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Nice Loops

 
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djray



Joined: 08 Nov 2013
Posts: 4
Location: Middleport,Pa

PostPosted: Fri Nov 08, 2013 6:56 pm    Post subject: Nice Loops Reply with quote

Can anyone help me with nice loops
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keith



Joined: 19 Sep 2005
Posts: 3178
Location: near Detroit, Michigan, USA

PostPosted: Fri Nov 08, 2013 10:02 pm    Post subject: Re: Nice Loops Reply with quote

djray wrote:
Can anyone help me with nice loops


http://sudopedia.enjoysudoku.com/Nice_Loop.html

Keith
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djray



Joined: 08 Nov 2013
Posts: 4
Location: Middleport,Pa

PostPosted: Sun Nov 10, 2013 2:06 pm    Post subject: Type 3 Discontinuous Nice Loop Reply with quote

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     |
+----------------------+----------------------+----------------------+


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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