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  1. Write a function that takes in a Binary Search Tree (BST) and a positive integer k and returns the kth largest integer contained in the BST. You can assume that there will only be integer values in the BST and that k is less than or equal to the number of nodes in the tree. Also, for the purpose of this question, duplicate integers will be treated as distinct values. In other words, the second largest value in a BST containing values {5, 7, 7} will be 7, not 5. Each BST node has an integer value, a left child node, and a right child node. A node is said to be a valid BST node if and only if it satisfies the BST property: its value is strictly greater than the values of every node to its left; its value is less than or equal to the values of every node to its right; and its children nodes are either valid BST nodes themselves or None / Null. Sample Input: tree = 15 / \ 5 20 / \ / \ / \ / \ 2 5 17 22 / \ 1 3 k = 3 Sample Output: 17
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  2. Write a function that takes in a non-empty sorted array of distinct integers, constructs a BST from the integers, and returns the root of the BST. The function should minimize the height of the BST. You've been provided with a BST class that you'll have to use to construct the BST. Each BST node has an integer value, a left child node, and a right child node. A node is said to be a valid BST node if and only if it satisfies the BST property: its value is strictly greater than the values of every node to its left; its value is less than or equal to the values of every node to its right; and its children nodes are either valid BST nodes themselves or None/Null. A BST is valid if and only if all of its nodes are valid BST nodes. Note that the BST class already has an insert method which you can use if you want. Sample Input: array = [1, 2, 5, 7, 10, 13, 14, 15, 22] Sample Output: 10 / \ 2 14 / \ / \ / \ / \ 1 5 13 15 \ \ 7 22 // This is one example of a BST with min height // that you could create from the input array. // You could create other BSTs with min height // from the same array; for example: 10 / \ 5 15 / \ / \ / \ / \ 2 7 13 22 / \ 1 14
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  3. Write three functions that take in a Binary Search Tree (BST) and an empty array, traverse the BST, add its nodes values to the input array, and return that array. The three functions should traverse the BST using the in-order, pre-order, and post-order tree-traversal techniques, respectively. if you're unfamiliar with tree-traversal techniques, we recommend to learn the conceptual overview of tree-traversal technique before starting to code. Each BST node has an integer value, a left child node, and a right child node. A node is said to be a valid BST node if and only if it satisfies the BST property: its value is strictly greater than the values of every node to its left; its value is less than or equal to the values of every node to its right; and its children nodes are either valid BST nodes themselves or None/Null. Sample Input: tree = 10 / \ 5 15 / \ \ 2 5 22 / 1 array = [ ] Sample Output: inOrderTraverse = [1, 2, 5, 5, 10, 15, 22] // where the array is the input array preOrdreTraverse = [10, 5, 2, 1, 5, 15, 22] postOrderTraverse = [1, 2, 5, 5, 22, 15, 10]
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  4. Write a function that takes in a potentially invalid Binary Search Tree (BST) and returns a boolean representing whether the BST is valid. Each BST node has an integer value, a left child node, and a right child node. A node is said to be a valid BST node if and only if it satisfies the BST property: its value is strictly greater than the values of every node to its left; its value is less than or equal to the values of every node to its right; and its children nodes are either valid BST nodes themselves or None/Null. A BST is valid if and only if all of its nodes are valid BST nodes. Sample Input: tree = 10 / \ 5 15 / \ / \ / \ / \ 2 5 13 22 / \ 1 14 Sample Output: true
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  5. Write a BST class for a binary search tree. the class should support: -> Inserting values with the insert method. -> Removing values with the remove method; this method should only remove the first instance of a given value. -> Searching for values with the contains method. Note that you can't remove values from a single-node tree. In other words, calling the remove method on a single-node tree should simply not do anything. Each BST node has an integer value, a left child node, and a right child node. A node is said to be a valid BST node if and only if it satisfies the BST property. its value is strictly greater than the values of every node to its left; its value is less than or equal to the values of every node to its right; and its children nodes are either valid BST node themselves or None/Null. Sample Usage: // Assume the following BST has already been created: 10 / \ 5 15 / \ / \ / \ / \ 2 5 13 22 / \ 1 14 // All operations below are performed sequentially insert(12): 10 / \ 5 15 / \ / \ / \ / \ 2 5 13 22 / / \ 1 12 14 remove(10): 12 / \ 5 15 / \ / \ / \ / \ 2 5 13 22 / \ 1 14 contains(15): true
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  6. Write a function that takes in a non-empty array of arbitrary intervals, merges any overlapping intervals, and returns the new intervals in no particular order. Each interval interval is an array of two integers, with interval[0] as the start of the interval and interval[1] as the end of the interval. Note that back-to-back intervals aren't considered to be overlapping. For example, [1, 5] and [6, 7] aren't overlapping; however, [1, 6] and [6, 7] are indeed overlapping. Also note that the start of any particular interval will always be less than or equal to the end of that interval. Sample Input: intervals = [[1, 2], [3, 5], [4, 7], [6, 8], [9, 10]] Sample Output: [[1, 2], [3, 8], [9, 10]] // Merge the intervals [3, 5], [4, 7], and [6, 8]. // The intervals could be ordered differently.
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What is Programming

Programming is a set of instructions given to the computer that is written in computing languages that are processed by the CPU. The aim is to find the set of instructions that will automatically enable the task. Programming is mostly used by software developers, engineers, security hackers, etc.

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C++

C++ is one of the most widely used languages among programmers. C++ is efficient in running machine-level programs to sophisticated applications, hence, it is called a middle-level language. The basic syntax of C and C++ are the same. It is an object-oriented programming language, which makes it more efficient and easy-to-use than C.

Java:

Java is a high-level language, in which the code is compiled to a byte-code and then Java Virtual Machines (JVM) is used for running the compiled code, making it platform-independent. Java is an object-oriented language and is suitable for developing high-quality web applications and software because of it’s a robust exception and error handling support.

Python :

Python is a high-level language and provides immense support to developers, programmers, and researchers with ample amounts of libraries making it one of the most used languages for web development and machine learning. Python syntax is based on indentations which makes it much more readable than java. Python supports object-oriented programming as well.

HTML/ CSS :

HTML stands for HyperText Markup Language, it is used to develop web-pages by defining the set of structures using tags. HTML is generally used along with CSS and JavaScript. CSS makes the HTML content more presentable by modifying the appearance using attributes and JavaScript is used to change the static behavior of HTML content using Data Object Models (DOM).

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