More Homework 7

Everything about Sudoku that doesn't fit in one of the other sections

More Homework 7

Postby JPF » Wed Dec 07, 2022 4:49 pm

Find the highest SE* rating of 18-clues puzzles having two clues in each box.
Here is something to start with:

Code: Select all
+---+---+---+
|...|..1|.23|
|...|...|...|
|.45|.6.|...|
+---+---+---+
|...|..3|.7.|
|.6.|...|5..|
|8..|..2|...|
+---+---+---+
|...|94.|6..|
|...|...|...|
|3.7|...|..1|
+---+---+---+  ED=3.0/1.5/1.5
*Sudoku Explainer

JPF
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Re: More Homework 7

Postby coloin » Thu Dec 08, 2022 12:11 pm

Code: Select all
+---+---+---+
|...|..1|..2|
|..3|...|.4.|
|.5.|.6.|...|
+---+---+---+
|...|..2|.1.|
|.4.|...|5..|
|6..|7..|...|
+---+---+---+
|...|.8.|6..|
|..1|5..|...|
|2..|...|..7|
+---+---+---+    ED=3.4/3.4/3.4
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Re: More Homework 7

Postby Hajime » Thu Dec 08, 2022 3:31 pm

JPF's pattern
Code: Select all
 . . . . . 1 . 2 8
 . . . . . . . . .
 . 4 3 . 6 . . . .
 . . . . . 3 . 4 .
 . 6 . . . . 5 . .
 1 . . . . 2 . . .
 . . . 4 5 . 6 . .
 . . . . . . . . .
 2 . 9 . . . . . 1  ED=8.3/1.5/1.5

coloin's pattern
Code: Select all
 . . . . . 1 . . 2
 . . 3 . . . . 4 .
 . 5 . . 6 . . . .
 . . . . . 2 . 9 .
 . 8 . . . . 5 . .
 6 . . 7 . . . . .
 . . . . 8 . 6 . .
 . . 1 5 . . . . .
 2 . . . . . . . 7  ED=7.2/7.1/3.4

Now busy with some 9x2 self invented pattern
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Re: More Homework 7

Postby coloin » Thu Dec 08, 2022 3:54 pm

Code: Select all
+---+---+---+
|...|..1|..2|
|..3|...|.4.|
|.5.|.6.|...|
+---+---+---+
|...|..2|.3.|
|.7.|...|8..|
|6..|4..|...|
+---+---+---+
|...|3..|5..|
|..2|.7.|...|
|1..|...|..6|
+---+---+---+     ED=7.9/7.1/3.4   [Perfect-18-1]

Hajime wrote:Now busy with some 9x2 self invented pattern

there are many, but interestingly, not that many wasy to fill in B1B5B9 ...
Last edited by coloin on Thu Dec 08, 2022 3:57 pm, edited 1 time in total.
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Re: More Homework 7

Postby JPF » Thu Dec 08, 2022 3:57 pm

Code: Select all
+-------+-------+-------+
| . . . | . . . | . . . |
| . . . | . 5 3 | . . 1 |
| 6 . 2 | . . . | . 8 . |
+-------+-------+-------+
| . . . | 4 . . | 2 7 . |
| . . . | . . . | . . . |
| . 1 3 | . . 9 | . . . |
+-------+-------+-------+
| . 8 . | . . . | 3 . 5 |
| 7 . . | 2 6 . | . . . |
| . . . | . . . | . . . |
+-------+-------+-------+   ED=7.2/1.5/1.5

pi-automorphic ; (17)(23)(49)(56)

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Re: More Homework 7

Postby coloin » Thu Dec 08, 2022 4:01 pm

Code: Select all
+---+---+---+
|...|...|..1|
|..2|..3|...|
|.4.|.5.|.6.|
+---+---+---+
|...|..7|3..|
|.8.|4..|...|
|1..|...|..2|
+---+---+---+
|...|1..|.8.|
|..7|...|4..|
|3..|.6.|...|
+---+---+---+  ED=7.2/7.2/3.8
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Re: More Homework 7

Postby JPF » Thu Dec 08, 2022 4:18 pm

coloin wrote:there are many, but interestingly, not that many wasy to fill in B1B5B9 ...

There are 33,135,278 possible ed patterns (2x9) ; see here.
Up to now, I only found 9,759 valid ed-patterns...

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Re: More Homework 7

Postby coloin » Thu Dec 08, 2022 5:12 pm

JPF wrote:There are 33,135,278 possible ed patterns (2x9)

certainly boggling - as there are only 6 patterns to fill 3 diagonal boxes

Code: Select all
.......xx......................xx......................xx........................
........x.......x..............xx......................xx........................
........x........x.............xx......................xx........................
........x.......x...............x.......x..............xx........................
........x........x..............x.......x..............xx........................
........x.......x...............x.......x...............x.......x................
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Re: More Homework 7

Postby JPF » Thu Dec 08, 2022 7:25 pm

hmm..
it looks like a bug. I will try to see where this old calculation comes from.
In the meantime, here is a new proposal:
Code: Select all
+---+---+---+
|...|.12|..3|
|..4|...|.5.|
|.6.|...|...|
+---+---+---+
|...|1..|.7.|
|8..|...|4..|
|2..|..3|...|
+---+---+---+
|...|5..|2..|
|..7|.4.|...|
|1..|...|..8|
+---+---+---+   ED=8.4/8.4/2.6

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Re: More Homework 7

Postby jovi_al01 » Thu Dec 08, 2022 8:53 pm

Code: Select all
.........
..17.2..3
.4.....6.
.........
..2..3..1
.6..4..5.
.........
..3..1..7
.8..9..4.

SER 9.2/1.5/1.5


ran some stuff awhile back for 19c puzzles with MSLS. small modifications for 18c might yield good results here :)

edit: found this that doesn't quite fit the criteria, but i thought it was hard enough to warrant sharing.
Code: Select all
.........
.....1..2
..3.4..5.
.........
..6.3..4.
.7...2..8
..4.6..3.
.2......1
.8...7...

SER 9.6/1.5/1.5
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Re: More Homework 7

Postby JPF » Fri Dec 09, 2022 7:13 am

excellent!
SER=9.2/1.5/1.5 is probably the maximum or close...
I found an other one:
Code: Select all
+---+---+---+
|...|...|...|
|...|..1|..2|
|.34|.5.|.6.|
+---+---+---+
|...|...|...|
|..5|.6.|4..|
|2..|..7|..8|
+---+---+---+
|...|...|...|
|.6.|.3.|5..|
|9..|..2|..1|
+---+---+---+   ED=9.2/1.5/1.5

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Re: More Homework 7

Postby coloin » Fri Dec 09, 2022 8:53 am

Code: Select all
+---+---+---+
|...|...|...|
|...|..1|.23|
|.45|.6.|...|
+---+---+---+
|...|...|...|
|...|2.7|.1.|
|.68|...|4..|
+---+---+---+
|...|...|9..|
|...|.4.|8..|
|17.|..3|...|
+---+---+---+  ED=9.3/1.5/1.5
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Re: More Homework 7

Postby coloin » Fri Dec 09, 2022 11:09 am

JPF wrote:hmm..
it looks like a bug. I will try to see where this old calculation comes from.

No i think your pattern calculations are good - as Serg verified it !
Will amend with the ED 2 clues in B1B5B9, which also is not large !
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Re: More Homework 7

Postby coloin » Fri Dec 09, 2022 11:13 am

Have to confess I had prepared a big file of over 3M 222222222-18s several years ago.
Looking at several series of non-random random 18C , it appears that the incidence of these 22222222-18s is arounbd 1% of total 18C.
So maybe there are around 20M of these puzzles
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Re: More Homework 7

Postby coloin » Fri Dec 09, 2022 1:02 pm

... and each of those 20M puzzles have potentially 6 different diagonal box combinations
... with 2 clues in each box ... there were 64 different clue combinations .... not very many !

Hidden Text: Show
Code: Select all
.........................12......................12......................12......
.........................12......................12......................13......
.........................12......................12......................34......
.........................12......................12..............1........2......
.........................12......................12..............1........3......
.........................12......................12..............1.......2.......
.........................12......................12..............1.......3.......
.........................12......................12..............3........4......
.........................12......................12..............3.......4.......
.........................12......................13......................14......
.........................12......................13......................23......
.........................12......................13......................24......
.........................12......................13......................45......
.........................12......................13..............1........2......
.........................12......................13..............1........4......
.........................12......................13..............1.......2.......
.........................12......................13..............1.......4.......
.........................12......................13..............2........3......
.........................12......................13..............2........4......
.........................12......................13..............2.......3.......
.........................12......................13..............2.......4.......
.........................12......................13..............4........5......
.........................12......................13..............4.......5.......
.........................12......................34......................56......
.........................12......................34..............1........2......
.........................12......................34..............1........3......
.........................12......................34..............1........5......
.........................12......................34..............1.......2.......
.........................12......................34..............1.......3.......
.........................12......................34..............1.......5.......
.........................12......................34..............5........6......
.........................12......................34..............5.......6.......
.........................12..............1........2..............1.......2.......
.........................12..............1........2..............1.......3.......
.........................12..............1........2..............3.......4.......
.........................12..............1........3..............1.......2.......
.........................12..............1........3..............1.......4.......
.........................12..............1........3..............2.......3.......
.........................12..............1........3..............2.......4.......
.........................12..............1........3..............4.......5.......
.........................12..............1.......2...............1.......2.......
.........................12..............1.......2...............1.......3.......
.........................12..............1.......2...............3........4......
.........................12..............1.......2...............3.......4.......
.........................12..............1.......3...............1.......3.......
.........................12..............1.......3...............1.......4.......
.........................12..............1.......3...............2.......3.......
.........................12..............1.......3...............2.......4.......
.........................12..............1.......3...............3........4......
.........................12..............1.......3...............3.......4.......
.........................12..............1.......3...............4........5......
.........................12..............1.......3...............4.......5.......
.........................12..............3........4..............5.......6.......
.........................12..............3.......4...............3.......4.......
.........................12..............3.......4...............3.......5.......
.........................12..............3.......4...............5.......6.......
.................1.......2...............1.......2...............1.......2.......
.................1.......2...............1.......2...............1.......3.......
.................1.......2...............1.......2...............3.......4.......
.................1.......2...............1.......3...............1.......4.......
.................1.......2...............1.......3...............2.......3.......
.................1.......2...............1.......3...............2.......4.......
.................1.......2...............1.......3...............4.......5.......
.................1.......2...............3.......4...............5.......6.......
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