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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Wed Nov 05, 2008 8:52 am Post subject: No XY/XYZ-Wings: Set A Puzzle 13 |
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Same Rules!
Code: | +-----------------------+
| . . 4 | 2 . 7 | . 5 . |
| . 2 . | . . 3 | . . . |
| 3 . 7 | . 6 8 | . . . |
|-------+-------+-------|
| 8 . . | 3 . 1 | . . 6 |
| . . 2 | . . . | . . . |
| 1 3 6 | 7 . . | 5 . 8 |
|-------+-------+-------|
| . . . | . . 4 | 6 . . |
| 7 . . | . . . | . . 2 |
| . . . | 6 . 9 | . 3 5 |
+-----------------------+
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storm_norm
Joined: 18 Oct 2007 Posts: 1741
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Posted: Wed Nov 05, 2008 11:00 pm Post subject: |
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Code: | .---------------------.---------------------.---------------------.
| 6 18 4 | 2 19 7 | 1389 5 139 |
| 9 2 158 | 4 15 3 | 178 6 17 |
| 3 15 7 | 59 6 8 | 1249 1249 149 |
:---------------------+---------------------+---------------------:
| 8 479 59 | 3 459 1 | 2479 2479 6 |
| 45 4579 2 | 59 8 6 | 13479 1479 13479 |
| 1 3 6 | 7 49 2 | 5 49 8 |
:---------------------+---------------------+---------------------:
| 25 159 3 | 18 27 4 | 6 1789 179 |
| 7 6 19 | 18 3 5 | 149 1489 2 |
| 24 148 18 | 6 27 9 | 17 3 5 |
'---------------------'---------------------'---------------------' |
the grid above is after the initial x-wing on 5
then this use of a naked pair elimination
if r9c2 is not 4 => leaves naked pair on 18 in r19c2, this eliminates the 1 in r3c2
r3c2=> 5
r7c2 <> 5, r7c1 <> 2, r9c1 = 2
which means r9c1 is not 4
I will need help with this AIC notation
(4)r9c2=np(18)r19c2-(1=5)r3c2-(5)r7c2=(5-2)r7c1=(2)r9c1; r9c1 <> 4 |
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Asellus
Joined: 05 Jun 2007 Posts: 865 Location: Sonoma County, CA, USA
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Posted: Thu Nov 06, 2008 6:09 am Post subject: |
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Norm,
Your AIC uses a 2-cell ALS along the chain. In a bivalue (the smallest possible ALS), it is obvious that there is a strong link (or weak link, since it is conjugate) between the two digits. In an ALS larger than 2 cells, any two (grouped as necessary) digits within the ALS are strongly linked. Here, you are using the 2-cell 148 ALS in r19c2. So, from that, you could, in principle, use (1)r19c2=(4)r9c2 or (1)r19c2=(8)r19c2 or (8)r19c2=(4)r9c2.
In your AIC, you are using the first choice (which is the only useful one since the grouped <8>s do not weakly link to anything). This is how the complete AIC appears:
(4)r9c1 - ALS[(4)r9c2=(1)r19c2] - (1=5)r3c2 - (5)r7c2=(5-2)r7c1=(2-4)r9c1; r9c1<>4
[Edit to fix typo and clarify.]
Last edited by Asellus on Thu Nov 06, 2008 1:43 pm; edited 1 time in total |
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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Thu Nov 06, 2008 7:56 am Post subject: |
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Hint: Don't leave [stack 1]. |
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Asellus
Joined: 05 Jun 2007 Posts: 865 Location: Sonoma County, CA, USA
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Posted: Thu Nov 06, 2008 2:08 pm Post subject: |
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Norm,
An alternate view that is equivalent to your AIC is the 2 ALS "xz wing" of {1458} in r139c2 and {245} in r79c1. The shared exclusive <4>s give shared common pincer <5>s in r3c2 and r1c7, eliminating <5> from r7c2. As an AIC, it is:
(5)r7c2 - ALSr139c2[(5)r3c2=(4)r9c2] - ALS[(4)r9c1=(5)r7c1] - (5)r7c2; r7c2<>5
I don't know if that's what Danny is hinting at. |
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ravel
Joined: 21 Apr 2006 Posts: 536
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Posted: Thu Nov 06, 2008 4:42 pm Post subject: |
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Asellus wrote: | I don't know if that's what Danny is hinting at. |
I see a (half) M-wing there. |
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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Thu Nov 06, 2008 6:32 pm Post subject: |
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ravel wrote: | Asellus wrote: | I don't know if that's what Danny is hinting at. |
I see a (half) M-wing there. |
Bingo |
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storm_norm
Joined: 18 Oct 2007 Posts: 1741
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Posted: Thu Nov 06, 2008 7:31 pm Post subject: |
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can anyone give me a graphical representation of what a ALS-xy, ALS-xz looks like? the reason I ask is because nothing i have read on the subject has brought me closer to finding them. for my money, these set counting techniques are better left for an algorithm in a basic program. what I can guartentee in return is a fat smile and total gratification once this concept is finally integrated in my blind brain. what I don't want to do is read 4 pages of examples. I want candidates circled, I want arrows, I want lines of thought, I want descriptions of why the candidates have a relationship, etc, etc, etc please??? |
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keith
Joined: 19 Sep 2005 Posts: 3355 Location: near Detroit, Michigan, USA
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Posted: Thu Nov 06, 2008 11:11 pm Post subject: |
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> can anyone give me a graphical representation
> of what a ALS-xy, ALS-xz looks like?
And, please put your reply in the "Solution Techniques" thread.
Thank you,
Keith |
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daj95376
Joined: 23 Aug 2008 Posts: 3854
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Posted: Fri Nov 07, 2008 12:10 am Post subject: |
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storm_norm wrote: | can anyone give me a graphical representation of what a ALS-xy, ALS-xz looks like? the reason I ask is because nothing i have read on the subject has brought me closer to finding them. for my money, these set counting techniques are better left for an algorithm in a basic program. what I can guartentee in return is a fat smile and total gratification once this concept is finally integrated in my blind brain. what I don't want to do is read 4 pages of examples. I want candidates circled, I want arrows, I want lines of thought, I want descriptions of why the candidates have a relationship, etc, etc, etc please??? |
Everything you ever wanted to know (and a whole lot more) about ALS.
http://www.sudoku.org.uk/SudokuThread.asp?fid=4&sid=10326&p1=1&p2=11 |
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Asellus
Joined: 05 Jun 2007 Posts: 865 Location: Sonoma County, CA, USA
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Posted: Sun Nov 09, 2008 5:05 am Post subject: |
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I just want to say that I think that the ALS tutorial in the link from the previous post is excellent! I agree with the author that terms such as "xz-wing" are less useful than grasping the power of ALS in general. (And, nowhere is subset counting used, which, I agree, is more for computers than for people.) |
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