Crossword Squares

Anything goes, but keep it seemly...

Re: Crossword Squares

Postby JPF » Sun May 07, 2017 9:48 am

you wrote:Your new grid looks harder but I'm prepared to give it a go.

Oops! My program just stopped with a score = 184.
I let the game keep going and i don't disclose that solution for the moment ; I may also have bugs in my code.

If you get 184, please give me the right to post my solution.

JPF
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Re: Crossword Squares

Postby Leren » Mon May 08, 2017 11:20 am

Deleted

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Re: Crossword Squares

Postby Leren » Mon May 08, 2017 11:32 am

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Re: Crossword Squares

Postby Leren » Mon May 08, 2017 11:37 am

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Re: Crossword Squares

Postby Leren » Mon May 08, 2017 12:05 pm

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Re: Crossword Squares

Postby Leren » Tue May 09, 2017 3:27 am

Code: Select all
---------------------
| Z Z Z S # C O C K |
| Z O O T R O P H Y |
| Z O # R A X # O N |
| S T R E T C H E D |
| # R A T T O O N # |
| C O X C O M B I C |
| O P # H O B # X U |
| C H O E N I X E S |
| K Y N D # C U S K |
---------------------
Score = 204

and
Code: Select all
---------------------
| Z Z Z S # E X E D |
| Z O O T O X I N S |
| Z O # A V O # D O |
| S T A R E T Z E S |
| # O V E R R A N # |
| E X O T R O P I C |
| X I # Z A P # Z O |
| E N D E N I Z E N |
| D S O S # C O N K |
---------------------
Score = 204

and
Code: Select all
---------------------
| Z Z Z S # Z A R I |
| Z O O C H O R E S |
| Z O # H U E # M M |
| S C H A N T Z E S |
| # H U N D R E D # |
| Z O E T R O P I C |
| A R # Z E P # A H |
| R E M E D I A T E |
| I S M S # C H E Z |
---------------------
Score = 204

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Re: Crossword Squares

Postby JPF » Tue May 09, 2017 10:51 am

Well, it took me a while to realize that you were not playing with the right grid...
Anyway, here a solution with your grid:

Grid 3 -Sol 1.JPG
Score 221
-----------------------------
Grid 3 -Sol 1.JPG (23.27 KiB) Viewed 1007 times
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Re: Crossword Squares

Postby Leren » Tue May 09, 2017 8:02 pm

Hi JPF, actually I did have the right grid, I just had a bug in the code that draws the diagrams. Fixed my last post and deleted some earlier posts that are no longer relevant.

For the statistically minded there were in total 12 Scores of 204, which I think is maximal, and 489 scores of 200 or more.

Nevertheless I'll take your modified grid as a new challenge. Based on my recent experience your example looks maximal to me, except that there are 3 other trivial variations, by using all the permutations of ZARF and ZURF.

BTW I also tried ZIZZ and JAZZ in the top left, with maximum scores of 188 and 192 respectively.

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Re: Crossword Squares

Postby Leren » Wed May 10, 2017 12:04 am

Hi JPF, didn't take long to rejig my code to make r5c5 a black cell. I can confirm that the highest score for ZWANZIGER in Row and Column 2 is 221, of which there are 32 instances. Here is one that is slightly different from yours.

Code: Select all
---------------------
| Z Z Z S # Z A R F |
| Z W A N Z I G E R |
| Z A # O U P # I O |
| S N O O Z L I N G |
| # Z U Z # O L D # |
| Z I P L O C K E D |
| A G # I L K # X I |
| R E I N D E X E D |
| F R O G # D I D Y |
---------------------
Score = 221

Even with my code set to transpose mode, to reduce search time (Rows 2468 are set equal to Columns 2468), the number of solutions is still enormous, 124,193,832. Without transpose mode the number of solutions was past 500,000,000 before I killed the execution. This high number of solutions is probably because of the large number of short words. Nevertheless, with two ZZZSs locked in transpose the top left corner, it seems that transposable solutions give the maximum score.

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Re: Crossword Squares

Postby Leren » Wed May 10, 2017 9:07 am

Hi JPF, How about the following pattern ?

Code: Select all
---------------------
| # Z Z Z Z Z Z Z # |
| Z Z Z Z Z Z Z Z Z |
| Z Z # Z Z Z # Z Z |
| Z Z Z Z Z Z Z Z Z |
| # Z Z Z # Z Z Z # |
| Z Z Z Z Z Z Z Z Z |
| Z Z # Z Z Z # Z Z |
| Z Z Z Z Z Z Z Z Z |
| # Z Z Z Z Z Z Z # |
---------------------

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Re: Crossword Squares

Postby JPF » Wed May 10, 2017 10:56 am

On the fly (5mn search), here's a first proposal just to vizualize the grid :

Sol 1 Grid 4.JPG
Score 151
----------------------------------
Sol 1 Grid 4.JPG (22.84 KiB) Viewed 982 times

It would be nice if you just post one proposal.

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Re: Crossword Squares

Postby dobrichev » Wed May 10, 2017 11:15 am

"she put cube no pub" is the only meaningful to me from the above filling.
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Re: Crossword Squares

Postby Leren » Wed May 10, 2017 11:16 am

JPF wrote: It would be nice if you just post one proposal.

Will do, may take a few days.

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Re: Crossword Squares

Postby Leren » Wed May 10, 2017 11:20 am

dobrichev wrote : "she put cube no pub"

Maybe she did that COS SHE was PAROICOUS (sic) :D

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Re: Crossword Squares

Postby Leren » Thu May 11, 2017 11:40 am

Code: Select all
---------------------
| # W H O M P E D # |
| C H I V A R E E D |
| A I # E X O # P A |
| T Z A R I T Z A S |
| # Z A S # O O R # |
| O B S I G N A T E |
| B A # Z E A # E F |
| I N J E C T O R S |
| # G A S K E T S # |
---------------------
Score = 157

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