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June 13th BrainBashers

 
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Fri Jun 13, 2008 7:52 pm    Post subject: June 13th BrainBashers Reply with quote
For me this was a VH puzzle that was a different 2 step sequence to solve.

Ted

Code:
 
 *-----------*
 |..9|3.7|1..|
 |.3.|1.5|.9.|
 |7..|.2.|..6|
 |---+---+---|
 |62.|...|.49|
 |..3|...|5..|
 |17.|...|.82|
 |---+---+---|
 |4..|.9.|..3|
 |.9.|7.6|.1.|
 |..7|2.4|9..|
 *-----------*

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Asellus



Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA
PostPosted: Fri Jun 13, 2008 9:45 pm    Post subject: Reply with quote
After basics, I couldn't find any VH techniques (X, XY, XYZ Wings). I found a 2-step path of a UR and XY Chain. Or, after the UR, a Skyscraper and BUG+1 for 3 steps.
[Edit for typo.]
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Sat Jun 14, 2008 9:09 pm    Post subject: Reply with quote
After basics, including a triple:
Code:
+----------------+----------------+----------------+
| 28   46a  9    | 3   -468  7    | 1    25   458  |
| 28   3    46   | 1    468  5    | 248  9    7    |
| 7    5    1    | 49   2    89   | 48   3    6    |
+----------------+----------------+----------------+
| 6    2    58   | 58   17   13   | 37   4    9    |
| 9    48b  3    | 46   478  2    | 5    67   1    |
| 1    7    45c  | 69   45d  39   | 36   8    2    |
+----------------+----------------+----------------+
| 4    168  268  | 58   9    18   | 67   2567 3    |
| 35   9    28   | 7    358  6    | 248  1    458  |
| 35   168  7    | 2    1358 4    | 9    56   58   |
+----------------+----------------+----------------+

Instead of the UR <35>, there is a skyscraper / kite on <4> that reveals an XY-wing and, remarkably, gets you to the same point as the UR.
Code:
+-------------+-------------+-------------+
| 28  4   9   | 3   6   7   | 1   25  58  |
| 28  3   6   | 1   48  5   | 248 9   7   |
| 7   5   1   | 49  2   89  | 48  3   6   |
+-------------+-------------+-------------+
| 6   2   5   | 8   17  13  | 37  4   9   |
| 9   8   3   | 46  47  2   | 5   67  1   |
| 1   7   4   | 69  5   39  | 36  8   2   |
+-------------+-------------+-------------+
| 4   16  28  | 5   9   18  | 67  267 3   |
| 5   9   28  | 7   3   6   | 28  1   4   |
| 3   16  7   | 2   18  4   | 9   56  58  |
+-------------+-------------+-------------+

Then, there is another skyscraper or a swordfish that make the same elimination of <8> to get to a BUG+1.

There is a 4-link chain, but I'd be lying if I said you could recognize it as an extended XY-wing. It solves R7C6 as <1>.

Keith
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storm_norm



Joined: 18 Oct 2007
Posts: 1741
PostPosted: Sat Jun 14, 2008 9:57 pm    Post subject: Reply with quote
wow, very hard for a brainbashers
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Sat Jun 14, 2008 10:43 pm    Post subject: Reply with quote
keith wrote:

Code:
+-------------+-------------+-------------+
| 28  4   9   | 3   6   7   | 1   25  58  |
| 28  3   6   | 1   48  5   | 248 9   7   |
| 7   5   1   | 49  2   89  | 48  3   6   |
+-------------+-------------+-------------+
| 6   2   5   | 8   17  13  | 37  4   9   |
| 9   8   3   | 46  47  2   | 5   67  1   |
| 1   7   4   | 69  5   39  | 36  8   2   |
+-------------+-------------+-------------+
| 4   16  28  | 5   9   18  | 67  267 3   |
| 5   9   28  | 7   3   6   | 28  1   4   |
| 3   16  7   | 2   18  4   | 9   56  58  |
+-------------+-------------+-------------+

Then, there is another skyscraper or a swordfish that make the same elimination of <8> to get to a BUG+1.

There is a 4-link chain, but I'd be lying if I said you could recognize it as an extended XY-wing. It solves R7C6 as <1>.

Keith


Keith, after the UR, we have a BUG+2. Either r2c7=8 or r7c8=6. Both give r9c9 = 8 to complete the puzzle as a two-stepper.

Ted
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