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(2dTree Implementation) Develop a data type called KdTreePointST that uses a 2dTree to implement the above symbol table API

Computer Science May 03, 2023

(2dTree Implementation) Develop a data type called KdTreePointST that uses a 2dTree to implement the above symbol table API.

A 2dTree is a generalization of a BST to two-dimensional keys. The idea is to build a BST with points in the nodes, using the x- and y-coordinates of the points as keys in strictly alternating sequence, starting with the x-coordinates.

?  Search and insert. The algorithms for search and insert are similar to those for BSTs, but at the root we use the x-coordinate (if the point to be inserted has a smaller x-coordinate than the point at the root, go left; otherwise go right); then at the next level, we use the y-coordinate (if the point to be inserted has a smaller y-coordinate than the point in the node, go left; otherwise go right); then at the next level the x-coordinate, and so forth.

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