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Posted: Tue Nov 29, 2005 8:30 pm Post subject: Nov 28th Monster - multiple solutions? |
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I have another solution for the monster yesterday, anyone else find this?
c7235a64b198
ab48791c3265
9165823bca47
28b9c45a6371
65c41b73298a
13a7982654cb
8a7b3192465c
4c9267b518a3
5631ac487b29
b98645c1a732
325ab6879c14
741c23a985b6 |
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David Bryant
Joined: 29 Jul 2005 Posts: 559 Location: Denver, Colorado
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Posted: Tue Nov 29, 2005 10:36 pm Post subject: No, but ... |
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No, I didn't find that one. But I heard about this one:
Code: | 5A23 4B67 C198
9B47 821C 36A5
C168 A935 B247
28B9 C451 637A
65C4 BA73 2981
137A 9826 54CB
875B 3192 4A6C
4C92 67BA 1853
A631 5C48 7B29
B986 15C4 A732
32A5 768B 9C14
741C 23A9 85B6 |
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samgj Site Admin
Joined: 17 Jul 2005 Posts: 106 Location: Cambridge
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Posted: Wed Nov 30, 2005 12:10 am Post subject: Re: Nov 28th Monster - multiple solutions? |
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guest wrote: | I have another solution for the monster yesterday, anyone else find this? |
Darn! Yep. Multiple solutions to that one. I guess it was a little too much to ask that I make it to a year without creating a duff.
Sorry all -- puzzle view labelled in an attempt to avoid further confusion.
Meekly,
Sam |
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alanr555
Joined: 01 Aug 2005 Posts: 198 Location: Bideford Devon EX39
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Posted: Wed Nov 30, 2005 2:47 am Post subject: Re: Nov 28th Monster - multiple solutions? |
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Code: |
> Darn! Yep. Multiple solutions to that one. I guess it was a little too
> much to ask that I make it to a year without creating a duff.
Commiserations.
However, this may be an example of a step too far.
The multiple was on a "monster" puzzle.
There is still a clean record on the standard 9x9 puzzle, is there not?
Long may the 9x9 continue.
It is the heart and soul of Sudoku and the others could be regarded
as distractions. Any business person knows that one HAS to keep the
core business working well and that forays into other areas have to
be undertaken with a degree of caution that includes considerable
amounts of planning and the possible diversion of resource to the core
activity. Please innovate - but not at the cost of quality of the core
product! We do not NEED monster puzzles but the addicts among us
would be lost without our daily fix of 9x9.
Alan Rayner BS23 2QT
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Katie
Joined: 05 Aug 2005 Posts: 13 Location: London
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Posted: Wed Nov 30, 2005 3:27 pm Post subject: |
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'tis no wonder my little brain went haywire. ![Shocked](images/smiles/icon_eek.gif) |
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samgj Site Admin
Joined: 17 Jul 2005 Posts: 106 Location: Cambridge
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Posted: Wed Nov 30, 2005 8:50 pm Post subject: Re: Nov 28th Monster - multiple solutions? |
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alanr555 wrote: | However, this may be an example of a step too far.
The multiple was on a "monster" puzzle.
There is still a clean record on the standard 9x9 puzzle, is there not?
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Indeed there is. And hopefully the obvious admission on the site retains confidence in the puzzle set as a whole.
Quote: | It is the heart and soul of Sudoku and the others could be regarded
as distractions. |
Well I take your point, but it's not quite the model that I subscribe to. Innovation keeps things fresh and interesting, hopefully for both you and me. Not only that, but early release of new things, with the inevitable occasional screw-up, enables much faster development through the excellent feedback that an active user base can provide. And you never know, one day I might manage to provide something that replaces the 9x9 sudoku in your affections :)
Quote: | Any business person knows that one HAS to keep the
core business working well and that forays into other areas have to
be undertaken with a degree of caution that includes considerable
amounts of planning and the possible diversion of resource to the core
activity. |
Luckily, a day job means that profitable business has never been the primary driver here -- this is entirely secondary to the interest in puzzles and the pride and kick out of providing something that people enjoy.
Quote: | Please innovate - but not at the cost of quality of the core
product! We do not NEED monster puzzles but the addicts among us
would be lost without our daily fix of 9x9. |
You're probably not going to think much of my Christmas Advent Sudokus then :)
Sam |
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Guest
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Posted: Thu Dec 01, 2005 4:54 pm Post subject: |
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In retrospect, I kind of liked it. I was the hardest puzzle I had done for quite some time. Nowadays the very hards are still just like 15 minutes. Whereas for that one, at a couple points in the puzzle I swear there was no way to determine any subsequent square, and I had to go off and just guess on some squares and see if any contradictions arose. Perhaps I should start a new style of sudoke, where a handful of solutions are possible. |
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rgbrown Guest
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Posted: Fri Dec 02, 2005 11:22 pm Post subject: Re: Nov 28th Monster - multiple solutions? |
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guest wrote: | I have another solution for the monster yesterday, anyone else find this? |
David Bryant wrote: | No, I didn't find that one. But I heard about this one: |
If my brute-force solver/enumerator can be believed, this puzzle had a total of 143 possible solutions.
I wrote it a while back when I was playing with the question of how many valid ways there were to fill the 9x9 grid. Someone gave me a link to the analysis before I got there, but I noted along the way that I had completely as a by-product written something that could quite quickly solve a regular 9x9 sudoku from initial position.
I spent a while today replacing "9" with "GRIDSIZE" and "3" with "BLOCKWIDE" and "BLOCKHIGH", then a while xx around which of those was which, and expanded it to handle 12x12 and 16x16 puzzles -- other sizes are possible, with adaptions for the symbol set.
Anyway, it's not very quick at all to solve a very-hard 12x12, but it gets there eventually. I spent the time because I was wondering about the "how many solutions" question on the Nov. 28 monster. Once I got the code working, I started it running on the Nov. 28 monster, augmented by the 5 cells that I'd managed to figure out for absolute sure, myself, and it produced, as initially mentioned, a list of 143.
The only other item of potential interest I can think of is to note that there are only 7 cells other than those given that are the same in all possible solutions. All 143 contain
--23 --6- -198
-B4- --1- ---5
-16- --3- --4-
28B- C45- 63--
6-C- --73 2---
1--- 9--6 ----
---- 3--2 ---C
-C-2 67-- -8-3
---1 -C48 -B2-
-9-- -5-- -7--
32-- -6-- -C1-
741- -3-- 85--
where the bolded cells are the ones not originally given.
Never thought you'd hear the words "sudoku" and "monday-morning quarterback" in the same sentence, did you?
Russell |
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jia Guest
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Posted: Tue Jan 17, 2006 8:12 am Post subject: Re: Nov 28th Monster - multiple solutions? |
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(ans1)
c7235a64b198
ab48791c3265
9165823bca47
28b9c45a6371
65c41b73298a
13a7982654cb
8a7b3192465c
4c9267b518a3
5631ac487b29
b98645c1a732
325ab6879c14
741c23a985b6
(ans2)
5a234b67c198
9b47821c3a65
c168a935b247
28b9c451637a
65c4ba732981
137a982654cb
879b31a2465c
4c5267b918a3
a6315c487b29
b98615c4a732
32a5768b9c14
741c239a85b6
(ans3)
5a234b67c198
9b47821c36a5
c168a935b247
28b9c451637a
65c4ba732981
137a982654cb
875b31924a6c
4c9267ba1853
a6315c487b29
b98615c4a732
32a5768b9c14
741c23a985b6
(ans4)
5a234b67c198
9b48a21c3675
c1678935b24a
28b9c45163a7
65c4ba732981
137a982654cb
875b31924a6c
4c9267ba1853
a6315c487b29
b98615c4a732
32a5768b9c14
741c23a985b6
(ans5)
5a234b67c198
9b47821c3a65
c168a935b247
28b9c451637a
65c4ba732981
137a982654cb
875b319246ac
4c9267ba1853
a6315c487b29
b98615c4a732
32a5768b9c14
741c23a985b6 |
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