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AU Tough September 17, 2012

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arkietech

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

Posted: Tue Sep 18, 2012 5:30 am Post subject: AU Tough September 17, 2012

Code:

*-----------*
|8..|2..|9..|
|.74|3..|...|
|...|.4.|...|
|---+---+---|
|76.|...|.3.|
|...|7.8|...|
|.9.|...|.51|
|---+---+---|
|...|.5.|...|
|...|..1|86.|
|..1|..2|..7|
*-----------*

Play/Print this puzzle online

SudoQ

Joined: 02 Aug 2011
Posts: 127

Posted: Tue Sep 18, 2012 1:10 pm Post subject:

If you let the HoDoKu program solve this puzzle, you get the following one-stepper:

Code:

XY-Chain: 2 2- r2c8 -1- r2c1 -2- r8c1 -5- r8c9 -3- r3c9 -2- r7c9 -9- r7c4 -8- r7c2 -4- r5c2 -1- r3c2 -2 => r2c1,r3c79<>2

If you look closer, you will find a simpler, embedded solution!
One may wonder why this one was ignored..

/SudoQ

arkietech

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

Posted: Tue Sep 18, 2012 2:17 pm Post subject:

eager to see what you found.

Code:

*-----------------------------------------------------------*
| 8 5 3 | 2 1 6 | 9 7 4 |
| 12 7 4 | 3 8 9 | 56 12 56 |
| 9 12 6 | 5 4 7 | 12-3 8 a23 |
|-------------------+-------------------+-------------------|
| 7 6 2 | 1 9 5 | 4 3 8 |
| 14 14 5 | 7 3 8 | 26 29 269 |
| 3 9 8 | 6 2 4 | 7 5 1 |
|-------------------+-------------------+-------------------|
| 6 48 7 | 89 5 3 | 12 1249 b29 |
| 25 23 9 | 4 7 1 | 8 6 35 |
|c45 348 1 | 89 6 2 |c35 c49 7 |
*-----------------------------------------------------------*
Wing
(3=2)r3c9-(2=9)r7c9-(9=453)r9c178 => -3r3c7; stte

Play/Print this puzzle online

SudoQ

Joined: 02 Aug 2011
Posts: 127

Posted: Tue Sep 18, 2012 3:15 pm Post subject:

A pure bi-value chain:

Code:

|------------|----------|----------------|
| 8 5 3 | 2 1 6 | 9 7 4 |
| 12 7 4 | 3 8 9 | 56 12 56 |
| 9 (12) 6 | 5 4 7 | 123 8 3-2 |
|------------|----------|----------------|
| 7 6 2 | 1 9 5 | 4 3 8 |
| 14 (14) 5 | 7 3 8 | 26 29 269 |
| 3 9 8 | 6 2 4 | 7 5 1 |
|------------|----------|----------------|
| 6 (48) 7 |(89) 5 3 | 12 1249 (29) |
| 25 23 9 | 4 7 1 | 8 6 35 |
| 45 348 1 | 89 6 2 | 35 49 7 |
|------------|----------|----------------|

As your solution Very Happy

/SudoQ

arkietech

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

Posted: Tue Sep 18, 2012 3:35 pm Post subject:

SudoQ wrote:

A pure bi-value chain:

and these puzzles are supposed to be tough.

SudoQ

Joined: 02 Aug 2011
Posts: 127

Posted: Tue Sep 18, 2012 3:38 pm Post subject:

Hi, can I include a picture, without a http address? /SudoQ

Marty R.

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

Posted: Tue Sep 18, 2012 7:12 pm Post subject:

Code:

+----------+--------+--------------+
| 8 5 3 | 2 1 6 | 9 7 4 |
| 12 7 4 | 3 8 9 | 56 12 56 |
| 9 12 6 | 5 4 7 | 123 8 23 |
+----------+--------+--------------+
| 7 6 2 | 1 9 5 | 4 3 8 |
| 14 14 5 | 7 3 8 | 26 29 269 |
| 3 9 8 | 6 2 4 | 7 5 1 |
+----------+--------+--------------+
| 6 48 7 | 89 5 3 | 12 1249 29 |
| 25 23 9 | 4 7 1 | 8 6 35 |
| 45 348 1 | 89 6 2 | 35 49 7 |
+----------+--------+--------------+

Play this puzzle online at the Daily Sudoku site

Potential DP 48-89-49 in boxes 789. Either r7c8=12 or r9c2=3. The 3 proves r5c8=9 and in r7c8 the 12 pseudo cell is part of a 12 pair that sets r5c8<>2=9; r5c8=9.

SudoQ

Joined: 02 Aug 2011
Posts: 127

Posted: Wed Sep 19, 2012 3:08 am Post subject:

The HoDoKu XY-Chain: /SudoQ

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