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Puzzle 10/06/12: (B) Advanced (corrected)

 
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Sat Jun 12, 2010 8:47 pm    Post subject: Puzzle 10/06/12: (B) Advanced (corrected) Reply with quote

Code:
 +-----------------------+
 | 7 3 . | . 1 . | . . . |
 | 1 . . | 4 8 . | . 3 . |
 | . . . | 3 . 7 | . . . |
 |-------+-------+-------|
 | . 9 6 | . 7 . | 2 . . |
 | 8 7 . | 2 . 4 | . . . |
 | . . 2 | . 3 9 | . 7 4 |
 |-------+-------+-------|
 | . . . | 7 . . | 5 . . |
 | . 5 . | . . 3 | . 8 . |
 | . . . | . . 8 | . . 6 |
 +-----------------------+

Play this puzzle online at the Daily Sudoku site

Code:
 after basics
 +--------------------------------------------------------------+
 |  7     3     458   |  9     1     256   |  46    246   258   |
 |  1     26    59    |  4     8     256   |  679   3     2579  |
 |  29    246   58    |  3     26    7     |  1     2469  58    |
 |--------------------+--------------------+--------------------|
 |  4     9     6     |  8     7     1     |  2     5     3     |
 |  8     7     3     |  2     5     4     |  69    69    1     |
 |  5     1     2     |  6     3     9     |  8     7     4     |
 |--------------------+--------------------+--------------------|
 |  3     8     1     |  7     2469  26    |  5     249   29    |
 |  6     5     49    |  1     249   3     |  479   8     279   |
 |  29    24    7     |  5     49    8     |  3     1     6     |
 +--------------------------------------------------------------+
 # 46 eliminations remain
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tlanglet



Joined: 17 Oct 2007
Posts: 2461
Location: Northern California Foothills

PostPosted: Sun Jun 13, 2010 4:09 am    Post subject: Reply with quote

I really enjoyed this puzzle....

1. AUR58 r13c39 with x-wing 8 overlay; r1c39<>5
2. x-wing 4 r18c37; r1c8,r8c5<>4

3. At this point I once again have a step of questionable validity: a Almost XY-loop (AXY-loop)
Code:
*--------------------------------------------------*
 | 7    3   d48   | 9    1    5    | 46   26   28   |
 | 1    6   b59   | 4    8    2    |a79   3    579  |
 | 29   24  c58   | 3    6    7    | 1    49   58   |
 |----------------+----------------+----------------|
 | 4    9    6    | 8    7    1    | 2    5    3    |
 | 8    7    3    | 2    5    4    | 69   69   1    |
 | 5    1    2    | 6    3    9    | 8    7    4    |
 |----------------+----------------+----------------|
 | 3    8    1    | 7    249  6    | 5    249  29   |
 | 6    5   e49   | 1    29   3    |f479  8    279  |
 | 29   24   7    | 5    49   8    | 3    1    6    |
 *--------------------------------------------------*

The AXY-loop is abcdef plus fin (4) in cell f
If the xy-loop is true then r2c9,r8c59<>9
If the fin is true, (4)r8c7 - (4=9)r8c3; r8c59<>9

4. If the above is valid, I finished the puzzle with a BUG+1 which forces r7c8=9

So, let the fun begin; the shooting gallery is open...........

Ted
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Luke451



Joined: 20 Apr 2008
Posts: 310
Location: Southern Northern California

PostPosted: Sun Jun 13, 2010 6:57 am    Post subject: Reply with quote

From the peanut gallery:
Almost works, but so does short and naked.

(9=4)r3c8-(4=6)r1c7-(6=9)r5c7 =>r5c8<>9, singles.

Update: available after the AUR.
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK

PostPosted: Sun Jun 13, 2010 10:23 am    Post subject: Reply with quote

I decided to stick to the technique guidance on this - so advanced moves only...

Four steps... [Edit] judging from Lukes post (1) and (3) werent needed!

Quote:
x-wing(4) r18c37; r8c5<>4, r1c8<>4
type 4 UR(58) r13c39; r1c39<>5
kite(9) in b1 extended (9)r5c8=r5c7; r8c7<>9
xy-wing(469) r1c7; r2c7<>9, r5c8<>9
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Mogulmeister



Joined: 03 May 2007
Posts: 695

PostPosted: Mon Jun 14, 2010 12:55 pm    Post subject: Reply with quote

I sadly didn't but found a lot of fun with my first "double ALS" takeout. At least I think it is..could be an invalid move....

As usual, a picture is worth a thousand words:

ALS XZ with double elimination



X={2,4,5,8,9} Orange
Z={2,6} Green
Restricted common can be 2 or 6
Common candidate eliminateds are 2 and 6 from r3c8


Then it is the <469> XY wing as already shown.

[Edit to correct typo]


Last edited by Mogulmeister on Mon Jun 14, 2010 3:41 pm; edited 3 times in total
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tlanglet



Joined: 17 Oct 2007
Posts: 2461
Location: Northern California Foothills

PostPosted: Mon Jun 14, 2010 1:40 pm    Post subject: Reply with quote

Very nice MM..........

Ted
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Mogulmeister



Joined: 03 May 2007
Posts: 695

PostPosted: Mon Jun 14, 2010 3:26 pm    Post subject: Reply with quote

tlanglet wrote:
I really enjoyed this puzzle....

1. AUR58 r13c39 with x-wing 8 overlay; r1c39<>5
2. x-wing 4 r18c37; r1c8,r8c5<>4

3. At this point I once again have a step of questionable validity: a Almost XY-loop (AXY-loop)
Code:
*--------------------------------------------------*
 | 7    3   d48   | 9    1    5    | 46   26   28   |
 | 1    6   b59   | 4    8    2    |a79   3    579  |
 | 29   24  c58   | 3    6    7    | 1    49   58   |
 |----------------+----------------+----------------|
 | 4    9    6    | 8    7    1    | 2    5    3    |
 | 8    7    3    | 2    5    4    | 69   69   1    |
 | 5    1    2    | 6    3    9    | 8    7    4    |
 |----------------+----------------+----------------|
 | 3    8    1    | 7    249  6    | 5    249  29   |
 | 6    5   e49   | 1    29   3    |f479  8    279  |
 | 29   24   7    | 5    49   8    | 3    1    6    |
 *--------------------------------------------------*

The AXY-loop is abcdef plus fin (4) in cell f
If the xy-loop is true then r2c9,r8c59<>9
If the fin is true, (4)r8c7 - (4=9)r8c3; r8c59<>9

4. If the above is valid, I finished the puzzle with a BUG+1 which forces r7c8=9

So, let the fun begin; the shooting gallery is open...........

Ted


Looks fine to me. I like it.
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keith



Joined: 19 Sep 2005
Posts: 3173
Location: near Detroit, Michigan, USA

PostPosted: Mon Jun 14, 2010 3:35 pm    Post subject: Reply with quote

Quote:
X={2,4,5,8,9} Orange
Z={2,9} Green
Restricted common can be 2 or 6
Common candiadate eliminateds are 2 and 6 from r3c8

I don't follow this. should it be:
Quote:
Z={2,6} Green


In any event, R2C2 = <26>. In B1, the other <26> can only be in R3C12, making a pseudocell that forms a pair with R3C5. Thus, R3C8 is not 26.

Does this have a name? It seems fairly simple.

Keith
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Mogulmeister



Joined: 03 May 2007
Posts: 695

PostPosted: Mon Jun 14, 2010 3:40 pm    Post subject: Reply with quote

Thanks for picking up the typo Keith. I will amend. As far as I know it is an ALS XZ elimination as set out if memory serves by Myth Jellies.

[Most of the ones I've used/seen hitherto have been single digit eliminations or multiple eliminations of a single digit - this one has two different digits.


Last edited by Mogulmeister on Mon Jun 14, 2010 5:50 pm; edited 2 times in total
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Marty R.



Joined: 12 Feb 2006
Posts: 5160
Location: Rochester, NY, USA

PostPosted: Mon Jun 14, 2010 5:01 pm    Post subject: Reply with quote

I used the implications of the 58 AUR to solve a few cells. After that it became a Type 4 UR on 58 and an XY-Wing (469) finished it off.
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Mogulmeister



Joined: 03 May 2007
Posts: 695

PostPosted: Mon Jun 14, 2010 5:47 pm    Post subject: Reply with quote

Mogulmeister wrote:
Thanks for picking up the typo Keith. I will amend. As far as I know it is an ALS XZ elimination as set out if memory serves by Myth Jellies.


Sadly the original post for this technique at http://www.sudoku.com/forums/viewtopic.php?p=16334 (put there I think in 2006) has been lost due to the well documented problems with that forum.
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ronk



Joined: 07 May 2006
Posts: 397

PostPosted: Mon Jun 14, 2010 6:13 pm    Post subject: Reply with quote

Mogulmeister wrote:
Mogulmeister wrote:
Thanks for picking up the typo Keith. I will amend. As far as I know it is an ALS XZ elimination as set out if memory serves by Myth Jellies.


Sadly the original post for this technique at http://www.sudoku.com/forums/viewtopic.php?p=16334 (put there I think in 2006) has been lost due to the well documented problems with that forum.

After restoration, the link is ... http://forum.enjoysudoku.com/viewtopic.php?p=16334#p16334

BTW it was Bob Hanson, not Myth Jellies, that posted the doubly-linked ALS-xz. bennys introduced us to the original singly-linked ALS-xz.
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Mogulmeister



Joined: 03 May 2007
Posts: 695

PostPosted: Mon Jun 14, 2010 6:41 pm    Post subject: Reply with quote

Excellent and thanks Ronk, I remember reading some time ago but couldn't locate it again. I do remember that Myth was also centrally involved in some way but.........

Last edited by Mogulmeister on Mon Jun 14, 2010 7:10 pm; edited 1 time in total
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