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Times "super fiendish" May 2, 2008

 
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nataraj



Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria

PostPosted: Tue Jul 22, 2008 1:46 pm    Post subject: Times "super fiendish" May 2, 2008 Reply with quote

From "The Times":

Code:

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


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This is a puzzle that really needs coloring.
Either the swordfish (Hint: "1", in columns 2,4 and 6)
or two multi-coloring eliminations. (also on "1")

Both remove the same candidates ("1" in r1c5 and r5c1)

If you choose not to go the coloring way, this puzzle gets rather tough.
I found one w-wing (actually two w-wings with the same result),
one generalized xy-wing (17-72-23-31)
one regular xy-wing (34-49-93)
one generalized m-wing (37 in r4c7 via r4c5,r4c9 to 39 in r6c5)

and then - Medusa or chains ... ?
Code:


+--------------------------+--------------------------+--------------------------+
| 26      4       3        | 126     19      129      | 8       5       7        |
| 15      8       15       | 3       4       7        | 9       6       2        |
| 9       67      27       | 26      8       5        | 4       3       1        |
+--------------------------+--------------------------+--------------------------+
| 14      9       8        | 5       17      6        | 37      2       34       |
| 134     137     6        | 17      2       39       | 5       49      8        |
| 23      5       27       | 4       39      8        | 67      1       69       |
+--------------------------+--------------------------+--------------------------+
| 7       13      49       | 8       6       13       | 2       49      5        |
| 8       2       15       | 9       15      4        | 36      7       36       |
| 356     36      49       | 27      357     23       | 1       8       49       |
+--------------------------+--------------------------+--------------------------+

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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA

PostPosted: Tue Jul 22, 2008 10:59 pm    Post subject: Reply with quote

After basics:
Code:
+-------------+-------------+-------------+
| 26  4   3   | 126 19  129 | 8   5   7   |
| 15  8   15  | 3   4   7   | 9   6   2   |
| 9   67  27  | 26  8   5   | 34  34  1   |
+-------------+-------------+-------------+
| 134 9   8   | 5   137 6   | 347 2   34  |
| 134 137 6   | 17  2   139 | 5   349 8   |
| 23  5   27  | 4   379 8   | 367 1   369 |
+-------------+-------------+-------------+
| 7   13  49  | 8   6   13  | 2   49  5   |
| 8   2   15  | 9   15  4   | 36  7   36  |
| 356 36  49  | 27  357 23  | 1   8   49  |
+-------------+-------------+-------------+
I found two W-wings to start: One takes out <4> in R4C7, the other takes out <3> in R5C8.

Still looking at it, but a Swordfish is multi-coloring, yes?

Keith
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

PostPosted: Wed Jul 23, 2008 12:13 am    Post subject: Reply with quote

First I found two w-wings on <34> (that Keith also noted), then when coloring on <1>, I spotted the swordfish (that Nataraj identified) which finished off the puzzle.

Ted
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nataraj



Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria

PostPosted: Wed Jul 23, 2008 5:28 am    Post subject: Reply with quote

keith wrote:
Still looking at it, but a Swordfish is multi-coloring, yes?


I am not really an expert on taxonomy. I look at it from a practical point of view: what results will a certain technique give and what basic principle is it built on?

And I've noticed over and over again that in using my multi-coloring approach (identify strong links in a given candidate and by visualizing "weak" connections between them) I can easily spot x-wing, kite, skyscraper (and all eliminations that follow the "weak"-"strong"-"weak" pattern in a single candidate) but will miss swordfish and jellyfish. I need to go over the diagram a second time and specifically look for these creatures in order to find them.

I think that is because a swordfish or jellyfish also works if some of the units have more than two candidates in them. The elimination is not a simple AIC but based on cell counting (candidate x occurs in the 3/4 rows of a swordfish/jellyfish in exactly 3/4 columns, therefore can be removed from all other rows in those columns)
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cgordon



Joined: 04 May 2007
Posts: 769
Location: ontario, canada

PostPosted: Wed Jul 23, 2008 2:11 pm    Post subject: Reply with quote

All I could find was an ER to remove the 3 from R9C1. This didn't do anything, so I resorted to colouring to remove the 4 from R4C9. Colouring isn't my cup of tea, so I'm not sure whether I applied it correctly or just got lucky in removing the right half of a pair.
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