7) in method 4 in DSS we used path compression after each operation of find4 might be a change in the height of the tree and in the current version of find4 the tree height is not updated.

a. fix find4 function, that way that if there a change in the tree height the, the new height will be updated, in most efficient way after each call to the function.

b. what is the new complexity of the update ?