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Sorry for the late reply, I subscribed to get answers via mail, but didn't see any.
Area D is the only one allowed to overlap. A, B and C are not. In fact A *has* to overlap fully with D.
Area D is as described in the problem, it is not seen in the visual representation. I can upload an amended version that shows the figures more clearly.
I've added shape letters to all except A's.
I have outlined the D area around one of the C's. I have not done so with all as it'd become confusing without some sort of interactivity to enable and disable it.
I have also added E's. The E's are essentially inefficiencies. It'll never be perfect with the restrictions that exist.
I hope this answers the questions you had.
Thank you for the welcome to the forum.
Hello, this is my first post here.
I'm looking for help for a geometry problem.
Multiple shapes has to be placed as close to another shape on a grid as possible.
The different shapes are:
2x2 squares(A). There are 100 of these and they have to be placed as close to another shape I'll mention below as possible.
3x3 square(B). There are 2 of these. There can be no more than 7 tiles between the 2 B's. The primary goal is to place the 100 A's as close to one of the B's as possible.
The last shape complicates it a bit.
1x1 square(C). This shape creates a 7x7 area(D) underneath it(C always in its center) and all A's must have all 4 tiles placed on top of the area it creates, however not on C itself.
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So to solve the problem:
All 100 A's must be as close to the 2 B's as possible while also being on top of D areas. Placing the C's without obstructing too much is key.
Below is an incomplete attempt:
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