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- ] ] 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 Python] ] 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 PythonPlease type thank you!
- 3. Largest: a recursive function that computes the largest value for an integer array of positiveand negative values. For example, for the array below, the function largest should return 22,which is the largest value in the array. You can assume there are no more 20 integers in thearray. Think of how to formulate the recurrence relation in this problem yourself.A/ find code optimization method to this code and then find type to this code 1- For(i=1;iFor this incorrect code dislike please attach code with proof.Course: Data Structurre and algorithms Language: Java Make a Program in java. Read the properly its easy but explained in theory. You have to solve ( make program ) the question by properly as you can error and ommisions will be accepted please. Kindly make it unque dont copy paste. <You have to solve this question as you can kindly dont excusses> Implement a global function“CompareNumbers”which is passed twoSlinkedListobjects as parametersnamed list1, and list2. The function will compare both the numbers corresponding to the lists and will return 0 if both the numbers are equal, return 1 if number corresponding to list1 is greater and will return 2 if number corresponding to list2 is greater. For this task you have to choose an appropriate data structure that will help you do this task in the most efficient manner with regard to time and space complexity.You are allowed to reverse the linked lists for this task. intCompareNumbers(SlinkedList list1, SlinkedList list2)C++ Programming, Arrays Lights The park is illuminated by n (1 < n < 100) lights. Each of them shines all night or not. Of course, which lights were on the first night and which were not. Every other night the condition of the lamps shall be determined by the following rules: the lamp will not illuminate if both of its neighbors were lit last night; the lamp shall illuminate if one of its neighbors was illuminated last night and the other was not; if neither of the first two rules applies to the lamp, it will illuminate when the night is even and will not illuminate when the night is odd. Create a program to determine which lights are on and which will not be lit when k (1 < k < 100) nights have elapsed, and to find which night the most lights were lit and which the least. If there are several identical nights with the most or least lights lit, the night with the lower number must be indicated. The first line of the original data file contains two integers: the number of…Find the digit in the middle, or the average of the 2 digits in the middle of the number hasan even number of digits. using function getMiddle without array or built-in function available only conditions, loops,switch-case please help4. CodeW X For func X C Solved b Answer x+ https://codeworkou... ... [+) CodeWorkout X271: Recursion Programming Exercises: Minimum of array For function recursiveMin, write the missing part of the recursive call. This function should return the minimum element in an array of integers. You should assume that recursiveMin is initially called with startIndex = 0. Examples: recursiveMin({2, 4, 8}, 0) -> 2 Your Answer: 1 public int recursiveMin(int numbers[], int startIndex) { numbers.length - 1) { if (startIndex 2. return numbers[startIndex]; } else { return Math. min(numbers[startIndex], >); 5. { 1:11 AM 50°F Clear 12/4/2021Write two functions using the following headers:int generate01()void printMatrix(int n)The first function generates and returns a random number either 0 or 1.The second function prints an n-by-n matrix. Each element of the matrix is using the number generated by thefirst function.Write a test program that prompts the user to enter n and uses printMatrix to display an n-by-n matrix. Hereis a sample run:Enter n: 30 1 00 0 10 0 01- Persistent variables cannot be accessed from outside the function. (True or False 2- Define a 5*1 empty cell array and then fill it with ones. 3- If A=[5 2] and B-[8; 9; 6] then create 3*3 matrix by concatenating A and B. 4- If S=struct([1), then the size(S)= 5- What is the value of I= any([1, 0, 3]&&[0, 8, 0]) in Matlab? I= 6- If K=[2 5 7], then max(K, 5.5)= matlabSEE MORE QUESTIONS