Patterns Game Strategies

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isomorphs

Postby Pat » Tue Mar 08, 2016 11:59 am

in game 270, Pat wrote:

    4..78.9..5..1......8...4.7.6.....5...1..4..3...2.....6.6.4...8......8..9..8.13..2 ED=10.3/10.3/9.8

we can get a slightly-higher rating
by rotating the puzzle

    2..31.8..9..8......8...4.6.6.....2...3..4..1...5.....6.7.4...8......1..5..9.87..4 ED=10.3/10.3/9.9
( found by champagne ),
but how would i see that before posting?

rating countless isomorphs is just too expensive
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re: isomorphs

Postby Pat » Tue Mar 08, 2016 12:11 pm

take my posted 10.3
and swap just 2 givens
( the first 7,1 )
    4..18.9..5..7......8...4.7.6.....5...1..4..3...2.....6.6.4...8......8..9..8.13..2 ED=10.3/10.3/9.8
this is a Very Similar puzzle
( but not isomorph )
    in this case,
    rotating the puzzle
    leaves us with the same rating
can we find some isomorph of this puzzle
with a higher rating?
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Re: isomorphs

Postby champagne » Tue Mar 08, 2016 12:38 pm

Pat wrote:
but how would i see that before posting?

rating countless isomorphs is just too expensive


Hi pat,

that question is not too hard, although I don't do it and I have been caught as others.

If you suspect a possible morphing trap, just morph both puzzles into a canonical form.



Pat wrote:can we find some isomorph of this puzzle
with a higher rating?


But here, I have no answer. The deviation in serate for morphs of the same puzzle with high ratings in unpredictable. Usually, it is a 0.1 deviation, that's it.
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RIP, Patterns Game

Postby m_b_metcalf » Wed Mar 23, 2016 1:34 pm

Well, it seems that, after nine years, the Patterns Game has finally died. For the record, here is a list of the 30 participants:

Code: Select all
gsf           coloin        999_Springs   
JPF           m_b_metcalf   tarek         
Mauricio      Pat           TTHsieh       
Eioru         draco         pseudocoup   
claudiarabia  mario133      champagne     
joel64        ronk          surbier       
BryanL        Patrice       daj95376     
eleven        papy999       dobrichev     
WosRet        blue          GouinJP       
ssxsssxs      CSC           billeioru   


I wanted to send out a PM to all of them to mark the occasion, but the number of recipients in a PM is limited to five, so I gave up. Anyway thanks to all, especially to JPF for the idea and to gsf for looking after g.r.emlin so efficiently.

Attached are summaries of the played submissions and of the winning submissions, for future historians. Submissions up to September last year can be found in a single file kindly hosted by champagne and referenced in the Patterns Game benchmark file thread.

Best wishes,

Mike Metcalf
Attachments
fout.txt
winning submissions
(101.57 KiB) Downloaded 38 times
fplayed.txt
all submissions
(176.09 KiB) Downloaded 35 times
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4.9

Postby Pat » Thu Apr 07, 2016 2:37 pm


    and after all these years,
    game 270 has finally provided the highest-ever 4.9
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Re: 4.9

Postby m_b_metcalf » Fri Apr 08, 2016 8:52 am

Pat wrote:and after all these years,
game 270 has finally provided the highest-ever 4.9

Well done. It has a cousin:

Code: Select all
 1 . . 2 3 . 4 . .
 5 . . 6 . . . . .
 . 7 . . . 8 . 2 .
 2 . . . . . 3 . .
 . 3 . . 5 . . 1 .
 . . 4 . . . . . 9
 . 6 . 8 . . . 4 .
 . . . . . 4 . . 5
 . . 8 . 7 6 . . 1   ED=4.9/4.4/2.6
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re: game 49

Postby Pat » Wed Apr 20, 2016 3:34 pm

champagne wrote:
---for the game 262

I checked the order of magnitude of the task for a full scan for that pattern.

I filled the box 1, then expanded band 1 stack 1

and solved the redundancy using
    gridchecker --pattern --patcanon < in.txt > out.txt
I got 721 ED partial puzzles---

would this be a sensible strategy for game 49 ?

Code: Select all
. . . . . . O O .
. . . O O . . . .
. . O . . . O O .
. O . . . . . . O
. O . . O . . . O
. . . . . O . . .
O . O . . . O . .
O . O . . . . . .
. . . O O . . . .
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Re: re: game 49

Postby champagne » Thu Apr 21, 2016 5:40 am

Pat wrote:
champagne wrote:
---for the game 262

I checked the order of magnitude of the task for a full scan for that pattern.

I filled the box 1, then expanded band 1 stack 1

and solved the redundancy using
    gridchecker --pattern --patcanon < in.txt > out.txt
I got 721 ED partial puzzles---

would this be a sensible strategy for game 49 ?

Code: Select all
. . . . . . O O .
. . . O O . . . .
. . O . . . O O .
. O . . . . . . O
. O . . O . . . O
. . . . . O . . .
O . O . . . O . .
O . O . . . . . .
. . . O O . . . .

Hi pat,
just for memory, the game 262 pattern


Code: Select all
                    . X X . . . . . X
                    X . X . . X . . .
                    X X X . . . . . .
                    . . . X . . . X .
                    . . . . X . X . X
                    . X . . . X . . .
                    . . . . X . X . .
                    . . . X . . . X .
                    X . . . X . . . X


The process can be applied to any pattern. A pattern with 20 clues would generate less puzzles and the scan would be faster, but it remains a slow process.
Normally, the process is better if you take the pair band/stack with the highest number of clues, here band 3 and stack 3.

But you should have good reasons to lock some power to do the job.
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