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		Marty R.
 
 
  Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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				 Posted: Tue Mar 24, 2009 4:34 pm    Post subject: Random Outlaw from Paul's Pages | 
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				Lately these haven't been particularly challenging, but I've hit a wall on this one after an XYZ and Finned X-Wing.
 
 
 	  | Code: | 	 		  
 
+----------------+---------------+---------------+
 
| 468  468  7    | 5    1   89   | 3    4689 2   |
 
| 268  1    3468 | 2489 239 7    | 5    4689 489 |
 
| 9    2458 3458 | 248  23  6    | 1    7    48  |
 
+----------------+---------------+---------------+
 
| 46   4569 456  | 269  8   3    | 249  1    7   |
 
| 1    689  2    | 7    69  4    | 89   3    5   |
 
| 3    7    48   | 1    259 259  | 249  489  6   |
 
+----------------+---------------+---------------+
 
| 5    468  468  | 3    7   1    | 4689 2    489 |
 
| 2468 3    9    | 268  256 258  | 7    458  1   |
 
| 7    268  1    | 2689 4   2589 | 68   58   3   |
 
+----------------+---------------+---------------+
 
 | 	  
 
Play this puzzle online at the Daily Sudoku site | 
			 
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		wapati
 
 
  Joined: 10 Jun 2008 Posts: 472 Location: Brampton, Ontario, Canada.
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				 Posted: Tue Mar 24, 2009 5:34 pm    Post subject:  | 
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				SE rates this as an 8.9 out of about 12.
 
 
Here is a report,  not based on the markup though,
 
based on the cells that were solved.
 
 
This Sudoku can be solved using the following logical methods: 
 
40 x Hidden Single 
 
1 x Direct Hidden Pair 
 
1 x Naked Single 
 
5 x Pointing 
 
3 x Claiming 
 
1 x Naked Pair 
 
1 x XYZ-Wing 
 
2 x XY-Wing 
 
2 x Turbot Fish 
 
1 x Forcing Chain 
 
2 x Nishio Forcing Chains 
 
3 x Cell Forcing Chains 
 
5 x Region Forcing Chains 
 
1 x Dynamic Region Forcing Chains
 
 
Sudoku Explainer gives a rating based on the single hardest step. | 
			 
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		ttt
 
 
  Joined: 06 Dec 2008 Posts: 42 Location: vietnam
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				 Posted: Tue Mar 24, 2009 6:08 pm    Post subject:  | 
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				 	  | Code: | 	 		   *-----------------------------------------------------------*
 
 | 468   468   7     | 5     1     89    | 3     4689  2     |
 
 | 248   1     3468  | 2489  239   7     | 5     4689  489   |
 
 | 9     2458  3458  | 248   23    6     | 1     7     48    |
 
 |-------------------+-------------------+-------------------|
 
 | 46    4569  456   | 269   8     3     | 249   1     7     |
 
 | 1     689   2     | 7     69    4     | 89    3     5     |
 
 | 3     7     48    | 1     259   259   | 249   489   6     |
 
 |-------------------+-------------------+-------------------|
 
 | 5     468   468   | 3     7     1     | 4689  2     489   |
 
 | 2468  3     9     | 268   256   258   | 7     458   1     |
 
 | 7     268   1     | 2689  4     2589  | 68    58    3     |
 
 *-----------------------------------------------------------* | 	  
 
My path from Marty’s grid:
 
01: Look at AUR(48)r23c49 => (9)r2c9=(8)r1c6
 
(ht468=9)r7c239-(9)r2c9=(8)r1c6-(8=hp46)r14c1-(4)r8c1=(4)r7c23 => r7c7<>4
 
02: 9’s  r4c2=r5c2-r5c7=r6c8-r1c8=r1c6-r9c6=r9c4 => r4c4<>9, some singles  and from here SS solver can finish this puzzle
 
Note: ht - hidden triple, hp - hidden pair
 
 
ttt | 
			 
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		Marty R.
 
 
  Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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				 Posted: Tue Mar 24, 2009 11:57 pm    Post subject:  | 
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				| Thanks. Based on those comments it's no surprise that I reached an impasse. | 
			 
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		storm_norm
 
 
  Joined: 18 Oct 2007 Posts: 1741
 
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				 Posted: Wed Mar 25, 2009 8:31 am    Post subject:  | 
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				wow.
 
this is what I have so far.
 
(6=4)r4c1 - (4=8)r6c3 - (8)r6c8 = (8)r5c7 - (8=6)r9c7 - (6)r9c4 = (6)r8c45; r8c1 <> 6
 
(6=8)r9c7 - (8=9)r5c7 - (9)r5c2 = (9-5)r4c2 = (5-2)r3c2 = (2)r9c2; r9c2 <> 6
 
(4)r1c12 = (4)r1c8 - (4)r8c8 = (4)r8c1; r2c1 <> 4
 
xyz-wing {4,8,9} removes 8 from r6c7
 
ER 8 removes 8 from r7c3
 
still working... | 
			 
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