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Notice how the highlighted region shrinks at each step. The algorithm never examines points outside the narrowing window. In a balanced tree with nnn points, this takes about log⁡4(n)\log_4(n)log4​(n) steps. For a million points, that's roughly 10 steps instead of a million comparisons.

Hunter said: "They were very fierce animals to face in the hunt, so the symbolism of the boar is a lot about the strength of it - a very appropriate adversary in battle."

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Офтальмоло

When another data point is inserted and the Voronoi diagram reconstructed, the newly created region displaces the area that once belonged to the old regions. Those points whose regions were displaced are considered natural neighbours to the new point. The weight of each natural neighbour is given by the area taken from the total area occupied by the new region. In 3D, we measure polyhedral volumes instead of areas.

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