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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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 Posted: Fri May 23, 2008 3:51 pm Post subject: LA Times / Freep - May 23, 2008 |
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Not yet done:
| Code: | Puzzle: FP052308
+-------+-------+-------+
| . 8 . | 7 . . | . . . |
| 5 . 9 | . . . | 1 . . |
| . 7 . | . . 9 | . 6 . |
+-------+-------+-------+
| . 1 . | . 6 . | 2 4 . |
| . . . | 2 . 3 | . . . |
| . 4 6 | . 1 . | . 5 . |
+-------+-------+-------+
| . 9 . | 1 . . | . 8 . |
| . . 5 | . . . | 6 . 9 |
| . . . | . . 2 | . 3 . |
+-------+-------+-------+ |
Keith |
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Marty R.
Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
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| Posted: Fri May 23, 2008 4:49 pm Post subject: |
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There was a pretty obvious W-Wing, or simple coloring, after basics.
XY-Wing
Same with pincer coloring
X-Wing
XY-Wing with pincer coloring
Not sure if all the steps were necessary. |
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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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| Posted: Fri May 23, 2008 5:03 pm Post subject: |
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There is a fairly useless UR (which I did not use).
I had a skyscraper and then a W-wing finished it off.
Keith |
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keith
Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
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| Posted: Fri May 23, 2008 5:41 pm Post subject: |
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Basics get you to here:
| Code: | +-------------------+-------------------+-------------------+
| 6 8 234 | 7 235 1 | 345 9 2345 |
| 5 23 9 | 6 238 48 | 1 27 23478 |
| 34 7 1 | 34 258 9 | 58 6 258 |
+-------------------+-------------------+-------------------+
| 3789 1 378 | 89 6 5 | 2 4 78 |
| 789 5 78 | 2 4 3 | 789 1 6 |
| 2 4 6 | 89 1 7 | 389 5 38 |
+-------------------+-------------------+-------------------+
| 347 9 2347 | 1 37 6 | 457 8 2457 |
| 1 23 5 | 34 378 48 | 6 27 9 |
| 478 6 478 | 5 9 2 | 47 3 1 |
+-------------------+-------------------+-------------------+ |
I forgot to mention the incredibly obvious X-wing that takes out <2> in R2C59.
The skyscraper on <3> is in C24. It takes out <3> in R2C5, solving it as <8>. Simplifying further (including a triple in C9) gets you to here:
| Code: | +-------------+-------------+-------------+
| 6 8 23@ | 7 25 1 | 345 9 245 |
| 5 23@ 9 | 6 8 4 | 1 27 37# |
| 4 7 1 | 3 25 9 | 8 6 25 |
+-------------+-------------+-------------+
| 379 1 37# | 89 6 5 | 2 4 -78 |
| 789 5 78 | 2 4 3 | 79 1 6 |
| 2 4 6 | 89 1 7 | 39 5 38 |
+-------------+-------------+-------------+
| 37 9 24 | 1 37 6 | 45 8 245 |
| 1 23 5 | 4 37 8 | 6 27 9 |
| 78 6 478 | 5 9 2 | 47 3 1 |
+-------------+-------------+-------------+ |
The UR on <25> is in R13C59.
The W-wing has pincers # and strong link @ on <3>. It takes out <7> in R4C9, solving the puzzle.
Keith |
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storm_norm
Joined: 18 Oct 2007
Posts: 1741
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| Posted: Fri May 23, 2008 11:15 pm Post subject: |
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I like the skyscraper, x-wing, w-wing approach..
the only thing I can add is that all of these mentioned patterns in this particular puzzle can also be seen as xy-chains. in other words, all three techniques used cells that happened to be bivalue and just happened to contain values that can be linked via xy-chains.
in fact the x-wing cells {2,3}-{2,3}-{2,7}-{2,7} also forms a xy-loop if you look at the basics grid. of course its not necessary to see it this way. |
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