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		daj95376
 
 
  Joined: 23 Aug 2008 Posts: 3854
 
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				 Posted: Fri Feb 26, 2010 2:05 am    Post subject: Puzzle 10/02/25 (A) | 
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				 	  | Code: | 	 		   +-----------------------+
 
 | 5 9 . | 7 . 4 | . . . |
 
 | 7 8 . | 2 . . | . . 3 |
 
 | . . 4 | . . . | . . 5 |
 
 |-------+-------+-------|
 
 | 6 2 . | 4 9 . | 5 3 . |
 
 | . . . | 3 2 . | . . 4 |
 
 | 3 . . | . . . | . . 9 |
 
 |-------+-------+-------|
 
 | . . . | 9 . . | 3 . 7 |
 
 | . . . | 6 . . | . . 2 |
 
 | . 6 3 | . 7 2 | 4 9 1 |
 
 +-----------------------+
 
 | 	  
 
Play this puzzle online at the Daily Sudoku site | 
			 
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		storm_norm
 
 
  Joined: 18 Oct 2007 Posts: 1741
 
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				 Posted: Fri Feb 26, 2010 4:32 am    Post subject:  | 
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				whoa
 
 
if you do some multicoloring on 1 you can find a fish like animal that makes 13 eliminations.
 
 
 	  | Code: | 	 		  +------------------+---------------------+----------------+
 
| 5    9    2(1)   | 7     3      4      | 2(1)   8     6 |
 
| 7    8    6      | 2     5(1)   59(1)  | 9(1)   4     3 |
 
| 12   3    4      | 8(1)  68-1   689-1  | 279-1  27-1  5 |
 
+------------------+---------------------+----------------+
 
| 6    2    7(1)   | 4     9      7(1)   | 5      3     8 |
 
| 19   157  5789-1 | 3     2      5678-1 | 67-1   17    4 |
 
| 3    4    578-1  | 8(1)  568-1  5678-1 | 267-1  127   9 |
 
+------------------+---------------------+----------------+
 
| 124  15   25-1   | 9     148    18     | 3      6     7 |
 
| 149  17   79-1   | 6     14     3      | 8      5     2 |
 
| 8    6    3      | 5     7      2      | 4      9     1 |
 
+------------------+---------------------+----------------+ | 	  
 
 
but even better is a als move using the already present xyz-wing
 
 
 	  | Code: | 	 		  +------------------+-----------------+--------------+
 
| 5    9     (12)  | 7   3     4     | 12    8    6 |
 
| 7    8     6     | 2   15    159   | 19    4    3 |
 
| 12   3     4     | 18  168   1689  | 1279  127  5 |
 
+------------------+-----------------+--------------+
 
| 6    2     7(1)  | 4   9     7(1)  | 5     3    8 |
 
| 19   157   15789 | 3   2     15678 | 167   17   4 |
 
| 3    4     1578  | 18  1568  15678 | 1267  127  9 |
 
+------------------+-----------------+--------------+
 
| 124  (15)  (125) | 9   148   8-1   | 3     6    7 |
 
| 149  17    79-1  | 6   14    3     | 8     5    2 |
 
| 8    6     3     | 5   7     2     | 4     9    1 |
 
+------------------+-----------------+--------------+ | 	  
 
the part in red is the xyz-wing and already eliminates the 1 in r8c3
 
ALS[(1)r7c23 = (2)r7c3]r7c23 - (2=1)r1c3 - (1)r4c1 = (1)r4c6; r7c6 <> 1
 
 
then UR type 1 {1,4} is left to finish | 
			 
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		arkietech
 
 
  Joined: 31 Jul 2008 Posts: 1834 Location: Northwest Arkansas USA
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				 Posted: Fri Feb 26, 2010 7:45 am    Post subject:  | 
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				 	  | storm_norm wrote: | 	 		  the part in red is the xyz-wing and already eliminates the 1 in r8c3
 
ALS[(1)r7c23 = (2)r7c3]r7c23 - (2=1)r1c3 - (1)r4c1 = (1)r4c6; r7c6 <> 1
 
 | 	  Nice move Norm    I have to work on chaining moves. I like the concept | 
			 
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		Marty R.
 
 
  Joined: 12 Feb 2006 Posts: 5770 Location: Rochester, NY, USA
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				 Posted: Fri Feb 26, 2010 4:21 pm    Post subject:  | 
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				| I used three ERs, all on 1, followed by an XY-Wing (271), Type 4 UR (14) and a Kite (1). | 
			 
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		tlanglet
 
 
  Joined: 17 Oct 2007 Posts: 2468 Location: Northern California Foothills
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				 Posted: Fri Feb 26, 2010 7:38 pm    Post subject:  | 
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				Norm, your solution was great. I had a variation on your view.
 
 
ALS 179[(9)r8c3 = (1)r48c3]r48c3 - r1c3 = r3c1 - (1=9)r5c1; r8c1<>9.
 
 
I then used the strong inference on the resulting Type 3 UR14.
 
(1=2)r3c1 - UR14[(2)r7c1 = (8)r7c5]r78c15 - (8=1)r7c6; r7c1<>1 plus transport:(1)r7c6 - r4c6 = r4c3; r1c3<>1.
 
 
Ted | 
			 
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		storm_norm
 
 
  Joined: 18 Oct 2007 Posts: 1741
 
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				 Posted: Fri Feb 26, 2010 10:15 pm    Post subject:  | 
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				| with all this firepower, we just kicked this puzzle's butt. | 
			 
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		daj95376
 
 
  Joined: 23 Aug 2008 Posts: 3854
 
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				 Posted: Fri Feb 26, 2010 10:44 pm    Post subject:  | 
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				Not an easy VH+ puzzle to solve.
 
 
 	  | Code: | 	 		   r1  b4  Empty Rectangle                 <> 1    r5c7
 
 r2c4    2-String Kite                   <> 1    r6c7
 
 
 <27+1>  XY-Wing  r3c8/r3c1+r5c8         <> 1    r5c1
 
 
 r78c15  <14> UR Type 4                  <> 1    r7c15
 
 
 r4c2    2-String Kite                   <> 1    r7c6
 
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