Cross Sums

A19327

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Joined
Feb 19, 2023
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This is one of the most difficult Cross Sums and would appreciate any help on this.

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What kind of help do you expect?

This is from a mathematical point of view a huge linear equation system [imath] \mathbf{A\cdot x=b} [/imath] with a sparse matrix [imath] \mathbf{A} [/imath] with [imath] 0,1 [/imath] as matrix entries that has to be inverted. IIRC there are specific algorithms that deal with such problems.

The intention of such puzzles is to find a solution by trial and error. This can hardly be done on the internet. I would start with the lowest numbers [imath] 5,6,7[/imath] and [imath] 8 [/imath] but already these result in a variety of possibilities. Better use a pencil.
 
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