This is very important because most of the operations we perform in the binary heap scan the tree from top to bottom or bottom to top which leads to complexity of O(log n). Since binary heap is a complete binary tree, the height of the tree is always O(log n). min-heap: In min-heap, a parent node is always smaller than or equal to its children nodes.įigure 1 shows an example of a max and min heap.max-heap: In max-heap, a parent node is always larger than or equal to its children nodes.There are two types of heaps depending upon how the nodes are ordered in the tree. The heap property states that every node in a binary tree must follow a specific order. It would also be better in this case to include cstdlib and use return EXIT_SUCCESS and return EXIT_FAILURE to make the code more readable.A binary heap is a complete binary tree and possesses an interesting property called a heap property. In this case you would need both return 1 and return 0. The return statement is necessary when the program might exit due to failures return. In a program as simple as this the return 0 statement is not necessary, the compiler will take care of it. The above code does not handle the case where x is already in the tree, in large lists of values there may be duplicates. void insertSearchNode(Node* &tree, int x) //insert integer x into the BST In modern C++ NULL has been replaced by nullptr. In several places in the code there is the assignment of NULL to pointers. The above for loop is called a ranged for loop. void insertArrayTree(std::vector arr, Node* &tree) //insert the array integer into the nodes label of BST Note that the `std::vector.size() function is not referenced in the following code. They are easier to use, here's an example updating on of the functions in the code. Prefer container classes over old C style arrays. I = insertIntoArray(arr, tree->right, i)
Void insertArrayTree(int arr, int n, Node* &tree) //insert the array integer into the nodes label of BST If(x > tree->label) insertSearchNode(tree->right, x) If(x label) insertSearchNode(tree->left, x) Void insertSearchNode(Node* &tree, int x) //insert integer x into the BST Given an array of integer (all different from each other), this program creates a BST with the array elements in order to sort them and put them back into the array, using the BST properties.
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