Sumoku

For fans of Killer Sudoku, Samurai Sudoku and other variants

Sumoku

Postby cherryblossom » Fri Apr 17, 2009 10:24 pm

I've searched EVERYWHERE online and I can't seem to find these puzzles. Please please please add them to your site.

Here are the game rules if you're unsure what the actually game is:

In these puzzles, the completed diagrams will include each of the numbers from 1 to 9 in the squares of every row and column. Your only clues are provided in the little rectangles within the diagram. They indicate the sum of the digits they contain. Determine the correct number for each square.

I love love love this game! I first played it in my puzzle book Sudoku Variety Volume 4. They are only 18 Sumoku puzzles in this book though.:(
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Postby Pat » Sat Apr 18, 2009 12:55 pm

you mean, what The Times calls "Killer Sudoku" ?
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Re: Sumoku

Postby GoldToyBox » Thu Dec 31, 2015 8:47 pm

I think this is what she is talking about? I was looking for some strategy for the game when I found this post.

All I've figured out so far is; each row ads to 45 (1+2+3+4+5+6+7+8+9= 45) and the little blocks with 3 or 4 have only one possible answer 2+1 and 3+1 and of course the inverse 1+2 and 1+3. 5 thru 17 have more possible.
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Re: Sumoku

Postby Mathimagics » Sat Jan 02, 2016 1:46 pm

That is indeed "Killer Sudoku" - see Wiki entry(Killer Sudoku).
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Re: Sumoku

Postby carls.haven » Fri Mar 18, 2016 11:42 pm

I don't think this is "Killer Sudoku" because I have checked Kappa Book Sudoku Plus #295 and at least one of them is, by its listed solution, correctly solved _without_ using Nonets. I only have three Kappa books, but none of the "Sumokus" use Nonets, and neither does GoldToyBox's picture.
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Re: Sumoku

Postby tarek » Sat Mar 19, 2016 6:02 pm

Hi all,

If there is no nonet restriction but the line restriction still applies then it is a "killer latin square" because sudoku is Latin Square + nonet

You can call it KLS or Killer LS or whatever name you like as long as the underlying principle is easily conveyed.

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Re: Sumoku

Postby Smythe Dakota » Sun Mar 20, 2016 3:22 pm

In your photo, all of the jigsaw pieces consist of only 2 cells, except for one that has 3 cells.

In some I have seen, some jigsaw pieces consist of 4 cells, 5 cells, or even more. And the pieces needn't be rectangles. For example, a 4-cell piece could consist of r1c1, r2c1, r2c2, and r3c2.

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Re: Sumoku

Postby carls.haven » Mon Mar 21, 2016 1:44 am

Okay, so;
Sumoku in The Times is http://puzwiki.com/index.php/Killer_Sudoku (thanks Pat)
and
Sumoku in Kappa Books is http://puzwiki.com/index.php/Killer_Latin_Square (thanks tarek)
is this agreeable?
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Postby Pat » Mon Mar 21, 2016 11:50 am

carls.haven wrote:Okay, so;
Sumoku in The Times is http://puzwiki.com/index.php/Killer_Sudoku (thanks Pat)
and
Sumoku in Kappa Books is http://puzwiki.com/index.php/Killer_Latin_Square (thanks tarek)
is this agreeable?

sorry, my mistake,
already in the original post it says "every row and column"
( no mention of boxes ),
likewise in image provided by GoldToyBox

the puzzles in The Times
do also have boxes
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Postby Pat » Mon Mar 21, 2016 11:54 am

Smythe Dakota wrote:
    the pieces needn't be rectangles.

    For example, a 4-cell piece
    could consist of r1c1, r2c1, r2c2, and r3c2.

and the range would be
    6-34
OR add a rule of no-repeat-within-cage,
then the range is reduced to the familiar
    10-30
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Re: Sumoku

Postby tarek » Mon Mar 21, 2016 12:15 pm

carls.haven wrote:Okay, so;
Sumoku in The Times is http://puzwiki.com/index.php/Killer_Sudoku (thanks Pat)
and
Sumoku in Kappa Books is http://puzwiki.com/index.php/Killer_Latin_Square (thanks tarek)
is this agreeable?


:D
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Re: Sumoku

Postby carls.haven » Mon Mar 21, 2016 3:09 pm

Who would have thought it would take 7 years from the original question to straighten that out lol! Thanks all, as I am happy that I now know for sure which is which. However, as I am new to "Killer"s (both kinds lol,) Pat could you please elaborate on your reply to Smythe Dakota? I understand the basics but I don't understand what you are explaining.
edit; forgot how to count apparently lol
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Re: Sumoku

Postby Smythe Dakota » Mon Mar 21, 2016 4:11 pm

carls.haven wrote: .... Pat could you please elaborate on your reply to Smythe Dakota? ....

I think Pat just means that, within a 4-cell cage, if all four cells are in the same row or column, then (to avoid duplicate digits in the row or column) the minimum 4-digit sum is 1+2+3+4 which is 10, and the maximum is 9+8+7+6 which is 30.

The same would be true even if the four cells are not all in the same line, as long as you add a no-repeat-within-cage rule.

Without such a rule, the minimum would be 1+1+1+1 which is 4, and the maximum would be 9+9+9+9 which is 36.

However, if you invoke a rule that a cage must be rook-connected, then you'll find that it is not possible to have a 4-cell cage whose cells are all in different rows (or different columns). Therefore (try it!), even without a no-repeat-within-cage rule, the minimum is 1+2+1+2 which is 6, and the maximum is 9+8+9+8 which is 34, as long as you still have the no-repeat-within-row and no-repeat-within column rules.

By "rook-connected" I mean that it must be possible to travel from any cell in the cage to any other cell in the cage, staying within the cage, with a sequence of 1-cell horizontal and vertical movements. This is a standard constraint that almost everybody invokes in all these kinds of variations. No disconnected cages (like the Hawaiian Islands) allowed!

I think the three (or more) variations put forth in this thread are all based on the same general idea (cages), but have different constraints. Still another such variation is the jigsaw Sudoku, where instead of having nine 3x3 boxes you have nine 9-cell cages (irregularly shaped but each cage is rook-connected), with no-repeat-within rules applied to rows, columns, and cages, rather than to rows, columns, and boxes. I even saw a 7-by-7 version once (digits 1 through 7), where the cages could not be boxes because 7 is a prime number.

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Re: Sumoku

Postby carls.haven » Mon Mar 21, 2016 4:32 pm

Ah, yes, that makes sense, thank you!
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Re: Sumoku

Postby tarek » Wed Mar 23, 2016 9:25 am

When you think about it & see the original Killer Sudokus published in the times that had sum cages that do not allow number repetition, then you can see that the 9x9 Vanilla sudoku is nothing but a Killer Latin square (with 9 non intersecting 3x3 boxes of sum 45) :D

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