XY-Chain dilemma

Post the puzzle or solving technique that's causing you trouble and someone will help

Postby Pat » Tue Jul 08, 2008 10:16 am

Cec wrote:Hey Pat, do I get a pink elephant for
highlighting missing digits in some rows rather than duplicate digits



yes i prefer it that way
though the difference is rather minor
    but i must apologize --
    pink elephant is not in my vocabulary
User avatar
Pat
 
Posts: 4056
Joined: 18 July 2005

Postby eleven » Tue Jul 08, 2008 1:38 pm

Alternative solution:
Code: Select all
 *--------------------------------------------------*
 | 1    26   23   |*45   45   8    | 369  7    69   |
 | 4    9    7    | 1    6    3    | 5    8    2    |
 | 5    68   38   | 2    7    9    | 4    36   1    |
 |----------------+----------------+----------------|
 | 2    5    6    | 7    3    4    | 1    9    8    |
 | 8    1    4    | 56   9    2    | 7    36  *356  |
 | 7    3    9    | 8    15   16   | 2    4    56   |
 |----------------+----------------+----------------|
 | 6    7    12   |#349  8    5    | 39   12  #349  |
 | 3    4    18   | 69   2    16   | 689  5    7    |
 | 9    28   5    |#346  14   7    | 368  12  #346  |
 *--------------------------------------------------*

The UR 34 only leaves the 4 in r1c4 and the 3 in r5c9 in columns 49 (one of them must be true).
r5c9=3 -> r5c8=6 -> r5c4=5 -> r1c4=4
So in both cases we have r1c4=4.
eleven
 
Posts: 3173
Joined: 10 February 2008

XY-Chain dilemma

Postby Cec » Tue Jul 08, 2008 2:04 pm

Pat wrote:
Cec wrote:"..However, by setting 6 at the start of the chain (r1c2)
the implications leave 3 at the end of the chain (r3c8)


how is that ??
which implications ??
    please explain how you start with
      r1c2 = 6
    and reach the conclusion
      r3c8 = 3

Here's my explanation or should I say error!

Cell r1c2 can only be 1 or 6. As stated by Steve above, if r1c2 does not contain 6 then that cell would be 2 which leads to r3c8=6.

Conversely, I similarly assumed that if r1c2 does not contain 2 then that cell would be 6. By "tracking" through the chain from A to K this leads to r3c8 being 3. hobiwan detected my error in cell H (r5c4) where I incorrectly implied r5c8=6 due to my ignoring the additional candidate 6 in r5c9. I assumed, incorrectly as it now seems, that because the chain included only bi-value cells, then any cells such as r5c9 which have more than two candidates could be ignored even though such cells could contain the "common" candidate 6, as in this case, which "bridges" the two cells H(r5c4) and J(r5c8).

Due to an annoying computer problem which has developed since upgrading my computer, I lose my typed individual replies to posts when trying to include these in the same thread. I would have liked to replied to all replies received so thanks again to all. The bottom line is that I still struggle with these notations and get frustrated because I still find the jargon difficult to follow.

Thanks udosuk for the following link which shows a similar multi-cell chain
http://forum.enjoysudoku.com/viewtopic.php?t=1131

As udosuk suggests, it seems I am mistaken the XY-Chain with another move such as the xy-ring.

Edited by Cec 8.40pm Wed 9 July. slash replaced dot after word com. thanks to eleven

Cec
Last edited by Cec on Wed Jul 09, 2008 6:10 am, edited 1 time in total.
Cec
 
Posts: 1039
Joined: 16 June 2005

Re: XY-Chain dilemma

Postby eleven » Tue Jul 08, 2008 7:42 pm

Cec wrote:The bottom line is that I still struggle with these notations and get frustrated because I still find the jargon difficult to follow.
You are not the only one:)
btw i would like to see the NL and AIC notation for my solution above.

Cec, please note, that you copied the link wrong. After "com" there should be a slash instead of the dot.
eleven
 
Posts: 3173
Joined: 10 February 2008

Re: XY-Chain dilemma

Postby daj95376 » Tue Jul 08, 2008 9:34 pm

[Withdrawn:]
Last edited by daj95376 on Tue Jul 08, 2008 6:05 pm, edited 1 time in total.
daj95376
2014 Supporter
 
Posts: 2624
Joined: 15 May 2006

Re: XY-Chain dilemma

Postby ronk » Tue Jul 08, 2008 9:58 pm

eleven wrote:i would like to see the NL and AIC notation for my solution above.

Pretty much just like you wrote ...

AUR(34)r79c49:(r1c4 =4|3= r5c9) -3- r5c8 -6- r5c4 -5- r1c4 ==>r1c4<>5

(4)r1c4 =AUR(34)r79c49= (3)r5c9 - (3=6)r5c8 - (6=5)r5c4 ==>r1c4<>5

[edit4: as eleven suggested, added AUR location and digts to notation]
Last edited by ronk on Wed Jul 09, 2008 1:38 pm, edited 5 times in total.
ronk
2012 Supporter
 
Posts: 4764
Joined: 02 November 2005
Location: Southeastern USA

Postby Glyn » Tue Jul 08, 2008 9:59 pm

eleven Either of these should do the trick in Eureka notation, different players use slightly varied notations. My chain takes a slightly different route to set r1c4<>5. Hope it's of use anyway.

Code: Select all
UR (r79c49=34):
(4)r9c5-(4=5)r1c5
||
(3-5)r5c9=(5)r5c4
.


Code: Select all
(34)AUR r79c49
||
(4)r9c5-(4=5)r1c5
||
(3-5)r5c9=(5)r5c4


Here this Kraken always has the top option false at least one of the others must be true.

EDIT The notation is Eureka the Kraken is the structure leading to at least one free end being true. So not an AIC sorry for the confusion. The vertical || are not strong links.
Last edited by Glyn on Wed Jul 09, 2008 5:29 am, edited 2 times in total.
Glyn
 
Posts: 357
Joined: 26 April 2007

Postby eleven » Wed Jul 09, 2008 8:04 am

Thanks for the notations.

What i am missing in ronk's are the cells of the AUR (of course no problem to add them).

I thought, Eureka and AIC notations were synonyms ... (or is the Kraken notation just a variety ?)

Concerning Glyn's route i dont see the link (4)r9c5=(3)r5c9 directly from the AUR (i would need the the AUR link (4)r9c5=(3)r79c7)
eleven
 
Posts: 3173
Joined: 10 February 2008

Postby ronk » Wed Jul 09, 2008 11:58 am

eleven wrote:What i am missing in ronk's are the cells of the AUR (of course no problem to add them).

You're right, of course, so I've edited the post.
ronk
2012 Supporter
 
Posts: 4764
Joined: 02 November 2005
Location: Southeastern USA

Re: XY-Chain dilemma

Postby Cec » Wed Jul 09, 2008 2:42 pm

eleven wrote:"...Cec, please note, that you copied the link wrong. After "com" there should be a slash instead of the dot.

Thanks eleven. I've corrected my above post.

Cec
Cec
 
Posts: 1039
Joined: 16 June 2005

Previous

Return to Help with puzzles and solving techniques