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what to do with the data?
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Posted on: Tue Mar 06, 2012 2:19 pm

Posts: 698
Joined: Fri May 13, 2011 6:51 pm
Re: what to do with the data?
giulio wrote:
Ditto. I joined on 2011-11-03, and I only managed to solve two of those 8-W puzzles (on 2011-12-27 and on 2012-02-21).
clm wrote:
However, I think they all can be solved analytically (with minimum trial and error) using simultaneously all techniques (after we have obtained all possible combinations for all cages): addition property of rows and columns, multiplication property, parity, maximums and minimums in the sum of cages, "X-ray", common numbers in the intersection areas to make "visible" the "hidden" numbers, possible location of some prime numbers like 5, 7, 11 ... , etc.) but it's true that sometimes they take time (those 9x9's on tuesdays are not very suitable for timed puzzles )

My apologies for being picky, but if you say "with minimum trial and error", it means that they are not solved analytically. I consider a puzzle to be analytically solvable only when I am certain of all numbers that I write in them. Even if sometimes, to do so, I need to make lists and consider how permutations of different cages eliminate each other. And even if, sometimes, my certainties are misplaced, I make mistakes, and have to start from scratch.

But you are right, giulio, it is not well expressed, I missed part of the phrase " ... I think they all can be solved analytically (though this can be accelerated with minimum trial and error) ... ". Once you have obtained the numbers that compose all cages, for instance, and a big part of the puzzle filled, to "position" one of those numbers in a cage and see the global effect could be considered part of the analysis (this was already discussed, in some way it's like when you have to break 667 into its prime factors, you make attempts ... "it is not divisible by 2, 3, 5, 7, 11, ... ", until you reach the 23 and thus the 29), you could do it mentally, virtually, in abstract, but if you can gain time there is no sense when just writing the number with the pencil (or in the screen) helps (this is more or less what you are saying with ... "consider how permutations of different cages eliminate each other"). In other words, a puzzle would not be analytically doable if the only possibility to solve it is to be "lucky" among many many trials randomly performed and when you have spent a lot of hours. Perhaps we could define a "probability of solution" .

Posted on: Tue Mar 06, 2012 4:35 pm

Posts: 98
Joined: Fri May 13, 2011 12:48 am
Re: what to do with the data?
giulio wrote:
My apologies for being picky, but if you say "with minimum trial and error", it means that they are not solved analytically. I consider a puzzle to be analytically solvable only when I am certain of all numbers that I write in them. Even if sometimes, to do so, I need to make lists and consider how permutations of different cages eliminate each other. And even if, sometimes, my certainties are misplaced, I make mistakes, and have to start from scratch.

This is trial and error.

Posted on: Thu Mar 08, 2012 1:03 am

Posts: 698
Joined: Fri May 13, 2011 6:51 pm
Re: what to do with the data?
Hi, Patrick, giulio, picklepep, beaker, starling (the referred subject links in some way with the thread “Something I’ve always been curious about”) …

I have opened a new topic (in the section “Solving strategies and tips”) named “A 6x6: Is the analysis enough to solve a Calcudoku?” so perhaps we may continue there the debate on this subjects (the analysis and the “solver rating”) in order to “clear” the topic “what to do with the data” that sould mainly be oriented to the Patrick’s paper “On the Choice of Browser and Numerical Intelligence” (by the way the spectacular increase of puzzlers these recent days is clearly the result of the impact of the Patrick’s paper ).

A second reason to move the discussion is that this time I am including a detailed solution of a 6x6 that I think should be better located in that other section.

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