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Non-slicing floorplan?

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lh-

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i'm trying to implement my own floorplanning algorithm. this is what i got after running it on given blocks
IMG_20190210_224515.jpg

now i'm trying to construct the corresponding tree (again see in the picture)
but i'm stuck. am i putting the 'W' (wheel) node correctly? is it really a wheel?

the "6, 10, 12" blocks won't let slice the floorplan so that's why i think it's a wheel.
or maybe my algorithm is working incorrectly and it's not possible to get such floorplan, at all.

please correct me, where am i wrong? thanks
 

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