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Jan 12 VH

 
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Clement



Joined: 24 Apr 2006
Posts: 686
Location: Dar es Salaam Tanzania

PostPosted: Wed Jan 11, 2012 11:38 pm    Post subject: Jan 12 VH Reply with quote

W-Wing 89 with strong link 9 in col 7; r8c5<>8 solves it.
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Marty R.



Joined: 12 Feb 2006
Posts: 5181
Location: Rochester, NY, USA

PostPosted: Thu Jan 12, 2012 2:38 am    Post subject: Reply with quote

Using a standard VH move, XYZ-Wing (379), pivot r1c5; r2c5<>9.
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roaa



Joined: 18 Apr 2009
Posts: 80
Location: Sweden

PostPosted: Thu Jan 12, 2012 9:12 am    Post subject: Reply with quote

The xy-wing 389 with pivot r2c5 forces r1c5<>3 which solves it.
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arkietech



Joined: 31 Jul 2008
Posts: 1734
Location: Northwest Arkansas USA

PostPosted: Thu Jan 12, 2012 9:28 am    Post subject: Reply with quote

Code:
 *--------------------------------------------------*
 | 57   59   4    | 6    379  39   | 2    8    1    |
 | 68   2    3    | 1    89   5    | 49   469  7    |
 | 78   69   1    |b478  2   a4-8  | 5    369  39   |
 |----------------+----------------+----------------|
 | 4    1    6    | 2    5   e89   | 3    7    89   |
 | 9    8    7    | 3    4    1    | 6    5    2    |
 | 2    3    5    |d89   6    7    | 1    49   489  |
 |----------------+----------------+----------------|
 | 56   56   89   |c48   1    2    | 7    349  349  |
 | 1    7    89   | 5    38   348  | 49   2    6    |
 | 3    4    2    | 79   79   6    | 8    1    5    |
 *--------------------------------------------------*
s-wing
(4)r3c6=(4)r3c4-(4=8)r7c4-(8)r6c4=(8)r4c6 => r3c6<>8
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Orkamat



Joined: 20 Dec 2011
Posts: 10
Location: Winnipeg, Canada

PostPosted: Sun Jan 15, 2012 4:04 am    Post subject: Reply with quote

UR r4 & r6, r6c9 = 4 also does the trick

That makes 3 VHs in a row that I've solved all by my lonesome. Very Happy

--Orkamat the ex-noob
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Luke451



Joined: 20 Apr 2008
Posts: 310
Location: Southern Northern California

PostPosted: Sun Jan 15, 2012 5:28 pm    Post subject: Reply with quote

Orkamat wrote:
UR r4 & r6, r6c9 = 4 also does the trick

Is this the pattern to which you refer?
Code:
 *--------------------------------------------------*
 | 57   59   4    | 6    379  39   | 2    8    1    |
 | 68   2    3    | 1    89   5    | 49   469  7    |
 | 78   69   1    | 478  2    48   | 5    369  39   |
 |----------------+----------------+----------------|
 | 4    1    6    | 2    5   *89   | 3    7   *89   |
 | 9    8    7    | 3    4    1    | 6    5    2    |
 | 2    3    5    |*89   6    7    | 1    49  *89+4 |
 |----------------+----------------+----------------|
 | 56   56   89   | 48   1    2    | 7    34   349  |
 | 1    7    89   | 5    38   348  | 49   2    6    |
 | 3    4    2    | 79   79   6    | 8    1    5    |
 *--------------------------------------------------*
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Orkamat



Joined: 20 Dec 2011
Posts: 10
Location: Winnipeg, Canada

PostPosted: Sun Jan 15, 2012 8:16 pm    Post subject: Reply with quote

Luke451 wrote:
Orkamat wrote:
UR r4 & r6, r6c9 = 4 also does the trick

Is this the pattern to which you refer?


Yes. Not your garden-variety "rectangle," as the left-side squares share a box rather than a column, but the same logic applies ... unless my brain has turned to mush again. Smile
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Luke451



Joined: 20 Apr 2008
Posts: 310
Location: Southern Northern California

PostPosted: Sun Jan 15, 2012 9:11 pm    Post subject: Reply with quote

Hi, Orkamat, you're on the right track there, but garden-variety is the way to go with unique rectangles.

You need four cells that share two boxes, two rows and two columns.

There's no one here that has not made some variation of this mistake, so don't feel badly.
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Marty R.



Joined: 12 Feb 2006
Posts: 5181
Location: Rochester, NY, USA

PostPosted: Sun Jan 15, 2012 9:48 pm    Post subject: Reply with quote

Let me add one thing, which may not be necessary. The idea behind Unique Rectangles is if all four cells were the same pair, 89 in this case, then the numbers could be interchanged and thus you'd have two solutions, whereas the puzzle is created to have one unique solution.

With the position of these four cells, the numbers could not be interchanged because invalidities would result.
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