Patterns Game

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Re: Patterns Game

Postby m_b_metcalf » Thu Mar 05, 2020 1:57 pm

Code: Select all
 1 . . . . . . . .
 . 2 . . 3 . 4 . .
 . . 5 . . 6 . 7 .
 . . . . . . . . .
 . 1 . . 4 . 2 . .
 . . 6 . . 8 . . 9
 . 4 . . 2 . 1 . .
 . . 7 . . . . 6 .
 . . . . . 5 . . .   ED=6.8/1.2/1.2
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Re: Patterns Game

Postby JPF » Thu Mar 05, 2020 5:51 pm

Code: Select all
 1 . . | . . . | . . .
 . 2 . | . 1 . | 3 . .
 . . 4 | . . 5 | . 6 .
-------+-------+-------
 . . . | . . . | . . .
 . 7 . | . 3 . | 1 . .
 . . 5 | . . 4 | . . 3
-------+-------+-------
 . 1 . | . 8 . | 7 . .
 . . 6 | . . . | . 4 .
 . . . | . . 6 | . . .    ED=4.2/1.2/1.2

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Re: Patterns Game

Postby m_b_metcalf » Thu Mar 05, 2020 6:11 pm

Code: Select all
 1 . . . . . . . .
 . 2 . . 3 . 4 . .
 . . 5 . . 6 . 7 .
 . . . . . . . . .
 . 3 . . 8 . 2 . .
 . . 6 . . 5 . . 9
 . 8 . . 2 . 3 . .
 . . 7 . . . . 5 .
 . . . . . 7 . . .   ED=7.4/1.2/1.2
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Re: Patterns Game

Postby JPF » Thu Mar 05, 2020 6:18 pm

Code: Select all
 1 . . | . . . | . . .
 . 2 . | . 3 . | 1 . .
 . . 4 | . . 5 | . 6 .
-------+-------+-------
 . . . | . . . | . . .
 . 7 . | . 1 . | 2 . .
 . . 5 | . . 6 | . . 1
-------+-------+-------
 . 8 . | . 2 . | 7 . .
 . . 6 | . . . | . 4 .
 . . . | . . 9 | . . .    ED=3.2/1.2/1.2

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Re: Patterns Game

Postby m_b_metcalf » Thu Mar 05, 2020 6:34 pm

Code: Select all
 1 . . . . . . . .
 . 2 . . 3 . 4 . .
 . . 5 . . 4 . 6 .
 . . . . . . . . .
 . 1 . . 7 . 2 . .
 . . 8 . . 6 . . 7
 . 7 . . 2 . 1 . .
 . . 6 . . . . 5 .
 . . . . . 8 . . .   ED=3.0/1.2/1.2
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Re: Patterns Game

Postby JPF » Thu Mar 05, 2020 6:39 pm

Code: Select all
 1 . . | . . . | . . .
 . 2 . | . 1 . | 3 . .
 . . 4 | . . 5 | . 6 .
-------+-------+-------
 . . . | . . . | . . .
 . 7 . | . 8 . | 2 . .
 . . 9 | . . 4 | . . 6
-------+-------+-------
 . 8 . | . 2 . | 1 . .
 . . 5 | . . . | . 4 .
 . . . | . . 8 | . . .    ED=2.8/1.2/1.2

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Re: Patterns Game

Postby m_b_metcalf » Thu Mar 05, 2020 6:47 pm

Code: Select all
 1 . . . . . . . .
 . 2 . . 3 . 4 . .
 . . 5 . . 6 . 7 .
 . . . . . . . . .
 . 1 . . 8 . 2 . .
 . . 7 . . 5 . . 8
 . 8 . . 2 . 1 . .
 . . 3 . . . . 5 .
 . . . . . 7 . . .   ED=4.4/1.2/1.2
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Postby g.r.emlin » Thu Mar 05, 2020 6:47 pm

::: game 0376 status LIGHTNING 2020-03-05+18:47:32-0000 :::
Code: Select all
game 0376 2020-03-03+03:00:00-0000 LIGHTNING duration 2d15h dealer coloin pages 2908-2911 (open) 3 players
_______________________________________________________________________________________________________________

    1.5/1.2/1.2 coloin         4.6/1.2/1.2 m_b_metcalf    7.7/1.2/1.2 m_b_metcalf    9.0/9.0/3.4 m_b_metcalf
    1.7/1.2/1.2 m_b_metcalf    6.5/1.2/1.2 m_b_metcalf    7.8/1.2/1.2 JPF            9.1/9.1/3.4 JPF
    2.0/1.2/1.2 m_b_metcalf    6.6/1.2/1.2 JPF            7.9/1.2/1.2 JPF            9.2/9.2/3.4 m_b_metcalf
    2.6/1.2/1.2 JPF            6.7/1.2/1.2 JPF            8.0/1.2/1.2 m_b_metcalf    9.3/9.3/3.8 JPF
    2.8/1.2/1.2 JPF            6.8/1.2/1.2 m_b_metcalf    8.2/1.2/1.2 JPF            9.4/9.4/3.8 m_b_metcalf
    3.0/1.2/1.2 m_b_metcalf    7.1/1.2/1.2 JPF            8.3/1.2/1.2 JPF            9.5/9.5/3.8 JPF
    3.2/1.2/1.2 JPF            7.2/7.2/3.4 JPF            8.4/7.2/3.4 m_b_metcalf    9.6/1.2/1.2 m_b_metcalf
    4.2/1.2/1.2 JPF            7.3/7.2/3.4 m_b_metcalf    8.5/8.5/3.4 m_b_metcalf    9.7/9.7/3.8 m_b_metcalf
    4.4/1.2/1.2 m_b_metcalf    7.4/1.2/1.2 m_b_metcalf    8.8/1.2/1.2 JPF            9.9/9.9/3.8 m_b_metcalf
    4.5/1.2/1.2 m_b_metcalf    7.6/7.2/3.8 JPF            8.9/8.9/3.0 JPF          10.0/10.0/3.8 JPF
_______________________________________________________________________________________________________________

    open ratings : 1.2 2.3 2.5 3.4 3.6 3.8 4.0 4.7-5.4 5.6-6.2 6.9 7.0 7.5 8.1 8.6 8.7 9.8 10.1-11.8

       submitter  entries  score  response  notes
     -----------  -------  -----  --------  -----
          coloin        1    -19         0  dealer
             JPF       19    892     1h43m  rare-2*2,pearl*6,highest-rating=24
     m_b_metcalf       20   1060     1h33m  rare-2*2,pearl*6,last-entry=90
     -----------  -------  -----            -----
               3       40   1933            rare-2*4,pearl*12
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Re: Patterns Game

Postby JPF » Thu Mar 05, 2020 6:52 pm

Code: Select all
 1 . . | . . . | . . .
 . 2 . | . 3 . | 4 . .
 . . 5 | . . 6 | . 7 .
-------+-------+-------
 . . . | . . . | . . .
 . 1 . | . 2 . | 8 . .
 . . 6 | . . 7 | . . 5
-------+-------+-------
 . 4 . | . 1 . | 2 . .
 . . 7 | . . . | . 6 .
 . . . | . . 4 | . . .    ED=5.6/1.2/1.2

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Re: Patterns Game

Postby m_b_metcalf » Thu Mar 05, 2020 7:10 pm

Code: Select all
 1 . . . . . . . .
 . 2 . . 3 . 4 . .
 . . 5 . . 6 . 7 .
 . . . . . . . . .
 . 1 . . 2 . 8 . .
 . . 6 . . 7 . . 3
 . 4 . . 1 . 2 . .
 . . 7 . . . . 6 .
 . . . . . 4 . . .   ED=3.6/1.2/1.2
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Re: Patterns Game

Postby JPF » Thu Mar 05, 2020 8:17 pm

Code: Select all
 1 . . | . . . | . . .
 . 2 . | . 1 . | 3 . .
 . . 4 | . . 5 | . 6 .
-------+-------+-------
 . . . | . . . | . . .
 . 7 . | . 3 . | 2 . .
 . . 5 | . . 8 | . . 6
-------+-------+-------
 . 3 . | . 2 . | 1 . .
 . . 8 | . . . | . 5 .
 . . . | . . 9 | . . .    ED=3.8/1.2/1.2

JPF
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Re: Patterns Game

Postby coloin » Thu Mar 05, 2020 11:05 pm

:::comment:::
yes, well, there are an above average number of puzzles with this pattern ..... but still not a real game as such with 19C - with all puzzles known... well done JPF
Although, here, it looks like the last entry wins !!!
In the interim I looked at a few more symmetrical 19C patterns, en bulk, and got most of the 4210 puzzles for 14 patterns [~300 puzz per pattern]
the best puzzle/pattern was below 9.9 ... and none had better than ED= x.x/x.x/3.8
so the 10.0 must be approaching the best ED for 19C symmetrical puzzles ...
Another pattern of many
Code: Select all
+---+---+---+
|...|...|...|
|.5.|.2.|.1.|
|..3|9..|6..|
+---+---+---+
|..8|6..|...|
|.4.|.1.|.2.|
|...|..3|7..|
+---+---+---+
|..6|..7|9..|
|.1.|.4.|.5.|
|...|...|...|
+---+---+---+ ED=9.8/9.8/3.4
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Re: Patterns Game

Postby m_b_metcalf » Fri Mar 06, 2020 9:28 am

::: resign :::
coloin wrote:Although, here, it looks like the last entry wins !!!

Yes, it's quite perverse that, in a game with an even number of possible highest ratings, ignoring the deal and the dealer, the first player is doomed to lose. Anyway, I'm off now for a few days' respite.

Mike
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Re: Patterns Game

Postby JPF » Fri Mar 06, 2020 4:45 pm

::: comments :::

I understand Mike's frustration.
In fact, the game has its limits when there are only 2 players and/or when the pattern's number of clues is too low.
When the game was designed (12 years ago) I chose 19 clues as the lower bound ; but now this bound is too low because thanks to much more efficient solvers it is possible to list all the puzzles of a 19 clue pattern, making the game much less interesting.

Last point, I got the highest rating thanks to a sudoku explainer's bug:
Here are 2 equivalent puzzles with different ratings:
Code: Select all
1.........3..8.9....6..4.2...........5..9.3....2..7..6.8..3.1....7....4......2...  ED = 10.0/10.0/3.8
1.........2..3.4....5..6.7...........4..9.2....8..7..6.9..2.1....6....8......5...  ED = 9.9/9.9/3.8

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Postby Pat » Sun Mar 08, 2020 1:35 pm

m_b_metcalf wrote:
coloin wrote:Although, here, it looks like the last entry wins !!!

Yes, it's quite perverse that, in a game with an even number of possible highest ratings, ignoring the deal and the dealer, the first player is doomed to lose.

( assuming only 2 active players
and both players reach same ratings
)

well it just happened that the first response was the losing move.
could've been the winning move!
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