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AU Tough September 17, 2012

 
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arkietech



Joined: 31 Jul 2008
Posts: 1728
Location: Northwest Arkansas USA

PostPosted: Tue Sep 18, 2012 5:30 am    Post subject: AU Tough September 17, 2012 Reply with quote

Code:

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


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SudoQ



Joined: 02 Aug 2011
Posts: 127

PostPosted: Tue Sep 18, 2012 1:10 pm    Post subject: Reply with quote

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
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arkietech



Joined: 31 Jul 2008
Posts: 1728
Location: Northwest Arkansas USA

PostPosted: Tue Sep 18, 2012 2:17 pm    Post subject: Reply with quote

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


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SudoQ



Joined: 02 Aug 2011
Posts: 127

PostPosted: Tue Sep 18, 2012 3:15 pm    Post subject: Reply with quote

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
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arkietech



Joined: 31 Jul 2008
Posts: 1728
Location: Northwest Arkansas USA

PostPosted: Tue Sep 18, 2012 3:35 pm    Post subject: Reply with quote

SudoQ wrote:
A pure bi-value chain:

Very Happy and these puzzles are supposed to be tough.
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SudoQ



Joined: 02 Aug 2011
Posts: 127

PostPosted: Tue Sep 18, 2012 3:38 pm    Post subject: Reply with quote

Hi,

can I include a picture, without a http address?

/SudoQ
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Marty R.



Joined: 12 Feb 2006
Posts: 5166
Location: Rochester, NY, USA

PostPosted: Tue Sep 18, 2012 7:12 pm    Post subject: Reply with quote

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   |
+----------+--------+--------------+

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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.
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SudoQ



Joined: 02 Aug 2011
Posts: 127

PostPosted: Wed Sep 19, 2012 3:08 am    Post subject: Reply with quote

The HoDoKu XY-Chain:

/SudoQ
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