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au 3/19 tough

 
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
PostPosted: Mon Mar 19, 2012 7:33 am    Post subject: au 3/19 tough Reply with quote
Code:
 *-----------*
 |...|.14|...|
 |7.8|6..|...|
 |.52|...|...|
 |---+---+---|
 |...|..6|.4.|
 |92.|.5.|.61|
 |.7.|3..|...|
 |---+---+---|
 |...|...|39.|
 |...|..3|2.4|
 |...|78.|...|
 *-----------*
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Mon Mar 19, 2012 7:10 pm    Post subject: Reply with quote
A solution that you (thankfully!!!) won't see every day.

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

 r1  b1  Locked Triple                   <> 369  r1c4789,r2c2,r3c1
 r4  b4  Locked Triple                   <> 158  r4c47,r6c13
 r9  b9  Locked Triple                   <> 156  r7c9,r8c8,r9c1236

   c7    Naked  Pair                     <> 58   r239c7
 r1      Naked  Pair                     <> 58   r1c89
 r2      Naked  Pair                     <> 59   r2c7

   c3    Naked  Triple                   <> 469  r78c3

Code:
 after basics
 +-----------------------------------------------------------------------+
 |  36     369    69     |  58     1      4      |  58     27     27     |
 |  7      14     8      |  6      2      59     |  14     3      59     |
 |  14     5      2      |  89     3      7      |  146    18     689    |
 |-----------------------+-----------------------+-----------------------|
 |  158    18     15     |  2      7      6      |  9      4      3      |
 |  9      2      3      |  4      5      8      |  7      6      1      |
 |  46     7      46     |  3      9      1      |  58     258    258    |
 |-----------------------+-----------------------+-----------------------|
 |  12568  168    157    |  15     4      25     |  3      9      78     |
 |  158    189    157    | #15-9   6      3      |  2      78     4      |
 |  234    349    49     |  7      8      29     |  16     15     56     |
 +-----------------------------------------------------------------------+
 # 59 eliminations remain

There is a potential for 120 template combinations for <1> and <5>.

Code:
Value Templates
  1  =    12
  2  =     4
  3  =     2
  4  =     3
  5  =    10
  6  =     6
  7  =     2
  8  =     8
  9  =     3

However, there are only 22 combinations that don't involve conflicting intersections between templates. Of those, four combinations result in a UR-type DP (*).

Code:
...51.....1......5.5.....1.1.5..........5...1.....15.....1.5...5.1............15.
...51.....1......5.5.....1.5.1..........5...1.....15.....1.5...1.5............15.
                           * *                                 * *

....1.5.......51..15.......51...........5...1.....1.5...15.......51............15
....1.5.......51..15.......51...........5...1.....1.5...51.......15............15
                                                        **       **

That leaves 18 combinations, and they have either a <1> or a <5> in r8c4.

Code:
....1.5...1...5....5....1..1.5..........5...1.....1.5...15.....5..1............15
....1.5...1...5....5....1..1.5..........5...1.....1.5.5..1.......15............15
....1.5...1...5....5....1..5.1..........5...1.....1.5.1..5.......51............15
....1.5...1...5....5....1..5.1..........5...1.....1.5...51.....1..5............15
...51.....1......5.5.....1.1.5..........5...1.....15....1..5...5..1...........15.
....1.5...1...5....5.....1.1.5..........5...1.....1.5...15.....5..1...........1.5
....1.5...1...5....5.....1.1.5..........5...1.....1..5..15.....5..1...........15.
....1.5...1...5....5.....1.1.5..........5...1.....1.5.5..1.......15...........1.5
....1.5...1...5....5.....1.1.5..........5...1.....1..55..1.......15...........15.
...51.....1......5.5.....1.5.1..........5...1.....15..1....5.....51...........15.
....1.5...1...5....5.....1.5.1..........5...1.....1.5.1..5.......51...........1.5
....1.5...1...5....5.....1.5.1..........5...1.....1..51..5.......51...........15.
....1.5...1...5....5.....1.5.1..........5...1.....1.5...51.....1..5...........1.5
....1.5...1...5....5.....1.5.1..........5...1.....1..5..51.....1..5...........15.
....1.5.......51..15........15..........5...1.....1.5...15.....5..1............15
....1.5.......51..15........15..........5...1.....1.5.5..1.......15............15
....1.5.......51..15.......5.1..........5...1.....1.5..1.5.......51............15
....1.5.......51..15.......5.1..........5...1.....1.5...51......1.5............15
                                                                  # = r8c4

 <15>   <>9  r8c4

In particular, there are only two template combinations possible for <1> and <5> when r8c4=9.
(Z represents a clue/given cell for <1> or <5>.)

Code:
 +--------------------------+
 |  .  .  . | 5 Z . | . . . |
 |  .  1  . | . . . | . . 5 |
 |  .  Z  . | . . . | . 1 . |
 |----------+-------+-------|
 | *1  . *5 | . . . | . . . |
 |  .  .  . | . Z . | . . Z |
 |  .  .  . | . . 1 | 5 . . |
 |----------+-------+-------|
 |  .  .  . | 1 . 5 | . . . |
 | *5  . *1 | 9 . . | . . . |
 |  .  .  . | . . . | 1 5 . |
 +--------------------------+

 +--------------------------+
 |  .  .  . | 5 Z . | . . . |
 |  .  1  . | . . . | . . 5 |
 |  .  Z  . | . . . | . 1 . |
 |----------+-------+-------|
 | *5  . *1 | . . . | . . . |
 |  .  .  . | . Z . | . . Z |
 |  .  .  . | . . 1 | 5 . . |
 |----------+-------+-------|
 |  .  .  . | 1 . 5 | . . . |
 | *1  . *5 | 9 . . | . . . |
 |  .  .  . | . . . | 1 5 . |
 +--------------------------+
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Mon Mar 19, 2012 7:39 pm    Post subject: Reply with quote
I managed to solve it with an AIC, W-Wing, XY-Chain and another AIC.
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JC Van Hay



Joined: 13 Jun 2010
Posts: 494
Location: Charleroi, Belgium
PostPosted: Mon Mar 19, 2012 8:01 pm    Post subject: Reply with quote
daj95376 wrote:
A solution that you (thankfully!!!) won't see every day.

Shocked I can't help ... Laughing Laughing Laughing ... Nevertheless, I noted the strangeness of the sd grids while solving this puzzle!

Fortunately, there is an interpretation : a simplified version of Chris's solution on the Au site :

(9=18)r48c2-1r2c2=1r3c1-(1=89)r3c48 => -9r8c4

Thanks, Danny, for the good time !

Best Regards, JC.
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK
PostPosted: Mon Mar 19, 2012 8:50 pm    Post subject: Reply with quote
Or just an h-wing...

h-wing (4=9)r9c3-r1c3=(9-3)r1c2=r9c2 ; r9c2<>4
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
PostPosted: Mon Mar 19, 2012 9:23 pm    Post subject: Reply with quote
A new wing for me Very Happy
From my notes:
"JC's wing: 3-SIS using bivalue(XY), bilocation(Y), and bilocation(Z)."
Code:
*--------------------------------------------------------------------*
 | 36    c369   b69     | 58     1      4      | 58     27     27     |
 | 7      14     8      | 6      2      59     | 14     3      59     |
 | 14     5      2      | 89     3      7      | 146    18     689    |
 |----------------------+----------------------+----------------------|
 | 158    18     15     | 2      7      6      | 9      4      3      |
 | 9      2      3      | 4      5      8      | 7      6      1      |
 | 46     7      46     | 3      9      1      | 58     258    258    |
 |----------------------+----------------------+----------------------|
 | 12568  168    157    | 15     4      25     | 3      9      78     |
 | 158    189    157    | 159    6      3      | 2      78     4      |
 | 234   d39-4  a49     | 7      8      29     | 16     15     56     |
 *--------------------------------------------------------------------*
JC's wing

(4=9)r9c3-r1c3=(9-3)r1c2=(3)r9c2 => r9c2<>4
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SudoQ



Joined: 02 Aug 2011
Posts: 127
PostPosted: Mon Mar 19, 2012 10:20 pm    Post subject: Reply with quote
Another solution in the same neighborhood:
Code:
r9c3=9 -> r89c2<>9 -> r1c2<>3(=9) -> (r9c2=3)
    =4 ->                         => r9c2<>4

I don't know what type of wing this is...

/SudoQ
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oaxen



Joined: 10 Jul 2006
Posts: 96
PostPosted: Tue Mar 20, 2012 8:17 am    Post subject: Reply with quote
After that Danny stopped construct puzzles I use this forum to collect my morning entertainment. Sometimes the contributors of puzzles here publish them in a format which makes it possible to copy and paste them in the dailysudoko.com page. Sometimes not. Or are there other tricks to transform them to printeable pages?
Lars
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Tue Mar 20, 2012 3:47 pm    Post subject: Reply with quote
oaxen wrote:
After that Danny stopped construct puzzles I use this forum to collect my morning entertainment. Sometimes the contributors of puzzles here publish them in a format which makes it possible to copy and paste them in the dailysudoko.com page. Sometimes not. Or are there other tricks to transform them to printeable pages?
Lars


Ideally, puzzles published here are done through Draw/Play so there's a link that goes directly to that format where you can click Print and proceed from there.

Puzzles without a link can be copied and pasted into Nataraj's format tool (use the 2nd version). That discussion can be found at:

http://www.dailysudoku.co.uk/sudoku/forums/viewtopic.php?t=2888
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
PostPosted: Tue Mar 20, 2012 4:29 pm    Post subject: Reply with quote
Marty R. wrote:
Puzzles without a link can be copied and pasted into Nataraj's format tool

I am trying it out for this puzzle. Hope it works Shocked
Code:
 *--------------------------------------------------------------------*
 | 36    c369   b69     | 58     1      4      | 58     27     27     |
 | 7      14     8      | 6      2      59     | 14     3      59     |
 | 14     5      2      | 89     3      7      | 146    18     689    |
 |----------------------+----------------------+----------------------|
 | 158    18     15     | 2      7      6      | 9      4      3      |
 | 9      2      3      | 4      5      8      | 7      6      1      |
 | 46     7      46     | 3      9      1      | 58     258    258    |
 |----------------------+----------------------+----------------------|
 | 12568  168    157    | 15     4      25     | 3      9      78     |
 | 158    189    157    | 159    6      3      | 2      78     4      |
 | 234   d39-4  a49     | 7      8      29     | 16     15     56     |
 *--------------------------------------------------------------------*

Play online with pencil marks
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Tue Mar 20, 2012 5:45 pm    Post subject: Reply with quote
Dan, it works and drops extraneous characters.

Code:

+---------------+----------+-------------+
| 36    369 69  | 58  1 4  | 58  27  27  |
| 7     14  8   | 6   2 59 | 14  3   59  |
| 14    5   2   | 89  3 7  | 146 18  689 |
+---------------+----------+-------------+
| 158   18  15  | 2   7 6  | 9   4   3   |
| 9     2   3   | 4   5 8  | 7   6   1   |
| 46    7   46  | 3   9 1  | 58  258 258 |
+---------------+----------+-------------+
| 12568 168 157 | 15  4 25 | 3   9   78  |
| 158   189 157 | 159 6 3  | 2   78  4   |
| 234   349 49  | 7   8 29 | 16  15  56  |
+---------------+----------+-------------+

Play this puzzle online at the Daily Sudoku site
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