Crossword Squares

Anything goes, but keep it seemly...

Re: Crossword Squares

Postby Leren » Thu May 25, 2017 1:58 am

Code: Select all
---------------------
| W H O P # M O U E |
| H U R R A Y I N G |
| O R # E N D # B A |
| P R E W A R N E D |
| # A N A X I A L # |
| M Y D R I A T I C |
| O I # N A T # E E |
| U N B E L I E F S |
| E G A D # C E S S |
---------------------
Score = 123

Here is another, Leren

<edit>

New Hi Score 131, now 136

Leren
Last edited by Leren on Thu May 25, 2017 8:44 pm, edited 1 time in total.
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Re: Crossword Squares

Postby JPF » Thu May 25, 2017 8:01 am

Edit : wrong pattern, again!

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Re: Crossword Squares

Postby Leren » Thu May 25, 2017 12:01 pm

Hi JPF, not quite sure what you mean by your last comment.

I'm sure I have the right pattern but I'm following the agreed protocol of announcing a new high score but not posting a new diagram until you respond.

Still looking, Leren
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Re: Crossword Squares

Postby JPF » Thu May 25, 2017 1:54 pm

Hi Leren,
Sorry, my post was not clear.
I posted again a grid with "the" wrong pattern.
When I realized that, I deleted my post and left the comment starting with edit.
In practice, it means that I lost a lot of time and I have to start again a new search.

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Re: Crossword Squares

Postby JPF » Thu May 25, 2017 11:18 pm

With all those mistakes, I am late.
Here is one though:

Grid 2 - Sol 2.JPG
Score = 135
--------------------------
Grid 2 - Sol 2.JPG (22.38 KiB) Viewed 150 times

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Re: Crossword Squares

Postby Leren » Fri May 26, 2017 10:41 am

Code: Select all
---------------------
| V R O W # V I B E |
| R H Y O L I T I C |
| O Y # R I Z # D O |
| W O R K F A R E S |
| # L I F T M A N # |
| N I D A M E N T A |
| A T # R A N # A X |
| B I D E N T A T E |
| E C O S # S E E D |
---------------------
Score = 136

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Re: Crossword Squares

Postby JPF » Fri May 26, 2017 1:20 pm

easy move :)

Grid 2 - Sol 3.JPG
Score = 139
--------------------------
Grid 2 - Sol 3.JPG (20.21 KiB) Viewed 139 times

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Re: Crossword Squares

Postby Leren » Fri May 26, 2017 4:59 pm

Code: Select all
---------------------
| W A A C # B A F F |
| A M Y O T O N I A |
| A Y # N O W # X I |
| C O N Q U E R E R |
| # T O U Z L E D # |
| J O D E L L I N G |
| O N # R E I # E A |
| S I D E D N E S S |
| H A I R # G A S H |
---------------------
Score = 143

Leren

<edit> New high score for me : 146
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Re: Crossword Squares

Postby Leren » Sat May 27, 2017 9:17 pm

Hi JPF, I'm going to claim that 146 is the maximum score for this pattern with Scrabble letter distribution rules. In any event I've stopped looking.

Are you still looking for a higher score, do you wish to propose another pattern or have you had enough of Crossword Squares for now? I'm still up for it if you are, it's a lot of fun for me.

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Re: Crossword Squares

Postby JPF » Sun May 28, 2017 11:21 am

Hi Leren,
Congratulations for your 143 and your upcoming 146!
Actually, I am stuck under 140 and yes let's stop with that pattern.

My "solver" is obviously too low and inefficient.
I should rewrite it but i am busy - and lazy - at the moment.

Anyway, here is a new pattern, randomly picked.
Good luck!

Grid 7.JPG
Maximum score =160
----------------------------
Grid 7.JPG (15.67 KiB) Viewed 109 times

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Re: Crossword Squares

Postby Leren » Sun May 28, 2017 9:47 pm

Well, here is the highest score pattern:

Code: Select all
---------------------
| Q U A D # S H O W |
| U N D E C E I V E |
| A D # F O P # E L |
| D E F L A T O R S |
| # C O A X I N G # |
| S E P T I M O L E |
| H I # O N O # A Y |
| O V E R G L A Z E |
| W E M S # E Y E N |
---------------------
Score = 146

There are a total of 46 similar solutions with this pattern, or 92 in total, counting transposes.

The reason that I think it can't be exceeded is that it's the highest scoring pattern with the two central 7 letter words equal. Why can't there be a higher score with the central words unequal? Well in theory there could be, but in practice I found that this was never the case. Because the black cell pattern is symmetrical about the main diagonal, if it wasn't for the scrabble letter distribution constraint, the highest score would obviously be transposable (the contents of each row would be equal to the contents of the corresponding column). The letter distribution constraint prevents this from being perfectly true, but in practice it just isn't a strong enough constraint to stop the highest score occurring with the two central words equal.

I'll have a look at your new pattern, it's got 2 more black cells, which is good, and is not symmetrical about the main diagonal, which is also good.

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Re: Crossword Squares

Postby JPF » Sun May 28, 2017 10:47 pm

Thanks for the solution!

Here is a solution for the new pattern with a very low score:
Grid 7 - Sol 1.JPG
Score = 95
------------------------
Grid 7 - Sol 1.JPG (19.34 KiB) Viewed 97 times

My real current score is 154 - edit: 159 now

JPF
Last edited by JPF on Wed May 31, 2017 9:38 am, edited 3 times in total.
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Re: Crossword Squares

Postby Leren » Mon May 29, 2017 12:07 am

Hi JPF. Thanks for the example, it will help me debug the new pattern. As usual it will take me a day or two to respond to a new pattern

Leren

<edit> Up and running - like a freight train. HS only 150 at the moment.....154.... like a bolt out of the blue ... 158 !.... 159 one to go !

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Re: Crossword Squares

Postby Leren » Wed May 31, 2017 11:44 am

Code: Select all
---------------------
| B A C K F L I P S |
| A G H A # E V E T |
| J E E # P A Y S # |
| A N C L E S # O M |
| N # H I D E D # Y |
| # F A G # D E M E |
| N I Q A B # V O L |
| A G U N O T # Z O |
| W O O D W A X E N |
---------------------
Score = 160

Mount Everest has been conquered !

Leren

<edit>

Corrected diagram to display r3c7 correctly. Leren
Last edited by Leren on Wed May 31, 2017 9:20 pm, edited 2 times in total.
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Re: Crossword Squares

Postby JPF » Wed May 31, 2017 12:21 pm

Great achievement!
But are you sure you climbed the right mountain?
Your pattern is not the proposed one.

Here is a real solution:
Grid 7- Sol2.JPG
Score = 160
----------------------------
Grid 7- Sol2.JPG (21.81 KiB) Viewed 48 times


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