Alphabet Xoup: T

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Alphabet Xoup: T

Postby m_b_metcalf » Sat Mar 11, 2023 5:34 pm

Code: Select all
 . 1 2 3 4 5 6 7 8
 . . . . 6 7 . . .
 . . . . 9 1 . . .
 . . . . 7 2 . . .
 . . . . 1 9 . . .
 . . . . 3 8 . . .
 . . . . 8 3 . . .
 . . . . 2 4 . . .
 . . . 7 5 6 3 . .   easy

 . 1 2 3 4 5 6 7 8
 . . . . 6 7 . . .
 . . . . 9 8 . . .
 . . . . 7 2 . . .
 . . . . 1 9 . . .
 . . . . 3 4 . . .
 . . . . 5 3 . . .
 . . . . 2 1 . . .
 . . . 7 8 6 3 . .   not very hard


M
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Re: Alphabet Xoup: T

Postby Leren » Sat Mar 11, 2023 7:37 pm

Both easy. Perhaps it was the T pattern that was hard to make a hard puzzle.

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Re: Alphabet Xoup: T

Postby m_b_metcalf » Sat Mar 11, 2023 8:25 pm

Leren wrote:Both easy. Perhaps it was the T pattern that was hard to make a hard puzzle.

This what I think of as a very 'stiff' pattern, and it was not trivial to find any examples. Here's another one:
Code: Select all
 . 1 2 3 4 5 6 7 8
 . . . . 6 7 . . .
 . . . . 2 8 . . .
 . . . . 7 2 . . .
 . . . . 1 9 . . .
 . . . . 3 4 . . .
 . . . . 9 3 . . .
 . . . . 5 1 . . .
 . . . 7 8 6 3 . .   my hardest


Perhaps Hajime can do better.

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Re: Alphabet Xoup: T

Postby Leren » Sat Mar 11, 2023 9:38 pm

Hi Mike,

Harder but no forcing chains. Can't wait for the X pattern. That may be interesting one way or another.

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Re: Alphabet Xoup: T

Postby Hajime » Sun Mar 12, 2023 9:10 am

m_b_metcalf wrote:
Code: Select all
 . 1 2 3 4 5 6 7 8
 . . . . 6 7 . . .
 . . . . 2 8 . . .
 . . . . 7 2 . . .
 . . . . 1 9 . . .
 . . . . 3 4 . . .
 . . . . 9 3 . . .
 . . . . 5 1 . . .
 . . . 7 8 6 3 . .   my hardest


Perhaps Hajime can do better.

Only 0.1 better:
Code: Select all
.98345716....67.......28.......72.......19.......34.......93.......51......4863..   ED=7.3/1.0/1.0

Indeed very hard to find puzzles. In the night only 11 puzzles with 6 different ED's :
Code: Select all
ED=2.0/1.0/1.0 , 2.5/1.0/1.0 , 2.9/1.0/1.0 , 3.0/1.0/1.0 , 7.2/1.0/1.0 , 7.3/1.0/1.0

Thank you Mike for this sequence of puzzles.
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Re: Alphabet Xoup: T

Postby m_b_metcalf » Sun Mar 12, 2023 9:59 am

Hajime wrote:
Perhaps Hajime can do better.

Only 0.1 better:
Code: Select all
.98345716....67.......28.......72.......19.......34.......93.......51......4863..   ED=7.3/1.0/1.0

Indeed very hard to find puzzles. In the night only 6 different ED's :
Code: Select all
ED=2.0/1.0/1.0 , 2.5/1.0/1.0 , 2.9/1.0/1.0 , 3.0/1.0/1.0 , 7.2/1.0/1.0 , 7.3/1.0/1.0


I can add only these additional ratings:
Code: Select all
.12345678....67.......98.......72.......19.......34.......83.......21......7563..   ED=2.3/1.0/1.0   
.12345678....67.......28.......79.......12.......36.......53.......91......7843..   ED=6.3/1.0/1.0   
.12345678....67.......28.......72.......19.......34.......93.......81......7563..   ED=6.6/1.0/1.0   

jpf remains our only hope for a higher rating.
Thank you Mike for this sequence of puzzles.

You're most welcome!
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Re: Alphabet Xoup: T

Postby Mathimagics » Sun Mar 12, 2023 1:50 pm

Hmmm .....

I do have an issue with that pattern ! :?

Since T is a very elementary letter shape, would it not be unreasonable to ask for some consistency regarding the serif attribute?

This would be appropriate, IMHO:
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 X . . .
 . . . X X X X . .


Or, simply remove the serif in row 9 (c47) for a true sans serif "T". Mixing of the two forms is generally frowned upon by the International Brotherhood of Typesetters. 8-)
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Re: Alphabet Xoup: T

Postby Hajime » Sun Mar 12, 2023 3:40 pm

Hi MM, because r1c1= 'naked single' no pearls and diamonds to be found :o
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Re: Alphabet Xoup: T

Postby m_b_metcalf » Sun Mar 12, 2023 3:57 pm

Mathimagics wrote:I do have an issue with that pattern !
Dear MM, so do I. My basic goal was to produce only sans serif letters, but for T I failed. In fact, in order get the pattern I posted, I had to start off with exactly the shape you propose and progressively remove the serif clues. However, I couldn't remove all four, but only either one of the two pairs.

Regards,

Mike

P.S. I wasn't looking necessarily for high-rated puzzles, more for ones that are suitable for human solvers.
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Re: Alphabet Xoup: T

Postby urhegyi » Sun Mar 12, 2023 5:09 pm

Code: Select all
.9584731.
....96...
....25...
....18...
....74...
....53...
....82...
....69...
...5318..

Code: Select all
.9584731.....96.......25.......18.......74.......53.......82.......69......5318.. ED=7.1/2.0/2.0

Code: Select all
checked with sisesuso: even with generalized intersections disabled it finds a solution without forcing chains

Code: Select all
Summary eliminated candidates per Method And per Sudoku

Method   \  Sudoku |   SER |     1 (#Methods)
                   |-------|---------------
Solved Clue elims  |     0 |   139 (139)
Naked Singles      |   0.1 |    44 (44)
Hidden Singles     |   0.2 |    46 (12)
Naked Pair     [2] |     3 |     4 (3)
Naked Quad     [4] |     5 |     6 (2)
Hidden Quad    [5] |   5.4 |    14 (4)
Hidden Triple  [6] |     4 |     2 (1)
Pointing/Claiming  |   2.8 |    13 (13)
WXYZ Wing     [B4] |   5.5 |     1 (1)
Turbot-fish    [4] |   4.2 |     7 (7)
X-chain        [6] |   5.4 |     1 (1)
XY-chain       [2] |   3.6 |     3 (3)
XY-Wing        [3] |   4.1 |     1 (1)
XY-chain       [4] |   4.6 |     1 (1)
XY-chain       [5] |   5.1 |     1 (1)
                   |-------|---------------
Eliminated Cand's  |   283 |   283
Sum(SER * Cand's)  | 240.5 | 240.5

Initial Candidates :   283
Maximum SER rating :   5.5 <- Approach
Labour rating      : 240.5 <- Experimental rating
Time needed        : 00:00:03.375
SiSeSuSo Solver and Generator (version 2023-03)
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Re: Alphabet Xoup: T

Postby urhegyi » Mon Mar 13, 2023 8:24 am

When I can find examples with R1C2 removed they are symmetric like the original one.
Here are the hardest ones:
Code: Select all
..584631.....97.......25.......18.......74.......53.......82.......69......5318.. ED=4.2/1.5/1.5
..584731.....96.......25.......58.......73.......19.......82.......64......5314.. ED=4.5/2.0/2.0
..582631.....93.......45.......18.......74.......59.......82.......67......5318.. ED=7.1/1.5/1.5
..582741.....96.......45.......18.......64.......53.......82.......79......5318.. ED=7.1/1.5/1.5
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Re: Alphabet Xoup: T

Postby Hajime » Mon Mar 13, 2023 8:33 am

MM's hardest sofar:
Code: Select all
.76145823.5..67..4....28.......72.......19.......34.......93.......81......4563..   ED=9.0/1.0/1.0
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OP Pattern

Postby 1to9only » Mon Mar 13, 2023 10:03 am

Code: Select all
 . 1 2 3 4 5 7 6 8
 . . . . 6 7 . . .
 . . . . 2 1 . . .
 . . . . 3 4 . . .
 . . . . 7 9 . . .
 . . . . 1 8 . . .
 . . . . 8 3 . . .
 . . . . 9 2 . . .
 . . . 1 5 6 3 . . ED=8.3/1.0/1.0
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Re: OP Pattern

Postby urhegyi » Mon Mar 13, 2023 10:30 am

1to9only wrote:
Code: Select all
 . 1 2 3 4 5 7 6 8
 . . . . 6 7 . . .
 . . . . 2 1 . . .
 . . . . 3 4 . . .
 . . . . 7 9 . . .
 . . . . 1 8 . . .
 . . . . 8 3 . . .
 . . . . 9 2 . . .
 . . . 1 5 6 3 . . ED=8.3/1.0/1.0

Inspired by yours,
Code: Select all
.12345678....68.......29.......82.......31.......74.......17.......93......8567.. ED=4.0/1.0/1.0
.12345678....21.......76.......84.......19.......63.......38.......97......6527.. ED=7.2/1.0/1.0
.12345678....76.......12.......94.......68.......23.......39.......81......2574.. ED=8.3/1.0/1.0
.12345678....21.......86.......94.......17.......63.......39.......78......4527.. ED=8.3/1.0/1.0
Last edited by urhegyi on Mon Mar 13, 2023 1:51 pm, edited 1 time in total.
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more...

Postby 1to9only » Mon Mar 13, 2023 11:40 am

Code: Select all
.29345176....87.......61.......72.......19.......36.......53.......24......7983.. ED=7.6/1.0/1.0
.29345176....67.......81.......32.......19.......76.......53.......24......7983.. ED=7.8/1.0/1.0
.12345678....67.......91.......72.......59.......38.......23.......14......5863.. ED=8.5/1.0/1.0
.29345176....67.......81.......72.......58.......39.......13.......26......5943.. ED=8.9/1.0/1.0
.29345678....87.......61.......72.......59.......34.......13.......28......7961.. ED=9.0/1.0/1.0
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