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Stuart/Mepham Fri June 1st

 
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Mogulmeister



Joined: 03 May 2007
Posts: 695

PostPosted: Fri Jun 01, 2007 11:28 am    Post subject: Stuart/Mepham Fri June 1st Reply with quote

Here's today's puzzle:

Code:
 
+---+---+---+
|...|.8.|...|
|52.|...|.86|
|.1.|9..|.4.|
+---+---+---+
|.7.|3.1|.9.|
|1..|.9.|..4|
|.5.|8.6|.1.|
+---+---+---+
|.6.|..9|.7.|
|29.|...|.58|
|...|.2.|...|
+---+---+---+
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keith



Joined: 19 Sep 2005
Posts: 3173
Location: near Detroit, Michigan, USA

PostPosted: Fri Jun 01, 2007 9:11 pm    Post subject: Reply with quote

Seems to me, this one needs two XY-wings. There is a UR that is not, in the end, useful.

Keith
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Mogulmeister



Joined: 03 May 2007
Posts: 695

PostPosted: Fri Jun 01, 2007 9:37 pm    Post subject: Reply with quote

Yes, same for me - any other solve paths ?
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keith



Joined: 19 Sep 2005
Posts: 3173
Location: near Detroit, Michigan, USA

PostPosted: Sat Jun 02, 2007 8:50 pm    Post subject: Reply with quote

This is where you find the first XY-wing:
Code:
+-------------------+-------------------+-------------------+
| 469   3     4679  | 14567 8     457   | 1579  2     1579  |
| 5     2     479   | 147   137   347   | 1379  8     6     |
| 8     1     67    | 9     3567  2     | 357   4     357   |
+-------------------+-------------------+-------------------+
| 46    7     246   | 3     45    1     | 8     9     25    |
| 1     8     3     | 2     9     57    | 57    6     4     |
| 49    5     249   | 8     47    6     | 237   1     237   |
+-------------------+-------------------+-------------------+
| 3     6     8     | 145   15    9     | 124   7     12    |
| 2     9     1     | 467   367   347   | 46    5     8     |
| 7     4     5     | 16    2     8     | 169   3     19    |
+-------------------+-------------------+-------------------+

It is <125> in R47C59. It eliminates <5> in R4C5.

There is a short chain in the same cells. If R4C9 is <2>, it forces two <5>'s in C5. So, R4C9 is <5>. Taking that road, and the UR, you eventually get to the second XY-wing:
Code:
+-------------+-------------+-------------+
| 9   3   67  | 56  8   4   | 15  2   17  |
| 5   2   4   | 17  13  37  | 9   8   6   |
| 8   1   67  | 9   56  2   | 35  4   37  |
+-------------+-------------+-------------+
| 6   7   2   | 3   4   1   | 8   9   5   |
| 1   8   3   | 2   9   5   | 7   6   4   |
| 4   5   9   | 8   7   6   | 23  1   23  |
+-------------+-------------+-------------+
| 3   6   8   | 145 15  9   | 124 7   12  |
| 2   9   1   | 467 36  37  | 46  5   8   |
| 7   4   5   | 16  2   8   | 16  3   9   |
+-------------+-------------+-------------+

It is <156> in R19C47. I cannot see anything else, other than a similar chain in the same cells as the XY-wing.

Keith
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Mogulmeister



Joined: 03 May 2007
Posts: 695

PostPosted: Sat Jun 02, 2007 9:06 pm    Post subject: Reply with quote

I have to agree.
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