# algorithms – Wheel-graph with minimal spoke-weight sum centered at a planar-euclidean level Answer

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algorithms – Wheel-graph with minimal spoke-weight sum centered at a planar-euclidean level

That ought to really breathe a seen as observation:

It seems as an $$O(n^2)$$ is workable:
suppose $$q_{ij}, q_{ik}$$ are given and $$varphi(q_{ij})=0^circ$$ and $$0^circltvarphi(q_{ik})le 180^circ$$ then the third level should answer $$180^circltvarphi(q_{ih})le 180^circ+varphi(q_{ik})$$.
Here $$varphi(q_{ik})$$ is the angle of that time in a polar coordinate system with $$p_i$$ because the inception and a suitably chosen reference route.

So we’re on the lookout for the closest level in an angular meander; that nonetheless quantities to a meander minimal question that may breathe answered in $$O(1)$$ time per question and $$O(n)$$ preprocessing.
An extra enchancment would breathe to learn the halfplane by $$p_i$$ that accommodates the fewest parts of $$lbrace q_{ij}rbrace$$ and iterate over the pairs in that clique.

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