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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Fri Oct 06, 2017 5:08 am    Post subject: Oct. 6 VH |   |  
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				|  	  | Code: |  	  | +-----------+---------+-------------+
 | 8 9   46  | 3  7 2  | 1   5   46  |
 | 5 46  3   | 9  8 1  | 67  47  2   |
 | 7 2   1   | 4  6 5  | 9   8   3   |
 +-----------+---------+-------------+
 | 6 3   7   | 1  2 48 | 58  49  459 |
 | 9 1   48  | 6  5 3  | 28  24  7   |
 | 2 45  458 | 7  9 48 | 3   6   1   |
 +-----------+---------+-------------+
 | 3 567 2   | 8  4 9  | 567 1   56  |
 | 1 57  59  | 25 3 6  | 4   279 8   |
 | 4 8   569 | 25 1 7  | 256 3   569 |
 +-----------+---------+-------------+
 
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 Play this puzzle online at the Daily Sudoku site
 
 1) XY-Wing Chain (45-46-46-46-56)b1349=> -5r7c2
 2) XYZ-Wing (57-6), hinged r7c7=> -6r9c7
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		| ZeroAssoluto 
 
 
 Joined: 05 Feb 2017
 Posts: 1019
 Location: Rimini, Italy
 
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				|  Posted: Fri Oct 06, 2017 7:39 am    Post subject: |   |  
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				| Hi everyone, 
 
  	  | Code: |  	  | +-----------+---------+-------------+
 | 8 9   46  | 3  7 2  | 1   5   46  |
 | 5 46  3   | 9  8 1  | 67  47  2   |
 | 7 2   1   | 4  6 5  | 9   8   3   |
 +-----------+---------+-------------+
 | 6 3   7   | 1  2 48 | 58  49  459 |
 | 9 1   48  | 6  5 3  | 28  24  7   |
 | 2 45  458 | 7  9 48 | 3   6   1   |
 +-----------+---------+-------------+
 | 3 567 2   | 8  4 9  | 567 1   56  |
 | 1 57  59  | 25 3 6  | 4   279 8   |
 | 4 8   569 | 25 1 7  | 256 3   569 |
 +-----------+---------+-------------+
 
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 Play this puzzle online at the Daily Sudoku site
 
 
  	  | Quote: |  	  | Skyscraper with number 4 in r1c39,r5c38 and -4 in r2c8,r4c9 or
 Skyscraper with number 4 in r2c28,r5c38 and -4 in r1c3,r6c2
 or
 Finned X-Wing with number 6 in r19c39 finned r9c7and -6 in r7c9
 or
 Simple Colors with number 6 in black=r1c3,r2c7,r7c2 withe=r1c9,r2c2,r9c3 and -6 in r7c9,r9c7
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 Ciao Gianni
 
 P.S. @Marty
 With the XYZ-Wing you can go to the end without using other techniques?
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		| ZeroAssoluto 
 
 
 Joined: 05 Feb 2017
 Posts: 1019
 Location: Rimini, Italy
 
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				|  Posted: Fri Oct 06, 2017 10:02 am    Post subject: |   |  
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				| @Marty, 
 excuse me, another question
 
 XY-Wing Chain is the same or different from XY-Chain?
 
 Thanks Gianni
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		| Ajò Dimonios 
 
 
 Joined: 01 May 2017
 Posts: 339
 Location: Sassari Italy
 
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				|  Posted: Fri Oct 06, 2017 10:22 am    Post subject: |   |  
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				| Hi everyone 
 skyscraper ( 4 finned fishes x-wing)
 4(Line 1 and line 5, fin R5C8=4)=>-4R4C9=>stte
 or
 4(Line 1 and line 5, fin R1C9=4)=>-4R2C8=>stte
 
 Ciao a Tutti
 
 Paolo
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		| George Woods 
 
 
 Joined: 28 Mar 2006
 Posts: 304
 Location: Dorset UK
 
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				|  Posted: Fri Oct 06, 2017 1:22 pm    Post subject: Is this the same as a skyscraper? |   |  
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				| A 4 in r1c3 immediately leads to a 4 in r2c8 which leaves row 5 destitute of 4s! so r1c3 cannot be 4 ...ste |  | 
	
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		| hughwill 
 
 
 Joined: 05 Apr 2010
 Posts: 424
 Location: Birmingham UK
 
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				|  Posted: Fri Oct 06, 2017 6:02 pm    Post subject: Re: Oct. 6 VH |   |  
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				|  	  | Marty R. wrote: |  	  | Play this puzzle online at the Daily Sudoku site
 
 1) XY-Wing Chain (45-46-46-46-56)b1349=> -5r7c2
 2) XYZ-Wing (57-6), hinged r7c7=> -6r9c7
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 After the XYZ wing:
  	  | Code: |  	  | +-----------+---------+------------+
 | 8 9   46  | 3  7 2  | 1  5   46  |
 | 5 46  3   | 9  8 1  | 67 47  2   |
 | 7 2   1   | 4  6 5  | 9  8   3   |
 +-----------+---------+------------+
 | 6 3   7   | 1  2 48 | 58 49  459 |
 | 9 1   48  | 6  5 3  | 28 24  7   |
 | 2 45  458 | 7  9 48 | 3  6   1   |
 +-----------+---------+------------+
 | 3 567 2   | 8  4 9  | 67 1   56  |
 | 1 57  59  | 25 3 6  | 4  279 8   |
 | 4 8   69  | 25 1 7  | 25 3   69  |
 +-----------+---------+------------+
 
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 Play this puzzle online at the Daily Sudoku site
 
 Marty, Don't we need a X wing on 6 r19  (r7c9<>6) to put this to bed?
 
 Hugh
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Fri Oct 06, 2017 6:04 pm    Post subject: |   |  
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				|  	  | ZeroAssoluto wrote: |  	  | @Marty, 
 excuse me, another question
 
 XY-Wing Chain is the same or different from XY-Chain?
 
 Thanks Gianni
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 Gianni,
 
 An XY-Chain is an AIC consisting only of bivalue cells. An XY-Wing is the shortest possible XY-Chain.
 
 An XY-Wing Chain is where three remote pairs can serve as the XY cell of an XY-Wing as long as the first and third remote pairs see the XZ and YZ cells. In this case I saw no 46-5 XY-Wing, but but the three 46 cells serve as the XY cell and work with a 45 and 65 cell as an XY-Wing.
 
 
  	  | Quote: |  	  | P.S. @Marty With the XYZ-Wing you can go to the end without using other techniques?
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 Yes, not by itself, but as a second move.
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		| ZeroAssoluto 
 
 
 Joined: 05 Feb 2017
 Posts: 1019
 Location: Rimini, Italy
 
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				|  Posted: Fri Oct 06, 2017 9:51 pm    Post subject: |   |  
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				| Thanks Marty |  | 
	
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Sat Oct 07, 2017 3:17 am    Post subject: |   |  
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				|  	  | Quote: |  	  | Marty, Don't we need a X wing on 6 r19 (r7c9<>6) to put this to bed? | 
 
 Hugh, we need something; I can't see any additional basics.
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		| ZeroAssoluto 
 
 
 Joined: 05 Feb 2017
 Posts: 1019
 Location: Rimini, Italy
 
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				|  Posted: Sat Oct 07, 2017 7:16 am    Post subject: |   |  
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				| Hi Marty, 
 if I can help, I think the problem is that, as in my case, I thought that to solve the scheme you would use XY-Wing Chain OR XYZ-Wing, not both.
 That's why I asked you if you use other techniques after XYZ-Wing.
 Maybe that's the misunderstanding with me and Hugh.
 
 Ciao Gianni
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		| Marty R. 
 
 
 Joined: 12 Feb 2006
 Posts: 5770
 Location: Rochester, NY, USA
 
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				|  Posted: Sat Oct 07, 2017 6:23 pm    Post subject: |   |  
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				|  	  | ZeroAssoluto wrote: |  	  | Hi Marty, 
 if I can help, I think the problem is that, as in my case, I thought that to solve the scheme you would use XY-Wing Chain OR XYZ-Wing, not both.
 That's why I asked you if you use other techniques after XYZ-Wing.
 Maybe that's the misunderstanding with me and Hugh.
 
 Ciao Gianni
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 Could be. I do most of my puzzles with pencil and paper and, unfortunately, I'm prone to mechanical errors. I thought that neither the XY-Wing chain nor the XYZ-Wing was a one-stepper, so I played the chain first followed by the wing. I do not get upset when someone points out my errors and I urge you to let me know if you see something I did wrong.
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		| keith 
 
 
 Joined: 19 Sep 2005
 Posts: 3355
 Location: near Detroit, Michigan, USA
 
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				|  Posted: Mon Oct 30, 2017 7:41 am    Post subject: |   |  
				| 
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				|  	  | Code: |  	  | +-------+-------+-------+
 | . 9 . | . 7 . | . 5 . |
 | 5 . 3 | 9 . . | . . 2 |
 | . . . | 4 6 . | 9 . . |
 +-------+-------+-------+
 | 6 . 7 | . 2 . | . . . |
 | 9 . . | 6 . 3 | . . 7 |
 | . . . | . 9 . | 3 . 1 |
 +-------+-------+-------+
 | . . 2 | . 4 9 | . . . |
 | 1 . . | . . 6 | 4 . 8 |
 | . 8 . | . 1 . | . 3 . |
 +-------+-------+-------+
 
 | 
 Play this puzzle online at the Daily Sudoku site
 After basics:
 
  	  | Code: |  	  | +-------------+-------------+-------------+ | 8   9   46  | 3   7   2   | 1   5   46  |
 | 5   46  3   | 9   8   1   | 67  47  2   |
 | 7   2   1   | 4   6   5   | 9   8   3   |
 +-------------+-------------+-------------+
 | 6   3   7   | 1   2   48  | 58  49  459 |
 | 9   1   48  | 6   5   3   | 28  24  7   |
 | 2   45  458 | 7   9   48  | 3   6   1   |
 +-------------+-------------+-------------+
 | 3   567 2   | 8   4   9   | 567 1   56  |
 | 1   57  59  | 25  3   6   | 4   279 8   |
 | 4   8   569 | 25  1   7   | 256 3   569 |
 +-------------+-------------+-------------+
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 There are two XYZ-wings:
 2-56 in R9C9
 5-67 in R9C7
 
 After the second you still need an x-wing.
 
 HSH points out a number of other interesting possibilities:
 
 
 
  	  | Code: |  	  | +-----------+-----------+-----------+
 |  8  9  .  |  3  7  2  |  1  5  .  |
 |  5  .  3  |  9  8  1  |  .  .  2  |
 |  7  2  1  |  4  6  5  |  9  8  3  |
 +-----------+-----------+-----------+
 |  6  3  7  |  1  2  .  |  .  .  .  |
 |  9  1  .  |  6  5  3  |  .  .  7  |
 |  2  .  .  |  7  9  .  |  3  6  1  |
 +-----------+-----------+-----------+
 |  3  .  2  |  8  4  9  |  .  1  .  |
 |  1  .  .  |  .  3  6  |  4  .  8  |
 |  4  8  .  |  .  1  7  |  .  3  .  |
 +-----------+-----------+-----------+
 
 +--------------------------+--------------------------+--------------------------+
 | 8       9       46       | 3       7       2        | 1       5       46       |
 | 5       46      3        | 9       8       1        | 67      47      2        |
 | 7       2       1        | 4       6       5        | 9       8       3        |
 +--------------------------+--------------------------+--------------------------+
 | 6       3       7        | 1       2       48       | 58      49      459      |
 | 9       1       48       | 6       5       3        | 28      24      7        |
 | 2       45      458      | 7       9       48       | 3       6       1        |
 +--------------------------+--------------------------+--------------------------+
 | 3       567     2        | 8       4       9        | 567     1       56       |
 | 1       57      59       | 25      3       6        | 4       279     8        |
 | 4       8       569      | 25      1       7        | 256     3       569      |
 +--------------------------+--------------------------+--------------------------+
 
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 [url=http://sudoku.saueregger.at/HSH/HSF.htm?p=*EN*HSF3:39:42 AM*6*10/30/2017*8:9:46:3:7:2:1:5:46:5:46:3:9:8:1:67:47:2:7:2:1:4:6:5:9:8:3:6:3:7:1:2:48:58:49:459:9:1:48:6:5:3:28:24:7:2:45:458:7:9:48:3:6:1:3:567:2:8:4:9:567:1:56:1:57:59:25:3:6:4:279:8:4:8:569:25:1:7:256:3:569:*]Print (PDF) using Helmut's Sudoku Formatter[/url]
 
 Keith
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