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Transcribed Image Text:To show that the root of the subtree contains the largest value occurring anywhere in that subtree for a max-heap.
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- 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…arrow_forwardI need help in being able to detect a max heaparrow_forwardSuppose we have an ArrayHeap that uses the array representation from class (also called "tree representation 3B" in lecture). Recall that in this representation that the leftmost item is unused. Consider a heap with the following underlying array: -8 -2 9. 1 10 10 12 Suppose we perform an in-order traversal of the heap represented by this array. What will be the last value in the in-order traversal? O -8 O 5 O-2 O 9 O 8 O 1 O 10 O 12arrow_forward
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