Prove that Mergesort has a runtime of O(n*lg(n)), where n is the length of the list to be sorted
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Prove that Mergesort has a runtime of O(n*lg(n)), where n is the length of the list to be sorted.
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- Task:implement a function that reverses a list of elements by pushing them onto a stack in one order and writing them back to the list in reversed order P.S:Answer must be in pythonC++Create 1 million integers randomly and store them in an array. Find the 100 smallest integers and print them. Use a Priority Queue implemented by Heap using array, and print the execution time too.8) Implement bucket sort with an array of lists data structure to sort i) a list of strings, ii) a list of floating point numbers and iii) a list of integers, which are uniformly distributed over a range, for an appropriate choice of the number of buckets
- Write java programs for the following operations on Circular Linked List. (i) Creation (ii) insertion (iii) deletion (iv) traversalSolve this Question in C++ Given the head of a linked list, rotate the list to the right by k places. Please hard code your initiallinked list.Recursion and list processing Write a maxel that returns the maximum element in an arbitrarily complex list (e.g., list that may contain lists, which may contain lists, and so on). For example, (maxel '(((5)) (9 (3)) 7)-> 9
- Implement MSD string sorting using queues, as follows: Keep onequeue for each bin. On a first pass through the items to be sorted, insert each item intothe appropriate queue, according to its leading character value. Then, sort the sublistsand stitch together all the queues to make a sorted whole. Note that this method doesnot involve keeping the count[] arrays within the recursive method.Given the following non-recursive implementation of depth-first search: A. Complete the implementation of depth-first search by filling in the TODO sections with the appropriate C++ code. Remember to: Print out each node you visit. Visit each node exactly once. B. What is the purpose of stack<string> q? C. What is the purpose of set<string> v?Please code this in Java Or C or C++ Given two numbers represented by a linked list, where each node contains a single digit. The digits are stored in reverse order, such that the 1's digit is at the head of the list. Write a function that adds the two numbers and return the sum as linked list: Example : Input : (7-> 1 -> 6) + (5-> 9-> 2). That is 617 + 295 = 912 Output : 2-> 1 -> 9 Expected time complexity : O(m+n), where m and n are no. of nodes in first and second linked list respectively.
- By using JAVA, write a recursive display function, that print a linked list in reverse order.1. Here is how the built-in sum function can be combined with Python’s comprehension syntax to compute the sum of all numbers in an n x n data set, represented as a list of lists: sum(sum(subset) for subset in data) Group of answer choices True False 2. Which of the following statements are correct? Group of answer choices a) A stack is a collection of objects that are inserted and removed according to the Last-in First-out principle; whereas, queue is based on the First-in First-out principle. b) A queue would be a logical choice for a data structure for a Web server responding to requests. c) Unlike arrays, linked list elements are not stored at a contiguous location; the elements are linked using pointers.write a function in python that recieves the reference to the root (t) of a binary search tree and returns a listcontaining the keys in the path from the root of (t) to the largest key in (t). The function must use recursion Starting code: def path_to_largest(t): return [t.key]