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- Towers of Hanoi. There is a story about Buddhist monks who are playing this puzzle with 64 stone disks. The story claims that when the monks finish moving the disks from one post to a second via the third post, time will end. Eschatology (concerns about the end of time) and theology will be left to those better qualified; our interest is limited to the recur- sive solution to the problem. A stack of n disks of decreasing size is placed on one of three posts. The task is to move the disks one at a time from the first post to the second. To do this, any disk can be moved from any post to any other post, subject to the rule that you can never place a larger disk over a smaller disk. The (spare) third post is provided to make the solution possible. Your task is using c++ write a recursive function that describes instructions for a solution to this problem. We don’t have graphics available, so you should output a sequence of instructions that will solve the problem. Hint: If you could…7. [7 Marks) Use Kruskal's algorithm to find the minimum spanning tree of the following graph. Indicate the order in which the edges added to form a tree. 2 a 3. 10 11 d 6.] ] hav_hak Write a function "hav_hak(Ist)" that takes in a list of non-increasing integers as its input, and then determines whether or not this is the degree sequence of a graph. After compiling the above cell, you should be able to compile the following cell and obtain the desired outputs. print (hav_hak( [3,3,3,3,3]), hav_hak( [3,3,2,2,2,2])) This should return False True + Code + Markdown Python Python
- Problem 4.8: You construct a Ternary Search Tree that contains n= 5 strings of length k = 6. Assuming no remove operations have ever been formed, what is the maximum possible height of the resulting Ternary Search Tree? Note: Define the height of a tree to be the number of edges in the longest path from the root to a leaf.Problem 1: Recursive Array Search. Define and test a recursive method for a sequential search of an integer array. The method should return the index of the searchKey in the array, or return -1 if the searchKey is not found.TROUBLESHOOT my PYTHON code, please :) The code of a sequential search function is shown on textbook page 60. In fact, if the list is already sorted, the search can halt when the target is less than a given element in the list. For example, given my_list = [2, 5, 7, 9, 14, 27], if the search target is 6, the search can halt when it reaches 7 because it is impossible for 6 to exist after 7. Define a function linearSearchSorted, which is used to search a sorted list. This function displays the position of the target item if found, or 'Target not found' otherwise. It also displays the elements it has visited. To test your function, search for these targets in the list [2, 5, 7, 9, 14, 27]: 2, 6, 14, 27 and 28. Expected output: List: [2, 5, 7, 9, 14, 27] Search target: 2 Elements visited: 2 Target found at position 0 Search target: 6 Elements visited: 2 5 7 Target not found Search target: 14 Elements visited: 2 5 7 9 14 Target found at position 4 Search target: 27 Elements visited: 2…
- Problem Description Inversion Count for an array indicates – how far (or close) the array is from being sorted. If array is alreadysorted then inversion count is 0. If array is sorted in reverse order that inversion count is the maximum.Formally speaking, two elements a[i] and a[j] form an inversion if a[i] > a[j] and i < j .Example: The sequence 2, 4, 1, 3, 5 has three inversions (2, 1), (4, 1), (4, 3).Requirement Design should be based on divide and conquer.Running time should NOT be worse than .Must use recursion to solve the subproblems. Input Specification Your program should read from an input file, which starts with a line indicating the number of test cases.Each of the following lines indicates a test case, and each test case includes a sequence of numbers(separated by spaces) for which you need to count inversions. Sample Input 32 4 1 3 51 2 4 8 9 3 5 6 1 20 6 4 5Output Specification For each test case, print one line with a format of The sequence has ? inversions in…) A singly linked list contains n - 1 strings that are binary representations of numbers from the set {0, 1,.…, n – 1} where n is an exact power of 2. However, the string corresponding to one of the numbers is missing. For example, if n = 4, the list will contain any three strings from 00, 01, 10 and 11. Note that the strings in the list may not appear in any specific order. Also note that thelength of each string is lgn, hence the time to compare two strings in O(lgn). Write an algorithmthat generates the missing string in O(n).EXERCISE 1 Consider a function doubles :: Cint]Eint] that doubles every item in list doubles [3, 4,1,2] [6,8, 2,4] a) write a version doubles Rec using recursion for the aboe function
- Double linked list in Java Double linked list Textbook reference Data structures and algorithms Micheal GoodrichREQUIREMENTS: 1. Using Python, you will write a program called dfs-stack.py that implements Algorithm 2.3 (p. 49): Graph depth-first search (DFS) with a stack. 2. You will not use an adjacency list, as indicated in Algorithm 2.3. Instead, you will use an adjacency matrix (i.e., a two-dimensional array, or, in Python, a list of lists). 3. You may use ANY list method you wish (e.g., append, pop, etc.). IMPLEMENTATION DETAILS: 1. Based upon the REQUIREMENTS above, along with the IMPLEMENTATION DETAILS (i.e., this section), you MUST first develop an algorithmic solution using pseudocode. This includes both your logic (in pseudocode) and the logic presented in the pseudocode indicated in Algorithm 2.3. 2. Be sure to include your name, along with the Certificate of Authenticity, as comments at the very beginning of your Python code. Also, if you collaborated with others, be sure to state their names as well. Your program should begin by prompting the user for the number of vertices, V, in…H. (K E 1 12 4 1 (N A F 7 (M 1 Assume each arc in the diagram goes in either direction. The minimum spanning tree algorithm is started from node B. The first three connected nodes are E, C, and F. What could the next three be (in order)? ILN IHK None of the other answers is correct AID 2, 3. 00 1, 2. 2. 9, LL 2. 3. 3. 2)