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Discontinuous NL/Hidden Continuous NL Pattern

 
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Bud



Joined: 06 May 2010
Posts: 47
Location: Tampa, Florida

PostPosted: Thu Nov 18, 2010 5:32 pm    Post subject: Discontinuous NL/Hidden Continuous NL Pattern Reply with quote

Some time ago, I gave an example of a 2 digit discontinuous NL pattern(S-Wing) which is also a 3 digit continuous NL. This example illustrates that the inverse can also be true. In this case a 3 digit discontinuous loop pattern hides a 2 digit continuous loop. The original puzzxle is:

980000000040650008037010400700103080004000100000700006008090620400081000000006805

After basic moves, the puzzle is as shown in the diagram below. The discontinuous/continuous loop cells are labeled with asterisks. The AIC for the discontinuous loop is:

(4-9)r4c9=(4)r7c9-r7c6=(4-2)r1c6=(2)r1c79=(9)r3c9 => r4c9<>9

After making this elimination the 24 continuous loop is revealed. This implies r7c4<>4 and r5c9<>2. Note that the continuous loop consists of a 4 4-cell AIC and a grouped 2 4-cell AIC with the ends connected together. This is what I have covered in my post "2 digit 6 cell continuous loop". The extra cell in this example is because of the grouped 2's in box 3.

Discontinuous NL/Hidden Continuous NL Example
Code:

+--------------------+---------------+------------------+
| 9      8     56    | 34   37   247*| 257*  1567  127* |
| 12     4     12    | 6    5    79  | 379   379   8    |
| 56     3     7     | 89   1    289 | 4     56    29*  |
+--------------------+---------------+------------------+
| 7      2569  2569  | 1    246  3   | 259   8     24-9*|
| 23568  2569  4     | 89   26   589 | 1     3579 -2379 |
| 12358  1259  12359 | 7    24   589 | 2359  3459  6    |
+--------------------+---------------+------------------+
| 135    157   8     | 3-45 9    47* | 6     2     14*  |
| 4      256   256   | 25   8    1   | 379   379   379  |
| 123    1279  1239  | 234  37   6   | 8     14    5    |
+--------------------+---------------+------------------+


Last edited by Bud on Thu Nov 18, 2010 8:13 pm; edited 2 times in total
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Thu Nov 18, 2010 8:10 pm    Post subject: Reply with quote

[Withdrawn ... given Bud's last message.]

Last edited by daj95376 on Fri Nov 19, 2010 12:53 am; edited 1 time in total
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ronk



Joined: 07 May 2006
Posts: 397

PostPosted: Thu Nov 18, 2010 11:30 pm    Post subject: Reply with quote

daj95376 wrote:
Bud, there are so many mistakes in your discontinuous chain that I don't know where to begin. So, here it is cleaned up:

Code:
(4)r4c9 = r7c9 - r7c6 = (4-2)r1c6 = r1c79 - (2=9)r3c9  =>  r4c9<>9

I was hoping someone would clarify the continuous loop. I didn't find it.
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Fri Nov 19, 2010 12:31 am    Post subject: Reply with quote

[Withdrawn ... given Bud's last message.]

Last edited by daj95376 on Fri Nov 19, 2010 12:53 am; edited 1 time in total
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Bud



Joined: 06 May 2010
Posts: 47
Location: Tampa, Florida

PostPosted: Fri Nov 19, 2010 12:35 am    Post subject: Reply with quote

After reviewing my notes I had listed the candidates in r1c6 as 24 rather than 247 which means that this post is wrong. This is why you can't find the CNL, Ron. I apologize for this and would like to withdraw the post.

Bud
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