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AU Tough September 11, 2012

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arkietech

Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

Posted: Wed Sep 12, 2012 5:46 am Post subject: AU Tough September 11, 2012

Code:

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

Play/Print this puzzle online

tlanglet

Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

Posted: Wed Sep 12, 2012 6:33 pm Post subject:

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

arkietech

Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

Posted: Wed Sep 12, 2012 6:53 pm Post subject:

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: 5770
Location: Rochester, NY, USA

Posted: Wed Sep 12, 2012 8:11 pm Post subject:

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.

Marty R.

Joined: 12 Feb 2006
Posts: 5770
Location: Rochester, NY, USA

Posted: Wed Sep 12, 2012 9:30 pm Post subject:

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?

Luke451

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

Posted: Thu Sep 13, 2012 1:04 am Post subject:

tlanglet wrote:

It seems that we are all late playing sudoku today.

Code after basics:

Code:

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.

arkietech

Joined: 31 Jul 2008
Posts: 1834
Location: Northwest Arkansas USA

Posted: Thu Sep 13, 2012 1:23 am Post subject:

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.

tlanglet

Joined: 17 Oct 2007
Posts: 2468
Location: Northern California Foothills

Posted: Thu Sep 13, 2012 2:26 am Post subject:

Luke451 wrote:

tlanglet wrote:

It seems that we are all late playing sudoku today.

Code after basics:

Code:

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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