Kakuro strategy: difference of multiple cells

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.

Kakuro initial layout

Kakuro initial layout

In this layout it is impossible to get difference of exactly 2 cells, as the opening is not exactly symmetric. Nonetheless the same strategy can be employed, see below.

Difference of multiple cells

Difference of multiple cells

That’s it. The difference we get this time is:

A+B+C-D = 48-27 = 21

Is that enough? No. But we still have another piece of useful information: C ≤ 5 (Why?)

Even with largest possible value of C (=5), A+B+C ≤ 22. That forces to a single solution, C=5 and D=1. (While A+B=17, one of them is 8 and another is 9)

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