In 3 to 5 sentences, What does it mean for a set to be closed over an operation?
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A: Hey, since there are multiple questions posted, we will answer first question alone. If you want any…
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A: The complete code is given below with output.
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In 3 to 5 sentences, What does it mean for a set to be closed over an operation?
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- Define a recursive function named trim; it takes as its arguments a linked list (the head node of it) and a non-negative integer representing the index of an element in the list. The function mutates the linked list such that all elements that occur after the index is removed. Additionally, the function returns a linked list of all the elements that were moved. If the index value exceeds the length of the linked list, it should raise an IndexError. For example, if we defined a list as l1 = LN(1, LN(2, LN 3))) , calling the function would return the linked list LN(2, LN(3)), and the mutated l1 would become LN(1). You must use recursion. def trim(l: LN, index: int) -> LN:Do you know what the difference is between a single-linked list and a doubly-linked list? When is it better to use a singly-linked list rather than a doubly-linked list?When is it better to use a doubly-linked list rather than a singly-linked list? In a search for a node that is part of a linked list with N elements, how many nodes will be visited and how long will it take? Describe the best- and worst-case scenarios that may occur during a search operation.Explain why the RemoveAfter() function is present in a singly-linked list yet the Remove() function is present in a doubly-linked list.Could the RemoveAfter() function be extended to include a doubly-linked list as well as a simple list? Explain why you believe this is the case, or why you believe it is not the case.What are the chances of implementing a Remove() function for a singly-linked list? Explain why you believe this is the case, or why you believe it is not the case.Program in C
- 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…Writing a program in C++ that combines the three summations and linear search algorithm together in one code and there will be an improvement in the three summation algorithm performance? three summations 3-sum: brute-force algorithm Linear Search Algorithm publie elass Threesun • The linear search algorithm locates an item in a list by examining elements in the sequence one at a time, starting at the beginning. • First compare x with a,. If they are equal, return the position 1. • If not, try a,, If x = a, return the position 2. • Keep going, and if no match is found when the entire list is scanned, publie statie int count (int(] a) int N-a.length: int count- o: for (int i- 0; iPROLOG LANGUAGE We flatten a list L by first removing all lists within L and replacing them with their members. Write a Prolog rule flattenit/2 which flattens a list. Note: there is a built-in called flatten - you should not use that in your answer. For example: :- flattenit([a,b,c,[d,e],f,[c, a, b]], [a,b,c,d,e,f,c,a,b]). :- flattenit([1,2,3,4,[5,6,[7,8]]], [1,2,3,4,5,6,7,8]). :- flattenit([1,2,[3,4,[5,6],7],8,[2,4,5,8]], [1,2,3,4,5,6,7,8,2,4,5,8]).In this assignment, you will expand on the information provided in the course to answer the following questions in a 2- to 3-page paper: What is the difference between a singly-linked list and a doubly-linked list? In what situation would you use a singly-linked list over a doubly-linked list? In what situation would you use a doubly-linked list over a singly-linked list? If a node is in a linked list with N nodes, how many nodes will be traversed during a search for the node? Explain the best- and worst-case search scenarios. Explain why a singly-linked list defines a RemoveAfter() function, while a doubly-linked list defines a Remove() function. Could a RemoveAfter() function also be defined for a doubly-linked list? Explain why or why not. Could a Remove() function also be defined for a singly-linked list? Explain why or why not.Perl Program: It is given to the same members containing n whole numbers. You have to switch to multiple K elements of this list, so that the outgoing list becomes a continuation of arithmetic. From all the arithmetic continuity, you have to choose the best one. You can differently describe the arithmetic continuity with the two numbers a0 and d - the first element of a given continuity and a step that describes the next aspect. (ai = a0 + į* d). Continuation A (a0, do) is much better than continuation B (b0, d1) if (a0Let xHead, yHead and zHead be the head pointers of 3 linked lists of integers (called X-list, Y-list and Z-list, respectively, from here). X-list and Y-list are each sorted (in non-decreasing order) in itself and each may be empty. Z-list is initially empty (i.e., zHead initially contains the null pointer). Develop and test a recursive C++ function called SortedMergeRecur that combines the nodes in X-list and Y-list into Z-list such that, after calling the function, Z-list is a sorted list (in non-decreasing order) containing all the nodes initially contained in X-list and Y-list – X-list and Y-list should both be empty after the call. Other specifications/requirements: ● Each node of the list has the following structure: struct Node{ int data; Node *link;}; ● The function should: ► Have only three parameters (each a pointer-to-Node) and no return value (be a void function). ► Not use any global variables or static local…Computer Science Assume that you would like to represent some information about yourself as follows: (self my-height 170 my-weight 70 my-interest 'volleyball) Use the ASSOC primitive to represent the same information by sub-lists, where your name is the key.Java Programming language Please help me with this. Thanks in advance.Question 6 Linked Lists lend themselves easily to recursive solutions. and it is common to traverse a list by processing a single element and then recursively calling the function on the remaining sub-list. Il does this by accepting a pointer to the current position in the list es a parameter. In the answers below. this has been referred to as the list pointer. what criteria is oten used as the base case that ends the recursion and allos the function to return to he original cal? The data element of the nade pointed to by the list pointer is storing-1. The list pointer points to the beginning of the ist. The list pointer is NULL None of the above. Question 7 when designing the Node structure for our linked list which attributes should we include? Select all that apply. A deta element to store whatever the list is supposed to store. A Node pointer to serve as the head of the list. © A Node pointer to the next element in the list. None of the above.SEE MORE QUESTIONSRecommended textbooks for youDatabase System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSONC How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag…Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill EducationDatabase System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSONC How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag…Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education