A complete binary tree is stored in an array called treeNodes, which is indexed from 0 to 99. The tree contains 85 elements.

Manually create a binary search tree from the following list 32 89 72 56 54 20 14 21 18

2-3-4 Trees Java Programming Given the following sequence of numbers:   4.0 5.0 6.0 1.0 2.0 3.0 2.5 3.5 7.0 3.9 8.0 3.8 6.5 6.7 9.0   Show what the 2-3-4 tree looks like after each insert. This means you start with a blank tree and then show the 2-3-4 tree after inserting 4.0. Then, from that 2-3-4 tree, show what it looks like after you insert 5.0 into it. Repeat for the remaining numbers. There are 15 numbers to insert so you should be showing 15 trees progressively being built. Assume we are maintaining numbers in ascending order correctly within the tree as discussed in the slides. From the tree you have from completing question 1, which of the following is true (remember that more than one answer may apply) There are 6 leaf nodes in the tree No matter what the next number is to insert, there will definitely be a node that will be split Each non-leaf node in the final tree has exactly 2 children None of the above Finally, which of the following concepts about a 2-3-4 tree are…

JavaScript: Search the Tree A binary search tree is a data structure that consists of JavaScript objects called "nodes". A tree always has a root node which holds its own integer valueproperty and can have up to two child nodes (or leaf nodes), a left and right attribute. A leaf node holds a value attribute and, likewise, a left and rightattribute each potentially pointing to another node in the binary tree. Think of it as a Javascript object with potentially more sub-objects referenced by the left and right attributes (as seen in assignment 4). There are certain rules that apply to a binary tree: A node's left leaf node has a value that is <= than to its own value A node's right leaf node has a value that is => its own value In other words: let node = {value: <some number>left: <a node object with value attribute <= this object's value>right: <a node object with value attribute >= this object's value>} If you need a visual aid, below is an example of…

C++ 2 Binary search tree Consider the following BSTNode structure that represents a binary search tree node, and the BSTree structure that represents a binary search tree. The root pointer points to the root node, and size book-keeps the number of items in the binary search tree. template struct BSTNode ( T data; BSTNode left; BSTNode right; // BSTNode. parent; BSTNode (T d) : data (d), left (0), right (0)/, parent (0) / 0 // invariant 1: // (left // invariant 21 (right! null) inplies (data struct BSTree ( BSTNode root; unsigned int size: BSTree () BSTNode BSTNode BSTNode .min(); root (NULL), size (0) () insert (T d); find (T d); BSTNode next (BSTNode current); void renove (BSTNode node); //invariant: // (root = null) equiv (size -- 0) }; Implement the insert and find methods. insert should insert element d in the tree, and find takes an element d and returns a pointer to the node that has d as value if it exists. Otherwise, it returns NULL. • Implement the min, and next…

Q5_2\ Draw the binary search tree that would result from the insertion of the following integer keys: 14   58   18    10    99   52     33    69     47     17.

In the Union/Find algorithm, the ranks of the nodes on a path will increase monotonically from?a) leaf to rootb) root to nodec) root to leafd) left subtree to right subtree

13. The nodes in which of the trees below will be printed in alphabetical order by the following recursive procedure? def printTree (Tree) : if (Tree is not None): print (Tree.Value) printTree (Tree.Left) printTree (Tree.Right) А. C. B A B B B.

Which of the following data structures can we use the [] operator on? Arrays B-Trees Maps Multimaps

1. Stack 2. Queue 3. Singly-linked list 4. Binary search tree 5. AVL tree 6. Priority queue 7. Hash table Can be used as an auxiliary data structure for expression evaluation with a binary tree.   Often implemented with complete binary trees satisfying a partial order property.   Data is not ordered, but insertion and search are expected to take O(1) time.   Data is fully ordered, insertion, removal and search are guaranteed to be less than O(n) time.