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Freep/LAT Nov 9

 
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Asellus



Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA

PostPosted: Fri Nov 09, 2007 9:38 pm    Post subject: Freep/LAT Nov 9 Reply with quote

Another interesting puzzle:
Code:
+---+---+---+
|.4.|.9.|.5.|
|2..|...|..9|
|93.|8..|.67|
+---+---+---+
|...|5.7|...|
|8..|3.1|..4|
|...|2.9|...|
+---+---+---+
|49.|..5|.12|
|6..|...|..5|
|.7.|.3.|.9.|
+---+---+---+

I found a 2-step solution. But, there are lots of interesting things to explore in this one.
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Sat Nov 10, 2007 12:10 am    Post subject: Reply with quote

This looked more intimidating than it turned out to be, what with a large number of polyvalue cells at the start. But it succumbed to a W-Wing, simple coloring and a Type 1 UR.
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Johan



Joined: 25 Jun 2007
Posts: 206
Location: Bornem Belgium

PostPosted: Sat Nov 10, 2007 12:56 am    Post subject: Reply with quote

I found a ER for digit <4> in Box 8, which eliminates <4> in R9C7,

collapsing the whole puzzle.

The grid after basic steps :

Code:

+-----------------+-------------+-----------------+
| 17   4    68    | 17  9   36  | 2     5    38   |
| 2    1568 15678 | 147 15  36  | 1348  348  9    |
| 9    3    15    | 8   125 24  | 14    6    7    |
+-----------------+-------------+-----------------+
| 13   126  12469 | 5   48  7   | 3689  238  1368 |
| 8    25   2579  | 3   6   1   | 579   27   4    |
| 1357 156  14567 | 2   48  9   | 35678 378  1368 |
+-----------------+-------------+-----------------+
| 4    9    38    | 6   7   5   | 38    1    2    |
| 6    128  1238  | 9   12  248 | 3478  3478 5    |
| 15   7    1258  | 14  3   248 | 468   9    68   |
+-----------------+-------------+-----------------+
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Sat Nov 10, 2007 1:16 am    Post subject: Reply with quote

Quote:
I found a ER for digit <4> in Box 8, which eliminates <4> in R9C7,

collapsing the whole puzzle.


My coloring eliminated that same 4, except I needed the UR for completion.
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Johan



Joined: 25 Jun 2007
Posts: 206
Location: Bornem Belgium

PostPosted: Sat Nov 10, 2007 1:29 am    Post subject: Reply with quote

Quote:
My coloring eliminated that same 4, except I needed the UR for completion.


Marty,

After eliminating <4> in R9C7, there was a hidden [56] pair in R6

completing the puzzle.
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

PostPosted: Sat Nov 10, 2007 4:57 am    Post subject: Reply with quote

Quote:
After eliminating <4> in R9C7, there was a hidden [56] pair in R6

completing the puzzle.


I'm a paper-and-pencil guy, but I just tried this on Notepad after eliminating that 4 and wound up here. I didn't see anything further so I used the 13 UR, same thing I did with pencil and paper.

Code:
+-----------------+-------------+-----------------+
| 17   4    6     | 17  9   3   | 2     5    8    |
| 2    8    157   | 147 15  6   | 14    3    9    |
| 9    3    15    | 8   125 24  | 14    6    7    |
+-----------------+-------------+-----------------+
| 13   126  1249  | 5   48  7   | 69    28   13   |
| 8    25   279   | 3   6   1   | 59    27   4    |
| 137  56   147   | 2   48  9   | 56    78   13   |
+-----------------+-------------+-----------------+
| 4    9    8     | 6   7   5   | 3     1    2    |
| 6    12   3     | 9   12  8   | 7     4    5    |
| 5    7    12    | 14  3   24  | 8     9    6    |
+-----------------+-------------+-----------------+
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Asellus



Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA

PostPosted: Sat Nov 10, 2007 5:53 am    Post subject: Reply with quote

I didn't notice the ER because my first step was the Skyscraper in C48 that eliminates <4> from both R9C7 and R8C6. After that, I, too, needed the {13} UR.

I also didn't notice the {15} W-Wing. However, after the Skyscraper, that becomes a Type 6 UR with the same result, which is interesting.

There are also various XY Chain options along various paths.
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