狗爺語錄

After a series of kakuro strategies about difference of cells, here comes a variation of theme: sum of seemingly unrelated cells. Here is the starting[......]

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In previous post on Kakuro series, I showed how a simple difference of 2 cells can break through a seemingly difficult opening. Now I’m going to show a similar but more advanced version: difference of multiple cells.

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Last time I have had discussed about using arithmetics to solve kakuro (part 1, part 2); most of the methods are trivial for everybody except the last case which is not apparent. This one is also not apparent as well, and I have almost never encountered it except once. It is about:

Calculating the difference between 2 cells!

How can the difference of 2 cells be helpful? See below for initial configuration:

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As discussed in previous post, kakuro can be tackled using simple addition and subtraction during initial stage, particularly if the kakuro puzzle contains some certain arrangement pattern. As an example, see the figure below:
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Sort of puzzled — I haven’t seen anywhere mentioning that some kakuro puzzles can be solved with the help of simple arithmetics (yet). Indeed I don’t mean the whole puzzle can be solved merely with addition and subtraction; nor do I mean every puzzle can be worked on this way. Arithmetics usually only works at the beginning, and only works with some kind of puzzles. Here is a simple example. Consider the following fragment:

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