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AU Tough August 24, 2012

 
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arkietech



Joined: 31 Jul 2008
Posts: 1686
Location: Northwest Arkansas USA

PostPosted: Sat Aug 25, 2012 5:01 am    Post subject: AU Tough August 24, 2012 Reply with quote

Marty R. wrote:
Thanks Dan, I'm consistently missing those M-Wings. Crying or Very sad

Here is one for practice. Very Happy
Code:

 *-----------*
 |9..|.1.|2..|
 |.6.|..4|...|
 |...|3..|..8|
 |---+---+---|
 |...|1..|6..|
 |..4|8.5|9..|
 |..9|..3|...|
 |---+---+---|
 |3..|..8|...|
 |...|2..|.1.|
 |..5|.7.|..4|
 *-----------*
 

Play/Print this puzzle online
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tlanglet



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

PostPosted: Sat Aug 25, 2012 12:30 pm    Post subject: Reply with quote

Code after basics:

Code:
 *-----------------------------------------------------------------------------*
 | 9       3458    38      | 567     1       67      | 2       34567   3567    |
 | 125     6       123     | 579     8       4       | 135     3579    13579   |
 | 1457    1457    17      | 3       269     269     | 145     69      8       |
 |-------------------------+-------------------------+-------------------------|
 | 2578    23578   2378    | 1       249     279     | 6       234578  2357    |
 | 1267    1237    4       | 8       26      5       | 9       237     1237    |
 | 125678  12578   9       | 67      246     3       | 1458    24578   1257    |
 |-------------------------+-------------------------+-------------------------|
 | 3       129     126     | 4       5       8       | 7       269     269     |
 | 478     4789    678     | 2       3       69      | 58      1       569     |
 | 28      289     5       | 69      7       1       | 38      23689   4       |
 *-----------------------------------------------------------------------------*


I saved the m-wing for Marty and found a w-wing with a grouped SL.

w-wing(69)r3c8|r8c6 GSL 6r178
6r1c9-(6=9)r3c8
6r7c9-r9c8=r9c4-(6=9)r8c6
6r8c9-(6=9)r8c6
Plus transport: 9r8c6-r9c4=r2c4; -9r2c89,r3c6

Ted
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Marty R.



Joined: 12 Feb 2006
Posts: 5061
Location: Rochester, NY, USA

PostPosted: Sat Aug 25, 2012 3:09 pm    Post subject: Reply with quote

Code:

+-------------------+-------------+-------------------+
| 9      3458  38   | 567 1   67  | 2    34567  3567  |
| 125    6     123  | 579 8   4   | 135  3579   13579 |
| 1457   1457  17   | 3   269 269 | 145  69     8     |
+-------------------+-------------+-------------------+
| 2578   23578 2378 | 1   249 279 | 6    234578 2357  |
| 1267   1237  4    | 8   26  5   | 9    237    1237  |
| 125678 12578 9    | 67  246 3   | 1458 24578  1257  |
+-------------------+-------------+-------------------+
| 3      129   126  | 4   5   8   | 7    269    269   |
| 478    4789  678  | 2   3   69  | 58   1      569   |
| 28     289   5    | 69  7   1   | 38   23689  4     |
+-------------------+-------------+-------------------+

Play this puzzle online at the Daily Sudoku site

Quote:
I saved the m-wing for Marty


Thanks Ted, but I did the near-impossible and missed it even knowing it's there. Embarassed

I used the W-Wing (67) in boxes 25 followed by a Finned X-Wing in r19; r3c8<>6.
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Luke451



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

PostPosted: Sat Aug 25, 2012 4:03 pm    Post subject: Reply with quote

Code:
*-----------------------------------------------------------------------------*
 | 9       3458    38      | 567     1       67      | 2       34567   3567    |
 | 125     6       123     | 579     8       4       | 135     3579    13579   |
 | 1457    1457    17      | 3       269     269     | 145     69      8       |
 |-------------------------+-------------------------+-------------------------|
 | 2578    23578   2378    | 1       249     279     | 6       234578  2357    |
 | 1267    1237    4       | 8       26      5       | 9       237     1237    |
 | 125678  12578   9       | 67      246     3       | 1458    24578   1257    |
 |-------------------------+-------------------------+-------------------------|
 | 3       129     126     | 4       5       8       | 7       269     269     |
 | 478     4789    678     | 2       3       69      | 58      1       569     |
 | 28      289     5       | 69      7       1       | 38      23689   4       |
 *-----------------------------------------------------------------------------*

I think I see one on (67), which opens up one on (69), but they don't solve the puzzle.

(Update: now I think the (69) one solves the puzzle from basics...)
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arkietech



Joined: 31 Jul 2008
Posts: 1686
Location: Northwest Arkansas USA

PostPosted: Sat Aug 25, 2012 4:37 pm    Post subject: Reply with quote

Here is the one I found:
Code:

 *-----------------------------------------------------------------------------*
 | 9       3458    38      | 567     1       67      | 2       34567   3567    |
 | 125     6       123     |d579     8       4       | 135     357-9   1357-9  |
 | 1457    1457    17      | 3       26-9    26-9    | 145    a69      8       |
 |-------------------------+-------------------------+-------------------------|
 | 2578    23578   2378    | 1       249     279     | 6       234578  2357    |
 | 1267    1237    4       | 8       26      5       | 9       237     1237    |
 | 125678  12578   9       | 67      246     3       | 1458    24578   1257    |
 |-------------------------+-------------------------+-------------------------|
 | 3       129     126     | 4       5       8       | 7       269     269     |
 | 478     4789    678     | 2       3       69      | 58      1       569     |
 | 28      289     5       |c69      7       1       | 38     b23689   4       |
 *-----------------------------------------------------------------------------*
m-wing
(9=6)r3c8-r9c8=(6-9)r4c4=9r2c4 => -9r2c89,r3c56; stte
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Marty R.



Joined: 12 Feb 2006
Posts: 5061
Location: Rochester, NY, USA

PostPosted: Sat Aug 25, 2012 5:21 pm    Post subject: Reply with quote

Quote:
Here is the one I found:


My eyes are fine but the brain is MIA. Crying or Very sad
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tlanglet



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

PostPosted: Sat Aug 25, 2012 6:41 pm    Post subject: Reply with quote

arkietech wrote:
Here is the one I found:
Code:

 *-----------------------------------------------------------------------------*
 | 9       3458    38      | 567     1       67      | 2       34567   3567    |
 | 125     6       123     |d579     8       4       | 135     357-9   1357-9  |
 | 1457    1457    17      | 3       26-9    26-9    | 145    a69      8       |
 |-------------------------+-------------------------+-------------------------|
 | 2578    23578   2378    | 1       249     279     | 6       234578  2357    |
 | 1267    1237    4       | 8       26      5       | 9       237     1237    |
 | 125678  12578   9       | 67      246     3       | 1458    24578   1257    |
 |-------------------------+-------------------------+-------------------------|
 | 3       129     126     | 4       5       8       | 7       269     269     |
 | 478     4789    678     | 2       3       69      | 58      1       569     |
 | 28      289     5       |c69      7       1       | 38     b23689   4       |
 *-----------------------------------------------------------------------------*
m-wing
(9=6)r3c8-r9c8=(6-9)r4c4=9r2c4 => -9r2c89,r3c56; stte


Yes, I cheated a bit by turning the m-wing into a w-wing plus a pincer transport using part of the m-wing path.

Ted
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Luke451



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

PostPosted: Sat Aug 25, 2012 8:31 pm    Post subject: Reply with quote

arkietech wrote:
Here is the one I found:
Code:

 *-----------------------------------------------------------------------------*
 | 9       3458    38      | 567     1       67      | 2       34567   3567    |
 | 125     6       123     |d579     8       4       | 135     357-9   1357-9  |
 | 1457    1457    17      | 3       26-9    26-9    | 145    a69      8       |
 |-------------------------+-------------------------+-------------------------|
 | 2578    23578   2378    | 1       249     279     | 6       234578  2357    |
 | 1267    1237    4       | 8       26      5       | 9       237     1237    |
 | 125678  12578   9       | 67      246     3       | 1458    24578   1257    |
 |-------------------------+-------------------------+-------------------------|
 | 3       129     126     | 4       5       8       | 7       269     269     |
 | 478     4789    678     | 2       3       69      | 58      1       569     |
 | 28      289     5       |c69      7       1       | 38     b23689   4       |
 *-----------------------------------------------------------------------------*
m-wing
(9=6)r3c8-r9c8=(6-9)r4c4=9r2c4 => -9r2c89,r3c56; stte

Yep, that was it.

Just for the practice, the (67) one that doesn't solve it went like this:
(6=7)r1c6-(7)r12c4=(7-6)r6c4=(6)r56c5 ==>r3c5<>6

I'm not all that clear about m-wings, though. May I ask, does the pattern always feature two identical bivalue nodes? I bet not, since the second is a weak link.
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arkietech



Joined: 31 Jul 2008
Posts: 1686
Location: Northwest Arkansas USA

PostPosted: Sat Aug 25, 2012 10:04 pm    Post subject: Reply with quote

Luke451 wrote:
I'm not all that clear about m-wings, though. May I ask, does the pattern always feature two identical bivalue nodes? I bet not, since the second is a weak link.


You are right. The node having the weak link does not have to be bivalue.

I see it as having one bivalue with an internal strong link(X=Y). There are only these two values in the SIS (XY).

M-Wing: 3-SIS using bivalue(XY), bilocation(Y), and bilocation(X)
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Sun Aug 26, 2012 1:05 am    Post subject: Reply with quote

Luke451 wrote:
I'm not all that clear about m-wings, though. May I ask, does the pattern always feature two identical bivalue nodes? I bet not, since the second is a weak link.

As architech mentioned, you are correct that the weak link doesn't need to be a bivalue cell. Also, each bilocation indicated by architech can actually be a grouped strong inference. For reference, ronk created a table of 15 different M-Wing types/patterns. He also includes puzzles that contain each type/pattern. Anyone interested in tackling these puzzles?
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ronk



Joined: 07 May 2006
Posts: 397

PostPosted: Sun Aug 26, 2012 1:44 pm    Post subject: Reply with quote

daj95376 wrote:
ronk created a table of 15 different M-Wing types/patterns. He also includes puzzles that contain each type/pattern.

As I recall, you helped find many of those puzzles. Thanks.
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