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Puzzle 11/08/01: ~ XY

 
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daj95376



Joined: 23 Aug 2008
Posts: 3855

PostPosted: Mon Aug 01, 2011 6:04 pm    Post subject: Puzzle 11/08/01: ~ XY Reply with quote

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

Play this puzzle online at the Daily Sudoku site
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tlanglet



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

PostPosted: Mon Aug 01, 2011 8:07 pm    Post subject: Reply with quote

Code:

 *-----------------------------------------------------------*
 | 2359  6     239   | 45    7     1     | 39    8     234   |
 | 4     13    123   | 9     8     23    | 6     5     7     |
 | 2359  8     7     | 45    6     23    | 139   123   234   |
 |-------------------+-------------------+-------------------|
 | 39    49    1349  | 2     5     6     | 7     13    8     |
 | 7     12    5     | 3     9     8     | 12    4     6     |
 | 8     23    6     | 1     4     7     | 23    9     5     |
 |-------------------+-------------------+-------------------|
 | 1     49    8     | 7     23    49    | 5     6     23    |
 | 6     7     23    | 8     1     5     | 4     23    9     |
 | 239   5     2349  | 6     23    49    | 8     7     1     |
 *-----------------------------------------------------------*

Code:
(3=2)r7c9-r8c8=r8c3-(2=39)r94c1-(39=25)r13c1-(2=39)r1c37; r1c9<>3
                                            \
                                             \ - (2=13)r2c32-(3)r2c6=r3c6; r3c9<>3

Coloring (3) completes the puzzle.

Ted
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ronk



Joined: 07 May 2006
Posts: 397

PostPosted: Mon Aug 01, 2011 8:29 pm    Post subject: Reply with quote

Code:

 *-----------------------------------------------------------*
 | 235-9 6     9-23  | 45    7     1     | 39    8     234   |
 | 4     13   @123   | 9     8     23    | 6     5     7     |
 | 235-9 8     7     | 45    6     23    | 139   123   234   |
 |-------------------+-------------------+-------------------|
 |#39   *49   *49+13 | 2     5     6     | 7     13    8     |
 | 7     12    5     | 3     9     8     | 12    4     6     |
 | 8     23    6     | 1     4     7     | 23    9     5     |
 |-------------------+-------------------+-------------------|
 | 1    *49    8     | 7     23   *49    | 5     6     23    |
 | 6     7    @23    | 8     1     5     | 4     23    9     |
 |#239   5    *49+23 | 6     23   *49    | 8     7     1     |
 *-----------------------------------------------------------*

BUG-Lite+2(49): external sis (9)r4c1=(9)r9c1 ==> r13c1<>9; ste

Alternatively, similar to a UR Type 3: qnt(123)r2489c3 ==> r1c3<>23
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tlanglet



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

PostPosted: Tue Aug 02, 2011 3:23 am    Post subject: Reply with quote

Ron,

I liked the DP move; wish I had gotten that far in looking around prior to finding the funny AIC. However, I have been calling your pattern a 6-cell aur. So, I guess I need the formal definition of a BUG-Lite.

Also, I (and possibily others on this forum) am not familiar with the concept of quantum as you used in your alternative solution and am not able to understand your deletion. Please provide some references to this concept.

Thanks as always.....
Ted
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peterj



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

PostPosted: Tue Aug 02, 2011 7:24 am    Post subject: Reply with quote

ron, nice one!

Ted, let's face it the naming of DP moves is a mess! That being said I don't see how you could call this pattern an "AUR" - assuming the "R" stands for "rectangle"!

To my mind any DP that is made of bivalues is a BUG-Lite (BUG whole grid); MUG if multi-value (Ed. Should be MUG-Lite for consistency?). So a UR is a special case of a BUG-Lite.

And I have read Danny, I think, at length discussing the "A" in "AUR"!

We should get ANSII or ETSI onto this nomeclature stuff...
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ronk



Joined: 07 May 2006
Posts: 397

PostPosted: Wed Aug 03, 2011 12:17 pm    Post subject: Reply with quote

tlanglet wrote:
I liked the DP move [...] However, I have been calling your pattern a 6-cell aur. So, I guess I need the formal definition of a BUG-Lite.

I suspect you're aware of sudopedia's BUG-Lite page which contains a link to Myth Jellies' seminal thread Between Uniqueness and BUG: BUG Lite. I don't see any BUG-Lite examples there which use only two-digit values, so I understand how you might reach that POV. However, such two-digit examples are shown on RW's Layered Bug-lite thread. Besides, as peterj wrote, a 6-cell pattern is not a rectangle.

tlanglet wrote:
Also, I (and possibily others on this forum) am not familiar with the concept of quantum as you used in your alternative solution and am not able to understand your deletion. Please provide some references to this concept.

There's nothing difficult or mysterious here. 'Quantum' simply refers to two or more cells behaving as one. This occurs with every UR Type 3 and the principle can be extended to any other uniqueness pattern. Above, in the qnt(123)r2489c3 above, there are four cells involved in the triple ... with the two-cell r49c3 of the uniqueness pattern behaving like one. Just think of (123)r49c3 as one cell.

The 'quantum' term, as applied to the UR Type 3, was first coined by MadOverlord ( http://forum.enjoysudoku.com/post12309.html#p12309 ). It has been used infrequently since and perhaps mostly by me. Unfortunately, most of those usages were lost with the disk crash on the Players' Forums.
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tlanglet



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

PostPosted: Wed Aug 03, 2011 1:32 pm    Post subject: Reply with quote

Peter & Ron, thanks for the feedback.

Obviously, a 6-cell pattern is not a rectangle; I seemed to have forgotten what UR means. On the other hand, I have always assumed that BUG-Lite did not include bivalues. I hate terminology Evil or Very Mad

I am familiar with the two cell "pseudocell" terminology as used in this forum. So a "quantum cell" is the same idea for more than two cells. As stated, no mystery.

Ted
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ronk



Joined: 07 May 2006
Posts: 397

PostPosted: Wed Aug 03, 2011 2:03 pm    Post subject: Reply with quote

tlanglet wrote:
I am familiar with the two cell "pseudocell" terminology as used in this forum. So a "quantum cell" is the same idea for more than two cells.

Well, not the same IMO. All quantum cells are pseudocells, but all pseudocells are not quantum cells. Quantum cells are always (AFAIK) associated with uniqueness patterns.
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Marty R.



Joined: 12 Feb 2006
Posts: 5166
Location: Rochester, NY, USA

PostPosted: Wed Aug 03, 2011 3:42 pm    Post subject: Reply with quote

W-Wing (39), SL 3 in r6; r1c1<>9 + transport; r9c1<>9
Coloring; r4c1<>3
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