## Patterns Game 1.0

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### Patterns Game 1.0

Here's a new challenge.

 Here are the new rules as of 2007/12/01.
Below, I left the initial rules in order for the readers to be able to understand what happened in the first patterns games.

A dealer gives a valid and minimal puzzle solved by singles only ("all singles")
This puzzle must have at least 19 clues, but less than 30.
Its pattern must be not isomorphic to a pattern already used in a previous game of this thread.

Each player can post a new valid puzzle provided that his proposed puzzle :
• has the same pattern
• is minimal
• is non isomorphic to any previous posted puzzle
• has a different ER rating from any previous posted puzzle.
ER is the rating given by Sudoku Explainer 1.2 (SE)

Note : To use Sudoku Explainer for a file of puzzles, see this ravel's post.
In batch mode, SE gives 2 distinct ratings :
• 6.699999999999999 ; Hardest technique : Forcing X-Chain
• 6.7 ; Hardest technique : Bidirectional Y-Cycle
In this game, these 2 ratings are considered different.

Each player can post 1 puzzle maximum for 1 day, except if somebody posts an other satisfactory puzzle.
The game ends if no puzzle has been posted for 3 days.

Points : when a puzzle is posted the player gets points = # posted puzzle.
i.e : the dealer gets 1 pt, next puzzle 2 pts, etc...

At the end of the game :
• a 20 pts penalty is given to the initial dealer
• a bonus for the last puzzle equal to the # puzzle
• the same bonus is given for the highest ER
• a 50 pts penalty for every post with an incorrect puzzle or for every edited (i.e. marked "edited") post
The winner is the player with the highest number of points and gets the right to be the new dealer, but a player cannot be a dealer for more than 5 consecutive games.
He loses his right if he doesn't propose any new puzzle within 1 day.

Initial rules
A dealer gives a valid and minimal puzzle solved by singles only ("all singles")
This puzzle must have at least 19 clues, but less than 30.

Each player can post a new valid puzzle provided that his proposed puzzle :
• has the same pattern
• is not an "all singles"
• has a higher ER rating than the preceding posted one.
ER is the rating given by Sudoku Explainer 1.2

If his puzzle stays unsurpassed for 1 week, he wins and gets the right to be the new dealer.
He loses his right if he doesn't propose any new puzzle within 1 week.

Code: Select all
` . . . | 6 . . | . . . 5 7 4 | 1 . . | . 3 . 2 . . | . . . | 1 8 5-------+-------+------- . . . | . . . | . 4 . . . . | . 5 . | . . . . 1 . | . . . | . . .-------+-------+------- 6 3 9 | . . . | . . 2 . 8 . | . . 9 | 5 7 6 . . . | . . 4 | . . .`

23 clues, all singles, 12 steps

JPF
Last edited by JPF on Sat Dec 01, 2007 4:44 pm, edited 7 times in total.
JPF
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Posts: 6139
Joined: 06 December 2005
Location: Paris, France

This one should be easier :

Code: Select all
` 4 . . . . . . . 5 . 9 . 7 . . . 2 . . . 2 . . . 4 . . . 8 . 1 . 4 . . . . . . . 6 . . . . . . . 2 . 5 . 1 . . . 1 . . . 2 . . . 7 . . . 8 . 6 . 5 . . . . . . . 8`

21 clues, all singles, 16 steps.

JPF
JPF
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Posts: 6139
Joined: 06 December 2005
Location: Paris, France

JPF wrote:This one should be easier :

Code: Select all
` 4 . . . . . . . 5 . 9 . 7 . . . 2 . . . 2 . . . 4 . . . 8 . 1 . 4 . . . . . . . 6 . . . . . . . 2 . 5 . 1 . . . 1 . . . 2 . . . 7 . . . 8 . 6 . 5 . . . . . . . 8`

21 clues, all singles, 16 steps.

So, is this what you mean?
Code: Select all
` 4 . . . . . . . 5 . 7 . 3 . . . 6 . . . 2 . . . 4 . . . 8 . 1 . 4 . . . . . . . 7 . . . . . . . 2 . 5 . 1 . . . 1 . . . 2 . . . 3 . . . 8 . 5 . 5 . . . . . . . 8         SE 7.1`

Regards,

Mike Metcalf

m_b_metcalf
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Location: Berlin

m_b_metcalf wrote:So, is this what you mean? ...

Yes, something like this :
Code: Select all
` 1 . . . . . . . 2 . 3 . 4 . . . 5 . . . 2 . . . 6 . . . 7 . 3 . 6 . . . . . . . 5 . . . . . . . 8 . 2 . 4 . . . 6 . . . 7 . . . 4 . . . 7 . 9 . 9 . . . . . . . 8        SE 9.0`

JPF
JPF
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Location: Paris, France

JPF wrote:
m_b_metcalf wrote:So, is this what you mean? ...

Yes, something like this :
Code: Select all
` 1 . . . . . . . 2 . 3 . 4 . . . 5 . . . 2 . . . 6 . . . 7 . 3 . 6 . . . . . . . 5 . . . . . . . 8 . 2 . 4 . . . 6 . . . 7 . . . 4 . . . 7 . 9 . 9 . . . . . . . 8        SE 9.0`

JPF

In other words, a gigantic pearl (15 times SE 9.6 to start) going to SE 9.8 would qualify :
Code: Select all
` 7 . . . . . . . 3 . 9 . 4 . . . 8 .  . . 1 . . . 5 . . . 8 . 9 . 5 . . . . . . . 3 . . . . Pearl 15 x 9.6, then up to 9.8 . . . 2 . 8 . 6 . . . 5 . . . 1 . . . 6 . . . 9 . 4 . 3 . . . . . . . 7`

Regards,

Mike Metcalf

m_b_metcalf
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Location: Berlin

m_b_metcalf wrote:In other words, a gigantic pearl (15 times SE 9.6 to start) going to SE 9.8 would qualify :

Yes, I think so

Brilliant !
A real nightmare for the solvers.

Should be posted to the "hardest thread".
Congratulations.

JPF
JPF
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Location: Paris, France

m_b_metcalf wrote:In other words, a gigantic pearl (15 times SE 9.6 to start) going to SE 9.8 would qualify :
Code: Select all
` 7 . . . . . . . 3 . 9 . 4 . . . 8 .  . . 1 . . . 5 . . . 8 . 9 . 5 . . . . . . . 3 . . . . Pearl 15 x 9.6, then up to 9.8 . . . 2 . 8 . 6 . . . 5 . . . 1 . . . 6 . . . 9 . 4 . 3 . . . . . . . 7`

In the middle of trying to crack this monster, my solver ran across a very rare 4444 Jellyfish. Whew!!!
daj95376
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Posts: 2624
Joined: 15 May 2006

Code: Select all
` 7 . . . . . . . 3 . 2 . 4 . . . 8 . . . 1 . . . 5 . . . 8 . 9 . 5 . . . . . . . 3 . . . . . . . 2 . 8 . 6 . . . 5 . . . 1 . . . 4 . . . 9 . 2 . 3 . . . . . . . 7      SE=10.7`

JPF
JPF
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JPF

Incroyable Changing three values makes such a difference. Well done! Now the rest of have a week to get yet higher .

Regards,

Mike Metcalf

m_b_metcalf
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Location: Berlin

m_b_metcalf wrote:Incroyable Changing three values makes such a difference. Well done!

Thanks.
Actually, you did better

My initial puzzle:
Code: Select all
`SE=1.5400000005090700020002000400080104000000060000000205010001000200070008060500000008`

Code: Select all
`SE=7.1400000005070300060002000400080104000000070000000205010001000200030008050500000008`

equivalent to, after the relabelling (3->7 , 7->6 , 6->3) :
Code: Select all
`400000005060700030002000400080104000000060000000205010001000200070008050500000008`

which is my initial puzzle with 3 modified cells.
and SE went from 1.5 to 7.1 (+5.6)...

JPF
JPF
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Location: Paris, France

JPF wrote:Thanks.
Actually, you did better

Well, that's a very generous coment -- let's say it's a joint effort. The pattern you devised seems to be very fruitful. The following is an intermediate result that is invalid as an entry under your rules, but I think it's interesting and I need help :
Code: Select all
` 5 . . . . . . . 9 . 2 . 1 . . . 7 . . . 8 . . . 3 . . . 4 . 7 . 2 . . .  SE at least 11.4 . . . . 5 . . . . . . . . . 6 . 1 . . . 3 . . . 8 . . . 6 . . . 4 . 2 . 9 . . . . . . . 5`

As you can see, r6c4 (which is 8) is missing from your pattern. Sudoku Explainer seems to give up (on my machine) at 11.4, so can I appeal to someone to get the final SE rating for me? It would be nice to get the rating with the redundant cell added back too -- I gave up at 10.4.

Many thanks,

Mike Metcalf

m_b_metcalf
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Posts: 13594
Joined: 15 May 2006
Location: Berlin

m_b_metcalf wrote:The following is an intermediate result that is invalid as an entry under your rules, but I think it's interesting and I need help :
Code: Select all
` 5 . . . . . . . 9 . 2 . 1 . . . 7 . . . 8 . . . 3 . . . 4 . 7 . 2 . . .  SE at least 11.4 . . . . 5 . . . . . . . . . 6 . 1 . . . 3 . . . 8 . . . 6 . . . 4 . 2 . 9 . . . . . . . 5`

Stupéfiant !, bravo...
[Edit : My computer crashed after the 8th step (SE=11.4). Java gave up]

m_b_metcalf wrote:As you can see, r6c4 (which is 8) is missing from your pattern. Sudoku Explainer seems to give up (on my machine) at 11.4, so can I appeal to someone to get the final SE rating for me? It would be nice to get the rating with the redundant cell added back too -- I gave up at 10.4.

SE=10.5 with r6c4=8
So, 6 days to beat 10.7

JPF
JPF
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JPF wrote:SE=10.5 with r6c4=8
So, 6 days to beat 10.7

JPF

Groan .

Mike

m_b_metcalf
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Location: Berlin

6.......2
.5.9.1.4.
..4...3..
.9.8.6.1.
....3....
.2.7.4...
..7...9..
.3.1.5.2.
8.......7

I find this, but without high rating. (SE=7.2)
But it has many analysis results by SE.
Eioru

Posts: 182
Joined: 16 August 2006

Eioru wrote:
Code: Select all
` 6 . . . . . . . 2 . 5 . 9 . 1 . 4 . . . 4 . . . 3 . . . 9 . 8 . 6 . 1 . . . . . 3 . . . . . 2 . 7 . 4 . . . . . 7 . . . 9 . . . 3 . 1 . 5 . 2 . 8 . . . . . . . 7`

I find this, but without high rating. (SE=7.2)

Thanks .
But this puzzle doesn't match the proposed pattern.

btw, r3c7=8 & r9c1=1 give SE=8.9, etc...

JPF
JPF
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Joined: 06 December 2005
Location: Paris, France

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