difficult 6x6

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difficult 6x6

Postby Eioru » Thu Oct 19, 2006 5:44 am

I find
010 020 000 300 003 000 000 400 005 000 040 060 - two UR
I know now there are two 6x6 puzzles' difficulty 7.3 and 7.2.
So I am interesting to find puzzles' difficulty over 7.


Now I put the list below ( ALL 2Rx3C )

7.3
000 040 010 305 000 200 003 000 602 050 050 000

7.2
000 506 000 040 100 300 003 005 040 000 201 000
Last edited by Eioru on Sun Oct 22, 2006 3:45 pm, edited 4 times in total.
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Postby udosuk » Thu Oct 19, 2006 10:27 am

Eioru, there are nicer ways to post puzzles!
Code: Select all
Two URs:

.1.|.2.
...|3..
---+---
..3|...
...|4..
---+---
..5|...
.4.|.6.

Three URs:

...|126
4..|...
---+---
15.|...
...|...
---+---
...|...
.6.|513

Also, when you post 6x6 puzzles, I think it'd be nicer to specify the box dimensions (2rx3c in this case)...
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re: 2x3

Postby Pat » Thu Oct 19, 2006 11:24 am

Code: Select all
...|126
4..|...
---+---
15.|...
...|...
---+---
...|...
.6.|513

where can i put a 4 in box 2 ??
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Re: re: 2x3

Postby udosuk » Thu Oct 19, 2006 11:36 am

Pat wrote:where can i put a 4 in box 2 ??

My mistake... Should be this instead (I guess?)...
Code: Select all
..|.1|26
4.|..|..
15|..|..
--+--+--
..|..|..
..|..|..
.6|.5|13

Okay, so I guess it's very clever, you're only given the 36 cells, and then you have to decide yourself that if it's 2rx3c or 3rx2c...:idea:
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Postby Jean-Christophe » Thu Oct 19, 2006 6:52 pm

Can't be this either.
No place for a 6 in box 1 !
I also checked for a latin square (no boxes), it does not have a unique solution.

Eioru, something is wrong there !
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Postby udosuk » Fri Oct 20, 2006 12:31 am

Blah... Didn't look carefully...:(
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Postby Eioru » Sat Oct 21, 2006 5:36 am

1UR+1UL
100 000 020 040 200 000 000 001 040 050 000 006
000 000 030 002 600 000 000 020 400 006 050 300

2UR+1UL
000 120 000 000 040 000 010 005 000 000 600 513
000 120 000 000 004 000 010 005 000 000 600 513
000 100 002 000 000 201 005 060 300 500 000 020

2UR+2UL
400 126 000 000 150 000 000 000 000 000 000 513

4UR
000 020 000 000 030 005 010 000 006 002 005 006

Pat wrote:
Code: Select all
...|126
4..|...
---+---
15.|...
...|...
---+---
...|...
.6.|513

where can i put a 4 in box 2 ??


Sorry, I will delete it.
Last edited by Eioru on Sat Oct 21, 2006 2:00 am, edited 4 times in total.
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Postby Eioru » Sat Oct 21, 2006 11:07 am

Though it doesn't have 7 difficulty, it has a BUG and 3 Forcing-X-chain.
Code: Select all
410 003
063 000
024 001
000 040
001 300
000 000
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re: difficult 2x3

Postby Pat » Sun Oct 22, 2006 11:47 am

Eioru wrote:I am interesting to find puzzles with difficulty over 7.

hi Eioru,
you haven't defined your measure of difficulty,
what does "over 7" mean to you?



a couple of tough examples were posted at- are they tough enough for you?
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Postby Jean-Christophe » Sun Oct 22, 2006 12:43 pm

100 000 020 040 200 000 000 001 040 050 000 006
This one has 7 solutions:(

000 000 030 002 600 000 000 020 400 006 050 300
This one has 9 solutions:(

I didn't check any further, but I guess most have multiple solutions.

Note : you cannot use any uniqueness based techniques like UR or BUG to prove (or check) some puzzle has a unique solution since these techniques assume this is the case.
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Postby udosuk » Sun Oct 22, 2006 1:27 pm

It seems Eioru is using Sudoku Explainer to run those 6x6 puzzles (by cramming in 7,8,9 in certain boxes/rows/columns and ignoring the program's warning that there are multiple values somewhere)... Perhaps that's why he/she keep posting invalid puzzles... Could somebody suggest a good software which can deal with 6x6 puzzles reliably? Ruud? JC?
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Postby Eioru » Sun Oct 22, 2006 6:48 pm

udosuk wrote:It seems Eioru is using Sudoku Explainer to run those 6x6 puzzles (by cramming in 7,8,9 in certain boxes/rows/columns and ignoring the program's warning that there are multiple values somewhere)... Perhaps that's why he/she keep posting invalid puzzles... Could somebody suggest a good software which can deal with 6x6 puzzles reliably? Ruud? JC?


That is right. So sad!:(
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Re: re: difficult 2x3

Postby Eioru » Sun Oct 22, 2006 7:32 pm

you haven't defined your measure of difficulty,
what does "over 7" mean to you?


by SE, but now I feel that way is wrong
maybe the UR and UL can't exist in 6x6 puzzle.

a couple of tough examples were posted at- are they tough enough for you?


The 2 puzzle I post on top post.
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Postby r.e.s. » Mon Oct 23, 2006 4:47 am

udosuk wrote:Could somebody suggest a good software which can deal with 6x6 puzzles reliably? Ruud? JC?

Rubylips' solver & composer at act365.com/sudoku/ can be configured for various box-sizes, including these 2x3. Its copy/paste interface is a bit unusual, though -- after configuring the box-size, click "copy", then paste the puzzle into the window that opens, then click "paste", then solve. It reads puzzles in the format of the one at the link Pat gave, or in the linear format Eioru is using.
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re: tough 2x3

Postby Pat » Mon Oct 23, 2006 11:10 am

and how about this one,
is it tough enough?
i still don't know how you rate them---
noggi (2005.Oct.27) wrote:
Code: Select all
. 1 2 | . 5 .
3 . 5 | 1 . 2
------+------
. . 1 | . . .
. . . | 2 . .
------+------
1 . 3 | 5 . 6
. 5 . | 3 . .
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