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 Christmas Calcudoku 2012-2013 
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Posted on: Wed Dec 26, 2012 10:56 pm




Posts: 693
Joined: Fri May 13, 2011 6:51 pm
Post Christmas Calcudoku 2012-2013
Christmas Calcudoku 2012-2013.

Accepting the Patrick’s invitation (“Calcudoku General”, thread “Lowering level of participation”) reproduced here:

pnm wrote:
clm wrote:
Meanwhile I am sure you will be waiting the special "Christmas" and "New year" puzzles that Patrick must be prepearing ... at that time pse get the 25 points each.

I'm quite busy though, and visiting family over the holidays.

Feel free to submit a candidate puzzle :-)

(file format described here:
viewtopic.php?f=2&t=48&p=1577#p1577
)


I have prepeared this puzzle. It has not been translated to the format referred since it contains new operators (that the software would not recognize), the linear combinations, that I propose as a new type of operators for the future.

Image


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Posted on: Fri Dec 28, 2012 4:41 pm




Posts: 66
Joined: Fri May 13, 2011 9:37 am
Post Re: Christmas Calcudoku 2012-2013
I have to admit, that I do not understand how -2, +2 and x2 could be a 'linear combination'...?


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Posted on: Fri Dec 28, 2012 9:02 pm




Posts: 693
Joined: Fri May 13, 2011 6:51 pm
Post Re: Christmas Calcudoku 2012-2013
nicow wrote:
I have to admit, that I do not understand how -2, +2 and x2 could be a 'linear combination'...?


Thanks for your interest and comment, initially I have intentionally left the things a little "dark" in order to make attractive the clarification of what's that of "linear combination".

The operation itself is a subtraction "-", an addition "+" and a product "x"; for instance, in the cage "48x2", 48 is the final result, the operation is a multiplication, and the final 2 means that the rest of the operands are multiplied by 2, in this particular case (two cells) there is only one operand affected, that is, a x (2b), so 4 and 6 are the operands, or in other words [4,6] is the only valid combination since 4 x (2x6) or 6 x (2x4) produces 48 in both cases.

Now, let's suppose we had the result "11+2" (two cells), we would have these possibilities: [1,5], [1,9], [2,7], [3,4], [3,5], that is, one of the numbers plus twice the other number sums 11. We could say that the operation a + 2b is a linear combination.

A cage "1-2", in three cells, can be obtained with [1,1,5] since 5 - 2x1 - 2x1 = 1.

Finally, if we had "27+3" in a 7x7 Calcudoku (in the proposed puzzle there are not cages with a 3 after the operator), in three cells, what we propose is: a + 3b + 3c, so for instance [1,3,7] is a solution since 3 + 3x1 + 3x7 = 27, but another solution, for instance, could be [3,4,6] since 6 + 3x3 + 3x4 = 27, etc.


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Posted on: Mon Dec 31, 2012 12:15 pm




Posts: 2209
Joined: Thu May 12, 2011 11:58 pm
Post Re: Christmas Calcudoku 2012-2013
Just solved it, cute puzzle, not difficult :-)

It'd be pretty easy to update the software to support this type of puzzle.
Most work would be in supporting the "special operator", because it's
no longer a single character.

Maybe also use a different character to signify the linear combination,
the 2 is a bit confusing (e.g. when you read "10+2" you don't immediately
think "a + 2b = 10")(maybe write out the whole thing: 10 (a+2b) )


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Posted on: Mon Dec 31, 2012 9:38 pm




Posts: 693
Joined: Fri May 13, 2011 6:51 pm
Post Re: Christmas Calcudoku 2012-2013
pnm wrote:
Just solved it, cute puzzle, not difficult :-)

It'd be pretty easy to update the software to support this type of puzzle.
Most work would be in supporting the "special operator", because it's
no longer a single character.

Maybe also use a different character to signify the linear combination,
the 2 is a bit confusing (e.g. when you read "10+2" you don't immediately
think "a + 2b = 10")(maybe write out the whole thing: 10 (a+2b) )


[thumbsup] Thanks for your time, I am glad to hear that, it means that the solution is unique. Yes, your idea for the notation is much better and clearer when using a linear combination inside a cage; in fact I was thinking in the past in the possibility of different types of linear combinations like, using this last notation, could be of course "a + 2b" (asuming the generalization to "a + 2b + 2c" if three cells in the cage, etc.) or "a + 3b" ("a + 3b + 3c + ... " if several cells) but also "a + 2b + 3c" or "3a - b", for instance, giving only two additional examples.

The notation is always the problem because it occupies some space in the top of the cell, in fact, in the past I was thinking in things like 29+23 [with your notation it would be 29 (a + 2b + 3c)], for instance, with three cells, for the case 2 + 2x3 + 3x7 = 29 (so the combination [2,3,7] would be a solution in a 7x7 puzzle, with other solutions like [6,4,5] = 6 + 2x4 + 3x5 = 29, etc.).

Happy 2013.


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Posted on: Fri Dec 06, 2013 4:22 pm




Posts: 35
Joined: Fri May 13, 2011 11:45 am
Post Re: Christmas Calcudoku 2012-2013
or a 20x20 with christmas?


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