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AU Tough September 11, 2012

 
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arkietech



Joined: 31 Jul 2008
Posts: 1727
Location: Northwest Arkansas USA

PostPosted: Wed Sep 12, 2012 5:46 am    Post subject: AU Tough September 11, 2012 Reply with quote

Code:

 *-----------*
 |1..|...|5..|
 |2..|.45|...|
 |.5.|3..|..6|
 |---+---+---|
 |.4.|...|.9.|
 |...|7.2|...|
 |.1.|...|.8.|
 |---+---+---|
 |7..|..9|.3.|
 |...|86.|..4|
 |..6|...|..2|
 *-----------*
 


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tlanglet



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

PostPosted: Wed Sep 12, 2012 6:33 pm    Post subject: Reply with quote

It seems that we are all late playing sudoku today.

Code after basics:
Code:
*--------------------------------------------------*
 | 1    6    3    | 29   27   78   | 5    4    89   |
 | 2    7    89   | 6    4    5    | 3    1    89   |
 | 489  5    489  | 3    89   1    | 7    2    6    |
 |----------------+----------------+----------------|
 | 36   4    2    | 5    38   68   | 1    9    7    |
 | 89   39   589  | 7    1    2    | 4    6    35   |
 | 356  1    7    | 49   39   46   | 2    8    35   |
 |----------------+----------------+----------------|
 | 7    8    45   | 24   25   9    | 6    3    1    |
 | 35   2    1    | 8    6    37   | 9    57   4    |
 | 49   39   6    | 1    57   34   | 8    57   2    |
 *--------------------------------------------------*

I noticed a couple of solutions but my post is a favorite technique........

ANP(35=6)r68c1-(6=4)r6c6-(4=3)r9c6-r9c2=r8c1-r46c1=r4c5; -3r6c5

Ted
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arkietech



Joined: 31 Jul 2008
Posts: 1727
Location: Northwest Arkansas USA

PostPosted: Wed Sep 12, 2012 6:53 pm    Post subject: Reply with quote

Code:
 
 *--------------------------------------------------*
 | 1    6    3    | 29   27   78   | 5    4    89   |
 | 2    7    89   | 6    4    5    | 3    1    89   |
 | 489  5    489  | 3    89   1    | 7    2    6    |
 |----------------+----------------+----------------|
 |c36   4    2    | 5    38   8-6  | 1    9    7    |
 | 89  c39   589  | 7    1    2    | 4    6    35   |
 | 35-6 1    7    | 49   39  a46   | 2    8    35   |
 |----------------+----------------+----------------|
 | 7    8    45   | 24   25   9    | 6    3    1    |
 | 35   2    1    | 8    6    37   | 9    57   4    |
 | 49  b39   6    | 1    57  b34   | 8    57   2    |
 *--------------------------------------------------*
wing
(6=4)r6c6-(4=39)r9c26-(9=36)r4c1,r5c2 => -6r4c6,r6c; stte

r4c1 and r6c6 form a wing (pinchers; one of the cells must be a 6)



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Marty R.



Joined: 12 Feb 2006
Posts: 5162
Location: Rochester, NY, USA

PostPosted: Wed Sep 12, 2012 8:11 pm    Post subject: Reply with quote

Code:
+-------------+------------+----------+
|  1   6  3   | 29  27  78 | 5  4  89 |
|  2   7  89  | 6   4   5  | 3  1  89 |
|  489 5  489 | 3   89  1  | 7  2  6  |
+-------------+------------+----------+
| -36  4  2   | 5  G38 F68 | 1  9  7  |
|  89  39 589 | 7   1   2  | 4  6  35 |
|  356 1  7   | 49  39 E46 | 2  8  35 |
+-------------+------------+----------+
|  7   8  45  | 24  25  9  | 6  3  1  |
| A35  2  1   | 8   6  C37 | 9 B57 4  |
|  49  39 6   | 1   57 D34 | 8  57 2  |
+-------------+------------+----------+ 


I thought I could find a non-chain solution in there, but couldn't, so I used a 7-cell chain.

A=5-->G=3 via ABCDEFG; r4c1<>3.
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Marty R.



Joined: 12 Feb 2006
Posts: 5162
Location: Rochester, NY, USA

PostPosted: Wed Sep 12, 2012 9:30 pm    Post subject: Reply with quote

Quote:
wing
(6=4)r6c6-(4=39)r9c26-(9=36)r4c1,r5c2 => -6r4c6,r6c; stte

r4c1 and r6c6 form a wing (pinchers; one of the cells must be a 6)


Dan,

Help me out with terminology here. What makes this a wing as opposed to an XY-Chain?
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Luke451



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

PostPosted: Thu Sep 13, 2012 1:04 am    Post subject: Reply with quote

tlanglet wrote:
It seems that we are all late playing sudoku today.

Code after basics:
Code:
*--------------------------------------------------*
 | 1    6    3    | 29   27   78   | 5    4    89   |
 | 2    7    89   | 6    4    5    | 3    1    89   |
 | 489  5    489  | 3    89   1    | 7    2    6    |
 |----------------+----------------+----------------|
 | 36   4    2    | 5    38   68   | 1    9    7    |
 | 89   39   589  | 7    1    2    | 4    6    35   |
 | 356  1    7    | 49   39   46   | 2    8    35   |
 |----------------+----------------+----------------|
 | 7    8    45   | 24   25   9    | 6    3    1    |
 | 35   2    1    | 8    6    37   | 9    57   4    |
 | 49   39   6    | 1    57   34   | 8    57   2    |
 *--------------------------------------------------*

I noticed a couple of solutions but my post is a favorite technique........

ANP(35=6)r68c1-(6=4)r6c6-(4=3)r9c6-r9c2=r8c1-r46c1=r4c5; -3r6c5

Ted
Hey, buddy, how you been

One strong link too many? You've proven r4c1<>3 after r8c1=3.
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arkietech



Joined: 31 Jul 2008
Posts: 1727
Location: Northwest Arkansas USA

PostPosted: Thu Sep 13, 2012 1:23 am    Post subject: Reply with quote

Marty R. wrote:
Quote:
wing
(6=4)r6c6-(4=39)r9c26-(9=36)r4c1,r5c2 => -6r4c6,r6c; stte

r4c1 and r6c6 form a wing (pinchers; one of the cells must be a 6)


Dan,

Help me out with terminology here. What makes this a wing as opposed to an XY-Chain?


I could be expressed as an xy-chain but I don't like chains. Very Happy

an xy-wing is a xy-chain length 3 but we express it as a wing. Confused

To me a wing is composed of 3 strong links in an AIC but there are others that know more about it than me. Help would be appreciated.
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tlanglet



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

PostPosted: Thu Sep 13, 2012 2:26 am    Post subject: Reply with quote

Luke451 wrote:
tlanglet wrote:
It seems that we are all late playing sudoku today.

Code after basics:
Code:
*--------------------------------------------------*
 | 1    6    3    | 29   27   78   | 5    4    89   |
 | 2    7    89   | 6    4    5    | 3    1    89   |
 | 489  5    489  | 3    89   1    | 7    2    6    |
 |----------------+----------------+----------------|
 | 36   4    2    | 5    38   68   | 1    9    7    |
 | 89   39   589  | 7    1    2    | 4    6    35   |
 | 356  1    7    | 49   39   46   | 2    8    35   |
 |----------------+----------------+----------------|
 | 7    8    45   | 24   25   9    | 6    3    1    |
 | 35   2    1    | 8    6    37   | 9    57   4    |
 | 49   39   6    | 1    57   34   | 8    57   2    |
 *--------------------------------------------------*

I noticed a couple of solutions but my post is a favorite technique........

ANP(35=6)r68c1-(6=4)r6c6-(4=3)r9c6-r9c2=r8c1-r46c1=r4c5; -3r6c5

Ted
Hey, buddy, how you been

One strong link too many? You've proven r4c1<>3 after r8c1=3.

Well, I thought I was doing reasonably well until you pointed out the mess I made of my post, which I royally screwed up. Embarassed

I had been looking at three combinations of anp()s all using(356)r6c1: anp(36=5)r46c1, anp(35=6)r6c19 & (35=6)r68c1. I missed a mental gear shift with I prepared my post and combined different logic or whatever. A better statement would not include the extra strong link or, as an alternative,

anp(35=6)r68c1-(6=4)r6c6-(4=3)r9c6-r9c2=r5c2; -3r4c1

Ted
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