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		| storm_norm 
 
 
 Joined: 18 Oct 2007
 Posts: 1741
 
 
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				|  Posted: Mon Jun 01, 2009 9:20 pm    Post subject: MM #1419 and 1421 |   |  
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				| #1419 
  	  | Code: |  	  | +-------+-------+-------+
 | . . 6 | . 8 . | . . . |
 | 8 . 5 | 2 . 4 | . 7 9 |
 | 2 . . | . . . | . 3 . |
 +-------+-------+-------+
 | 5 . . | . . . | . 6 . |
 | . . . | 9 . 3 | 2 . . |
 | . 2 . | . . . | . . 7 |
 +-------+-------+-------+
 | . . . | . . . | . . 6 |
 | 4 7 . | 8 . 2 | 1 . 3 |
 | . . . | . 3 . | 4 . . |
 +-------+-------+-------+
 
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 open in Draw/Play page
 
 #1421
 
  	  | Code: |  	  | +-------+-------+-------+
 | 2 . . | 5 . 6 | . 1 4 |
 | . . . | . . 4 | . . . |
 | . . 7 | . 1 . | 9 . . |
 +-------+-------+-------+
 | . 9 . | . 6 . | 7 5 . |
 | . . 2 | . . . | 6 . . |
 | . 7 1 | . 8 . | . 2 . |
 +-------+-------+-------+
 | . . 8 | . 3 . | 5 . . |
 | . . . | 4 . . | . . . |
 | 9 4 . | 1 . 8 | . . 7 |
 +-------+-------+-------+
 
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 open in the Draw/Play page
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Fri Jun 05, 2009 5:02 am    Post subject: |   |  
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				| 1419 had two ERs and a Type 4 UR which I don't remember if it was needed. |  |  
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		| storm_norm 
 
 
 Joined: 18 Oct 2007
 Posts: 1741
 
 
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				|  Posted: Fri Jun 05, 2009 6:52 am    Post subject: |   |  
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				| #1421 isn't so obvious but this is probably the most direct route.
 after basics
 
 
  	  | Code: |  	  | .---------------------.---------------------.---------------------. | 2      38     9     | 5      7      6     | 38     1      4     |
 | 1358   13568  356   | 2389   29     4     | 238    7      256   |
 | 4      3568   7     | 238    1      23    | 9      36     256   |
 :---------------------+---------------------+---------------------:
 | 38     9      4     | 23     6      123   | 7      5      138   |
 | 358    358    2     | 7      4      139   | 6      89     1389  |
 | 6      7      1     | 39     8      5     | 4      2      39    |
 :---------------------+---------------------+---------------------:
 | 17     12     8     | 6      3      279   | 5      4      29    |
 | 357    2356   356   | 4      259    279   | 1      89     2689  |
 | 9      4      56    | 1      25     8     | 23     36     7     |
 '---------------------'---------------------'---------------------'
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 skyscraper 9
 gets it to here.
 
  	  | Code: |  	  | .---------------------.---------------------.---------------------. | 2     *38     9     | 5      7      6     |*38     1      4     |
 | 1358   13568 *356   | 238    9      4     | 238    7      256   |
 | 4      3568   7     | 238    1      23    | 9      36     256   |
 :---------------------+---------------------+---------------------:
 | 38     9      4     | 23     6      123   | 7      5      18    |
 | 358    358    2     | 7      4      13    | 6      89     189   |
 | 6      7      1     | 9      8      5     | 4      2      3     |
 :---------------------+---------------------+---------------------:
 | 17     12     8     | 6      3      79    | 5      4      29    |
 | 357    2356 *35-6   | 4      25     79    | 1      89     2689  |
 | 9      4     *56    | 1     *25     8     |*23     36     7     |
 '---------------------'---------------------'---------------------'
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 (6=5)r9c3 - (5=2)r9c5 - (2=3)r9c7 - (3)r1c7 = (3)r1c2 - (3)r2c3 = (3)r8c3; r8c3 <> 6
 
 leads to a xy-wing {2,5,6} pivot cell r8c2, removes 5 from r9c5 and r8c13
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Sun Jun 07, 2009 5:06 am    Post subject: |   |  
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				| On 1421 I used a Hidden UR (23), ER (9)and a DP 18-13-38. On the first pass, one of the DP killers was invalid and that then left just one candidate to kill it which finished it off. |  |  
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