Crossword Squares

Anything goes, but keep it seemly...

Re: Crossword Squares

Postby JPF » Thu May 11, 2017 12:02 pm

Sol 2 - Grid 4.JPG
Score 208
-------------------------------
Sol 2 - Grid 4.JPG (25.74 KiB) Viewed 128 times

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Re: Crossword Squares

Postby JPF » Thu May 11, 2017 2:58 pm

Oops! I have a better score in hand, but I'll leave you one day to submit a new proposal.

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Re: Crossword Squares

Postby Leren » Thu May 11, 2017 11:13 pm

Code: Select all
---------------------
| # R E P A P E R # |
| H E X A M I N E S |
| A D # Z I Z # P I |
| P I Z Z A Z Z E S |
| # V I A # A I T # |
| P I Z Z A Z Z E S |
| A D # Z I Z # N O |
| R E P E T E N D S |
| # D I S U S E S # |
---------------------
Score = 209

One of 48 scores of 209. Leren
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Re: Crossword Squares

Postby JPF » Fri May 12, 2017 9:51 am

Yep!
209 just popped up after my last post with this:
Sol 3 Grid 4.JPG
Score 209
---------------------------------
Sol 3 Grid 4.JPG (19.78 KiB) Viewed 106 times

What about this new challenge:
Fill the grid, get the maximum scrabble value, but using the maximum number of tiles allowed for each letter (i.e : E x 12, A x 9,..., Q x 1, Z x 1)
No blank tiles.

Here's the grid:
Grid 5.JPG
Grid 5.JPG (12.05 KiB) Viewed 106 times

I'm starting from scratch. I hope there is at least a solution...

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Re: Crossword Squares

Postby Leren » Fri May 12, 2017 10:11 am

Well, I'll give it a go, but like you I'm starting from scratch, so don't expect anything from me for a few days. Looks tough with so few black squares.

PS - Just realized that this will alter the dictionaries significantly eg there is only one Z, so no more ZZZS's, PAZZAZZES's etc. I think that's a good thing.

PPS - Just flushed out the 9 letter word dictionary, and only 617 words were rejected, but the maximum word score has dropped from 47 to 31 !

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Re: Crossword Squares

Postby JPF » Fri May 12, 2017 12:28 pm

There is at a least solution. I found this example (not a proposal) :
edited : my previous example was not "scrabble compatible"

Grid 5 - Example .JPG
Score 77
----------------------------
Grid 5 - Example .JPG (20.38 KiB) Viewed 86 times
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Re: Crossword Squares

Postby Leren » Fri May 12, 2017 8:24 pm

It's only now that I see that the grid is 7 x 7. Well that should make things a lot easier.

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Re: Crossword Squares

Postby JPF » Sat May 13, 2017 6:46 am

Grid 5 - Sol 1 .JPG
Score 113
---------------------------
Grid 5 - Sol 1 .JPG (20.26 KiB) Viewed 79 times

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Re: Crossword Squares

Postby Leren » Sat May 13, 2017 1:57 pm

Code: Select all
-----------------
| J A Y W A L K |
| E F # O M O V |
| R E P R I V E |
| Q A I D # E T |
| U R E # A R C |
| E # Z A X # H |
| S H O W E R Y |
-----------------
Score = 114

Leren
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Re: Crossword Squares

Postby JPF » Sat May 13, 2017 5:46 pm

Grid 5 - Sol 2 .JPG
Score = 115
---------------------------
Grid 5 - Sol 2 .JPG (20.26 KiB) Viewed 65 times

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Re: Crossword Squares

Postby Leren » Sat May 13, 2017 8:39 pm

Code: Select all
-----------------
| Q U E T Z A L |
| U P # W A V E |
| A P R A X I C |
| F E H S # S H |
| F R Y # K O W |
| E # M A Y # E |
| D J E B E L S |
-----------------
Score = 118

Leren
Last edited by Leren on Sun May 14, 2017 3:39 am, edited 1 time in total.
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Re: Crossword Squares

Postby JPF » Sun May 14, 2017 10:08 am

Code: Select all
Last edited by Leren on Sun May 14, 2017 3:39 am, edited 1 time in total.

not fair. I "resign".

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Re: Crossword Squares

Postby Leren » Sun May 14, 2017 1:23 pm

Hi JPF, as always with your puzzles I really enjoy the programming challenges and the subsequent hunt for the maximal solution - can't wait for your next challenge.

I think the trick with this last one was provided by your last post - it then became evident that you needed to have two high scoring words in Row1 and Column 1, sharing a high scoring letter in r1c1. I experimented a bit with various Q and Z word combinations and finally got lucky. Even with tight restrictions on the words that could go in Row 1 and Column 1, the winning run still produced over 80,000,000 hits, with 4 of them scoring 118. There were also hits at 116 and 117.

As I said, can't wait for your next challenge.

Cheers, Leren
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Re: Crossword Squares

Postby JPF » Mon May 15, 2017 10:02 am

Here's the new grid. Same rules.
I'll give my first proposal tomorrow.
If I am right, the maximum possible is 158.

Grid 6.JPG
Grid 6.JPG (17.72 KiB) Viewed 29 times
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Re: Crossword Squares

Postby Leren » Mon May 15, 2017 10:16 am

OK, I'll give it a go. Don't expect a response from me for a few days while I write the search algorithm.

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