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keith



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

PostPosted: Sat Jan 17, 2009 9:37 pm    Post subject: BB for today Reply with quote

Today's Brain Bashers super hard is quite nice.
http://www.brainbashers.com/sudoku.asp

Code:

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

Play this puzzle online at the Daily Sudoku site
It is basically a "Very Hard". I did happen to find a one-step solution.

Keith
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Marty R.



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

PostPosted: Sat Jan 17, 2009 11:14 pm    Post subject: Reply with quote

Quote:
I did happen to find a one-step solution.

So did I, but I had two steps before I saw the one-step.

Quote:
Two XY-Wings, both on 179, but in different cells, both with pincer transport. Then I saw the W-Wing on 18
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keith



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

PostPosted: Sun Jan 18, 2009 12:25 am    Post subject: Reply with quote

After basics:
Code:
+----------------+----------------+----------------+
| 234  6    248  | 7    28   1    | 5    9    38   |
| 5    128  9    | 6    3    28   | 4    18   7    |
| 13   7    18   | 5    4    9    | 2    6    138  |
+----------------+----------------+----------------+
| 6    289  28   | 1    278  4    | 79   3    5    |
| 124  5    3    | 29   2789 278  | 6    1478 18   |
| 7    189  148  | 3    6    5    | 19   148  2    |
+----------------+----------------+----------------+
| 29   4    7    | 29   1    3    | 8    5    6    |
| 8    12   6    | 4    5    27   | 3    17   9    |
| 19   3    5    | 8    79   6    | 17   2    4    |
+----------------+----------------+----------------+
I like this puzzle because there are a couple of VH possibilities that open up others.

X-wing on <1>.
X-wing on <8>. Correction: Should be on <7>.

I can't find my original coloring. But my one-step elimination is <1> in R5C1. There is a half M-wing <18> that does it. Cool

Keith


Last edited by keith on Sun Jan 18, 2009 4:12 pm; edited 1 time in total
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Earl



Joined: 30 May 2007
Posts: 677
Location: Victoria, KS

PostPosted: Sun Jan 18, 2009 1:56 am    Post subject: BB Reply with quote

Skyscraper <1>, C39.

Earl
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keith



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

PostPosted: Sun Jan 18, 2009 5:03 am    Post subject: Re: BB Reply with quote

Earl wrote:
Skyscraper <1>, C39.

Earl
Aha! Laughing
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tlanglet



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

PostPosted: Sun Jan 18, 2009 2:16 pm    Post subject: Reply with quote

keith wrote:
After basics:
Code:
+----------------+----------------+----------------+
| 234  6    248  | 7    28   1    | 5    9    38   |
| 5    128  9    | 6    3    28   | 4    18   7    |
| 13   7    18   | 5    4    9    | 2    6    138  |
+----------------+----------------+----------------+
| 6    289  28   | 1    278  4    | 79   3    5    |
| 124  5    3    | 29   2789 278  | 6    1478 18   |
| 7    189  148  | 3    6    5    | 19   148  2    |
+----------------+----------------+----------------+
| 29   4    7    | 29   1    3    | 8    5    6    |
| 8    12   6    | 4    5    27   | 3    17   9    |
| 19   3    5    | 8    79   6    | 17   2    4    |
+----------------+----------------+----------------+

X-wing on <8>

Keith

I could not locate the X-wing on <8>, but I did spot a Kraken x-wing <8> that deletes <8> from r5c9 as a one-step solution.

Ted
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keith



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

PostPosted: Sun Jan 18, 2009 4:16 pm    Post subject: Reply with quote

tlanglet wrote:
keith wrote:

X-wing on <8>

Keith

I could not locate the X-wing on <8>, but I did spot a Kraken x-wing <8> that deletes <8> from r5c9 as a one-step solution.

Ted


It should be

X-wing on <7>. You can find it in R49.

Keith
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sun Jan 18, 2009 5:48 pm    Post subject: Reply with quote

tlanglet wrote:
I could not locate the X-wing on <8>, but I did spot a Kraken x-wing <8> that deletes <8> from r5c9 as a one-step solution.

Ted: If the X-Wing you found was [c68] for <8>, then you found a finned X-Wing.

Code:
 +-----------------------------------+
 |  .  .  8  |  .  8  .  |  .  .  8  |
 |  .  8  .  |  .  . *8  |  . *8  .  |
 |  .  .  8  |  .  .  .  |  .  .  8  |
 |-----------+-----------+-----------|
 |  .  8  8  |  .  8  .  |  .  .  .  |
 |  .  .  .  |  .  8 *8  |  . *8 -8  |  finned X-Wing because
 |  .  8  8  |  .  .  .  |  . #8  .  |  fin cell in same box as elimination
 |-----------+-----------+-----------|
 |  .  .  .  |  .  .  .  |  8  .  .  |
 |  8  .  .  |  .  .  .  |  .  .  .  |
 |  .  .  .  |  8  .  .  |  .  .  .  |
 +-----------------------------------+

If the extra candidate cell doesn't share a row/column/box with an elimination cell, then it's a Kraken fin cell and the result is a Kraken fish.

BTW: Nice catch!
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tlanglet



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

PostPosted: Sun Jan 18, 2009 7:02 pm    Post subject: Reply with quote

Thanks Danny for pointing out the finned X-wing. I had noticed it but assumed that Keith was referring to a regular, every day x-wing.

In any case, the Kraken x-wing <8> is in r13c39 with the external fin in r1c5. If the x-wing is true, then eliminations are in r46c3 and r5c9. If the external fin is true then in box <5>, r45c5 <>8 and r5c6=8. Thus r5c89 <>8 and r6c8=8 which leads to r6c23<>8.

Overall, the Kraken eliminates <8> in r5c9 (which is the same elimination as the finned x-wing)and r6c3 (which is unnecessary to solve the puzzle).

Why use a simple finned x-wing when a harder Kraken x-wing will do the same job?

Ted
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Sun Jan 18, 2009 7:21 pm    Post subject: Reply with quote

tlanglet wrote:
Why use a simple finned x-wing when a harder Kraken x-wing will do the same job?

My sentiments exactly. Very Happy ..... Nice Kraken fish!!!
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