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27420 completions for a 14 given sudoku

 
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ChPicard

Joined: 12 Mar 2008
Posts: 82
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Location: Montreal, Canada

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PostPosted: Wed Nov 18, 2009 10:09 pm    Post subject: 27420 completions for a 14 given sudoku Reply with quote

Hi

This 14 given sudoku has 27420 completions. I can't find better.

080000000
000009100
700200000
019000800
000670000
000000000
000001000
600000027
000000000

ChPicard
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JPF

Joined: 05 Dec 2005
Posts: 29
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Location: Paris

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PostPosted: Sun Nov 29, 2009 6:31 pm    Post subject: Reply with quote

Right, that puzzle is a sub-puzzle of a 17 from the Gordon's list.

Code:

Minlex equivalent :
 *-----------*
 |...|...|...|
 |...|...|..1|
 |..2|.34|...|
 |---+---+---|
 |...|...|...|
 |...|...|23.|
 |15.|6..|...|
 |---+---+---|
 |...|1..|..5|
 |..3|...|4..|
 |6..|...|...|
 *-----------*   27420 solutions

 *-----------*
 |...|..2|...|
 |.7.|...|..1|
 |..2|.34|...|
 |---+---+---|
 |...|...|...|
 |...|...|23.|
 |15.|6..|...|
 |---+---+---|
 |...|1..|..5|
 |..3|..8|4..|
 |6..|...|...|
 *-----------*   17 clues


Here are some other 14s and their corresponding 17 :
Code:

28896 solutions        17 clues
 *-----------*       *-----------*
 |...|...|...|       |...|...|.7.|
 |...|...|..1|       |8..|...|..1|
 |..2|..3|...|       |..2|..3|...|
 |---+---+---|       |---+---+---|
 |...|...|...|       |...|...|...|
 |...|..4|23.|       |...|..4|23.|
 |15.|...|...|       |15.|2..|...|
 |---+---+---|       |---+---+---|
 |...|...|...|       |...|...|...|
 |...|15.|..6|       |...|15.|..6|
 |7.3|...|4..|       |7.3|...|4..|
 *-----------*       *-----------*

Code:

29220 solutions        17 clues
 *-----------*       *-----------*
 |...|...|...|       |...|...|7..|
 |...|...|..1|       |...|.8.|..1|
 |..2|..3|...|       |..2|..3|...|
 |---+---+---|       |---+---+---|
 |...|...|...|       |...|...|...|
 |...|..4|23.|       |...|..4|23.|
 |15.|.6.|...|       |15.|.6.|...|
 |---+---+---|       |---+---+---|
 |...|.1.|..5|       |...|.1.|..5|
 |...|6..|...|       |.8.|6..|...|
 |..3|...|4..|       |..3|...|4..|
 *-----------*       *-----------*

JPF
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