Menneske

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Menneske

Postby ArkieTech » Wed Mar 27, 2013 3:03 am

Code: Select all
 *-----------*
 |2..|..6|9..|
 |...|3..|.45|
 |..8|4..|1.7|
 |---+---+---|
 |...|...|3.1|
 |..6|...|...|
 |4..|13.|.6.|
 |---+---+---|
 |1.4|2..|7..|
 |82.|9..|..6|
 |...|..7|...|
 *-----------*


Play/Print this puzzle online
dan
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Re: Menneske

Postby Leren » Wed Mar 27, 2013 5:14 am

Code: Select all
*--------------------------------------------------------------*
| 2     4     5      | 7     1     6      | 9     8     3      |
| 7     9     1      | 3     28    28     | 6     4     5      |
| 6     3     8      | 4     59    59     | 1     2     7      |
|--------------------+--------------------+--------------------|
| 5     8     29     | 6     279   4      | 3     79    1      |
| 3     1     6      | 58    25789 2589   | 2458  579   2489   |
| 4     7     29     | 1     3     2589   | 258   6     289    |
|--------------------+--------------------+--------------------|
| 1    c56    4      | 2    d56-8  3      | 7     59    89     |
| 8     2     7      | 9     45    1      | 45    3     6      |
| 9    b56    3      |a58    4568  7      | 2458  1     248    |
*--------------------------------------------------------------*

H2-wing: (8=5) r9c4 - r9c2 = (5-6) r7c2 = r7c5 => -8 r7c5; stte

Leren
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Re: Menneske

Postby pjb » Wed Mar 27, 2013 6:04 am

Same elimination but different path: Death blossom with stem cell of r8c5, and petals of r9c245 and r2345c5,=> r7c5 <>8; stte
As an ALS chain: (8=456) r9c245 - (4=5) r8c5 - (5=2789) r2345c5

Phil
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Re: Menneske

Postby Leren » Wed Mar 27, 2013 6:37 am

Code: Select all
*--------------------------------------------------------------*
| 2     4     5      | 7     1     6      | 9     8     3      |
| 7     9     1      | 3     28    28     | 6     4     5      |
| 6     3     8      | 4     59    59     | 1     2     7      |
|--------------------+--------------------+--------------------|
| 5     8     29     | 6     279   4      | 3     79    1      |
| 3     1     6      | 58    25789 2589   | 2458  579   2489   |
| 4     7     29     | 1     3     2589   | 258   6     289    |
|--------------------+--------------------+--------------------|
| 1    c56C   4      | 2    a568   3      | 7     9-5   89     |
| 8     2     7      | 9     45    1      | 45    3     6      |
| 9     56B   3      |b58A   4568  7      | 2458  1     248    |
*--------------------------------------------------------------*

XYZ Wing (568) cells abc with pincer 5 transport A->B->C => -5 r7c8; stte

Leren
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Re: Menneske

Postby Marty R. » Wed Mar 27, 2013 6:24 pm

Code: Select all
+---------+-----------------+-----------------+
| 2 4  5  |  7   1     6    | 9     8    3    |
| 7 9  1  |  3   28    28   | 6     4    5    |
| 6 3  8  |  4   59    59   | 1     2    7    |
+---------+-----------------+-----------------+
| 5 8  29 |  6   279   4    | 3     79   1    |
| 3 1  6  |  58  25789 2589 | 2458  579  2489 |
| 4 7  29 |  1   3     2589 | 258   6    289  |
+---------+-----------------+-----------------+
| 1 56 4  |  2   56-8  3    | 7    D59  E89   |
| 8 2  7  |  9  B45    1    |C45    3    6    |
| 9 56 3  | A58  4568  7    | 245-8 1    24-8 |
+---------+-----------------+-----------------+

Play this puzzle online at the Daily Sudoku site

XY-Chain (8=5)r9c4-r8c5=r8c7-(5=9)r7c8-(9=8)r7c9=>r7c5r9c79<>8
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Re: Menneske

Postby Ngisa » Wed Mar 27, 2013 6:54 pm

Type 4 UR 56 in r79c25; r79c5<>5 opens an
XY-Wing 56-58-68 pivoted in r9c4; r7c2<>6, r9c5<>6 stte.
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Re: Menneske

Postby Leren » Wed Mar 27, 2013 8:19 pm

Code: Select all
*---------------------------------------------------------------*
| 2     4     5      | 7     1      6      | 9     8     3      |
| 7     9     1      | 3     28     28     | 6     4     5      |
| 6     3     8      | 4     59     59     | 1     2     7      |
|--------------------+---------------------+--------------------|
| 5     8     29     | 6     279    4      | 3     79    1      |
| 3     1     6      |e58    2579-8 2589   | 2458 d579   2489   |
| 4     7     29     | 1     3      2589   | 258   6     289    |
|--------------------+---------------------+--------------------|
| 1    a56    4      | 2    b568    3      | 7    c59    89     |
| 8     2     7      | 9     45     1      | 45    3     6      |
| 9     56    3      | 5-8   4568   7      | 2458  1     248    |
*---------------------------------------------------------------*

ALS W-wing (or conjugate linked ALSs): (8=56) r7c25 - 5 r7c8 = r5c8 - (5=8) r5c4 => -5 r5c5, r9c4 ; stte

Leren
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Re: Menneske

Postby Marty R. » Wed Mar 27, 2013 11:55 pm

Leren wrote:
Code: Select all
*--------------------------------------------------------------*
| 2     4     5      | 7     1     6      | 9     8     3      |
| 7     9     1      | 3     28    28     | 6     4     5      |
| 6     3     8      | 4     59    59     | 1     2     7      |
|--------------------+--------------------+--------------------|
| 5     8     29     | 6     279   4      | 3     79    1      |
| 3     1     6      | 58    25789 2589   | 2458  579   2489   |
| 4     7     29     | 1     3     2589   | 258   6     289    |
|--------------------+--------------------+--------------------|
| 1    c56C   4      | 2    a568   3      | 7     9-5   89     |
| 8     2     7      | 9     45    1      | 45    3     6      |
| 9     56B   3      |b58A   4568  7      | 2458  1     248    |
*--------------------------------------------------------------*

XYZ Wing (568) cells abc with pincer 5 transport A->B->C => -5 r7c8; stte

Leren


Leren,

This transport has me confused. The transport is to a pincer cell and the net effect seems to be a reduction in the number of pincers from three to two. What am I missing?
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Posts: 1438
Joined: 23 October 2012
Location: Rochester, New York, USA

Re: Menneske

Postby Leren » Thu Mar 28, 2013 4:47 am

Marty R wrote: Leren,

This transport has me confused. The transport is to a pincer cell and the net effect seems to be a reduction in the number of pincers from three to two. What am I missing?


Perhaps what you are missing is that, because the transport is via a Weak link followed by a Strong link, there are 2 inferences that can be drawn:

1. If Cell A is 5 then cell C is 5, but also

2. If Cell C is not 5 then cell A is not 5.

It's inference 2 that makes this move easiest to explain: if r7c8 = 5 then cell C = 6 and (because of inference 2) cell A = 8 . So cell a (the pivot cell for the (568) XYZ wing) can't be 5, 6 or 8 !

So the effect of the pincer transport is that the number of pincers is "reduced" from 3 to 2. This POV helps you to discover the move but tends to obscure what is really going on.

When I first saw this move described my own reaction was :shock: followed about an hour later by :twisted: .

Hopefully I've provided you with an Ah Haaa moment.

Leren
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Re: Menneske

Postby Marty R. » Thu Mar 28, 2013 3:16 pm

Leren,

Thanks for the explanation. My understanding of an XYZ-Transport was limited to its most basic form. Hopefully I can digest this and add it to my undersized arsenal.
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Posts: 1438
Joined: 23 October 2012
Location: Rochester, New York, USA

Re: Menneske

Postby daj95376 » Thu Mar 28, 2013 6:27 pm

To me, an XY/XYZ/WXYZ/VWXYZ/UVWXYZ-Wing is simply a Kraken Cell with each stream limited to at most one strong inference in a bivalue cell. Typically, the Kraken Cell is called the Vertex cell and the bivalue cells are called Pincer cells.

Code: Select all
 +-----------------------------------------------------------------------+
 |  2      4      5      |  7      1      6      |  9      8      3      |
 |  7      9      1      |  3      28     28     |  6      4      5      |
 |  6      3      8      |  4      59     59     |  1      2      7      |
 |-----------------------+-----------------------+-----------------------|
 |  5      8      29     |  6      279    4      |  3      79     1      |
 |  3      1      6      |  58     25789  2589   |  2458   579    2489   |
 |  4      7      29     |  1      3      2589   |  258    6      289    |
 |-----------------------+-----------------------+-----------------------|
 |  1     P56     4      |  2     V568    3      |  7      59     89     |
 |  8      2      7      |  9      45     1      |  45     3      6      |
 |  9      56     3      | P58     4568   7      |  2458   1      248    |
 +-----------------------------------------------------------------------+
 # 49 eliminations remain

An XYZ-Wing exists, but doesn't have any tangible eliminations:

Code: Select all
 (5)r7c5             - (5)r7c46
 (6)r7c5 - (6=5)r7c2 - (5)r7c46
 (8)r7c5 - (8=5)r9c4 - (5)r7c46;  =>  nada/zilch/goose-egg

Leren extended one stream by a second strong inference ... and extended the possible target cells in the process:

Code: Select all
 (5)r7c5                                 - (5)r7c1346789
 (6)r7c5 - (6=5)r7c2                     - (5)r7c1346789
 (8)r7c5 - (8=5)r9c4 - (5)r9c2 = (5)r7c2 - (5)r7c1346789;  =>  r7c8<>5
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