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55

Answer: Reasoning:


11

Partial answer, Tasks 2-4 Finished Task 2 Finished Task 3 (what a doozy) Finished Task 4 (easier than 3)


10

Note: Answer:


7

Partial Answer Finished Task 1


2

I was going to post a different answer, only to realize it was the same as Magma's. So I had to find a new one:


1

The answer is no, and not only for rectangular shapes, but any shape of room, with the assumption that there exists a tiling.And the proof is as follows:


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