For a 2-3 tree containing real numbers, design an algorithm for computing the range (i.e., the difference between the largest and smallest numbers in the tree) and determine its worst-case efficiency. You may describe the steps of this algorithm in English.

Scenario 3: Computing a Tree The algorithm for building phylogenetic trees is O(n^4). Suppose you need to build a tree of 1,000 items. On your computer, it takes 1 minute to build a tree of 200 items. How long will it take to build a tree of the complete data set?

After three iterations, a possible tree obtained by Prim Algorithm is illustrated below. The tree is represented by orange vertices and red edges. The tree is obtained if the algorithm starts from vertex: * 8 1 15 7 1 2 12 E G F O E all answers are incorrect (except "all answers are correct") all answers are correct (except "all answers are incorrect")

Solve this Algorithm problem. ( Do not use AI tools to solve it)

Using python programming language.  Design a function to check if a binary tree is balanced. A balanced tree is defined to be a tree such that the heights of the two subtrees of any node never differ by more than one.

A Binary Search Tree (BST) can be used to efficiently implement a sorted set. It stores uniquevalues and offers an efficient membership method (contains).A binary search tree (BST) is a binary tree with the additional binary search tree property.The binary search tree property states that for every node n in the tree1. n.data is greater than the data value of all nodes in the sub-tree rooted with n.left.2. n.data is less than the data value of all nodes in the sub-tree rooted with n.right.As we are implementing a set, all data (strings) in the tree will be unique. Every node in the treewill have its own distinct string. Strings will be compared using the canonical way (as defined bythe compareTo() method in the String class).For example, the binary tree on the left (below) IS a binary search tree and the one on the rightis NOT.You will implement several methods in the BinaryTree and BST classes. The BST class mustextend the BinaryTree class. Methods that you must complete (implement or…

Given an m-by-n chocolate bar, you need to break it into mn 1-by-1 pieces. You can break a bar only in a straight line, and only one bar can be broken at a time. Design an algorithm that solves the problem with the minimum number of bar breaks. What is this minimum number? Breaking the chocolate bar can be represented by a binary tree.