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AU Tough for Feb. 22

 
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Sun May 04, 2008 11:20 pm    Post subject: AU Tough for Feb. 22 Reply with quote
After basics, I was left with this surprisingly simple-looking grid. Except it wasn't so simple. I couldn't get a BUG+3 out of it. There were at least two XY-Chains and it succumbed easily to Medusa, but I'm wondering what else is in there.

Code:

+----------+-----------+---------+
| 3  4 158 | 9  258 17 | 12 6 78 |
| 27 9 18  | 6  28  17 | 3  5 4  |
| 27 6 158 | 25 4   3  | 12 9 78 |
+----------+-----------+---------+
| 5  3 6   | 4  7   9  | 8  1 2  |
| 9  2 4   | 3  1   8  | 5  7 6  |
| 1  8 7   | 25 25  6  | 9  4 3  |
+----------+-----------+---------+
| 8  5 3   | 1  6   4  | 7  2 9  |
| 6  7 2   | 8  9   5  | 4  3 1  |
| 4  1 9   | 7  3   2  | 6  8 5  |
+----------+-----------+---------+

Play this puzzle online at the Daily Sudoku site
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Asellus



Joined: 05 Jun 2007
Posts: 865
Location: Sonoma County, CA, USA
PostPosted: Mon May 05, 2008 12:55 am    Post subject: Reply with quote
Well... you could see it as an APE situation:

r2c56 cannot be 27 or 81. So, it must be either 21 or 87. Whichever of these it is, r1c56 cannot be the other (due to r1c79). So, r1c5 must be <5>.
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Earl



Joined: 30 May 2007
Posts: 677
Location: Victoria, KS
PostPosted: Mon May 05, 2008 1:33 am    Post subject: vh Reply with quote
An xy-chain from R2C5 to R1C7 eliminates the <2> from R1C5 and opens the puzzle.

Earl
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Myth Jellies



Joined: 27 Jun 2006
Posts: 64
PostPosted: Mon May 05, 2008 2:59 am    Post subject: Reply with quote
Code:

+-----------+--------------+----------+
| 3  4 -158 | 9  *28+5 *17 |*12 6 *78 |
|*27 9 *18  | 6  *28   *17 | 3  5  4  |
|*27 6 *18+5|-25  4     3  |*12 9 *78 |
+-----------+--------------+----------+
| 5  3  6   | 4   7     9  | 8  1  2  |
| 9  2  4   | 3   1     8  | 5  7  6  |
| 1  8  7   | 25  25    6  | 9  4  3  |
+-----------+--------------+----------+
| 8  5  3   | 1   6     4  | 7  2  9  |
| 6  7  2   | 8   9     5  | 4  3  1  |
| 4  1  9   | 7   3     2  | 6  8  5  |
+-----------+--------------+----------+

This BUG-Lite+2 eliminates some fives for the solution.

The deadly pattern of this BUG-Lite is kind of pretty...
Code:

-- -- -- | -- bd ac | ab -- cd
bc -- ad | -- bd ac | -- -- --
bc -- ad | -- -- -- | ab -- cd
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