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		arkietech
 
 
  Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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				 Posted: Fri Mar 02, 2012 8:27 am    Post subject: Pattern game champagne 3/1/12 | 
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				 	  | Code: | 	 		   *-----------*
 
 |1..|23.|..4|
 
 |..5|..6|.2.|
 
 |.7.|...|1..|
 
 |---+---+---|
 
 |3..|...|.8.|
 
 |5..|.9.|..3|
 
 |.8.|...|.1.|
 
 |---+---+---|
 
 |..8|...|2..|
 
 |.5.|4.7|...|
 
 |7..|.5.|..1|
 
 *-----------*
 
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		JC Van Hay
 
 
  Joined: 13 Jun 2010 Posts: 494 Location: Charleroi, Belgium
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				 Posted: Fri Mar 02, 2012 9:45 am    Post subject:  | 
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				 	  | Code: | 	 		  +--------------------+-------------------+--------------------+
 
| 1    69     69     | 2     3      58   | 578    57    4     |
 
| 48   34     5      | 17    17     6    | 89(3)  2     89    |
 
| 28   7      23     | 589   48     4589 | 1      (36)  58(6) |
 
+--------------------+-------------------+--------------------+
 
| 3    1269   124679 | 1567  12467  1245 | 45679  8     25679 |
 
| 5    126    12467  | 1678  9      1248 | 467    46    3     |
 
| 269  8      24679  | 3567  2467   2345 | 45679  1     25679 |
 
+--------------------+-------------------+--------------------+
 
| 469  13469  8      | 1369  16     139  | 2      57    57    |
 
| 269  5      12369  | 4     126-8  7    | (368)  369   (68)  |
 
| 7    2369   2369   | 3689  5      2389 | 346-8  3469  1     |
 
+--------------------+-------------------+--------------------+
 
 
(68=3)r8c79-3r2c7=(3-6)r3c8=6r3c9-(6=8)r8c9 => -8r8c5.r9c7; stte | 	 
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		arkietech
 
 
  Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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				 Posted: Fri Mar 02, 2012 1:57 pm    Post subject:  | 
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				JC, starting from the same place, I went a different direction 	  | Code: | 	 		  
 
 *-----------------------------------------------------------------------------*
 
 | 1       69      69      | 2       3      d58      |e578    e57      4       |
 
 | 48      34      5       | 17      17      6       | 389     2       89      |
 
 | 28      7       23      | 589    c48      4589    | 1       36     f58-6    |
 
 |-------------------------+-------------------------+-------------------------|
 
 | 3       1269    124679  | 1567    12467   1245    | 45679   8       25679   |
 
 | 5       126     12467   | 1678    9       1248    | 467     46      3       |
 
 | 269     8       24679   | 3567    2467    2345    | 45679   1       25679   |
 
 |-------------------------+-------------------------+-------------------------|
 
 | 469     13469   8       | 1369    16      139     | 2       57      57      |
 
 | 269     5       12369   | 4      b1268    7       | 368     369    a68      |
 
 | 7       2369    2369    | 3689    5       2389    | 3468    3469    1       |
 
 *-----------------------------------------------------------------------------*
 
(6=8)r8c9-(8)r8c5=(8)r3c5-(8=5)r1c6-(5)r1c78=(5)r3c9 => r3c9<>6 | 	 
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		Marty R.
 
 
  Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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				 Posted: Fri Mar 02, 2012 7:59 pm    Post subject:  | 
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				| My first solution was pretty messy, my second one was cleaner. R8c9=8 proves r3c8=6; r3c9, r89c8<>6. | 
			 
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		JC Van Hay
 
 
  Joined: 13 Jun 2010 Posts: 494 Location: Charleroi, Belgium
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				 Posted: Fri Mar 02, 2012 10:16 pm    Post subject:  | 
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				The only interest I found in the solution I posted above lies in the fact that it is a rewriting exercise of a solution in 2 steps : Kite(8R1C5) => -8r8c7; MWing(36) => -6r8c9; stte
 
 
This was successively done as :
 
 
1. Kite(8R1C5)-8r8c7=MWing[(6=3)r8c7-3r2c7=(3-6)r3c8=6r3c9 => -6r8c9]; stte
 
2. Almost MWing : 8r8c7=MWing[(6=3)r8c7-3r2c7=(3-6)r3c8=6r3c9 => -6r8c9 or +8r8c9] => +8r8c79 => -8r8c5.r9c7; stte
 
3. Or (68=3)r8c79-3r2c7=(3-6)r3c8=6r3c9-(6=8)r8c9 => -8r8c5.r9c7; stte
 
 
The final solution is thus based on 4 SIS instead of 5 while remaining equivalent to the simpler initial one.
 
 
On the other hand, a solution proving +6r3c8 still need "Pointing : +8r8c79 => -8r8c5" before stte.
 
 
JC | 
			 
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