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A VH from BB

 
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Sat Jun 21, 2008 12:10 pm    Post subject: A VH from BB Reply with quote
This one, rated "Super Hard" by Brain Bashers, is "Very Hard" by the ratings used for the Daily Sudoku site.
Code:
Puzzle: BB050908sh
+-------+-------+-------+
| . 8 . | 2 . 6 | . 3 . |
| 4 . . | 8 1 7 | . . 2 |
| . . . | . . . | . . . |
+-------+-------+-------+
| 5 7 . | 3 . 4 | . 9 6 |
| . 9 . | . . . | . 7 . |
| 8 1 . | 9 . 5 | . 2 4 |
+-------+-------+-------+
| . . . | . . . | . . . |
| 1 . . | 7 6 2 | . . 5 |
| . 5 . | 1 . 3 | . 6 . |
+-------+-------+-------+
See if you can do it without Uniqueness. I saw two ways.

Keith
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nataraj



Joined: 03 Aug 2007
Posts: 1048
Location: near Vienna, Austria
PostPosted: Sat Jun 21, 2008 12:25 pm    Post subject: Reply with quote
Here, I'd go for the xyz-wing:

Code:

+--------------------------+--------------------------+--------------------------+
| 79      8       15       | 2       45      6        | 479     3       179      |
| 4       36      39       | 8       1       7        | 69      5       2        |
| 267     26      15       | 45      3       9        | 4678    48      17       |
+--------------------------+--------------------------+--------------------------+
| 5       7       2        | 3       8       4        | 1       9       6        |
| 3       9       4        | 6       2       1        | 5       7       8        |
| 8       1       6        | 9       7       5        | 3       2       4        |
+--------------------------+--------------------------+--------------------------+
| 269     246     79       | 45      459     8        | 2479    1       3        |
| 1       34      389      | 7       6       2        | 489     48      5        |
| 29      5       789      | 1       49      3        | 24789   6       79       |
+--------------------------+--------------------------+--------------------------+


The xyz wing is 1,7,9 in r1c9 and it removes 7 from r1c7.

This leads to another xyz-wing (4,8,9) and this one removes candidate 4 from TWO cells r79c7.

I tried coloring with success, but still needed that 1,7,9 xyz...
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Earl



Joined: 30 May 2007
Posts: 677
Location: Victoria, KS
PostPosted: Sat Jun 21, 2008 2:43 pm    Post subject: hard Reply with quote
Two x-wings, followed by an xyz-wing.

Earl
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keith



Joined: 19 Sep 2005
Posts: 3355
Location: near Detroit, Michigan, USA
PostPosted: Sat Jun 21, 2008 2:47 pm    Post subject: Reply with quote
If you do the X-wings, it comes down to the same XYZ-wing that Nataraj found. There is also a BUG+1. Or the two corner <79> cells are a W-wing that takes out <9> in R1C9.

Keith
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cgordon



Joined: 04 May 2007
Posts: 769
Location: ontario, canada
PostPosted: Sat Jun 21, 2008 3:25 pm    Post subject: Reply with quote
Quote:
If you do the X-wings, it comes down to the same XYZ-wing that Nataraj found. There is also a BUG+1.


Agreed (sans xyz wing).
The two x-wings and the BUG+1
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