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python - Make Full binary tree with special conditions

I want to make full binary tree of height k with the given points in a page. each point has x & y parameters in Cartesian coordinates. edges of tree should not cut each other.

test case: k = 2 points:

x y

100 300

200 300

500 301

200 200

300 201

400 203

500 206

300 101

402 100

output: 4 1 0 2 0 3 6 5 7

enter image description here

question from:https://stackoverflow.com/questions/65872050/make-full-binary-tree-with-special-conditions

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