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Bud
Joined: 06 May 2010
Posts: 47
Location: Tampa, Florida
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 Posted: Thu Nov 18, 2010 5:32 pm Post subject: Discontinuous NL/Hidden Continuous NL Pattern |
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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: 3854
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| Posted: Thu Nov 18, 2010 8:10 pm Post subject: |
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[Withdrawn ...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: 398
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| Posted: Thu Nov 18, 2010 11:30 pm Post subject: |
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| 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
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I was hoping someone would clarify the continuous loop. I didn't find it. |
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daj95376
Joined: 23 Aug 2008
Posts: 3854
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| Posted: Fri Nov 19, 2010 12:31 am Post subject: |
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[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
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| Posted: Fri Nov 19, 2010 12:35 am Post subject: |
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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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