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That's very interesting Tovya. It's as if you gained the ability to use a part of the brain you hadn't been using before.
I know what you mean because a few weeks ago I didn't study mathematics heavily, but then I started studying really hard for the Olympiads, and now it's strange because I notice objects with square, triangle, rectangle, spherical or parabolical shapes and I think of them as mathematic problems; I never saw it like that before.

It's getting late so I'll be checking the answers tomorrow. Good night!

 

EDIT: Hehe that was my first answer too but it's wrong, try thinking a little more! I'll be checking tomorrow.