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Set NNP Puzzle 77

 
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Mon Jan 26, 2009 11:28 pm    Post subject: Set NNP Puzzle 77 Reply with quote

Advanced.

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

Play this puzzle online at the Daily Sudoku site
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Tue Jan 27, 2009 7:06 am    Post subject: Reply with quote

Code:
.------------------.------------------.------------------.
| 28    1     248  | 3     58    6    | 9     7     45   |
| 7     368   468  | 9     58    1    | 2346  238   456  |
| 368   5     9    | 2     7     4    | 36    38    1    |
:------------------+------------------+------------------:
| 2346  236   5    | 1     9     7    | 8     23    46   |
| 468   68    7    | 5     2     3    | 46    1     9    |
| 23    9     1    | 6     4     8    | 7     5     23   |
:------------------+------------------+------------------:
| 1     7     28   | 4     6     5    | 23    9     238  |
| 5     268   268  | 7     3     9    | 1     4     28   |
| 9     4     3    | 8     1     2    | 5     6     7    |
'------------------'------------------'------------------'

extended w-wing... (2=3)r7c7 - (3)r7c9 = (3)r6c9 - (3=2)r6c1 - (2)r1c1 = (2)r1c3; r7c3 <> 2
extended w-wing... (4=6)r5c7 - (6)r23c7 = (6)r2c9 - (6=4)r2c3 - (4)r1c3 = (4)r9c1; r4c9 <> 4
chain... (6=8)r5c1 - (8)r13c1 = (8)r2c2 - (8=5)r2c5 - (5=4)r2c9 - (4=6)r2c3 - (6)r8c3 = (6)r8c2; r5c2 <> 6
BUG+1 - r2c8 is 3
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wapati



Joined: 10 Jun 2008
Posts: 472
Location: Brampton, Ontario, Canada.

PostPosted: Tue Jan 27, 2009 1:35 pm    Post subject: Reply with quote

I spent a couple of pleasant hours on this one and didn't find a shorter path than Norm's. Here is my simplest effort.

ER in box 6 or 2-string kite from box 4, on 2s.
Code:
.------------------.------------------.------------------.
| 28    1     248  | 3     58    6    | 9     7     45   |
| 7     368   468  | 9     58    1    | 2346  238   456  |
| 368   5     9    | 2     7     4    | 36    38    1    |
:------------------+------------------+------------------:
| 2346  236   5    | 1     9     7    | 8     23    46   |
| 468   68    7    | 5     2     3    | 46    1     9    |
| 23    9     1    | 6     4     8    | 7     5     23   |
:------------------+------------------+------------------:
| 1     7     28   | 4     6     5    | 23    9     238  |
| 5     268   268  | 7     3     9    | 1     4     8-2  |
| 9     4     3    | 8     1     2    | 5     6     7    |
'------------------'------------------'------------------'


W-wing using 46 pair as the endpoints.
Code:
.------------------.------------------.------------------.
| 28    1    #24   | 3     58    6    | 9     7    #45   |
| 7     368  *46   | 9     58    1    | 2346  238   45-6 |
| 368   5     9    | 2     7     4    | 36    38    1    |
:------------------+------------------+------------------:
| 2346  236   5    | 1     9     7    | 8     23   *46   |
| 468   68    7    | 5     2     3    | 46    1     9    |
| 23    9     1    | 6     4     8    | 7     5     23   |
:------------------+------------------+------------------:
| 1     7     8    | 4     6     5    | 23    9     23   |
| 5     26    26   | 7     3     9    | 1     4     8    |
| 9     4     3    | 8     1     2    | 5     6     7    |
'------------------'------------------'------------------'


ALS or 5 cell xy-chain. Same cells and eliminations.
Code:
.--------------.----------.--------------.
|*28   1    24 | 3  58  6 | 9    7    45 |
| 7    36-8 46 | 9  58  1 | 236  238  45 |
| 368  5    9  | 2  7   4 | 36   38   1  |
:--------------+----------+--------------:
| 4   *23   5  | 1  9   7 | 8    23   6  |
| 6-8 *68   7  | 5  2   3 | 4    1    9  |
|*23   9    1  | 6  4   8 | 7    5    23 |
:--------------+----------+--------------:
| 1    7    8  | 4  6   5 | 23   9    23 |
| 5   *26   26 | 7  3   9 | 1    4    8  |
| 9    4    3  | 8  1   2 | 5    6    7  |
'--------------'----------'--------------'


This gets us to a skyscraper or a remote pair or a BUG, your choice?
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tlanglet



Joined: 17 Oct 2007
Posts: 2461
Location: Northern California Foothills

PostPosted: Tue Jan 27, 2009 5:33 pm    Post subject: Reply with quote

I had a four step solution.

1) Either multi-coloring on <2> or a Type 6 UR28 with strong link on <8> in col9. They both provide the same final result.
2) xyz-wing 456 with pivot at r2c9
3) Coloring on <3>
4) BUG+1 sets r2c2=6

Ted
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Marty R.



Joined: 12 Feb 2006
Posts: 5162
Location: Rochester, NY, USA

PostPosted: Fri Jan 30, 2009 2:31 am    Post subject: Reply with quote

I started out with an XY-Wing Chain (28-23-23-23-3Cool. Then a Hidden UR (2Cool, multi- and single coloring (3), two ERs (6, 2) and a W-Wing (46).

(I give up, you figure it out, I can't avoid the unintended smileys).

That brought me here:

Code:

+-----------+--------+----------+
| 28 1   24 | 3 58 6 | 9  7  45 |
| 7  368 46 | 9 58 1 | 26 23 45 |
| 36 5   9  | 2 7  4 | 36 8  1  |
+-----------+--------+----------+
| 4  23  5  | 1 9  7 | 8  23 6  |
| 68 68  7  | 5 2  3 | 4  1  9  |
| 23 9   1  | 6 4  8 | 7  5  23 |
+-----------+--------+----------+
| 1  7   8  | 4 6  5 | 23 9  23 |
| 5  26  26 | 7 3  9 | 1  4  8  |
| 9  4   3  | 8 1  2 | 5  6  7  |
+-----------+--------+----------+

Play this puzzle online at the Daily Sudoku site

It's an obvious BUG+1. But I had more fun with the W-Wing on 26 in r2c7 and r8c2. This is connected by three strong links on 6. R3c7>>r3c1>>r5c1>>r5c2. Then transport the 2 pincer from r2c7 to r4c8, taking out the 2 from r4c2.
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keith



Joined: 19 Sep 2005
Posts: 3174
Location: near Detroit, Michigan, USA

PostPosted: Fri Jan 30, 2009 4:39 am    Post subject: Reply with quote

Quote:
(I give up, you figure it out, I can't avoid the unintended smileys).


Marty,

If you go into edit mode, you will see that 8) is the "cool" smiley.

You should click the option "Disable Smilies in this post".

By the way, this is the reason I use <> instead of () in my messages. Fewer unintended consequences.

Keith
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Marty R.



Joined: 12 Feb 2006
Posts: 5162
Location: Rochester, NY, USA

PostPosted: Fri Jan 30, 2009 4:47 am    Post subject: Reply with quote

Thanks Keith, that's useful info. This wasn't the first time it's happened.
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