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The program b-tree.py in the class webpage contains implementations of basic B-tree tree operations, in-cluding insertion, search and display. Write functions to perform the following operations:
Compute the height of the tree
Extract the items in the B-tree into a sorted list.
Return the minimum element in the tree at a given depth d.
Return the maximum element in the tree at a given depth d.
Return the number of nodes in the tree at a given depth d.
Print all the items in the tree at a given depth d.
Return the number of nodes in the tree that are full.
Return the number of leaves in the tree that are full.
Given a key k, return the depth at which it is found in the tree, of -1 if k is not in the tree. As usual, write a report describing your work.