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		arkietech
 
 
  Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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				 Posted: Fri Sep 07, 2012 5:26 am    Post subject: Vanhegan fiendish September 6, 2012 | 
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				 	  | Code: | 	 		  
 
 *-----------*
 
 |...|.9.|.83|
 
 |9..|15.|.2.|
 
 |...|2.7|...|
 
 |---+---+---|
 
 |.98|...|.4.|
 
 |5..|6.2|..9|
 
 |.1.|...|65.|
 
 |---+---+---|
 
 |...|3.5|...|
 
 |.3.|.19|..4|
 
 |17.|.6.|...|
 
 *-----------*
 
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		Clement
 
 
  Joined: 24 Apr 2006 Posts: 1113 Location: Dar es Salaam Tanzania
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				 Posted: Fri Sep 07, 2012 7:02 am    Post subject:  | 
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				Code after Basics 	  | Code: | 	 		  
 
+------------+----------+--------------+
 
| 7   2  1   | 4 9   6  | 5    8   3   |
 
| 9   68 -346 | 1 5   *38 | 47   2   67  |
 
| *348 5  346 | 2 38  7  | 149  19  16  |
 
+------------+----------+--------------+
 
| 6   9  8   | 5 37  1  | 237  4   27  |
 
| 5   4  37  | 6 378 2  | 1378 137 9   |
 
| *23  1  237 | 9 4   *38 | 6    5   78  |
 
+------------+----------+--------------+
 
| 48  68 469 | 3 2   5  | 1789 179 178 |
 
| 28  3  5   | 7 1   9  | 28   6   4   |
 
| 1   7  29  | 8 6   4  | 2 39  39  5   |
 
+------------+----------+--------------+
 
 | 	  Skyscraper on 3 in r6c16; r2c3<>3. | 
			 
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		arkietech
 
 
  Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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				 Posted: Fri Sep 07, 2012 12:17 pm    Post subject:  | 
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				Another method with same result:
 
 	  | Code: | 	 		  
 
 *-----------------------------------------------------------*
 
 | 7     2     1     | 4     9     6     | 5     8     3     |
 
 | 9     68    46-3  | 1     5    a38    | 47    2     67    |
 
 | 348   5     346   | 2     38    7     | 149   19    16    |
 
 |-------------------+-------------------+-------------------|
 
 | 6     9     8     | 5     37    1     | 37    4     2     |
 
 | 5     4    d37    | 6     378   2     | 1378  137   9     |
 
 |c23    1    c237   | 9     4    b38    | 6     5     78    |
 
 |-------------------+-------------------+-------------------|
 
 | 48    68    469   | 3     2     5     | 1789  179   178   |
 
 | 28    3     5     | 7     1     9     | 28    6     4     |
 
 | 1     7     29    | 8     6     4     | 239   39    5     |
 
 *-----------------------------------------------------------*
 
Empty Rectangle (ER)
 
3r2c6=r6c6-r6c13=3r5c3 => -3r2c3; stte
 
 
if r2c6 is not a 3 then r5c3 is a 3
 
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		Marty R.
 
 
  Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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				 Posted: Fri Sep 07, 2012 3:58 pm    Post subject:  | 
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				 	  | arkietech wrote: | 	 		  Another method with same result:
 
 	  | Code: | 	 		  
 
 *-----------------------------------------------------------*
 
 | 7     2     1     | 4     9     6     | 5     8     3     |
 
 | 9     68    46-3  | 1     5    a38    | 47    2     67    |
 
 | 348   5     346   | 2     38    7     | 149   19    16    |
 
 |-------------------+-------------------+-------------------|
 
 | 6     9     8     | 5     37    1     | 37    4     2     |
 
 | 5     4    d37    | 6     378   2     | 1378  137   9     |
 
 |c23    1    c237   | 9     4    b38    | 6     5     78    |
 
 |-------------------+-------------------+-------------------|
 
 | 48    68    469   | 3     2     5     | 1789  179   178   |
 
 | 28    3     5     | 7     1     9     | 28    6     4     |
 
 | 1     7     29    | 8     6     4     | 239   39    5     |
 
 *-----------------------------------------------------------*
 
Empty Rectangle (ER)
 
3r2c6=r6c6-r6c13=3r5c3 => -3r2c3; stte
 
 
if r2c6 is not a 3 then r5c3 is a 3
 
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Two more possibilities.
 
 
1) XY-Wing (238), pivot r6c1, flightless, with transport from r8c1 to r2c2; r2c6<>8.
 
 
2) M-Wing (38) in r2c6 and r3c1; pincer 3; r6c6<>3. | 
			 
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		Clement
 
 
  Joined: 24 Apr 2006 Posts: 1113 Location: Dar es Salaam Tanzania
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				 Posted: Fri Sep 07, 2012 5:58 pm    Post subject: Vanhagen fiendish September 6, 2012 | 
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				arkietech
 
Thanks, you have reminded me of the ER's. I have almost stoped looking for them because they occur rarely. However they are good and fun. There are two ER's in this puzzle based on 3's, the one in BOX 2 removes the 3 in r6c6 and the other in BOX 4 removes the 3 in r2c3   . | 
			 
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