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Query time of the kd-tree lower bound 5.1 In the proof of the query time of the kd-tree we found the following recurrence: if n=1,

Query time of the kd-tree lower bound

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5.1 In the proof of the query time of the kd-tree we found the following recurrence: if n=1, Q(n)= 2+2Q(n/4), ifn >1. Prove that this recurrence solves to (n) = O(n). Also show that (vn) is a lower bound for querying in a kd-tree by defining a set of n points and a query rectangle appropriately

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