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- Write a program that asks the user toenter two non-empty sets and display their intersection and union. Design the following function in the program: set_intersection–This function gets the intersection of two given sets. set_union–This function gets the union of two given sets.QUESTION 28 Let a set be B-{1, 2, 3,4} then the number of subsets containing two elements will be 6. O True O False QUESTION 29 The set describes by the following :bexENand x is prime) is an infinite set. O True O False QUESTION 30 ifx and Yare sets., then Xnruxy equais X O True O FalseU={A,B,C,D,E,F}, A={A,B,D,E}, B={B,C,E,F}, and C={A,B,C,D} complete the following set operations: 1(A'n B) uC' 2. A n (Bu C;)
- Implementing Set Operations The code template initializes two sets, A and B containing lower case characters as elements.Block 1 computes A-B and prints out the resulting set.In Block 2 write code to compute B-A and output the resulting set.In Block 3 write code to compute A⊕B and output the resulting set. Note that according to the definition of a set, the order of the elements does not matter. In this code, the elements of a set are printed in sorted order so that your output will match the expected output in the test cases. main.py # Initialize sets A and BA = { 'a', 'b', 'c', 'd', 'e', 'f' }B = { 'c', 'd', 'f', 'h', 'j', 'k' } print('A = ', sorted(A))print('B = ',sorted(B))print(' ')#Block 1: computes and prints out the set A - B AminusB = set()for element in A: # this line runs through every element in Aif not(element in B): #A - B is the set of elements that are in A and are not in BAminusB.add(element) # Add it AminusB every element in A if the element is also not in B print('A…Unordered Sets |As explained in this chapter, a set is a collection of distinct elements of the same type. Design the class unorderedSetType, derived from the class unorderedArrayListType, to manipulate sets. Note that you need to redefine only the functions insertAt, insertEnd, and replaceAt. If the item to be inserted is already in the list, the functions insertAt and insertEnd output an appropriate message, such as 13 is already in the set. Similarly, if the item to be replaced is already in the list, the function replaceAt outputs an appropriate message. Also, write a program to test your class.This method can be used to determine whether one set is a subset of another.a. issupersetb. issubsetc. symmetric_differenced. intersection
- Let A={1,2,3). B={3,4,5,6}, and C={6,7,8}.Find (AUB)ᑎC.Write your answer using set notation, i.e. list all elements separated by comma inside braces{} or use the symbol of empty set, if needed Ø. Do not insert any spacesRecamán's sequence def recaman(n): Compute and return the first n terms of the Recamán's sequence, starting from the term a1 = 1.Note how the definition for the current next element depends on whether a particular number is already part of the previously generated part of the sequence. To let your function execute in a speedy fashion even when generating a sequence that contains millions of elements, you should use a set to keep track of which values are already part of the previously generated sequence. This way you can generate each element in constant time, instead of having to iterate through the entire previously generated list. The better technique that saves time by using more memory can create this list arbitrarily far in linear time, and should therefore be fast even for millions of elements, at least until it runs out of memory. n Expected result 10 [1, 3, 6, 2, 7, 13, 20, 12, 21, 11] 1000000 (a list of million elements whose last five elements are [2057162,1057165,…Saal lai The elements of the set {x: x is an integer such that x2 - 3 = 0} is { v3, v-3 } Ture O False O