power In the cell below, you are to write a function "power(list)" that takes in a list as its input, and then returns the power set of that list. You may assume that the input will not have any duplicates (i.e., it's a set). After compiling the above cell, you should be able to compile the following cell and obtain the desired outputs. print (power ( ["A", "B"]), power ( ["A", "B", "C"])) + Code + Markdown This should return [0], ["A"], ["B"], ["A", "B"]] [[], ["A"], ["B"], ["C"], ["A", "B"], ["A", "C"], ["B", "C"], ["A", "B", "C"]] (the order in which the 'sets' appear does not matter, just that they are all there)
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- [] [] partite_sets In the cell below, you are to write a function "partite_sets (graph)" that takes in a BIPARTITE graph as its input, and then returns a single list whose two entries are the partite sets of the graph as lists (the order of the sets outputed does not matter). After compiling the above cell, you should be able to compile the following cell and obtain the desired outputs. print (partite_sets({"A" : ["B", "C"], "B" : partite_sets({"A" : ["B", "C"], "B" : ["A"], "C" : ["A"]}), ["A", "D"], "C" : ["A", "D"], "D" : ["B", "C"]})) This should return [["B","C"], ["A"]] [["A","D"], ["B","C"]] (the order in which the entries appear does not matter) Python Python] ] is_proper You are to write a function is_proper(graph,color) that has two inputs: one a graph, and the other a labelling of the vertices, and determines whether or not the labelling is a proper vertex-coloring of the given graph. In other words, return the Boolean value True if it is, and False if it is not. After compiling the above cell, you should be able to compile the following cell and obtain the desired outputs. print (is_proper({"A": ["B", "C"], "B": ["A", "C"], "C": ["A", "B"]}, {"A": 1, "B": 2, "C": 3}), is_proper({"A": ["B", "C"], "B": ["A", "C"], "C": ["A", "B"]}, {"A": 1, "B": 1, "C": 3})) This should return True False Python Pythononsider an input string TAM of letters ‘A’, ‘M’, and ‘T’. This string, which is given by the user, ends with ‘#’. It should be stored in a table (or array), called TAMUK. The number of each of these letters is unknown. We have a function, called SWAP(TAM,i,j), which places the ith letter in the jth entry of string TAM and the jth letter in the ith entry of TAM. Note that SWAP(TAM,i,j) is defined for all integers i and j between 0 and length(TAM)–1, where length(TAM) is the number of letters of TAM. 1. Using our algorithmic language, write an algorithm, called Sort_TAM, which sorts the letters in the array TAMUK in a way that all T’s appear first, followed by all A’s, and followed by all M’s. The algorithm Sort_TAM should have one parameter: The array TAMUK. Also, your solution is correct only if the following four constraints are satisfied: - Constraint 1: Each letter (‘A’, ‘M’, or ‘T’) is evaluated only once. - Constraint 2: The function SWAP(TAM,i,j) is used only when it is…
- ] ] is_bipartite In the cell below, you are to write a function "is_bipartite (graph)" that takes in a graph as its input, and then determines whether or not the graph is bipartite. In other words, it returns True if it is, and False if it is not. After compiling the above cell, you should be able to compile the following cell and obtain the desired outputs. print (is_bipartite({"A" : ["B", "C"], "B" : ["A"], "C" : ["A"]}), is_bipartite({"A" : ["B", "C"], "B" : ["A", "C"], "C" : ["A", "B"]})) This should return True False Python PythonExercise B: "Matrix Addition" For this exercise you will design and implement a function that takes two matrix arguments and computes their sum (if and only if a sum can actually be computed, returning an empty list otherwise). Two matrices can only be added together if they have exactly the same dimensions. If the dimensions are acceptable, then the matrix sum will have the same dimensions as either of the operands, and the value of each element in the matrix sum is itself the sum of the corresponding elements in the operand matrices. And although it does makes sense to test rectangularity before attempting addition, you need not perform this step (since you did it above). In order to complete this task, you will need to: ensure you know how matrix addition can be performed² ● Your submission for this exercise:] ] has_perfect You are to write a function has "perfect (graph)" that takes in a BIPARTITE graph as its input, and then determintes whether or not the graph has a perfect matching. In other words, it will return the Boolean value True if it has one, and False if it does not. After compiling the above cell, you should be able to compile the following cell and obtain the desired outputs. print (has perfect({"A" : ["B", "C"], "B" : ["A", "D"], "C" : ["A", "D"], "D" : ["B", "C"]}), has perfect ( {"A" : ["B"], "B" : ["A", "D", "E"], "C" : ["E"], "D":["B"], "E": ["B","C","F"], "F":["E"]})) This should return True False Python Python
- Q4. Write a program that read 2 matrices and has a function which finds their sum. Q5. Write a program that read 2 matrices and has a function which finds their multiplication. Q6. Write a program that handles a list of numbers where it has the following functions - Function that finds their average and sum - Function that finds their maximum and minimum - Function that search for a given number in that list. - Function that count the occurrence of a given number in that list. Then the program should do the following: - Read the list - Find the average and the sum of that list - Find the minimum and the maximum of that list - Count the occurrence of a given number in that list.3) Create a function named "makeThemOdd". The function should accept a parameter named "numberArray". Use the higher order function map() to create a new array that contains all the numbers from the original parameter array but adds 1 to each even number. The new array should only have odd numbers in it. Return the new array. // Use this array to test your function:const testingArray = [1, 2, 4, 17, 19, 20, 21];dont give the same solution again .10 min left fast Array creation: There are various ways to create arrays in NumPy. O For example, you can create an array from a regular Python list or tuple using the array function. The type of the resulting array is deduced from the type of the elements in the sequences. O Often, the elements of an array are originally unknown, but its size is known. Hence, NumPy offers several functions to create arrays with initial placeholder content. These minimize the necessity of growing arrays, an expensive operation. For example: np.zeros, np.ones, np.full, np.empty, etc. O To create sequences of numbers, NumPy provides a function analogous to. range that returns arrays instead of lists. O arange: returns evenly spaced values within a given interval. step size is specified. O linspace: returns evenly spaced values within a given interval. num no. of elements are returned. O Reshaping array: We can use reshape method to reshape an array. Consider an array…
- Python please! Generalized image blender function Create a function blend images() which takes multiple RGB images as an input, and outputs a blended image. The function should accept following parameters 1. image list- A Python list of 3D arrays where each 3D array corresponds to an RGB image 2. weight list-A Python list of float values between (0, 1) corresponding to the pixel weight to be given to each image-e.g. [0.2, 0.3, 0.1, 0.4] for 4 images. The sum of the weights should be equal to 1. Test your function against a provided list of 5 images with following weight lists (i.e. 2 blended images) [0.2, 0.2, 0.2, 0.2, 0.2]- blend all 5 images [0.2, 0.3, 0.5]- blend first 3 images NOTE: DO NOT USE pre-existing image blending functions.Q8: use Python Write a function return_odd that will take a list as its input and return a list of all the odd values as its output. Note that this differs from what you did above in two ways: (1) it returns the values, not the index, and (2) it's looking for odd values, not even. For example: >>> return_odd([1, 2, 3]) [1, 3] >>> return_odd([2, 4, 6]) [] In [ ]:Find the Median without the High and Low Write a function MedianWithoutHL(ScoreList) that takes an unsorted list of n numbers as a parameter, discards the highest and the lowest numbers and return the median. You can assume the number of items in the list is between 0.0 and 9.9. To find the median from a list of items, you have tosort the list and find out the value of the item in the middle.Note: If the list has an odd number of items, the median is the value of the middle item. If the list has an even number of items, the median is the average of the two middle items.