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- We have a list that stores the repeated heart-rate measurements for the same patient over several tests. Each inner-list is a test and for that test, the heart rate is monitored for some time while taking a few measurements. Next, we would like to calculate the average of the measurements for each test.heart_rate = [ [ 72, 75, 71, 73], # resting[ 91, 90, 94, 93], # walking slowly[ 130, 135, 139, 142], # running on treadmill[ 120, 118, 110, 105, 100, 98]] # after minute recoveryIn your code, define a function calculate_average_heart_rates() that accepts the list heart_rate as its only input argument. Inside the function, use nested loops to calculate the average heart rate during each test scenario. This function should return a list that contains the average heart rate values of a patient for the four test scenarios.Write unit testsWrite a function that takes three lists of integers, l1, l2, and l3, and returnsa list of all tuples, where each tuple (a,b,c) is such that a is from l1, b is from l2 and c is from l3 and a+b=c. For example, given [1,2,3], [4,5] and [7,8]you should return [(2,5,7), (3,4,7), (3,5,8)]. The returned list must be sortedaccording to a and b, in ascending order.In C++, write a program that outputs the nodes of a graph in a breadth first traversal. Data File: Please use this data file. Text to copy: 100 1 3 -9991 4 -9992 5 -9993 2 -9994 -9995 7 8 -9996 4 7 -9997 -9998 -9999 7 8 -999 Diagram: Also, please take a look at the attached figure on and calculate the weights for the following edges: 0 -> 1 -> 4 0 -> 3 -> 2 -> 5 -> 7 0 -> 3 -> 2 -> 5 -> 8 6 -> 4 6 -> 7 9 -> 7 9 -> 8 To calculates these weights, please assume the following data: 0 -> 1 = 1 0 -> 3 = 2 1 -> 4 = 3 3 -> 2 = 4 2 -> 5 = 5 5 -> 7 = 6 5 -> 8 = 7 6 -> 4 = 8 6 -> 7 = 9 9 -> 7 = 10 9 -> 8 = 11
- Suppose S'is a set that contains exactly m letters of the English alphabet, where m is an integer and 3 < m < 20. How many strings of length 3 can be formed, using different letters from S?If N represents the number of elements in the collection, then the contains method of the ArrayCollection class is O(1). True or False If N represents the number of elements in the list, then the index-based add method of the ABList class is O(N). True or FalseIn this problem you will implement a function called triangle_countwhich will take as input a graph object G, representing an undirectedgraph G, and will return the number of triangles in G. Do not use anyimports for this problem. To simplify the problem you may assume thateach edge is stored twice in G. That is if an edge goes from u to v then vwill be in u’s collection and u will be in v’s collection. If you would prefer,you may assume that an edge is only stored once. In either case G willneed to be regarded as undirected.
- Implement a list of employees using a dynamic array of strings.Your solution should include functions for printing list, inserting and removingemployees, and sorting lists (use Bubble sort in C++ language).Keep list of employees sorted within the list after insertion.See the following example:How many employees do you expect to have?5 (Carriage Return)Menu :1 . Print full list of employees2 . Insert new employee3 . Remove employee from list0 . Exit2 (Carriage Return)Input name of new employee : MikeMenu :1 . Print full list of employees2 . Insert new employee3 . Remove employee from list0 . Exit1(Carriage Return)1 . MaryMenu :1 . Print full list of employees2 . Insert new employee3 . Remove employee from list0 . ExitWrite a function public ABList<String> both(ABList<String> listOne, ABList<String> listTwo)that creates and returns an ABList which is contains theelements which are contained in bothlistOne andlistTwo. USE AN ITERATOR.For example, if listOne contains "blue" "purple" "pink" "white" "red" and listTwo contains "red" "pink" "black" "blue" then the function should return a list that contains "blue" "red". The items in the new list can be in any order.THIS IS A CLIENT FUNCTION OF THE ABLIST CLASS.Input: A set of n movies. A positive integer k. A positive integer q. A function f that takes two movies X, Y, and gives a positive similarity score f(X,Y) in constant time. Task: Design an efficient algorithm that partitions the movies into exactly k disjoint sets such that movies from different sets have a similarity score at most q. If such groups cannot be made, then print 'Unsatisfiable'. Give an efficient algorithm (to the best of your knowledge) and a formal proof of correctness for your algorithm. An answer without any formal proof will be considered incomplete. Analyze the running time of the algorithm. You must write down your algorithm as pseudocode or describe it as a set of steps (as we do in the class). Do not provide code that is written in a code editor using C/C++/Python/Java, etc.
- You have been given a linked list of integers. Your task is to write a function that deletes a node from a given position, 'POS'.Note :Assume that the Indexing for the linked list always starts from 0. If the position is greater than or equal to the length of the linked list, you should return the same linked list without any change.Illustration :The following images depict how the deletion has been performed.Image-I :Alt txt Image-II :Alt txt Input format :The first line contains an Integer 'T' which denotes the number of test cases or queries to be run. Then the test cases follow. The first line of each test case or query contains the elements of the linked list separated by a single space. The second line of each test case contains the integer value of 'POS'. It denotes the position in the linked list from where the node has to be deleted. Remember/Consider :While specifying the list elements for input, -1 indicates the end of the singly linked list and hence, would never be a list…You are given a list of integers nums and a positive integer k. Your task is to implement a function find_subsequence(nums, k) that returns the length of the longest increasing subsequence of nums such that the difference between the maximum and minimum element in the subsequence is at most k. For example, given the list [1, 3, 2, 4] and k = 2, the longest increasing subsequence satisfying the condition has length 2 and is [1, 2]. You may assume that the list nums has at least one element and that k is at least 1. Constraints: The list nums has at most length $10^6$. Examples: find_subsequence([1, 3, 2, 4], 2) => 2 find_subsequence([1, 2, 3, 4, 5], 1) => 5 find_subsequence([5, 4, 3, 2, 1], 3) => 1 find_subsequence([1, 2, 3, 2, 3, 4, 5, 4, 5, 6], 2) => 4Let A = {0, b) and B = {a, d) and C = {c}. Compute the following sets: a. AX (BXC) b. AXC