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BB Super Hard, Dec 25, 2008

 
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keith



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

PostPosted: Thu Dec 25, 2008 7:27 pm    Post subject: BB Super Hard, Dec 25, 2008 Reply with quote

This one takes a few Very Hard steps:
Code:
Puzzle: BB122508sh
+-------+-------+-------+
| 6 . . | . 2 . | . . 5 |
| . . 4 | 7 . 5 | 8 . . |
| . 8 . | . 9 . | . 4 . |
+-------+-------+-------+
| . 6 . | 2 . 4 | . 7 . |
| 4 . 9 | . . . | 6 . 3 |
| . 5 . | 3 . 9 | . 2 . |
+-------+-------+-------+
| . 1 . | . 4 . | . 9 . |
| . . 7 | 8 . 1 | 4 . . |
| 8 . . | . 7 . | . . 1 |
+-------+-------+-------+
Keith
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Marty R.



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

PostPosted: Fri Dec 26, 2008 1:22 am    Post subject: Reply with quote

Quote:
W-Wing on 13 plus pincer transport on same
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sideli123



Joined: 20 Dec 2005
Posts: 7

PostPosted: Fri Dec 26, 2008 4:07 pm    Post subject: Reply with quote

Very difficult puzzle. I found three x wings 2, 3 and 6's. Couldn't get any further than this. Would love some help.


6 7 - 4 2 8 9 - 5
- - 4 7 - 5 8 - -
- 8 - - 9 - - 4 7

- 6 - 2 8 4 5 7 9
4 2 9 - - 7 6 8 3
7 5 8 3 6 9 1 2 4

- 1 - - 4 - 7 9 8
- - 7 8 - 1 4 - -
8 4 - 9 7 - - - 1
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tlanglet



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

PostPosted: Fri Dec 26, 2008 4:23 pm    Post subject: Reply with quote

Sideli123, it is difficult to offer assistance since the exact state of your code is not known after the three x-wings. However, given the code you posted, make the deletions for the x-wing <3>, clean-up and then look for a xy-wing <236>.

For a stronger hint:

Quote:
xy-wing <236> pivot <36> in r3c6, pincers <23> in r3c7 & <26> in r9c6 to delete <2> r9c7.

Ted
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Marty R.



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

PostPosted: Fri Dec 26, 2008 4:43 pm    Post subject: Reply with quote

Here's a grid with candidates. (Sideli, check that I transcribed your numbers correctly).

Code:

+--------------+-----------+-----------+
| 6    7  13   | 4  2  8   | 9  13  5  |
| 1239 39 4    | 7  13 5   | 8  136 26 |
| 1235 8  1235 | 16 9  36  | 23 4   7  |
+--------------+-----------+-----------+
| 13   6  13   | 2  8  4   | 5  7   9  |
| 4    2  9    | 15 15 7   | 6  8   3  |
| 7    5  8    | 3  6  9   | 1  2   4  |
+--------------+-----------+-----------+
| 235  1  2356 | 56 4  236 | 7  9   8  |
| 2359 39 7    | 8  35 1   | 4  356 26 |
| 8    4  2356 | 9  7  236 | 23 356 1  |
+--------------+-----------+-----------+

Play this puzzle online at the Daily Sudoku site
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daj95376



Joined: 23 Aug 2008
Posts: 3854

PostPosted: Fri Dec 26, 2008 6:30 pm    Post subject: Reply with quote

Oh no!!! Just before using the XY-Wing:

Code:
 strong links (*) on <2> in "L" shape
 strong links (#) on <6> in "L" shape
 <26> UR [r79c36] => [r7c6]<>6, [r9c3]<>2
 *--------------------------------------------------*
 | 6    7    13   | 4    2    8    | 9    13   5    |
 | 29   39   4    | 7    13   5    | 8    16   26   |
 | 135  8    25   | 16   9    36   | 23   4    7    |
 |----------------+----------------+----------------|
 | 13   6    13   | 2    8    4    | 5    7    9    |
 | 4    2    9    | 15   15   7    | 6    8    3    |
 | 7    5    8    | 3    6    9    | 1    2    4    |
 |----------------+----------------+----------------|
 | 35   1   *256# | 56   4   *236  | 7    9    8    |
 | 29   39   7    | 8    35   1    | 4    56   26   |
 | 8    4    256# | 9    7   *26 # | 23   35   1    |
 *--------------------------------------------------*

Code:
 BUG+2 remaining: [r3c1]=3 and/or [r7c3]=5
 [r3c1]=3 [r7c1]=5  =>  [r7c4],[r9c3]<>5
          [r7c3]=5  =>  [r7c4],[r9c3]<>5
 *--------------------------------------------------*
 | 6    7    13   | 4    2    8    | 9    13   5    |
 | 29   39   4    | 7    13   5    | 8    16   26   |
 | 135  8    25   | 16   9    36   | 23   4    7    |
 |----------------+----------------+----------------|
 | 13   6    13   | 2    8    4    | 5    7    9    |
 | 4    2    9    | 15   15   7    | 6    8    3    |
 | 7    5    8    | 3    6    9    | 1    2    4    |
 |----------------+----------------+----------------|
 | 35   1    256  | 56   4    23   | 7    9    8    |
 | 29   39   7    | 8    35   1    | 4    56   26   |
 | 8    4    56   | 9    7    26   | 23   35   1    |
 *--------------------------------------------------*

I have got to stop trying to solve the VH step manually Exclamation
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sideli123



Joined: 20 Dec 2005
Posts: 7

PostPosted: Fri Dec 26, 2008 6:51 pm    Post subject: Reply with quote

There it is!! Once I solved for the last x wing 3. The puzzle was solved.


I spent 2 hours trying to solve that puzzle. Couldnt find it. I was happy to see you had put this puzzle on your discussion board.

Thanks again.
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Sun Dec 28, 2008 10:22 am    Post subject: Reply with quote

Code:
.------------------.------------------.------------------.
| 6     7     13   | 4     2     8    | 9     13    5    |
| 1239  39    4    | 7     13    5    | 8     136   26   |
| 1235  8    *25   | 16    9    -36   |*23    4     7    |
:------------------+------------------+------------------:
| 13    6     13   | 2     8     4    | 5     7     9    |
| 4     2     9    | 15    15    7    | 6     8     3    |
| 7     5     8    | 3     6     9    | 1     2     4    |
:------------------+------------------+------------------:
| 235   1   2[5]6  | 56    4   2[3]6  | 7     9     8    |
| 2359  39    7    | 8     35    1    | 4     356   26   |
| 8     4   2[5]6  | 9     7   2[3]6  | 23    35    1    |
'------------------'------------------'------------------'

in the {2,6} UR either the 3's in r79c6 are true or the 5's in r79c3 are true. 26UR[(3)r79c6 = (5)r79c3]...

can make this chain to eliminate the 3 in r3c6...

26UR[(3)r79c6 = (5)r79c3] - (5=2)r3c3 - (2=3)rc7; r3c6 <> 3
singles.

again, this is just another convoluted way to form a xy-wing.
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