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ravel
Joined: 21 Apr 2006 Posts: 536
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Posted: Wed Mar 12, 2008 9:47 am Post subject: VH + skyscraper + w-wing |
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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
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Posted: Wed Mar 12, 2008 10:20 pm Post subject: |
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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
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Posted: Wed Mar 12, 2008 11:13 pm Post subject: |
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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
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Posted: Thu Mar 13, 2008 1:09 am Post subject: |
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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
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Posted: Fri Mar 14, 2008 7:27 pm Post subject: |
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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
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Posted: Fri Mar 14, 2008 9:35 pm Post subject: |
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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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