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HoDoKu puzzle (1)

 
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SudoQ



Joined: 02 Aug 2011
Posts: 127

PostPosted: Wed Mar 14, 2012 5:19 pm    Post subject: HoDoKu puzzle (1) Reply with quote

Since there are few puzzles coming in at the moment, I send this one:
86.5...1..9..6..574.....6.....71.....41...78.....86.....6.....558..9..7..1...3.92

The conditions are as follows:
The puzzle is created with the program HoDoKu, level 'Hard'.
HoDoKu's own solver uses 7 steps.
There is a relatively short network solution (5 nodes).
Presumably there are also nice logical pattern solutions...

After basics:
Code:
|------------|---------------|----------------|
| 8   6   7  | 5    234  24  | 2349  1    349 |
| 1   9   23 | 234  6    8   | 234   5    7   |
| 4   23  5  | 19   7    19  | 6     23   8   |
|------------|---------------|----------------|
| 23  5   8  | 7    1    49  | 2349  6    349 |
| 6   4   1  | 239  23   5   | 7     8    39  |
| 23  7   9  | 34   8    6   | 5     234  1   |
|------------|---------------|----------------|
| 9   23  6  | 8    24   7   | 1     34   5   |
| 5   8   23 | 124  9    124 | 34    7    6   |
| 7   1   4  | 6    5    3   | 8     9    2   |
|------------|---------------|----------------|

/SudoQ
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JC Van Hay



Joined: 13 Jun 2010
Posts: 494
Location: Charleroi, Belgium

PostPosted: Wed Mar 14, 2012 6:48 pm    Post subject: Reply with quote

M Wing : (3=4)r7c8-4r7c5=(4-3)r1c5=3r1c79 => -3r3c8; stte
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Marty R.



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

PostPosted: Wed Mar 14, 2012 7:01 pm    Post subject: Reply with quote

Nice move JC. I needed four moves.

X-Wing r26; r6c8<>3
Skyscraper r26; r4c7<>4
XYZ-Wing (349) b6; r4c7<>9
XY-Wing (243), pivot r6c8, flightless with transport; r2c4<>3
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SudoQ



Joined: 02 Aug 2011
Posts: 127

PostPosted: Wed Mar 14, 2012 9:50 pm    Post subject: Reply with quote

Marty R. wrote:
I needed four moves.

Yet, you beat the automatic solvers. Very Happy
The program XSUDO uses twice as many steps!

Two String Kite,Grouped. r1c7<>4
Turbot Fish. r4c7<>4
Turbot Fish. r8c4<>4
Turbot Fish. r1c6<>4
X-Wing, Rows r37/c28. r6c8<>3
ALS-XZ Rule. r4c9<>3
Turbot Fish. r1c7<>3
XY-Wing. r4c9<>4

/SudoQ
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SudoQ



Joined: 02 Aug 2011
Posts: 127

PostPosted: Wed Mar 14, 2012 10:30 pm    Post subject: Reply with quote

If you like tri cell solutions..
you can show that r2c4<>3 if r2c7=2,3 or 4 (via r8).

/SudoQ
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arkietech



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

PostPosted: Wed Mar 14, 2012 11:19 pm    Post subject: Reply with quote

Code:
 
 *-----------------------------------------------------------*
 | 8     6     7     | 5     234   24    | 2349  1     349   |
 | 1     9    a23    |e24-3  6     8     |d234   5     7     |
 | 4     23    5     | 19    7     19    | 6     23    8     |
 |-------------------+-------------------+-------------------|
 | 23    5     8     | 7     1     49    | 2349  6     349   |
 | 6     4     1     | 239   23    5     | 7     8     39    |
 | 23    7     9     | 34    8     6     | 5     234   1     |
 |-------------------+-------------------+-------------------|
 | 9     23    6     | 8     24    7     | 1     34    5     |
 | 5     8    b23    | 124   9     124   |c34    7     6     |
 | 7     1     4     | 6     5     3     | 8     9     2     |
 *-----------------------------------------------------------*
s-wing
(3)r2c3=r8c3-(3=4)r8c7-r2c7=(4)r2c4 => r2c4<>3
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