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Is “11” the ultimate minimum-digits for logic-Sudoku puzzle?

 
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Drjsguo



Joined: 23 Oct 2006
Posts: 24
Location: California, USA

PostPosted: Sat Mar 03, 2007 7:59 am    Post subject: Is “11” the ultimate minimum-digits for logic-Sudoku puzzle? Reply with quote

I discovered a logic-Sudoku named Mudan Rainbow Sudoku that has only eleven digits. Is this the ultimate minimum-digits limit for a 9X9 Sudoku puzzle?

www.chinasudoku.com

Who has seen one less than that before? Please tell us.

Drjsguo 3/3/2007
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udosuk



Joined: 17 Jul 2005
Posts: 2835
Location: Sydney, Australia

PostPosted: Sat Mar 03, 2007 4:54 pm    Post subject: Reply with quote

I've posted a couple with eight:

http://www.sudoku.com/boards/viewtopic.php?t=4566

The absolute minimum is zero, but that's another story...
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Drjsguo



Joined: 23 Oct 2006
Posts: 24
Location: California, USA

PostPosted: Sat Mar 03, 2007 6:09 pm    Post subject: Reply with quote

Very interesting. Thanks!

I was thinking the minimum digits required could be 8. I never thought zero is the answer. Could you give us more info?
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Drjsguo



Joined: 23 Oct 2006
Posts: 24
Location: California, USA

PostPosted: Sat Mar 03, 2007 11:43 pm    Post subject: Reply with quote

After think it over again, I finally get your point. I agree with you “zero” is the minimum digit for logic Sudoku, if all numbers are restricted to certain rules. In that case, since all 81 numbers are fixed. Without any number showing we are still be able to get the answer.

Thanks for your answer.
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udosuk



Joined: 17 Jul 2005
Posts: 2835
Location: Sydney, Australia

PostPosted: Sun Mar 04, 2007 2:54 am    Post subject: Reply with quote

Yes, you got the concept why zero is possible...

Here is an example:

19 months ago, tso wrote:
Code:
. . . | . . . | . . .
. . . | . . . | . . .
. . . | . . . | . . .
------+-------+------
. . . | . . . | . . .
. . . | . . . | . . .
. . . | . . . | . . .
------+-------+------
. . . | . . . | . . .
. . . | . . . | . . .
. . . | . . . | . . .

Place the digits in this Sudoku such that the resulting 81 digit number formed by stringing the rows one after the other in order from top to bottom is minimum.


PS: Despite being a Chinese speaker, I never had a seriously strong interest in your website... But I guess it's a nice one, so keep up the good work! Smile
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Drjsguo



Joined: 23 Oct 2006
Posts: 24
Location: California, USA

PostPosted: Sun Mar 04, 2007 6:23 am    Post subject: Reply with quote

Nice tip. Thanks.
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