Mar 14, 2008 7:27 pm    Post subject: Reply with quote

Thanks Ravel, for several nice puzzles (after a sudoku holiday). Particularly liked this one & Wings again.

There are single-digit moves, quite common, that don't seem to be easily categorised. Here, either 9 in c1 produces a not-9 in r6c6. One of these is 'proper' ER logic, the other not quite. Disapproved of by theoreticians as being theoretically T & E?
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ravel



Joined: 21 Apr 2006
Posts: 536

PostPosted: Fri Mar 14, 2008 9:35 pm    Post subject: Reply with quote

Nice catch, Victor, i see it as 3 (grouped) strong links.
Code:
 *--------------------------------------------------------------------*
 | 5      1      23489  | 7      6     #2349   | 23     2348   2348   |
 | 348    24     6      | 5      1      234    | 9      2348   7      |
 |#349    7      2349   |@349   @2349   8      | 1      6      5      |
 |----------------------+----------------------+----------------------|
 |@489    5      489    | 1      349    7      | 6     #239   #239    |
 | 2      3      49     | 49     8      6      | 7      5      1      |
 | 7      6      1      | 2      5      3-9    | 4     @389   @389    |
 |----------------------+----------------------+----------------------|
 | 1      8      234    | 6      2349   5      | 23     7      2349   |
 | 6      249    5      | 349    7      2349   | 8      1      2349   |
 | 34     249    7      | 8      2349   1      | 5      2349   6      |
 *--------------------------------------------------------------------*

r1c6<>9 <=> r3c4|5=9 => r3c1<>9 <=> r4c1=9 => r4c89<>9 <=> r6c8|9=9
So either r1c6 or r6c8 or r6c9 must be 9.
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