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Puzzle 10/08/02: C

 
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Mon Aug 02, 2010 5:07 am    Post subject: Puzzle 10/08/02: C Reply with quote
Code:
 +-----------------------+
 | 8 . . | . . 4 | 6 . . |
 | . 6 4 | . . . | . . . |
 | . 3 . | 5 . . | . . . |
 |-------+-------+-------|
 | . . 8 | 7 . 6 | 5 . . |
 | . . . | . . 8 | . . 3 |
 | 6 . . | 2 5 1 | . 4 . |
 |-------+-------+-------|
 | 4 . 5 | . . . | . . 2 |
 | . . . | . . . | . 7 . |
 | . . . | . 4 7 | 1 . 5 |
 +-----------------------+

Play this puzzle online at the Daily Sudoku site

Rating wrote:
VH+
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JC Van Hay



Joined: 13 Jun 2010
Posts: 494
Location: Charleroi, Belgium
PostPosted: Mon Aug 02, 2010 9:22 pm    Post subject: Reply with quote
Quote:
4-SIS : (91)R1C9 (15)R1C2 1C4 (159)R2C1 => r2c7<>9
Interpretation at will ! Pigeonhole Matrix, Almost XY-Wing, kraken cell, ...
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Mon Aug 02, 2010 11:07 pm    Post subject: Reply with quote
Code:
 +-----------------------------------------------------------------------+
 |  8      15     129    |  139    7      4      |  6      12359  19     |
 |  159    6      4      |  139    8      239    |  39     12359  7      |
 |  179    3      1279   |  5      6      29     |  89     1289   4      |
 |-----------------------+-----------------------+-----------------------|
 |  2      4      8      |  7      3      6      |  5      19     19     |
 |  157    15     17     |  4      9      8      |  2      6      3      |
 |  6      9      3      |  2      5      1      |  7      4      8      |
 |-----------------------+-----------------------+-----------------------|
 |  4      7      5      |  6      1      39     |  389    389    2      |
 |  139    8      19     |  39     2      5      |  4      7      6      |
 |  39     2      6      |  8      4      7      |  1      39     5      |
 +-----------------------------------------------------------------------+
 # 48 eliminations remain

JC Van Hay wrote:
4-SIS : (91)R1C9 (15)R1C2 1C4 (159)R2C1 => r2c7<>9
Interpretation at will ! Pigeonhole Matrix, Almost XY-Wing, kraken cell, ...

Interpretation: shorthand for a network

Code:
             (1=5)r1c2         - (5)r2c1
           /                             \
(9=1)r1c9 -                               = (9)r2c1  =>  r1c3,r2c78<>9
           \                             /
             (1)r1c4 = (1)r2c4 - (1)r2c1
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peterj



Joined: 26 Mar 2010
Posts: 974
Location: London, UK
PostPosted: Tue Aug 03, 2010 7:55 am    Post subject: Reply with quote
I went the xyz-wing route initially, but having read JCs post, went back to look for a one stepper. This 2SL wing seems enough..

Code:
w-wing(39) (9=3)r2c7 - r1c8=r1c4 - r8c4=r8c1 - (3=9)r9c1 ; r2c1<>9


FWIW the same cells are also pincers of an almost-remote pair with fin (8)r7c7

Code:
remotepair(39)[(39)r2c7=(39)r9c1] = (8)r7c7 - (8=9)r3c8 - (9=2)r3c6 - (2=39)r2c67 ; r2c1<>9
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Mogulmeister



Joined: 03 May 2007
Posts: 1151
PostPosted: Tue Aug 03, 2010 12:40 pm    Post subject: Reply with quote
As you say Danny - Interpretation at will..complete open season so here is...an ALS xz (almost!)

Code:
+-------------------+-------------------+-------------------+
| 8     A15   129   | 139   7     4     | 6     12359 B19   |
| A59+1 6     4     | 139   8     239   | 3-9   12359 7     |
| 179   3     1279  | 5     6     29    | B89   1289  4     |
+-------------------+-------------------+-------------------+
| 2     4     8     | 7     3     6     | 5     19    19    |
| 157   15    17    | 4     9     8     | 2     6     3     |
| 6     9     3     | 2     5     1     | 7     4     8     |
+-------------------+-------------------+-------------------+
| 4     7     5     | 6     1     39    | 389   389   2     |
| 139   8     19    | 39    2     5     | 4     7     6     |
| 39    2     6     | 8     4     7     | 1     39    5     |
+-------------------+-------------------+-------------------+


Set A = {1,5,9}
Set B = {1,8,9}
x = 1 (in r1c29)
z = 9 and so r2c7<>9*

However the 1 in r2c1 stops the restricted common but if it is true

(59=1)r2c1-(1=239)r2c46|r3c6-(39=1)r1c4-(1=9)r1c9; r2c7<>9*


An alternative if you don't like ALS-xz's:

ANP (9=15)r1c2,r2c1-(1)r3c13=r3c8-(1=9)r1c9; r2c7<> 9*

*solving the puzzle Wink
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daj95376



Joined: 23 Aug 2008
Posts: 3854
PostPosted: Tue Aug 03, 2010 3:53 pm    Post subject: Reply with quote
Mogulmeister wrote:
An alternative if you don't like ALS-xz's:

ANP (9=15)r1c2,r2c1-(1)r3c13=r3c8-(1=9)r1c9; r2c7<> 9*

*solving the puzzle Wink

Nice!!!
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Wed Aug 04, 2010 4:17 am    Post subject: Reply with quote
W-Wing (39) + pincer transport
XY-Wing (391)
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