Function mergesort of type int listint list that sorts the given list of integers using the merge-sort algorithm. For example mergesort [3, 4, 7, 9, 8, 5, 6, 2, 1] should return [1, 2, 3, 4, 5, 6, 7, 8, 9).
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- Write a function sort_and_return_in_pairs_list for example:[12, 13, 11, 15] return =>(11.12) and (12,13)[14,19,16,18,17,15] return =>(14.15) (16.17) (18.19)Now implement the mergesort function. In the base case (len(lst)<2), return the list itself. Otherwise, split the list into a left half and a right half recursively and use the above merge() function to combine sub-results. Note: Use integer division // when computing the length for each subproblem. from random import randint def mergesort(lst): """Implementation of the MergeSort algorithm. Precondition: lst is a list containing elements that can be compared. :param lst - a list of comparable elements :resut - a list containing all elements in lst in ascending order.""" pass # your code goes here ## wrapper to return a shuffled list, shuffle() updates the input list def shuffled(lst): result = [elem for elem in lst] ## copy lst shuffle(result) return result tests = [ [ [shuffled([n for n in range(20)])], [n for n in range(20)]], [ [[n for n in range(19,-1,1)]], sorted([n for n in range(19,-1,1)])], [ [[]], []],…Compare the advantage of doubly linked list over single linked list by giving areason to perform the following operations:• Delete node in the middle of list• Display data in the list
- Write a function that takes a list removal(L), delete from it all the elements whose indicesare divisible by 3. And return the resulting list after removing unwanted elements.Example:>>>removal(['A', 'B', 'C', 'D', 'E'])['B', 'C','E'Write a function with the signature below that returns the sum of the last k elements of a singly linked list that contains integers. int returnSumOfLastKNodes(Node* head, int k) Example: 10 -> 5->8->15->11->9->23 10 represents the head node, returnSumOfLastKNodes(Node* head, 4) will return 58.Let L=(X1, X2Xn) be a list of n elements. Let us search for a key K in the list L. If the key is presented in the list L at index(or position); then partition the list Linto disjoint lists L1 and L2 such that L1=(x[i]: x[i]EL such that isj) and L2=(x[1]:x[i] EL such that i>j). If the key is not present in the list output is "no". Write an algorithm (using linked list) and subsequent C program for your algorithm to compute lists L1 and L2 for the given list L and key K. Note: Don't use any inbuilt functions in your program. Example1: If L=(16, 15, 1, 27, 19, 100, 200,3) and key k= 27 then L1=(16, 15,1,27) and L2=(19, 100,200, 3). Example 2: If L=(16, 15, 1, 27, 19, 100, 200,3) and key k= 127 then no. Input format Enter the list size n Enter the n numbers Enter the key value
- Which of the following implementations of a linked list should be used if the concatenation of two lists is to be performed In O(1) time.A) Doubly linked listB) Circular doubly linked listC) Singly linked listD) Array implementation of listsQ.2. Implement a single linked list. Elements of this linked list should be of integer type, user would provide values as input for elements of this linked list. Which does not allow insertion of duplicate value to the list.Write a program that inserts the following numbers into two (2) empty doubly linked list.L1 50 30 25 75 82 28 77L2 50 40 25 75 80 21 37 30Hint: Put the median at the first element of linked list for both linked list and after insertingmedian element at the first node, do not pass that element again. Median Formula: (n+1)/2a) Implement an insert function for both L1 and L2.b) Implement a function to delete 80 from L2.c) Implement a function to check L1 and L2 are really the same list of nodes or not.Note: You are not allowed to use any built-in Data Structure classes to implement abovescenario.
- Write a Python Code for the given function and conditions: Given function: def insert(self, newElement) Pre-condition: None. Post-condition: This method inserts newElement at the tail of the list. If an element with the same key as newElement already exists in the list, then it concludes the key already exists and does not insert the key.Python Please Implement a function dedup(lst: list) -> list: that returns a de-duplicated version of the input list. Elements appear in the same order as the input list, but subsequences of equal elements are replaced by one representative. For example, dedup([]) = [], dedup([1, 1, 2, 1, 1]) = [1, 2, 1].write a Python function that takes in a list of integers (nums) and finds whether the list consists of any duplicate numbers, the function returns True or False accordingly (Note: this is not a linked list, just a Python list). Function must run in place and cannot use Python’s built-in Set() structure. Make sure to provide the most efficient algorithm in terms of its time and space complexity.