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No XY/XYZ-Wings: Set A Puzzle 6

 
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Tue Oct 28, 2008 3:55 pm    Post subject: No XY/XYZ-Wings: Set A Puzzle 6 Reply with quote

Same Rules! This puzzle should be fun and similar to solve as previous puzzles in this set.

Code:
 +-----------------------+
 | . 7 2 | . 6 . | . 1 4 |
 | 1 . . | . . . | 6 . . |
 | 6 . 9 | . . 2 | 5 . . |
 |-------+-------+-------|
 | . . . | 8 . . | . . . |
 | 7 . . | . 3 . | 9 . . |
 | . . 6 | . . 7 | 3 4 . |
 |-------+-------+-------|
 | . 9 7 | . 8 3 | 4 . . |
 | 8 . . | . . 6 | . 3 . |
 | 5 . . | . . . | . . . |
 +-----------------------+
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nataraj



Joined: 03 Aug 2007
Posts: 1029
Location: Vienna, Austria

PostPosted: Tue Oct 28, 2008 5:14 pm    Post subject: Reply with quote

x-wing (1), then

m-wing (5)r5c8=r7c4 (via sl (1) in col 9); r7c8<>5

(one could also use a w-wing (1)r5c9=r7c4 (via sl (5) in col 8 ); r7c9<>1)

Code:

+--------------------------+--------------------------+--------------------------+
| 3       7       2        | 9       6       5        | 8       1       4        |
| 1       5       4        | 3       7       8        | 6       9       2        |
| 6       8       9        | 14      14      2        | 5       7       3        |
+--------------------------+--------------------------+--------------------------+
| 4       3       5        | 8       29      19       | 17      26      67       |
| 7       12      8        | 6       3       4        | 9       25      15       |
| 9       12      6        | 125     125     7        | 3       4       8        |
+--------------------------+--------------------------+--------------------------+
| 2       9       7        | 15      8       3        | 4       56      156      |
| 8       4       1        | 257     259     6        | 27      3       579      |
| 5       6       3        | 247     249     19       | 127     8       79       |
+--------------------------+--------------------------+--------------------------+
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Tue Oct 28, 2008 5:36 pm    Post subject: Reply with quote

That certainly beats getting nowhere with the (25) UR and the subsequent (27) UR like I did.
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storm_norm



Joined: 18 Oct 2007
Posts: 1741

PostPosted: Fri Oct 31, 2008 9:29 am    Post subject: Reply with quote

Code:
.---------------------.---------------------.---------------------.
| 3      7      2     | 59     6      59    | 8      1      4     |
| 1      45     45    | 3      7      8     | 6      9      2     |
| 6      8      9     | 14     14     2     | 5      7      3     |
:---------------------+---------------------+---------------------:
| 4      3      15    | 8     #1259  #159   | 17    #256    1567  |
| 7      125    8     | 6      3      4     | 9     #25     15    |
| 9      125    6     | 125    125    7     | 3      4      8     |
:---------------------+---------------------+---------------------:
| 2      9      7     |#15     8      3     | 4     -56     156   |
| 8      14     14    | 2579   259    6     | 27     3      579   |
| 5      6      3     | 12479  1249  #19    | 127    8      179   |
'---------------------'---------------------'---------------------'


its the same elimination as nataraj's m-wing just without the x-wing step. and that 5 gone solves it.

(5=2)r5c8 - (2)r6c8 = (2-9)r4c5 = (9)r4c6 - (9=1)r9c6 - (1=5)r7c4; r7c8 <> 5
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