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		| djray 
 
 
 Joined: 08 Nov 2013
 Posts: 4
 Location: Middleport,Pa
 
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				|  Posted: Fri Nov 08, 2013 6:56 pm    Post subject: Nice Loops |   |  
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				| Can anyone help me with nice loops |  |  
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		| keith 
 
 
 Joined: 19 Sep 2005
 Posts: 3355
 Location: near Detroit, Michigan, USA
 
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		| djray 
 
 
 Joined: 08 Nov 2013
 Posts: 4
 Location: Middleport,Pa
 
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				|  Posted: Sun Nov 10, 2013 2:06 pm    Post subject: Type 3 Discontinuous Nice Loop |   |  
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				| Current puzzle from Sudoku XP5 @paulspages.com 
 4 . 7 . 9 2 . 6 .
 . 6 2 8 5 . 7 4 .
 5 . . 4 7 6 . 2 3
 . . 8 . 2 4 . 5 .
 2 . . 5 . 7 . . 6
 . 5 . 9 . . 2 . .
 8 . . . . 5 . . 2
 . 2 6 . . 8 . 1 .
 . 4 5 2 1 9 6 . .
 
 
 Current Candidates:
 
  	  | Code: |  	  | +----------------------+----------------------+----------------------+ | 4      38     7      | 13     9      2      | 58     6      158    |
 | 139    6      2      | 8      5      13     | 7      4      19     |
 | 5      189    19     | 4      7      6      | 189    2      3      |
 +----------------------+----------------------+----------------------+
 | 13679  379    8      | 136    2      4      | 39     5      179    |
 | 2      139    1349   | 5      38     7      | 1489   389    6      |
 | 1367   5      34     | 9      368    13     | 2      378    478    |
 +----------------------+----------------------+----------------------+
 | 8      1379   139    | 367    346    5      | 349    379    2      |
 | 379    2      6      | 37     34     8      | 3459   1      4579   |
 | 37     4      5      | 2      1      9      | 6      378    78     |
 +----------------------+----------------------+----------------------+
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 Hint: 	The blue and green squares form a Type 3 Discontinuous Nice Loop ([R4C2] -3- [R1C2] =3= [R2C1] -3- [R9C1] -7- [R7C2] =7= [R4C2]). The discontinuity is at the blue square. Candidate 3 can be eliminated from this square.
 
 My 1st of many questions is the notation ([R4C2] -3- [R1C2] means a weak link between ([R4C2] & [R1C2] which are  candidates [379] vs [38] is this true?
 
 2nd-Is this  a weak link because these two cells ([R4C2] & [R1C2]  share only one candidate=3 ??
 
 3rd-Isn't there also a link between ([R4C2] & [R7C2]   which are candidates [139] vs [1379] ?
 
 I understand xy chains,forcing chains and forcing loops since these only include bivalue cells. However I am totally confused when cells with 3 or more candidates are in the equation.
 
 Can someone explain the notation as to why there are weak links and strong links.([R4C2] -3- [R1C2] =3= [R2C1] -3- [R9C1] -7- [R7C2] =7= [R4C2]). The discontinuity is at the blue square. Candidate 3 can be eliminated from this square.
 
 Your help will be greatly appreciated. I thank you
 
 (Edited by Marty to align grid)
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