Patterns Game Strategies

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Re: Patterns Game Strategies

Postby blue » Tue Nov 19, 2013 11:49 pm

Hi champagne,

champagne wrote:all diamonds from 8.2 to 9.7 except 9.6

Yes, that is nicely impressive !!

I tested that game thinking that blue would come again, playing on the high side as in game 215, but he did not show up

I tried the pattern a few times, with the sort of filtering that I mentioned ... but with no luck.
I didn't press it very far, though, and as I mentioned, my code is very unsophisticated.

[ For example, I allowed that what I was doing could be called a "vicintity search", but in detail, it didn't include a proper {-n,+n} search, for any n > 1. It covered some n > 1 changes, but (likely) only a small fraction of the total that would have been available. ]

Best Regards,
Blue.
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Re: Patterns Game Strategies

Postby champagne » Thu Nov 21, 2013 7:55 am

Blue made a very good job in the game 215. I did not catch exactly the process followed, but the yield has been very high in the ratings 10.x and more.

I tried a tailor made scan on that pattern, followed by a classical +-3 generation.

Compared to what I am generating in the 22 clues area, the scan has been very disappointing. Endless runs with a very low production.

That process would not work in a competitive game.

One reason can be the effect of a higher number of clues(24 against 22), the other one can be the lack of selectivity of the filters I used for that pattern in the scan.

Reversely, the -+3 vicinity search on puzzles passing the serate dynamic level has been highly productive. That pattern has plenty of puzzles in that group.

I stopped the process with 36600 puzzles rating skfr 9.9 and more, a huge number. Among them 36413 where new seeds to use later.

I got 207 puzzles having a skfr rating passing the filter for the potential hardest data base, to be compared to the 168 I got from the game

I have no new 11.x rating, so likely, there is only one.

In line with the ratio of new seeds,out of the 207 puzzles, 177 are new.

The best hypothesis I can do, after the search made by blue and me, is that that pattern has still a very high potential in the range 10.0 10.7.

Another remark, in the same direction, as noticed by blue, is that the pattern of the game 216 behaved in a very different way.

Surely, the game 215 could have been played using only seeds passing serate's dynamic level, in the game 216, this would have been a very scarce resource.
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Re: Patterns Game Strategies

Postby champagne » Tue Dec 17, 2013 6:00 pm

I am interested in the results of the game 218.

That pattern is the source of 4 puzzles in the potential hardest data base rating respectively (serate ratings)

11.0 11.0 10.5
10.7 10.7 9.4
diamonds 10.5 and 10.4

None of these puzzles have any of the identified "exotic pattern", but this was also the situation in the game 215

Having changed recently my code, I played the game on my side;

At day 3, I have only one 10.7, but nearly 20K puzzles rating more than 9.2 waiting for the rating.


Other players did not pass so far 10.3 although I have in cache nearly all diamonds from 8.2 to 10.6.

I see several problems in that pattern.

In the vicinity search, it is very hard to focus on the ratings over 9.2
In the high side, it seems that a vicinity +-3 is relatively poor.

I intensively used the vicinity +-4, but this is already much longer and then, the generation produces millions of puzzles.
And the total number of puzzles rating 9.2 and more I got is widely over 30 000.

In such conditions, finding high ratings requires clearly the adequate bundle of programs.

I don't know if the highest rating will come soon on my side.
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Re: Patterns Game Strategies

Postby ronk » Tue Dec 17, 2013 7:21 pm

[withdrawn]
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Re: Patterns Game Strategies

Postby champagne » Thu Dec 19, 2013 10:22 am

More comments on the game 218

Using my classical tools, I got plenty of puzzles with high ratings.

I noticed that a significant part of my highest ratings had the following pattern in mintext form

Code: Select all
 .1. .2. 3..
 a.. a.. .a.
 ..6 ..7 ..b

 .b. .b. ..b
 b.. b.. .b.
 ..7 ..6 ...

 b.. ... ...
 .b. .b. .b.
 ..b b.. ..b


where "a" could not be more than 5 (due to the mintext form)
and "b" could not be 6 nor 7




in fact, there are also other restrictions in stack 1, to stay within the mintext form, but not so easy to write.

I launched yesterday evening a first batch to scan the pattern with such properties. I am rating a first lot covering about 50% of the field, and it seems that the ratio of high ratings is very high.

I made some investigations to figure out why this was such a promising constraint. I thought of an almost sk loop pattern, but it is not.

I should have a better view on that by to-morrow.
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Re: Patterns Game Strategies

Postby dobrichev » Thu Dec 19, 2013 9:17 pm

In searching for hard "cores" you can apply the method applied to 17-clue puzzles by gsf and later by blue.

Take a set of hard puzzles.
Do {-1}, transform to canonical representation, match, and see clusters at {-1+1} distance.
Repeat and see clusters at {-2+2} distance, etc.
Removing a clue from "core" will lead to fragmentation - small sized clusters. In opposite, removing "padding" clues will lead to large clusters with core included in the survived clues.
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Re: Patterns Game Strategies

Postby champagne » Fri Dec 20, 2013 8:23 am

Hi Mladen,

Reading your post, I see the necessity to separate clearly 2 issues (an may be 3)

a) When you have a core hard pattern, can you explain why it is hard.
b) having a lot of hard puzzles with the same pattern, can you find the "core hard sub patterns"

but, as we assume here that we already have hard puzzles

c) in a game is the point b) of interest.

In the game 218, I reached the point a).

You are more if I understand in point b). In the game 218, the sub pattern I described was somehow evident. In the game 215, I saw nothing.

I am not familiar with the use of unavoidable sets and I have no code to go in that way, so I have some difficulties to guess how fast would be such a process.

What is for sure is that, in the middle of a game, finding quickly areas of interest can be one way to find fresh seed to start local scans.
Out of the game, as in the closed game 215, extracting promising sub patterns can help to understand where hard puzzles are coming from.

In a game (point c) we have to find the fastest way to go ahead. Using seeds out of puzzles having a high ED is somehow a blind mode to re use "core hard sub patterns". So far, it seems a very efficient process.


I would be interested in seeing the results of such a process on the game 215.

Do you have the adequate code
what should be the size of the lot of puzzles to test (unhappily I keep a limited number of puzzles).


back to point a, I am running the scan on the selected sub pattern.
The generation is done and used about one core one day, but I got about 37 millions puzzles (after gridcheker's cleaning step)
I am pre rating that file and I think to get between 30k and 40 k puzzles rating 9.3 and more (minimum serate dynamic plus rules)

I have no idea so far about the percentage of new puzzles in that lot, but this is in line with my early expectation. It is a huge amount for such a simple sub pattern. As far as I could see,that sub pattern should cover about 50 % of the hardest puzzles found in the game. For the other puzzles, as in the game 215, I did not see clearly where is/are the key sub patterns
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Statistics and ratings

Postby GouinJP » Sat Jan 11, 2014 10:05 am

statistics for the Patterns Game (number of occurence and ratings): Show
    191 1.2/1.2/1.2
    126 1.5/1.2/1.2
    146 1.5/1.5/1.5
    143 1.7/1.2/1.2
    112 1.7/1.5/1.5
    12 1.7/1.7/1.7
    59 2.0/1.2/1.2
    19 2.0/1.5/1.5
    185 2.0/2.0/2.0
    88 2.3/1.2/1.2
    13 2.3/1.5/1.5
    1 2.3/1.7/1.7
    83 2.3/2.0/2.0
    96 2.3/2.3/2.3
    43 2.5/1.2/1.2
    11 2.5/1.5/1.5
    17 2.5/2.0/2.0
    10 2.5/2.3/2.3
    152 2.5/2.5/2.5
    47 2.6/1.2/1.2
    14 2.6/1.5/1.5
    1 2.6/1.7/1.7
    40 2.6/2.0/2.0
    5 2.6/2.3/2.3
    60 2.6/2.5/2.5
    106 2.6/2.6/2.6
    36 2.8/1.2/1.2
    5 2.8/1.5/1.5
    3 2.8/1.7/1.7
    19 2.8/2.0/2.0
    6 2.8/2.3/2.3
    7 2.8/2.5/2.5
    13 2.8/2.6/2.6
    22 2.8/2.8/2.6
    141 2.8/2.8/2.8
    37 3.0/1.2/1.2
    5 3.0/1.5/1.5
    1 3.0/1.7/1.7
    13 3.0/2.0/2.0
    5 3.0/2.3/2.3
    4 3.0/2.5/2.5
    5 3.0/2.6/2.6
    2 3.0/2.8/2.6
    7 3.0/2.8/2.8
    30 3.0/3.0/2.6
    5 3.0/3.0/2.8
    145 3.0/3.0/3.0
    59 3.2/1.2/1.2
    8 3.2/1.5/1.5
    3 3.2/1.7/1.7
    25 3.2/2.0/2.0
    9 3.2/2.3/2.3
    10 3.2/2.5/2.5
    9 3.2/2.6/2.6
    6 3.2/2.8/2.6
    18 3.2/2.8/2.8
    12 3.2/3.0/2.6
    3 3.2/3.0/2.8
    35 3.2/3.0/3.0
    30 3.2/3.2/2.6
    10 3.2/3.2/2.8
    26 3.2/3.2/3.0
    68 3.2/3.2/3.2
    24 3.4/1.2/1.2
    4 3.4/1.5/1.5
    1 3.4/1.7/1.7
    6 3.4/2.0/2.0
    4 3.4/2.3/2.3
    3 3.4/2.5/2.5
    3 3.4/2.6/2.6
    2 3.4/2.8/2.6
    2 3.4/3.0/2.6
    1 3.4/3.2/2.6
    28 3.4/3.4/2.6
    5 3.4/3.4/2.8
    1 3.4/3.4/3.0
    1 3.4/3.4/3.2
    163 3.4/3.4/3.4
    30 3.6/1.2/1.2
    6 3.6/1.5/1.5
    2 3.6/1.7/1.7
    7 3.6/2.0/2.0
    4 3.6/2.3/2.3
    2 3.6/2.5/2.5
    6 3.6/2.6/2.6
    3 3.6/2.8/2.6
    2 3.6/2.8/2.8
    3 3.6/3.0/2.6
    1 3.6/3.2/2.6
    1 3.6/3.2/3.2
    3 3.6/3.4/2.6
    4 3.6/3.4/3.4
    24 3.6/3.6/2.6
    2 3.6/3.6/2.8
    3 3.6/3.6/3.0
    2 3.6/3.6/3.2
    19 3.6/3.6/3.4
    141 3.6/3.6/3.6
    44 3.8/1.2/1.2
    9 3.8/1.5/1.5
    1 3.8/1.7/1.7
    16 3.8/2.0/2.0
    9 3.8/2.3/2.3
    6 3.8/2.5/2.5
    6 3.8/2.6/2.6
    4 3.8/2.8/2.6
    5 3.8/2.8/2.8
    3 3.8/3.0/2.6
    1 3.8/3.0/2.8
    4 3.8/3.0/3.0
    4 3.8/3.2/2.6
    11 3.8/3.4/2.6
    1 3.8/3.4/2.8
    17 3.8/3.4/3.4
    6 3.8/3.6/2.6
    1 3.8/3.6/2.8
    1 3.8/3.6/3.0
    3 3.8/3.6/3.4
    5 3.8/3.6/3.6
    26 3.8/3.8/2.6
    4 3.8/3.8/2.8
    7 3.8/3.8/3.0
    1 3.8/3.8/3.2
    30 3.8/3.8/3.4
    6 3.8/3.8/3.6
    81 3.8/3.8/3.8
    51 4.0/1.2/1.2
    4 4.0/1.5/1.5
    1 4.0/1.7/1.7
    13 4.0/2.0/2.0
    6 4.0/2.3/2.3
    3 4.0/2.5/2.5
    3 4.0/2.6/2.6
    4 4.0/2.8/2.6
    3 4.0/2.8/2.8
    3 4.0/3.0/2.6
    1 4.0/3.0/3.0
    1 4.0/3.2/2.6
    6 4.0/3.4/2.6
    1 4.0/3.4/2.8
    3 4.0/3.4/3.4
    2 4.0/3.6/2.6
    1 4.0/3.6/2.8
    1 4.0/3.6/3.2
    1 4.0/3.6/3.4
    3 4.0/3.6/3.6
    1 4.0/3.8/3.4
    5 4.0/3.8/3.8
    27 4.0/4.0/2.6
    9 4.0/4.0/2.8
    8 4.0/4.0/3.0
    3 4.0/4.0/3.2
    28 4.0/4.0/3.4
    5 4.0/4.0/3.6
    18 4.0/4.0/3.8
    88 4.0/4.0/4.0
    28 4.2/1.2/1.2
    5 4.2/1.5/1.5
    3 4.2/1.7/1.7
    8 4.2/2.0/2.0
    3 4.2/2.3/2.3
    3 4.2/2.5/2.5
    6 4.2/2.6/2.6
    3 4.2/2.8/2.6
    4 4.2/2.8/2.8
    4 4.2/3.0/2.6
    1 4.2/3.0/2.8
    5 4.2/3.0/3.0
    3 4.2/3.2/2.6
    2 4.2/3.2/3.2
    8 4.2/3.4/2.6
    1 4.2/3.4/2.8
    1 4.2/3.4/3.0
    1 4.2/3.4/3.2
    13 4.2/3.4/3.4
    5 4.2/3.6/2.6
    1 4.2/3.6/2.8
    2 4.2/3.6/3.0
    2 4.2/3.6/3.2
    3 4.2/3.6/3.4
    10 4.2/3.6/3.6
    3 4.2/3.8/2.6
    1 4.2/3.8/2.8
    1 4.2/3.8/3.0
    4 4.2/3.8/3.4
    2 4.2/3.8/3.6
    13 4.2/3.8/3.8
    9 4.2/4.0/2.6
    1 4.2/4.0/2.8
    1 4.2/4.0/3.0
    3 4.2/4.0/3.4
    1 4.2/4.0/3.6
    2 4.2/4.0/3.8
    7 4.2/4.0/4.0
    42 4.2/4.2/2.6
    9 4.2/4.2/2.8
    10 4.2/4.2/3.0
    6 4.2/4.2/3.2
    41 4.2/4.2/3.4
    4 4.2/4.2/3.6
    17 4.2/4.2/3.8
    5 4.2/4.2/4.0
    91 4.2/4.2/4.2
    34 4.4/1.2/1.2
    6 4.4/1.5/1.5
    3 4.4/1.7/1.7
    17 4.4/2.0/2.0
    4 4.4/2.3/2.3
    6 4.4/2.5/2.5
    7 4.4/2.6/2.6
    3 4.4/2.8/2.6
    8 4.4/2.8/2.8
    3 4.4/3.0/2.6
    6 4.4/3.0/3.0
    2 4.4/3.2/2.6
    1 4.4/3.2/3.2
    10 4.4/3.4/2.6
    2 4.4/3.4/2.8
    2 4.4/3.4/3.0
    1 4.4/3.4/3.2
    9 4.4/3.4/3.4
    5 4.4/3.6/2.6
    3 4.4/3.6/2.8
    1 4.4/3.6/3.0
    4 4.4/3.6/3.4
    9 4.4/3.6/3.6
    4 4.4/3.8/2.6
    1 4.4/3.8/2.8
    1 4.4/3.8/3.0
    4 4.4/3.8/3.4
    1 4.4/3.8/3.6
    12 4.4/3.8/3.8
    6 4.4/4.0/2.6
    3 4.4/4.0/3.8
    5 4.4/4.0/4.0
    6 4.4/4.2/2.6
    2 4.4/4.2/3.4
    1 4.4/4.2/3.8
    2 4.4/4.2/4.0
    35 4.4/4.4/2.6
    5 4.4/4.4/2.8
    5 4.4/4.4/3.0
    2 4.4/4.4/3.2
    27 4.4/4.4/3.4
    3 4.4/4.4/3.6
    12 4.4/4.4/3.8
    3 4.4/4.4/4.0
    4 4.4/4.4/4.2
    84 4.4/4.4/4.4
    28 4.5/1.2/1.2
    6 4.5/1.5/1.5
    3 4.5/1.7/1.7
    20 4.5/2.0/2.0
    3 4.5/2.3/2.3
    4 4.5/2.5/2.5
    9 4.5/2.6/2.6
    4 4.5/2.8/2.6
    7 4.5/2.8/2.8
    5 4.5/3.0/2.6
    2 4.5/3.0/2.8
    6 4.5/3.0/3.0
    3 4.5/3.2/2.6
    1 4.5/3.2/2.8
    3 4.5/3.2/3.2
    4 4.5/3.4/2.6
    1 4.5/3.4/2.8
    3 4.5/3.4/3.0
    17 4.5/3.4/3.4
    6 4.5/3.6/2.6
    4 4.5/3.6/2.8
    1 4.5/3.6/3.0
    4 4.5/3.6/3.4
    14 4.5/3.6/3.6
    3 4.5/3.8/2.6
    1 4.5/3.8/2.8
    1 4.5/3.8/3.2
    5 4.5/3.8/3.4
    17 4.5/3.8/3.8
    7 4.5/4.0/2.6
    1 4.5/4.0/2.8
    4 4.5/4.0/3.4
    2 4.5/4.0/3.6
    3 4.5/4.0/3.8
    6 4.5/4.0/4.0
    12 4.5/4.2/2.6
    2 4.5/4.2/2.8
    3 4.5/4.2/3.0
    8 4.5/4.2/3.4
    1 4.5/4.2/3.8
    2 4.5/4.2/4.0
    6 4.5/4.2/4.2
    5 4.5/4.4/2.6
    1 4.5/4.4/2.8
    5 4.5/4.4/3.4
    1 4.5/4.4/3.8
    6 4.5/4.4/4.4
    46 4.5/4.5/2.6
    22 4.5/4.5/2.8
    10 4.5/4.5/3.0
    1 4.5/4.5/3.2
    86 4.5/4.5/3.4
    19 4.5/4.5/3.6
    7 4.5/4.5/3.8
    8 4.5/4.5/4.0
    2 4.5/4.5/4.4
    68 4.6/1.2/1.2
    5 4.6/1.5/1.5
    2 4.6/1.7/1.7
    23 4.6/2.0/2.0
    7 4.6/2.3/2.3
    6 4.6/2.5/2.5
    13 4.6/2.6/2.6
    8 4.6/2.8/2.6
    8 4.6/2.8/2.8
    6 4.6/3.0/2.6
    3 4.6/3.0/2.8
    9 4.6/3.0/3.0
    2 4.6/3.2/2.6
    1 4.6/3.2/3.2
    15 4.6/3.4/2.6
    3 4.6/3.4/2.8
    2 4.6/3.4/3.0
    2 4.6/3.4/3.2
    14 4.6/3.4/3.4
    7 4.6/3.6/2.6
    1 4.6/3.6/2.8
    1 4.6/3.6/3.0
    2 4.6/3.6/3.4
    10 4.6/3.6/3.6
    4 4.6/3.8/2.6
    3 4.6/3.8/3.4
    14 4.6/3.8/3.8
    7 4.6/4.0/2.6
    2 4.6/4.0/3.4
    3 4.6/4.0/4.0
    6 4.6/4.2/2.6
    1 4.6/4.2/2.8
    3 4.6/4.2/3.0
    7 4.6/4.2/3.4
    1 4.6/4.2/4.0
    3 4.6/4.2/4.2
    2 4.6/4.4/2.6
    1 4.6/4.4/4.4
    2 4.6/4.5/2.6
    3 4.6/4.5/2.8
    1 4.6/4.5/3.0
    1 4.6/4.5/3.2
    2 4.6/4.5/3.4
    33 4.6/4.6/2.6
    4 4.6/4.6/2.8
    9 4.6/4.6/3.0
    2 4.6/4.6/3.2
    69 4.6/4.6/3.4
    5 4.6/4.6/3.6
    4 4.6/4.6/3.8
    3 4.6/4.6/4.0
    1 4.6/4.6/4.6
    89 4.7/1.2/1.2
    11 4.7/1.5/1.5
    1 4.7/1.7/1.7
    34 4.7/2.0/2.0
    10 4.7/2.3/2.3
    5 4.7/2.5/2.5
    10 4.7/2.6/2.6
    1 4.7/2.8/2.6
    6 4.7/2.8/2.8
    3 4.7/3.0/2.6
    2 4.7/3.0/2.8
    5 4.7/3.0/3.0
    1 4.7/3.2/2.6
    1 4.7/3.2/3.2
    7 4.7/3.4/2.6
    2 4.7/3.4/3.0
    13 4.7/3.4/3.4
    5 4.7/3.6/2.6
    1 4.7/3.6/3.0
    3 4.7/3.6/3.4
    7 4.7/3.6/3.6
    2 4.7/3.8/2.6
    6 4.7/3.8/3.4
    4 4.7/3.8/3.8
    3 4.7/4.0/2.6
    1 4.7/4.0/3.4
    1 4.7/4.0/3.6
    2 4.7/4.2/2.6
    1 4.7/4.2/3.0
    1 4.7/4.2/3.4
    2 4.7/4.4/2.6
    1 4.7/4.4/3.4
    1 4.7/4.4/4.4
    1 4.7/4.5/2.6
    1 4.7/4.5/3.0
    2 4.7/4.5/3.4
    1 4.7/4.6/2.6
    1 4.7/4.6/3.0
    22 4.7/4.7/2.6
    4 4.7/4.7/2.8
    9 4.7/4.7/3.0
    63 4.7/4.7/3.4
    3 4.7/4.7/3.6
    1 4.7/4.7/3.8
    1 4.7/4.7/4.0
    1 4.7/4.7/4.7
    61 4.8/1.2/1.2
    9 4.8/1.5/1.5
    3 4.8/1.7/1.7
    16 4.8/2.0/2.0
    4 4.8/2.3/2.3
    5 4.8/2.5/2.5
    7 4.8/2.6/2.6
    5 4.8/2.8/2.8
    4 4.8/3.0/2.6
    3 4.8/3.0/3.0
    3 4.8/3.4/2.6
    2 4.8/3.4/2.8
    2 4.8/3.4/3.0
    4 4.8/3.4/3.4
    3 4.8/3.6/2.6
    1 4.8/3.8/2.6
    1 4.8/3.8/3.4
    1 4.8/3.8/3.8
    1 4.8/4.0/4.0
    1 4.8/4.2/3.0
    4 4.8/4.5/2.6
    2 4.8/4.5/3.4
    9 4.8/4.8/2.6
    1 4.8/4.8/2.8
    4 4.8/4.8/3.0
    6 4.8/4.8/3.4
    26 4.9/1.2/1.2
    1 4.9/1.5/1.5
    4 4.9/2.0/2.0
    2 4.9/2.3/2.3
    1 4.9/2.5/2.5
    2 4.9/2.6/2.6
    1 4.9/2.8/2.6
    2 4.9/3.0/2.6
    1 4.9/3.0/3.0
    2 4.9/3.4/2.6
    2 4.9/3.6/3.6
    1 4.9/3.8/2.6
    1 4.9/4.2/2.6
    1 4.9/4.5/3.4
    1 4.9/4.7/2.8
    93 5.0/1.2/1.2
    11 5.0/1.5/1.5
    2 5.0/1.7/1.7
    23 5.0/2.0/2.0
    9 5.0/2.3/2.3
    4 5.0/2.5/2.5
    9 5.0/2.6/2.6
    5 5.0/2.8/2.6
    11 5.0/2.8/2.8
    4 5.0/3.0/2.6
    1 5.0/3.0/2.8
    5 5.0/3.0/3.0
    1 5.0/3.2/2.8
    1 5.0/3.2/3.2
    10 5.0/3.4/2.6
    1 5.0/3.4/3.0
    1 5.0/3.4/3.2
    15 5.0/3.4/3.4
    5 5.0/3.6/2.6
    1 5.0/3.6/2.8
    3 5.0/3.6/3.4
    3 5.0/3.6/3.6
    2 5.0/3.8/3.2
    1 5.0/3.8/3.4
    1 5.0/3.8/3.6
    2 5.0/3.8/3.8
    2 5.0/4.0/2.6
    1 5.0/4.0/4.0
    4 5.0/4.2/2.6
    1 5.0/4.2/3.0
    1 5.0/4.2/4.2
    1 5.0/4.4/2.6
    1 5.0/4.4/3.4
    2 5.0/4.5/2.6
    2 5.0/4.5/3.4
    1 5.0/4.7/3.4
    18 5.0/5.0/2.6
    12 5.0/5.0/2.8
    5 5.0/5.0/3.0
    3 5.0/5.0/3.2
    11 5.0/5.0/3.4
    8 5.0/5.0/3.6
    4 5.0/5.0/3.8
    1 5.0/5.0/4.0
    3 5.0/5.0/4.2
    1 5.0/5.0/4.4
    7 5.0/5.0/5.0
    11 5.1/1.2/1.2
    1 5.1/3.4/2.6
    105 5.2/1.2/1.2
    11 5.2/1.5/1.5
    1 5.2/1.7/1.7
    42 5.2/2.0/2.0
    1 5.2/2.3/2.3
    13 5.2/2.5/2.5
    12 5.2/2.6/2.6
    1 5.2/2.8/2.6
    10 5.2/2.8/2.8
    7 5.2/3.0/2.6
    1 5.2/3.0/2.8
    8 5.2/3.0/3.0
    11 5.2/3.4/2.6
    3 5.2/3.4/2.8
    2 5.2/3.4/3.0
    19 5.2/3.4/3.4
    9 5.2/3.6/2.6
    5 5.2/3.6/3.4
    6 5.2/3.6/3.6
    4 5.2/3.8/2.6
    1 5.2/3.8/3.0
    5 5.2/3.8/3.4
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    5 5.2/4.0/2.6
    1 5.2/4.0/2.8
    3 5.2/4.0/3.4
    1 5.2/4.0/4.0
    3 5.2/4.2/2.6
    2 5.2/4.2/3.4
    4 5.2/4.4/2.6
    4 5.2/4.5/2.8
    1 5.2/4.5/3.4
    1 5.2/4.7/3.4
    5 5.2/5.2/2.6
    1 5.2/5.2/3.0
    12 5.2/5.2/3.4
    2 5.2/5.2/3.6
    1 5.2/5.2/3.8
    5 5.2/5.2/5.2
    9 5.4/1.2/1.2
    1 5.4/1.5/1.5
    4 5.4/2.0/2.0
    2 5.4/2.3/2.3
    3 5.4/2.5/2.5
    1 5.4/2.6/2.6
    1 5.4/2.8/2.6
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    1 5.4/3.4/3.0
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    1 5.4/3.6/2.6
    1 5.4/3.6/3.4
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    3 5.4/4.0/2.6
    1 5.4/4.0/4.0
    1 5.4/4.2/2.6
    1 5.4/4.2/2.8
    1 5.4/4.2/4.2
    13 5.4/5.4/2.6
    2 5.4/5.4/2.8
    4 5.4/5.4/3.0
    1 5.4/5.4/3.2
    2 5.4/5.4/3.4
    1 5.4/5.4/4.4
    1 5.4/5.4/5.2
    9 5.4/5.4/5.4
    54 5.6/1.2/1.2
    7 5.6/1.5/1.5
    3 5.6/1.7/1.7
    24 5.6/2.0/2.0
    5 5.6/2.3/2.3
    7 5.6/2.5/2.5
    16 5.6/2.6/2.6
    8 5.6/2.8/2.6
    12 5.6/2.8/2.8
    9 5.6/3.0/2.6
    6 5.6/3.0/3.0
    2 5.6/3.2/2.6
    2 5.6/3.2/3.2
    22 5.6/3.4/2.6
    2 5.6/3.4/2.8
    1 5.6/3.4/3.0
    25 5.6/3.4/3.4
    10 5.6/3.6/2.6
    3 5.6/3.6/2.8
    2 5.6/3.6/3.0
    1 5.6/3.6/3.2
    4 5.6/3.6/3.4
    17 5.6/3.6/3.6
    5 5.6/3.8/2.6
    1 5.6/3.8/3.0
    1 5.6/3.8/3.2
    6 5.6/3.8/3.4
    1 5.6/3.8/3.6
    19 5.6/3.8/3.8
    9 5.6/4.0/2.6
    1 5.6/4.0/2.8
    1 5.6/4.0/3.0
    3 5.6/4.0/3.4
    1 5.6/4.0/3.6
    3 5.6/4.0/3.8
    6 5.6/4.0/4.0
    19 5.6/4.2/2.6
    3 5.6/4.2/2.8
    5 5.6/4.2/3.0
    1 5.6/4.2/3.2
    12 5.6/4.2/3.4
    3 5.6/4.2/3.6
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    7 5.6/4.2/4.2
    9 5.6/4.4/2.6
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    1 5.6/4.4/3.2
    6 5.6/4.4/3.4
    2 5.6/4.4/3.8
    4 5.6/4.4/4.4
    18 5.6/4.5/2.6
    9 5.6/4.5/2.8
    6 5.6/4.5/3.0
    2 5.6/4.5/3.2
    22 5.6/4.5/3.4
    1 5.6/4.5/3.6
    8 5.6/4.6/2.6
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    1 5.6/4.6/3.2
    9 5.6/4.6/3.4
    2 5.6/4.7/2.6
    13 5.6/4.7/3.4
    4 5.6/5.0/2.6
    2 5.6/5.0/2.8
    2 5.6/5.0/3.0
    1 5.6/5.0/3.2
    4 5.6/5.0/3.4
    2 5.6/5.0/3.6
    2 5.6/5.0/3.8
    3 5.6/5.0/5.0
    1 5.6/5.2/2.8
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    1 5.6/5.4/2.6
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    3 5.6/5.4/3.4
    3 5.6/5.4/5.4
    62 5.7/1.2/1.2
    8 5.7/1.5/1.5
    1 5.7/1.7/1.7
    24 5.7/2.0/2.0
    12 5.7/2.3/2.3
    5 5.7/2.5/2.5
    18 5.7/2.6/2.6
    6 5.7/2.8/2.6
    15 5.7/2.8/2.8
    3 5.7/3.0/2.6
    1 5.7/3.0/2.8
    7 5.7/3.0/3.0
    3 5.7/3.2/2.6
    1 5.7/3.2/2.8
    3 5.7/3.2/3.2
    14 5.7/3.4/2.6
    5 5.7/3.4/2.8
    2 5.7/3.4/3.0
    23 5.7/3.4/3.4
    11 5.7/3.6/2.6
    5 5.7/3.6/2.8
    1 5.7/3.6/3.0
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    5 5.7/3.6/3.4
    17 5.7/3.6/3.6
    4 5.7/3.8/2.6
    1 5.7/3.8/3.0
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    6 5.7/3.8/3.4
    1 5.7/3.8/3.6
    17 5.7/3.8/3.8
    13 5.7/4.0/2.6
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    1 5.7/4.0/3.4
    1 5.7/4.0/3.6
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    10 5.7/4.2/2.6
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    1 5.7/4.2/3.2
    12 5.7/4.2/3.4
    1 5.7/4.2/3.6
    4 5.7/4.2/3.8
    1 5.7/4.2/4.0
    5 5.7/4.2/4.2
    5 5.7/4.4/2.6
    2 5.7/4.4/2.8
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    1 5.7/4.4/3.2
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    1 5.7/4.4/3.6
    1 5.7/4.4/4.0
    1 5.7/4.4/4.4
    10 5.7/4.5/2.6
    10 5.7/4.5/2.8
    8 5.7/4.5/3.0
    1 5.7/4.5/3.2
    15 5.7/4.5/3.4
    1 5.7/4.5/3.6
    7 5.7/4.6/2.6
    1 5.7/4.6/3.4
    1 5.7/4.7/2.6
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    4 5.7/4.7/3.4
    2 5.7/5.0/2.6
    2 5.7/5.0/2.8
    1 5.7/5.0/3.0
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    1 5.7/5.2/3.0
    1 5.7/5.2/3.4
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    1 5.7/5.4/5.4
    104 5.8/1.2/1.2
    11 5.8/1.5/1.5
    22 5.8/2.0/2.0
    9 5.8/2.3/2.3
    6 5.8/2.5/2.5
    11 5.8/2.6/2.6
    1 5.8/2.8/2.6
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    5 5.8/3.0/2.6
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    1 5.8/3.2/2.6
    7 5.8/3.4/2.6
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    2 5.8/3.4/3.0
    15 5.8/3.4/3.4
    5 5.8/3.6/2.6
    2 5.8/3.6/2.8
    4 5.8/3.6/3.0
    3 5.8/3.6/3.4
    6 5.8/3.6/3.6
    1 5.8/3.8/2.6
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    1 5.8/3.8/3.4
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    2 5.8/4.4/2.6
    1 5.8/4.4/2.8
    1 5.8/4.4/4.4
    2 5.8/4.5/2.6
    98 5.9/1.2/1.2
    11 5.9/1.5/1.5
    2 5.9/1.7/1.7
    24 5.9/2.0/2.0
    8 5.9/2.3/2.3
    6 5.9/2.5/2.5
    10 5.9/2.6/2.6
    1 5.9/2.8/2.6
    4 5.9/2.8/2.8
    5 5.9/3.0/2.6
    3 5.9/3.0/3.0
    1 5.9/3.2/2.6
    1 5.9/3.2/2.8
    9 5.9/3.4/2.6
    6 5.9/3.4/3.4
    4 5.9/3.6/2.6
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    2 5.9/3.8/3.4
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    3 5.9/4.0/2.6
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    2 5.9/4.2/2.6
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    1 5.9/4.2/3.4
    1 5.9/4.4/2.6
    1 5.9/4.4/4.4
    63 6.0/1.2/1.2
    4 6.0/1.5/1.5
    12 6.0/2.0/2.0
    2 6.0/2.3/2.3
    1 6.0/2.5/2.5
    8 6.0/2.6/2.6
    3 6.0/2.8/2.8
    1 6.0/3.0/3.0
    1 6.0/3.2/2.6
    3 6.0/3.4/2.6
    3 6.0/3.4/3.4
    2 6.0/3.6/2.6
    1 6.0/4.4/2.6
    1 6.0/4.5/2.6
    14 6.1/1.2/1.2
    2 6.1/1.5/1.5
    6 6.1/2.0/2.0
    1 6.1/2.3/2.3
    1 6.1/3.4/3.4
    1 6.1/3.6/2.6
    1 6.1/5.2/5.2
    73 6.2/1.2/1.2
    17 6.2/1.5/1.5
    1 6.2/1.7/1.7
    21 6.2/2.0/2.0
    7 6.2/2.3/2.3
    5 6.2/2.5/2.5
    10 6.2/2.6/2.6
    2 6.2/2.8/2.6
    12 6.2/2.8/2.8
    5 6.2/3.0/2.6
    3 6.2/3.0/3.0
    3 6.2/3.2/2.6
    6 6.2/3.4/2.6
    3 6.2/3.4/3.0
    11 6.2/3.4/3.4
    4 6.2/3.6/2.6
    1 6.2/3.6/2.8
    2 6.2/3.6/3.4
    10 6.2/3.6/3.6
    3 6.2/3.8/2.6
    1 6.2/3.8/2.8
    4 6.2/3.8/3.4
    1 6.2/3.8/3.6
    11 6.2/3.8/3.8
    4 6.2/4.0/2.6
    1 6.2/4.0/3.0
    1 6.2/4.0/4.0
    4 6.2/4.2/2.6
    1 6.2/4.2/3.0
    7 6.2/4.2/3.4
    1 6.2/4.2/3.8
    1 6.2/4.2/4.2
    1 6.2/4.4/3.4
    2 6.2/4.5/2.6
    1 6.2/4.5/3.0
    1 6.2/4.5/3.4
    1 6.2/4.6/3.4
    1 6.2/5.2/3.2
    1 6.2/5.2/5.2
    28 6.2/6.2/2.6
    5 6.2/6.2/2.8
    5 6.2/6.2/3.0
    2 6.2/6.2/3.2
    16 6.2/6.2/3.4
    2 6.2/6.2/3.6
    6 6.2/6.2/3.8
    1 6.2/6.2/4.0
    1 6.2/6.2/4.4
    40 6.2/6.2/6.2
    80 6.5/1.2/1.2
    14 6.5/1.5/1.5
    3 6.5/1.7/1.7
    32 6.5/2.0/2.0
    7 6.5/2.3/2.3
    6 6.5/2.5/2.5
    16 6.5/2.6/2.6
    3 6.5/2.8/2.6
    15 6.5/2.8/2.8
    4 6.5/3.0/2.6
    1 6.5/3.0/2.8
    6 6.5/3.0/3.0
    3 6.5/3.2/2.6
    1 6.5/3.2/3.2
    17 6.5/3.4/2.6
    6 6.5/3.4/2.8
    2 6.5/3.4/3.0
    1 6.5/3.4/3.2
    17 6.5/3.4/3.4
    5 6.5/3.6/2.6
    1 6.5/3.6/3.0
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    5 6.5/3.6/3.4
    12 6.5/3.6/3.6
    7 6.5/3.8/2.6
    1 6.5/3.8/3.2
    3 6.5/3.8/3.4
    2 6.5/3.8/3.6
    11 6.5/3.8/3.8
    9 6.5/4.0/2.6
    2 6.5/4.0/3.4
    1 6.5/4.0/3.8
    3 6.5/4.0/4.0
    5 6.5/4.2/2.6
    1 6.5/4.2/2.8
    4 6.5/4.2/3.0
    5 6.5/4.2/3.4
    3 6.5/4.2/3.8
    1 6.5/4.2/4.0
    3 6.5/4.2/4.2
    3 6.5/4.4/2.6
    1 6.5/4.4/2.8
    1 6.5/4.4/3.0
    1 6.5/4.4/3.8
    3 6.5/4.4/4.4
    4 6.5/4.5/2.6
    1 6.5/4.5/2.8
    2 6.5/4.5/3.0
    1 6.5/4.5/3.2
    6 6.5/4.5/3.4
    2 6.5/4.6/2.6
    1 6.5/4.7/3.0
    2 6.5/4.7/3.4
    1 6.5/5.0/3.0
    1 6.5/5.0/3.4
    1 6.5/5.0/3.8
    1 6.5/5.4/2.6
    1 6.5/5.4/3.0
    13 6.5/6.5/2.6
    7 6.5/6.5/3.0
    5 6.5/6.5/3.4
    4 6.5/6.5/3.6
    1 6.5/6.5/3.8
    19 6.6/1.2/1.2
    4 6.6/1.5/1.5
    1 6.6/1.7/1.7
    10 6.6/2.0/2.0
    3 6.6/2.3/2.3
    3 6.6/2.5/2.5
    3 6.6/2.6/2.6
    3 6.6/2.8/2.6
    6 6.6/2.8/2.8
    3 6.6/3.0/2.6
    3 6.6/3.0/3.0
    2 6.6/3.2/2.6
    1 6.6/3.2/3.2
    4 6.6/3.4/2.6
    2 6.6/3.4/2.8
    1 6.6/3.4/3.2
    10 6.6/3.4/3.4
    4 6.6/3.6/2.6
    1 6.6/3.6/2.8
    3 6.6/3.6/3.4
    4 6.6/3.6/3.6
    2 6.6/3.8/2.6
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    1 6.6/3.8/3.6
    7 6.6/3.8/3.8
    4 6.6/4.0/2.6
    2 6.6/4.0/2.8
    1 6.6/4.0/3.0
    2 6.6/4.0/3.8
    3 6.6/4.0/4.0
    4 6.6/4.2/2.6
    3 6.6/4.2/3.0
    1 6.6/4.2/3.4
    1 6.6/4.2/3.8
    1 6.6/4.2/4.2
    2 6.6/4.4/3.4
    1 6.6/4.4/3.8
    1 6.6/4.4/4.4
    4 6.6/4.5/2.6
    1 6.6/4.5/2.8
    1 6.6/4.5/3.0
    1 6.6/4.5/3.4
    1 6.6/4.8/2.6
    1 6.6/5.2/5.2
    1 6.6/5.4/5.2
    1 6.6/6.2/2.6
    30 6.6/6.6/2.6
    3 6.6/6.6/2.8
    6 6.6/6.6/3.0
    1 6.6/6.6/3.2
    29 6.6/6.6/3.4
    5 6.6/6.6/3.6
    6 6.6/6.6/3.8
    4 6.6/6.6/4.0
    3 6.6/6.6/4.2
    2 6.6/6.6/4.4
    1 6.6/6.6/5.2
    113 6.6/6.6/6.6
    20 6.7/1.2/1.2
    5 6.7/1.5/1.5
    2 6.7/1.7/1.7
    8 6.7/2.0/2.0
    3 6.7/2.3/2.3
    3 6.7/2.5/2.5
    5 6.7/2.6/2.6
    3 6.7/2.8/2.6
    5 6.7/2.8/2.8
    3 6.7/3.0/2.6
    1 6.7/3.0/2.8
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    1 6.7/3.2/2.6
    5 6.7/3.4/2.6
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    4 6.7/3.4/3.4
    4 6.7/3.6/2.6
    2 6.7/3.6/2.8
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    1 6.7/3.6/3.4
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    3 6.7/3.8/3.4
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    7 6.7/6.6/2.6
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    1 6.7/6.6/3.8
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    22 6.7/6.7/2.6
    3 6.7/6.7/2.8
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    32 6.7/6.7/3.4
    9 6.7/6.7/3.6
    7 6.7/6.7/3.8
    3 6.7/6.7/4.2
    1 6.7/6.7/5.2
    2 6.7/6.7/5.4
    13 6.7/6.7/6.6
    102 6.7/6.7/6.7
    40 6.8/1.2/1.2
    4 6.8/1.5/1.5
    2 6.8/1.7/1.7
    21 6.8/2.0/2.0
    3 6.8/2.3/2.3
    3 6.8/2.5/2.5
    9 6.8/2.6/2.6
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    3 6.8/3.2/2.6
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    7 6.8/3.4/2.6
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    10 6.8/6.6/2.6
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    19 6.8/6.6/6.6
    11 6.8/6.7/2.6
    3 6.8/6.7/2.8
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    19 6.8/6.7/3.4
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    1 6.8/6.7/4.2
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    29 6.8/6.7/6.7
    28 6.8/6.8/2.6
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    14 6.8/6.8/3.0
    1 6.8/6.8/3.2
    43 6.8/6.8/3.4
    7 6.8/6.8/3.6
    6 6.8/6.8/3.8
    3 6.8/6.8/4.0
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    3 6.8/6.8/4.4
    15 6.8/6.8/6.6
    5 6.8/6.8/6.7
    12 6.8/6.8/6.8
    45 6.9/1.2/1.2
    6 6.9/1.5/1.5
    2 6.9/1.7/1.7
    21 6.9/2.0/2.0
    8 6.9/2.3/2.3
    3 6.9/2.5/2.5
    10 6.9/2.6/2.6
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    13 6.9/3.4/2.6
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    8 6.9/3.4/3.4
    8 6.9/3.6/2.6
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    9 6.9/3.8/3.8
    8 6.9/4.0/2.6
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    3 6.9/4.0/3.4
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    14 6.9/6.6/2.6
    3 6.9/6.6/2.8
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    1 6.9/6.6/4.2
    17 6.9/6.6/6.6
    9 6.9/6.7/2.6
    3 6.9/6.7/2.8
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    2 6.9/6.7/3.2
    19 6.9/6.7/3.4
    3 6.9/6.7/3.6
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    7 6.9/6.7/6.6
    35 6.9/6.7/6.7
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    33 6.9/6.9/2.6
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    1 6.9/6.9/6.9
    35 7.0/1.2/1.2
    10 7.0/1.5/1.5
    2 7.0/1.7/1.7
    17 7.0/2.0/2.0
    6 7.0/2.3/2.3
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    8 7.0/2.6/2.6
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    4 7.0/3.6/2.6
    1 7.0/3.6/3.4
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    8 7.0/6.7/6.7
    34 7.0/7.0/2.6
    4 7.0/7.0/2.8
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    2 7.0/7.0/3.2
    16 7.0/7.0/3.4
    5 7.0/7.0/3.6
    14 7.0/7.0/3.8
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    1 7.0/7.0/4.2
    1 7.0/7.0/4.4
    6 7.0/7.0/6.6
    7 7.0/7.0/6.7
    92 7.0/7.0/7.0
    5 7.1/1.2/1.2
    4 7.1/1.5/1.5
    1 7.1/1.7/1.7
    6 7.1/2.0/2.0
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    3 7.1/2.6/2.6
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    1 7.1/7.0/3.4
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    23 7.1/7.1/2.6
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    21 7.1/7.1/3.4
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    23 7.1/7.1/3.8
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    5 7.1/7.1/6.6
    13 7.1/7.1/6.7
    1 7.1/7.1/7.0
    144 7.1/7.1/7.1
    7 7.2/1.2/1.2
    6 7.2/1.5/1.5
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    3 7.2/7.1/2.6
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    25 7.2/7.2/2.6
    4 7.2/7.2/2.8
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    6 7.2/7.2/3.2
    21 7.2/7.2/3.4
    24 7.2/7.2/3.8
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    9 7.2/7.2/6.7
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    19 7.2/7.2/7.1
    142 7.2/7.2/7.2
    10 7.3/1.2/1.2
    3 7.3/1.5/1.5
    1 7.3/1.7/1.7
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    4 7.3/2.6/2.6
    1 7.3/2.8/2.6
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    3 7.3/7.1/2.6
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    1 7.3/7.1/3.8
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    5 7.3/7.2/2.6
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    1 7.3/7.2/3.6
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    26 7.3/7.3/2.6
    3 7.3/7.3/2.8
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    3 7.3/7.3/3.2
    12 7.3/7.3/3.4
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    20 7.3/7.3/3.8
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    5 7.3/7.3/6.6
    12 7.3/7.3/6.7
    13 7.3/7.3/7.1
    19 7.3/7.3/7.2
    135 7.3/7.3/7.3
    11 7.4/1.2/1.2
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    4 7.4/7.1/3.4
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    3 7.4/7.3/2.6
    4 7.4/7.3/2.8
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    5 7.4/7.3/3.4
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    2 7.4/7.3/6.7
    3 7.4/7.3/7.1
    3 7.4/7.3/7.2
    3 7.4/7.3/7.3
    41 7.4/7.4/2.6
    4 7.4/7.4/2.8
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    2 7.4/7.4/3.2
    26 7.4/7.4/3.4
    1 7.4/7.4/3.6
    17 7.4/7.4/3.8
    2 7.4/7.4/4.0
    2 7.4/7.4/4.2
    1 7.4/7.4/4.4
    1 7.4/7.4/5.2
    1 7.4/7.4/5.4
    13 7.4/7.4/6.6
    19 7.4/7.4/6.7
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    28 7.4/7.4/7.1
    53 7.4/7.4/7.2
    54 7.4/7.4/7.3
    80 7.4/7.4/7.4
    18 7.5/1.2/1.2
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    32 7.5/7.5/2.6
    7 7.5/7.5/2.8
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    31 7.5/7.5/3.4
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    30 7.5/7.5/7.1
    19 7.5/7.5/7.2
    12 7.5/7.5/7.3
    91 7.5/7.5/7.5
    17 7.6/1.2/1.2
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    33 7.6/7.6/2.6
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    26 7.6/7.6/7.2
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    4 7.6/7.6/7.5
    89 7.6/7.6/7.6
    18 7.7/1.2/1.2
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    37 7.7/7.7/2.6
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    41 7.7/7.7/7.1
    45 7.7/7.7/7.2
    27 7.7/7.7/7.3
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    13 7.7/7.7/7.6
    25 7.7/7.7/7.7
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    104 7.8/7.8/7.8
    26 7.9/1.2/1.2
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    38 7.9/7.9/2.6
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    47 7.9/7.9/3.4
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    10 7.9/7.9/7.6
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    24 7.9/7.9/7.8
    14 7.9/7.9/7.9
    50 8.0/1.2/1.2
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    6 8.0/2.0/2.0
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    7 8.0/7.1/2.6
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    3 8.0/7.2/6.7
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    3 8.0/7.2/7.1
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    10 8.0/7.3/2.6
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    10 8.0/7.3/3.4
    2 8.0/7.3/3.8
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    1 8.0/7.3/7.1
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    2 8.0/7.3/7.3
    2 8.0/7.4/2.6
    2 8.0/7.4/3.4
    1 8.0/7.4/4.4
    4 8.0/7.6/3.4
    1 8.0/7.6/6.7
    1 8.0/7.6/7.1
    1 8.0/7.6/7.3
    2 8.0/7.6/7.6
    1 8.0/7.7/3.4
    1 8.0/7.7/7.2
    3 8.0/7.8/2.6
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    4 8.0/7.8/3.4
    1 8.0/7.8/3.6
    1 8.0/7.8/3.8
    1 8.0/7.8/6.6
    1 8.0/7.8/6.7
    1 8.0/7.8/7.1
    2 8.0/7.8/7.2
    1 8.0/7.8/7.6
    9 8.0/7.8/7.8
    1 8.0/7.9/2.6
    2 8.0/7.9/3.4
    1 8.0/7.9/7.1
    1 8.0/7.9/7.9
    33 8.0/8.0/2.6
    6 8.0/8.0/2.8
    13 8.0/8.0/3.0
    31 8.0/8.0/3.4
    7 8.0/8.0/3.6
    10 8.0/8.0/3.8
    1 8.0/8.0/4.4
    1 8.0/8.0/6.2
    8 8.0/8.0/6.6
    9 8.0/8.0/6.7
    1 8.0/8.0/7.0
    29 8.0/8.0/7.1
    18 8.0/8.0/7.2
    4 8.0/8.0/7.3
    2 8.0/8.0/7.5
    4 8.0/8.0/7.6
    1 8.0/8.0/7.7
    8 8.0/8.0/7.8
    2 8.0/8.0/7.9
    2 8.0/8.0/8.0
    117 8.1/1.2/1.2
    9 8.1/1.5/1.5
    3 8.1/2.0/2.0
    2 8.1/2.3/2.3
    2 8.1/2.5/2.5
    1 8.1/2.6/2.6
    2 8.1/2.8/2.8
    1 8.1/3.2/3.2
    3 8.1/3.4/2.6
    7 8.1/3.4/3.4
    1 8.1/3.6/3.6
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    1 8.1/6.7/3.0
    1 8.1/6.7/3.2
    3 8.1/6.7/3.4
    1 8.1/6.7/3.8
    3 8.1/6.7/6.7
    1 8.1/7.1/2.6
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    3 8.1/7.1/3.4
    2 8.1/7.1/6.6
    3 8.1/7.1/6.7
    2 8.1/7.1/7.1
    7 8.1/7.2/2.6
    1 8.1/7.2/3.0
    8 8.1/7.2/3.4
    2 8.1/7.2/3.8
    1 8.1/7.2/6.6
    3 8.1/7.2/6.7
    2 8.1/7.3/2.6
    7 8.1/7.3/3.4
    1 8.1/7.3/3.8
    1 8.1/7.3/6.6
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    1 8.1/7.4/3.4
    1 8.1/7.6/2.6
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    1 8.1/7.7/6.6
    1 8.1/7.8/2.8
    4 8.1/7.8/3.4
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    1 8.1/7.9/2.6
    9 8.1/8.1/2.6
    2 8.1/8.1/3.0
    9 8.1/8.1/3.4
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    1 8.1/8.1/5.4
    7 8.1/8.1/6.6
    3 8.1/8.1/7.1
    2 8.1/8.1/7.2
    1 8.1/8.1/7.6
    1 8.1/8.1/7.9
    15 8.2/1.2/1.2
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    6 8.2/2.0/2.0
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    4 8.2/2.6/2.6
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    3 8.2/7.1/3.8
    1 8.2/7.1/4.4
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    1 8.2/7.1/7.1
    4 8.2/7.2/2.6
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    1 8.2/7.2/3.6
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    3 8.2/7.3/2.6
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    3 8.2/7.3/3.4
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    1 8.2/7.3/5.4
    1 8.2/7.3/6.6
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    1 8.2/7.8/7.1
    1 8.2/7.8/7.6
    2 8.2/7.8/7.8
    2 8.2/7.9/3.4
    47 8.2/8.2/2.6
    1 8.2/8.2/2.8
    3 8.2/8.2/3.0
    5 8.2/8.2/3.2
    17 8.2/8.2/3.4
    1 8.2/8.2/3.6
    20 8.2/8.2/3.8
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    8 8.2/8.2/6.6
    13 8.2/8.2/6.7
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    13 8.2/8.2/7.1
    18 8.2/8.2/7.2
    9 8.2/8.2/7.3
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    4 8.2/8.2/7.6
    1 8.2/8.2/7.7
    17 8.2/8.2/7.8
    2 8.2/8.2/7.9
    1 8.2/8.2/8.0
    120 8.2/8.2/8.2
    10 8.3/1.2/1.2
    2 8.3/1.5/1.5
    4 8.3/2.0/2.0
    5 8.3/2.3/2.3
    5 8.3/2.6/2.6
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    1 8.3/6.7/2.6
    1 8.3/6.7/3.4
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    3 8.3/7.1/2.6
    1 8.3/7.1/2.8
    1 8.3/7.1/3.4
    1 8.3/7.1/3.8
    2 8.3/7.2/2.6
    3 8.3/7.2/3.4
    2 8.3/7.2/3.8
    2 8.3/7.2/6.7
    1 8.3/7.2/7.2
    1 8.3/7.3/2.6
    1 8.3/7.3/3.0
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    1 8.3/7.3/7.3
    1 8.3/7.4/6.7
    1 8.3/7.6/2.6
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    1 8.3/7.8/3.4
    1 8.3/7.8/3.8
    1 8.3/7.8/7.8
    1 8.3/8.2/2.6
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    1 8.3/8.2/8.2
    31 8.3/8.3/2.6
    3 8.3/8.3/2.8
    4 8.3/8.3/3.0
    4 8.3/8.3/3.2
    14 8.3/8.3/3.4
    1 8.3/8.3/3.6
    23 8.3/8.3/3.8
    3 8.3/8.3/4.0
    1 8.3/8.3/4.4
    1 8.3/8.3/5.2
    1 8.3/8.3/5.4
    6 8.3/8.3/6.6
    8 8.3/8.3/6.7
    10 8.3/8.3/7.1
    8 8.3/8.3/7.2
    5 8.3/8.3/7.3
    3 8.3/8.3/7.6
    1 8.3/8.3/7.7
    8 8.3/8.3/7.8
    2 8.3/8.3/7.9
    1 8.3/8.3/8.0
    9 8.3/8.3/8.2
    156 8.3/8.3/8.3
    11 8.4/1.2/1.2
    1 8.4/1.5/1.5
    4 8.4/2.0/2.0
    2 8.4/2.3/2.3
    3 8.4/2.6/2.6
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    3 8.4/7.1/3.4
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    1 8.4/7.1/6.7
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    1 8.4/8.3/7.3
    34 8.4/8.4/2.6
    6 8.4/8.4/2.8
    3 8.4/8.4/3.0
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    20 8.4/8.4/3.4
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    21 8.4/8.4/3.8
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    2 8.4/8.4/4.4
    1 8.4/8.4/5.2
    7 8.4/8.4/6.6
    10 8.4/8.4/6.7
    1 8.4/8.4/7.0
    8 8.4/8.4/7.1
    9 8.4/8.4/7.2
    4 8.4/8.4/7.3
    1 8.4/8.4/7.5
    3 8.4/8.4/7.6
    1 8.4/8.4/7.7
    7 8.4/8.4/7.8
    1 8.4/8.4/8.0
    2 8.4/8.4/8.2
    30 8.4/8.4/8.3
    159 8.4/8.4/8.4
    5 8.5/1.2/1.2
    4 8.5/1.5/1.5
    1 8.5/1.7/1.7
    6 8.5/2.0/2.0
    2 8.5/2.3/2.3
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    3 8.5/2.6/2.6
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    4 8.5/8.3/2.6
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    1 8.5/8.3/6.6
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    2 8.5/8.4/2.6
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    2 8.5/8.4/7.8
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    1 8.5/8.4/8.3
    39 8.5/8.5/2.6
    5 8.5/8.5/2.8
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    26 8.5/8.5/3.4
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    24 8.5/8.5/3.8
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    2 8.5/8.5/5.2
    3 8.5/8.5/6.6
    7 8.5/8.5/6.7
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    7 8.5/8.5/7.1
    9 8.5/8.5/7.2
    6 8.5/8.5/7.3
    2 8.5/8.5/7.4
    3 8.5/8.5/7.6
    2 8.5/8.5/7.7
    15 8.5/8.5/7.8
    1 8.5/8.5/7.9
    1 8.5/8.5/8.0
    4 8.5/8.5/8.2
    27 8.5/8.5/8.3
    33 8.5/8.5/8.4
    150 8.5/8.5/8.5
    17 8.6/1.2/1.2
    3 8.6/1.5/1.5
    1 8.6/1.7/1.7
    6 8.6/2.0/2.0
    4 8.6/2.3/2.3
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    4 8.6/8.5/2.6
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    42 8.6/8.6/2.6
    3 8.6/8.6/2.8
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    13 8.6/8.6/3.4
    26 8.6/8.6/3.8
    5 8.6/8.6/4.0
    3 8.6/8.6/4.2
    3 8.6/8.6/4.4
    1 8.6/8.6/5.2
    8 8.6/8.6/6.6
    20 8.6/8.6/6.7
    24 8.6/8.6/7.1
    25 8.6/8.6/7.2
    15 8.6/8.6/7.3
    2 8.6/8.6/7.4
    10 8.6/8.6/7.6
    2 8.6/8.6/7.7
    13 8.6/8.6/7.8
    3 8.6/8.6/7.9
    12 8.6/8.6/8.2
    31 8.6/8.6/8.3
    52 8.6/8.6/8.4
    49 8.6/8.6/8.5
    89 8.6/8.6/8.6
    19 8.7/1.2/1.2
    4 8.7/1.5/1.5
    5 8.7/2.0/2.0
    4 8.7/2.3/2.3
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    5 8.7/2.6/2.6
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    1 8.7/3.2/2.6
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    52 8.7/8.7/2.6
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    26 8.7/8.7/3.4
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    19 8.7/8.7/6.7
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    32 8.7/8.7/8.3
    41 8.7/8.7/8.4
    19 8.7/8.7/8.5
    4 8.7/8.7/8.6
    81 8.7/8.7/8.7
    15 8.8/1.2/1.2
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    40 8.8/8.8/2.6
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    19 8.8/8.8/8.3
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    176 8.8/8.8/8.8
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    43 9.0/9.0/2.6
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    19 9.0/9.0/8.9
    206 9.0/9.0/9.0
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    61 9.1/9.1/9.0
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    36 9.2/9.2/9.0
    37 9.2/9.2/9.1
    217 9.2/9.2/9.2
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    14 9.3/9.3/8.9
    40 9.3/9.3/9.0
    22 9.3/9.3/9.1
    71 9.3/9.3/9.2
    184 9.3/9.3/9.3
    24 9.4/1.2/1.2
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Re: Patterns Game Strategies

Postby ssxsssxs » Sat Mar 01, 2014 12:35 pm

Why you search so fast? Is there any setting to make sudoku.exe searching faster?
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ssxsssxs
 
Posts: 121
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Re: Patterns Game Strategies

Postby champagne » Sat Mar 01, 2014 3:47 pm

ssxsssxs wrote:Why you search so fast? Is there any setting to make sudoku.exe searching faster?


Unhappily not. The only feature is to use the Diamond or Pearl command, but serate remains a very slow process.

Nearly all players use filters in the upstream process and submit to serate puzzles having a good chance to be of interest.

A skill player can for example submit only potential diamonds at the start and later select puzzles not diamonds where no diamond has been found.

Other players play for rarity at the start, but this is a completely different strategy.
champagne
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Re: Patterns Game Strategies

Postby ssxsssxs » Sun Mar 02, 2014 9:20 am

champagne wrote:
ssxsssxs wrote:Why you search so fast? Is there any setting to make sudoku.exe searching faster?


Unhappily not. The only feature is to use the Diamond or Pearl command, but serate remains a very slow process.

Nearly all players use filters in the upstream process and submit to serate puzzles having a good chance to be of interest.

A skill player can for example submit only potential diamonds at the start and later select puzzles not diamonds where no diamond has been found.

Other players play for rarity at the start, but this is a completely different strategy.


But I see you often posting puzzles whose SE-rating are higher than 10.0. And from the puzzles you posted, it seems that the sudoku.exe had been searching at least 18 clues, but in my computer, it is at most 13 clues for 5 days. I don't know why.
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ssxsssxs
 
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Re: Patterns Game Strategies

Postby ssxsssxs » Sun Mar 02, 2014 10:40 am

Oh, I found the -go command. It is hard to understand.
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ssxsssxs
 
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Re: Patterns Game Strategies

Postby champagne » Sun Mar 02, 2014 10:56 am

ssxsssxs wrote:But I see you often posting puzzles whose SE-rating are higher than 10.0. And from the puzzles you posted, it seems that the sudoku.exe had been searching at least 18 clues, but in my computer, it is at most 13 clues for 5 days. I don't know why.



Sorry, I made a wrong answer to your post, having in mind Sudoku Explainer. (A beach side problem I guess).

Generation of puzzles in the pattern game is somehow the key point. Each of us has it's own process, but for me the scan or the random generation are unefficient processes.

The basic strategy, to be efficient, is the vicinity search. You just change 'n' digits or ('1' to 'n' digits) and you start a new cycle with selected seeds depending on what you try to achieve.

You can also, knowing that in the game you always have a symmetry, try to find some symmetric (why not the so called symmetry of given) distribution of the given, which is much faster than a scan (say less than one hour is you are looking for the symmetry of given). You then have a lot of seeds usually giving a good cover of the field.

Playing with the 2 main parameters of a vicinity search : depth of the search, and selection of seeds gives enough variations from one player to another one.

I tried also some filtered scans, but usually with a poor yield.

My basic process is a vicinity '1' to '3', with deeper searchs depending on the pattern.
The seed selection is generally oriented in my case towards the high ratings, but other players can have other priorities
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Re: Patterns Game Strategies

Postby ssxsssxs » Sun Mar 02, 2014 1:45 pm

champagne:
Thank you very much for your answer!
The principal of "vicinity search" is reasonable. But I am confused on the level of operation.
Can you give me a specific command line sample? Like this in gsf's readme-document:

sudoku -go"{-1+1}x3{-2+1}{-2+2}{1+1}x9" jpf-19.dat
but I don't know what is it in file "jpf-19.dat". What is it's content?
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Re: Patterns Game Strategies

Postby champagne » Sun Mar 02, 2014 2:15 pm

ssxsssxs wrote:champagne:
Thank you very much for your answer!
The principal of "vicinity search" is reasonable. But I am confused on the level of operation.
Can you give me a specific command line sample? Like this in gsf's readme-document:

sudoku -go"{-1+1}x3{-2+1}{-2+2}{1+1}x9" jpf-19.dat
but I don't know what is it in file "jpf-19.dat". What is it's content?


I have no experience of sudoku.exe. I have my own programs for puzzles generation. The code is public (in a google project) but included in a multi purpose program (somehow like gsf's program) and some parts of the program are not stable.
champagne
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