Compare the trees constructed for Exercises 12 and 15 in terms of the number of internal nodes, full leaf nodes, empty leaf nodes, and total depths of the two trees.

Data from in Exercise 12

(a) Show the result of building a PR quadtree from the following points (inserted in the order given). Assume the tree is representing a space of 64 by 64 units. A (20, 20), B (10, 30), C (25, 50), D (35, 25), E (30, 45), F (30, 35), G (45, 25), H (45, 30), I (50, 30).

(b) Show the result of deleting point C from the tree you built in part (a).

(c) Show the result of deleting point F from the resulting tree in part (b).

Data from in Exercise 15

(a) Show the result of building a bintree from the following points (inserted in the order given). Assume the tree is representing a space of 64 by 64 units. A (20, 20), B (10, 30), C (25, 50), D (35, 25), E (30, 45), F (30, 35), G (45, 25), H (45, 30), I (50, 30).

(b) Show the result of deleting point C from the tree you built in part (a).

(c) Show the result of deleting point F from the resulting tree in part (b).