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- Can someone explain why the result of Prim's method is always a Minimum Spanning Tree?A) Insert node 55 into the tree, and draw the tree after inserting 55. B) After the insertion of 55, is the tree balanced? If no, re-balance the tree; if yes, justify your answer. Please show both part A and B: You are implementing a binary search tree class from scratch, which, in additionto insert, find, and delete, has a method getRandomNode() which returns a random nodefrom the tree. All nodes should be equally likely to be chosen. Design and implement an algorithmfor getRandomNode, and explain how you would implement the rest of the methods.
- Why does using Prim's method always result in a Minimum Spanning Tree being returned?Write a function label_squarer that mutates a Tree with numerical labels so that each label is squared. def label_squarer(t): """Mutates a Tree t by squaring all its >>> t = Tree(1, [Tree(3, [Tree(5)]), Tr >>> label_squarer(t) >>> t Tree(1, [Tree(9, [Tree(25)]), Tree(49). IL I| | "*** YOUR CODE HERE ***"What is the preorder traversal of this tree? E X H
- Write a method that, given any two nodes u and v in a tree T whose root node is s, rapidly determines whether u is a descendant or ancestor of v.Insert the following values into an initially empty Red-Black tree in the order given.Insert: 93, 85, 24, 13, 47, 59, 18, 36, 14, 35, 77, 63 Also, answer the questions below.What is the black-height of node 59?What is the height of node 24?write a program to check if a tree is a generic tree or not. Return type will be Boolean.