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au tough July 26, 2012

 
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
PostPosted: Thu Jul 26, 2012 5:36 am    Post subject: au tough July 26, 2012 Reply with quote
On a roll!
Code:

 *-----------*
 |...|...|8..|
 |..9|3.6|...|
 |8..|.2.|7.5|
 |---+---+---|
 |..3|...|.2.|
 |4..|...|..3|
 |.8.|...|5..|
 |---+---+---|
 |2.6|.9.|..7|
 |...|7.5|9..|
 |..4|...|...|
 *-----------*
 
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Thu Jul 26, 2012 3:09 pm    Post subject: Reply with quote
Code after basics:
Code:
 *--------------------------------------------------*
 | 36   4    2    | 15   57   17   | 8    369  69   |
 | 5    7    9    | 3    8    6    | 2    14   14   |
 | 8    36   1    | 49   2    49   | 7    36   5    |
 |----------------+----------------+----------------|
 | 9    16   3    | 456  57   47   | 14   2    8    |
 | 4    2    5    | 89   1    89   | 6    7    3    |
 | 16   8    7    | 246  34   234  | 5    149  149  |
 |----------------+----------------+----------------|
 | 2    5    6    | 14   9    134  | 34   8    7    |
 | 13   13   8    | 7    46   5    | 9    46   2    |
 | 7    9    4    | 28   36   28   | 13   5    16   |
 *--------------------------------------------------*


An old standby does the deed.
anp(36=9-3)r1c18=r1c1-(3=1)r8c1-r6c1=r4c2-r4c7=r9c7-(1=6)r9c9; -6r1c9

Another solution is a w-wing(16)r4c2|r9c9 with SL(1)r49c7 plus transport:
(6=1)r9c9-r9c7=r4c7-(1=6)r4c2-r3c2=r3c8; -6r1c9

Ted
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arkietech



Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA
PostPosted: Thu Jul 26, 2012 3:51 pm    Post subject: Reply with quote
Code:
 *--------------------------------------------------*
 | 36   4    2    | 15   57   17   | 8    369  69   |
 | 5    7    9    | 3    8    6    | 2    14   14   |
 | 8    36   1    |*49   2   *49   | 7    36   5    |
 |----------------+----------------+----------------|
 | 9    16   3    | 456  57   47   | 14   2    8    |
 | 4    2    5    |*89   1   *89   | 6    7    3    |
 | 16   8    7    |*24-6 34  *24+3 | 5    149  149  |
 |----------------+----------------+----------------|
 | 2    5    6    | 14   9    134  | 34   8    7    |
 | 13   13   8    | 7    46   5    | 9    46   2    |
 | 7    9    4    |*28   36  *28   | 13   5    16   |
 *--------------------------------------------------*

bug-lite r6c4 must be 6 or r6c6 must be 3
6r6c1=r1c1-r1c9=r9c9-(6=3)r9c5-r6c5=(3-2)r6c6=2r6c4 => -6r6c4 => 3r6c6
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Luke451



Joined: 20 Apr 2008
Posts: 310
Location: Southern Northern California
PostPosted: Thu Jul 26, 2012 4:43 pm    Post subject: Reply with quote
Whilst I was writing this up, I see arkietech has posted the exact same nonsense, er, solution Very Happy

To my convoluted mind, the way the DP stars align in stack 2 suggest a possible (36) w-wing.

Code:
 *--------------------------------------------------*
 | 36   4    2    | 15   57   17   | 8    369  69   |
 | 5    7    9    | 3    8    6    | 2    14   14   |
 | 8    36   1    |*49   2   *49   | 7    36   5    |
 |----------------+----------------+----------------|
 | 9    16   3    | 456  57   47   | 14   2    8    |
 | 4    2    5    |*89   1   *89   | 6    7    3    |
 | 16   8    7    |*24+6 34  *24+3 | 5    149  149  |
 |----------------+----------------+----------------|
 | 2    5    6    | 14   9    134  | 34   8    7    |
 | 13   13   8    | 7    46   5    | 9    46   2    |
 | 7    9    4    |*28  (36) *28   | 13   5    16   |
 *--------------------------------------------------*

(36)w-wing r9c5|r6c46
SL on (6)r4c4=r4c2-r3c2=r3c8-r8c8=r8c5
==>r6c5,r7c6<>3
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Clement



Joined: 24 Apr 2006
Posts: 1111
Location: Dar es Salaam Tanzania
PostPosted: Thu Jul 26, 2012 5:03 pm    Post subject: au tough July 26, 2012 Reply with quote
Two XY-Wings
XY-Wing 46 16 14 pivoted in r9c9; r2c8<>4 opens another
XY-Wing 16 19 69 pivoted in r6c9; r1c1<>6 which solves it.
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Marty R.



Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA
PostPosted: Thu Jul 26, 2012 6:17 pm    Post subject: Reply with quote
arkietech wrote:
Code:
 *--------------------------------------------------*
 | 36   4    2    | 15   57   17   | 8    369  69   |
 | 5    7    9    | 3    8    6    | 2    14   14   |
 | 8    36   1    |*49   2   *49   | 7    36   5    |
 |----------------+----------------+----------------|
 | 9    16   3    | 456  57   47   | 14   2    8    |
 | 4    2    5    |*89   1   *89   | 6    7    3    |
 | 16   8    7    |*24-6 34  *24+3 | 5    149  149  |
 |----------------+----------------+----------------|
 | 2    5    6    | 14   9    134  | 34   8    7    |
 | 13   13   8    | 7    46   5    | 9    46   2    |
 | 7    9    4    |*28   36  *28   | 13   5    16   |
 *--------------------------------------------------*

bug-lite r6c4 must be 6 or r6c6 must be 3
6r6c1=r1c1-r1c9=r9c9-(6=3)r9c5-r6c5=(3-2)r6c6=2r6c4 => -6r6c4 => 3r6c6


I used this, but I can't bring myself to say BUG-Lite, so I call it a potential DP. I tested the 3 and the 6 and found common outcomes of r1c9=9 and r7c7=3. I took a shot at trying to establish pincers from the 3 and 6 but didn't stumble across anything.
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tlanglet



Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills
PostPosted: Thu Jul 26, 2012 6:52 pm    Post subject: Reply with quote
The BUG-Lite was great. Only sorry that I missed it! Sad

Ted
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