## Patterns Game 1.0

Interactive on-site game threads go here
JPF wrote:
m_b_metcalf wrote:Testing

OK so far.
Code: Select all
` . . . 1 2 3 . . . . . 4 . . . 5 . . 6 7 . . . . . 1 8 . . 3 . . . 4 . . . . . 5 . 1 . . . . . . . 8 . . . . . . . . 9 . . . . . . . 4 . 8 . . . . 1 6 . . . 9 3 .   SE=7.3`

JPF

Forgive me for going off topic for a second, but your puzzle JPF is an excellent example of a couple of UR deductions that occur quite often but rarely seem to make much of a difference. After easy stuff, we get to

Code: Select all
`.------------------.------------------.------------------.| 59    59    8    | 1     2     3    | 67    4     67   || 1     3     4    | 8     6     7    | 5     29*   29*  || 6     7     2    | 9     4     5    | 3     1     8    |:------------------+------------------+------------------:| 25    8     3    | 26    7     9    | 4     256   1    || 2479- 2469% 79   | 5     3     1    | 8     2679- 2679*|| 2579  2569  1    | 26    8     4    | 267   25679 3    |:------------------+------------------+------------------:| 247%  24%   57   | 3     9     6    | 1     8     257  || 3     29-   579  | 4     1     8    | 267   267   2567 || 8     1     6    | 7     5     2    | 9     3     4    |'------------------'------------------'------------------'`

where we can immediately deduce r5c1<>2 and r5c8<>2 using the potential deadly patterns in r57c12[24] and r25c89[29], respectively. For those keeping score at home, the first is type UR+3C/2SL, the second is type UR+2B/1SL. After this a finned x-wing (or alternatively a 2-string kite) forces r8c2<>2, and the puzzle is solved.
re'born

Posts: 551
Joined: 31 May 2007

rep'nA wrote:Forgive me for going off topic for a second, but your puzzle JPF is an excellent example of a couple of UR deductions that occur quite often but rarely seem to make much of a difference. After easy stuff, we get to...

Thanks rep'nA

Here's a clue :
Code: Select all
` . . . 1 2 3 . . . . . 4 . . . 5 . . 6 7 . . . . . 1 8 . . 3 . . . 2 . . . . . 5 . 1 . . . . . . . 3 . . . . . . . . 7 . . . . . . . 8 . 9 . . . . 1 6 . . . 7 5 .   SE=7.5`

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

A new clue :

Code: Select all
` . . . 1 2 3 . . . . . 4 . . . 5 . . 6 3 . . . . . 7 1 . . 5 . . . 4 . . . . . 4 . 7 . . . . . . . 3 . . . . . . . . 5 . . . . . . . 8 . 1 . . . . 7 8 . . . 9 3 .   SE=8.2`

JPF
JPF
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Posts: 4022
Joined: 06 December 2005
Location: Paris, France

I think it's time to give my last clue :

Code: Select all
` . . . 1 2 3 . . . . . 4 . . . 5 . . 6 2 . . . . . 1 7 . . 8 . . . 4 . . . . . 2 . 1 . . . . . . . 9 . . . . . . . . 8 . . . . . . . 5 . 7 . . . . 1 5 . . . 9 3 .    SE=8.5`

JPF
JPF
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Posts: 4022
Joined: 06 December 2005
Location: Paris, France

New pattern!

Code: Select all
`...6......7...5.2...2.3...99.....1....1.4...6.8...2.5....7......4...8.3...6.9...4`

22 clues with
59 x Hidden Single
Eioru

Posts: 182
Joined: 16 August 2006

Eioru wrote:New pattern!

Thanks Eioru
... but who cares ?

I suspect that your pattern is a diagonal-like one.

Anyway, here's my quick first riposte :

Code: Select all
` . . . | 1 . . | . . . . 2 . | . . 3 | . 4 . . . 4 | . 5 . | . . 6-------+-------+------- 6 . . | . . . | 7 . . . . 7 | . 8 . | . . 1 . 9 . | . . 5 | . 3 .-------+-------+------- . . . | 4 . . | . . . . 6 . | . . 9 | . 5 . . . 1 | . 6 . | . . 8   SE= 9.2`

JPF
JPF
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Posts: 4022
Joined: 06 December 2005
Location: Paris, France

Slight improvement :

Code: Select all
` . . . | 1 . . | . . . . 2 . | . . 3 | . 4 . . . 4 | . 5 . | . . 6-------+-------+------- 7 . . | . . . | 5 . . . . 8 | . 7 . | . . 1 . 9 . | . . 5 | . 3 .-------+-------+------- . . . | 4 . . | . . . . 6 . | . . 9 | . 5 . . . 1 | . 6 . | . . 8   SE= 9.5`

JPF
JPF
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Posts: 4022
Joined: 06 December 2005
Location: Paris, France

a new improvement :

Code: Select all
` . . . | 1 . . | . . . . 2 . | . . 3 | . 1 . . . 4 | . 5 . | . . 6-------+-------+------- 7 . . | . . . | 8 . . . . 8 | . 7 . | . . 5 . 4 . | . . 1 | . 7 .-------+-------+------- . . . | 2 . . | . . . . 3 . | . . 9 | . 4 . . . 5 | . 6 . | . . 9    SE= 9.9`

JPF
JPF
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Posts: 4022
Joined: 06 December 2005
Location: Paris, France

Eioru wrote:New pattern!

Code: Select all
`...6......7...5.2...2.3...99.....1....1.4...6.8...2.5....7......4...8.3...6.9...4`

After reading JPF's "diagonal-like" comment, I decided to maximize symmetry and came up with:
Code: Select all
` . . 4 | . . 5 | . . 6 . . . | . 1 . | . . .  2 . . | 3 . . | 1 . . -------+-------+------- . . 8 | . . 7 | . . 5 . 7 . | . . . | . 8 .  4 . . | 1 . . | 7 . . -------+-------+------- . . 5 | . . 6 | . . 9 . . . | . 2 . | . . .  3 . . | 9 . . | 4 . . `

Your rows and columns were re-ordered to:
R: 3 1 2 5 4 6 9 7 8
C: 2 1 3 6 4 5 8 7 9
ronk
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Posts: 4764
Joined: 02 November 2005
Location: Southeastern USA

Thanks ronk

Code: Select all
` . . . | 1 . . | . . . . 2 . | . . 3 | . 4 . . . 5 | . 6 . | . . 7-------+-------+------- 6 . . | . . . | 2 . . . . 7 | . 8 . | . . 9 . 8 . | . . 4 | . 7 .-------+-------+------- . . . | 7 . . | . . . . 3 . | . . 8 | . 6 . . . 1 | . 9 . | . . 5   SE= 10.5`

it means that it will take hours now to test new puzzles...

Difficulty rating: 10,5
This Sudoku can be solved using the following logical methods:
55 x Hidden Single
4 x Naked Single
8 x Pointing
1 x Claiming
1 x Naked Pair
2 x X-Wing
1 x Hidden Pair
2 x Naked Triplet
1 x Hidden Triplet
1 x XYZ-Wing
1 x XY-Wing
1 x Unique Rectangle type 4
1 x Turbot Fish
1 x Forcing X-Chain
2 x Bidirectional Y-Cycle
5 x Forcing Chain
2 x Nishio Forcing Chains
4 x Region Forcing Chains
22 x Dynamic Contradiction Forcing Chains
4 x Dynamic Cell Forcing Chains
1 x Dynamic Double Forcing Chains
2 x Dynamic Region Forcing Chains
1 x Dynamic Cell Forcing Chains (+)
14 x Dynamic Contradiction Forcing Chains (+)
7 x Dynamic Contradiction Forcing Chains (+ Forcing Chains)
2 x Dynamic Region Forcing Chains (+ Forcing Chains)
Here is a diagonal-equivalent :

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

JPF
JPF
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Posts: 4022
Joined: 06 December 2005
Location: Paris, France

### Re: Patterns Game

JPF wrote:He loses his right if he doesn't propose any new puzzle within 1 week.

So, dear JPF, allow me to start a new pattern:
Code: Select all
` . . 2 3 4 . 5 . . . . . . . . . 6 . . 1 . . . . . 7 . 6 . 5 1 . . . . . . 4 . . . . . . . 3 . 9 8 . . . . . . 7 . . . . . 1 . . . . . . . . 4 . . . 8 5 2 . 9 . .`

As you will see, this has the outline of the Euro currency symbol. Thus, the First Prize will be an all-expenses-paid trip to the European Central Bank, with a tour by M. Trichet, and the right to take away as many 500-Euro notes as you can carry (to be confirmed).

Regards,

Mike Metcalf

m_b_metcalf
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Location: Berlin

m_b_metcalf wrote:As you will see, this has the outline of the Euro currency symbol.

OK,
Let's start slowly.

Here's a 7.1 € note :
Code: Select all
` . . 1 2 3 . 4 . . . . . . . . . 5 . . 6 . . . . . 7 . 5 . 4 3 . . . . . . 7 . . . . . . . 2 . 8 1 . . . . . . 5 . . . . . 9 . . . . . . . . 3 . . . 9 4 8 . 1 . .   ER=7.1`

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

JPF wrote:OK,
Let's start slowly.

Agreed.
Code: Select all
` . . 7 4 3 . 6 . . . . . . . . . 9 . . 8 . . . . . 5 . 4 . 2 6 . . . . . . 1 . . . . . . . 5 . 3 8 . . . . . . 9 . . . . . 8 . . . . . . . . 4 . . . 6 7 2 . 3 .    SE 7.2`

Regards,

Mike Metcalf

m_b_metcalf
2017 Supporter

Posts: 10784
Joined: 15 May 2006
Location: Berlin

Code: Select all
` . . 1 2 3 . 4 . . . . . . . . . 5 . . 6 . . . . . 7 . 7 . 3 6 . . . . . . 5 . . . . . . . 2 . 8 1 . . . . . . 7 . . . . . 4 . . . . . . . . 8 . . . 9 3 8 . 1 . .    SE=7.3`

JPF
JPF
2017 Supporter

Posts: 4022
Joined: 06 December 2005
Location: Paris, France

JPF wrote:
Code: Select all
` . . 1 2 3 . 4 . . . . . . . . . 5 . . 6 . . . . . 7 . 7 . 3 6 . . . . . . 5 . . . . . . . 2 . 8 1 . . . . . . 7 . . . . . 4 . . . . . . . . 8 . . . 9 3 8 . 1 . .    SE=7.3`

Dear JPF, I'm having a problem getting beyond your €7.3. Here's another the same.
Code: Select all
` . . 1 2 3 . 4 . . . . . . . . . 5 . . 6 . . . . . 7 . 5 . 4 3 . . . . . . 3 . . . . . . . 2 . 6 1 . . . . . . 5 . . . . . 9 . . . . . . . . 3 . . . 2 4 8 . 1 . .      SE 7.3 `

Do you (or anyone else) have a tie-breaker?

Regards,

Mike Metcalf

m_b_metcalf
2017 Supporter

Posts: 10784
Joined: 15 May 2006
Location: Berlin

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