Is it WXYZ Wing

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Is it WXYZ Wing

Postby ZvDj » Thu Sep 06, 2018 8:22 am

Hello,

I have two questions about this puzzle:
1. Can the marked fields be considered as WXYZ-Wing? Pivot is r8c9 and the pincers are r7c89 and r8c4. (Is_It_WXYZ_1.png)
2. If the answer is YES, can the both candidates (6 and 7) be eliminated from r8c78?

THX
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Re: Is it WXYZ Wing

Postby Leren » Thu Sep 06, 2018 10:59 am

Code: Select all
*-----------*
|4..|.2.|..1|
|...|45.|...|
|725|916|843|
|---+---+---|
|8.2|1.9|6.5|
|3..|865|..2|
|5.1|2.3|..8|
|---+---+---|
|2.3|594|1..|
|...|.32|...|
|95.|.8.|..4|
*-----------*

The problem with answering your questions are, that with the solved cells you have, the puzzle solves with singles, so your questions are moot.

3 in r1c3 is a hidden single in Column 3, 1 is a hidden singles in Column 6, 3 is a single in Column 7, which then forces 2 a single in row 9, and so on until the puzzle is solved. I've shown the first of the singles in the following PM diagram.

Code: Select all
*-------------------------------------------*
| 4  689-3 689  | 3-7 2  78 | 579 5679  1   |
| 16 13689 689  | 4   5  78 | 279 2679  679 |
| 7  2     5    | 9   1  6  | 8   4     3   |
|---------------+-----------+---------------|
| 8  47    2    | 1   47 9  | 6   37    5   |
| 3  479   479  | 8   6  5  | 479 179   2   |
| 5  4679  1    | 2   47 3  | 479 79    8   |
|---------------+-----------+---------------|
| 2  678   3    | 5   9  4  | 1   678   67  |
| 16 14678 4678 | 67  3  2  | 579 56789 679 |
| 9  5     67   | 67  8  17 | 237 2367  4   |
*-------------------------------------------*

Leren
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Re: Is it WXYZ Wing

Postby StrmCkr » Thu Sep 06, 2018 1:41 pm

No, it is not a Wxyz wing.. The 4 cells selected do not have a restricted common between the cells.
Some do, some teach, the rest look it up.
stormdoku
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Re: Is it WXYZ Wing

Postby SpAce » Thu Sep 06, 2018 2:11 pm

I don't think there's a law against trying to spot or use "too advanced" patterns for a given situation, so I don't see the question as moot per se. The answer is clearly no, however, as StrmCkr said.
-SpAce-: Show
Code: Select all
   *             |    |               |    |    *
        *        |=()=|    /  _  \    |=()=|               *
            *    |    |   |-=( )=-|   |    |      *
     *                     \  ¯  /                   *   

"If one is to understand the great mystery, one must study all its aspects, not just the dogmatic narrow view of the Jedi."
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