a$)$ Is the tree balanced? $($Briefly describe why$)$

b$)$ If we delete node $45($without performing rotations$)$ is the

result a balanced? $($show the tree after deletion and briefly

describe why the tree is $($or not$)$ balanced$)$

c$)$ If we delete node $50($without performing rotations$)$ is the

result a balanced tree? $($show the tree after deletion and briefly describe why the tree is $($or not$)$ balanced$)**$ The delete operations are cumulative $(45$ is no longer in the tree$)$