Wite a function which will take a binary tree as input and return the number of total number ef leaves in the tree. Your code must count the leaves by traversing the tree.
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![Write a function which will take a binary trce as input and return the total number of nodes
in: the tree. Your code must count the nodes by traversing the tree.
a.
b. Wite a function which will take a binary tree as input and return the number of total
number ef leaves in the tree. Your code must count the leaves by traversing the tree.
c. Write code fer building (insertion) a ternary tree. A node (Ternary tree class) in a ternary
tree may have at most 3 children. You may need to modify the TrceNode class discussed
ir. class and adl functions to insert nodes.
d. We discussed a methodology to delete a node which has 2 children from BST and
in ormally argued avout the correctness of this methodology,
An alternative methodology is shown below. The node X has two children, and we wish to
delete X. The tree is rearanged as shown in the right after deleting X. Show that the
alternative technique also preserves BST property. Write code to implement the alternative
technique. [20]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F152f3520-6a2d-458a-90b8-524636af4ada%2F5f7bed25-0ddf-44fc-9946-8884c84dd867%2Fuhweea_processed.jpeg&w=3840&q=75)
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- Use c++ 1. A Red-Black tree is said to be beautiful if all nodes in the alternate levels of the tree are of the same color. Write a program to check whether a Red-Black tree created from the given input is beautiful or not. Your program should include the following functions. • INSERTREDBLACK (struct node* root, key): Inserts a new node with the 'key' into the tree. • CHECKBEAUTIFUL (struct node* root): Checks whether the given tree is beautiful or not. Input format: Output format: • The output will be 1 if the Red-Black tree is beautiful else -1. Sample Input 1: 9 12 • The first line of input will be an integer 'n' which is the number of nodes in the tree. • After which 'n' integer inputs will be given subsequently which will be the keys of nodes of the tree. The keys are unique and values are in the range [1,1000]. 8 25 3 5 27 22 32 9 Sample Output 1: 1Computer Science Exercise: depth [★★] Write a function depth : 'a tree -> int that returns the number of nodes in any longest path from the root to a leaf. For example, the depth of an empty tree (simply Leaf) is 0, and the depth of tree t above is 3. Hint: there is a library function max : 'a -> 'a -> 'a that returns the maximum of any two values of the same type. please use Ocaml for the coding1.) Design a Binary Search Tree ADT by using following functions. Include the function definitions & run the program (Kindly include header files as well). Paste the output as a screenshot and write the code in your answer sheet. insert(int val)find(int x)************************************************************************************ class btNode { public: int info; btNode *lLink; btNode *rLink; btNode(int e, btNode *l = NULL, btNode *r = NULL) { info = e; lLink = l; rLink = r; } btNode() { lLink = NULL; rLink = NULL; } }; class binarySTADT { private: btNode *root; int count = 0; public: binarySTADT() { root = NULL; } void insert(int val); // function to insert a given value in the tree.…
- D. Write a program named as ProblemD_.cpp that constructs a BST from a given preorder traversal of that tree. For example, if the given traversal is (10, 5, 1, 7, 40, 50), then the output should be following tree. 10 40 1 7 50 Hints: • Write a recursive function to do the followings: a) Get the first element of the array and make it root of the BST. b) Find the index i such that the value in i+1 is the first value bigger than the root. c) Recursively call a function to do the same for left subarray (1.. i) and right subarray (i+1.size-1). i) Get the first element of left half and make it left child of the root created in step a. ii) Get the first element of right half and make it right child of the root created in step a. d) return root.] ] 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 PythonAssume this method is given within the KWLinkedList class, which answer is be correct public void Unknown() { if (size cur = head; Node prev = tail; for(int i=0; i< size/2; i++) { tail.prev.data = cur.data; cur= cur.next; } }
- CodeW X bFor fun X C Solved x b Answer + x https://codeworko... CodeWorkout X265: Recursion Programmlng Exercise: GCD The greatest common divisor (GCD) for a pair of numbers is the largest positive integer that divides both numbers without remainder. For function GCD , write the missing base case condition and action. This function will compute the greatest common divisor of x and y.You can assume that x and y are both positive integers and that x > y. Greatest common divisor is computed as follows: = x and GCD(x, y) = GCD(y, x % y). Examples: GCD (6, 4) -> 2 Your An swer: 1 public int GCD(int x, int y) { if > { 2. > 3. } else { 4. return GCD(y, x % y); 9. { 7. 1:09 AM 50°F Clear 1V 1. 12/4/2021 甲Part II: Implement text compression. In this part, use a text file as input, read through the text file, calculate the frequencies of each character, apply your Huffman Algorithm to encode the text file into a new file. You program should have the following functions, besides the above functions. Encode: takes a text file name, calls the Huffman coding algorithm, traverse the tree to get the code word, and then encode the text file into a new file. Decode: takes a prefix tree, and an encoded file, decode the file. What to turn in: Well documented source code in C++. Run your algorithm for 20 files and show the compression ratio of the size of the original file and the size of the compressed file. Show the ratios in the table. //code // C++ program for Huffman Coding #include <iostream> #include<queue> #include<vector> #include<string> #include<map> using namespace std; /*structure to represent node of huffman tree*/ struct node { // One of the…In c++ please pleasee donot copy from internet and also add comment to each line of the code explaining its working. Draw the tree after the insertion of keys 33, 31, 60,90,86,81,96,87,94, 21, 11 and 18, in this order. Consider the above values and perform The Following: 1) Write code for Insertion of above values in trees. 2) perform Breadth First Search AND Depth First Search and display results. 3) Perform Preorder, in order, and post order traversal and show the outputs. 4) Write a code to delete 87 and 21, and 90 from above tree. 5) Array Representation of above tree.
- Write a program in c++ which should create a weighted graph of the values entered by the user andthen write functions that perform the following: 1. Depth first search of source and destination vertex2. Breadth first search of source and destination vertex3. Shortest path search of source and all destination vertices (Dijkstra’s algorithm)4. Shortest path search of source and destination vertex (Dijkstra’s algorithm) The program should present a menu of the options and should run until the user opts to quit.Part (a) Write a python function that computes the binomial coefficient ("). The function should return the correct answer for any positive integer n and k where k=m pass Part (c) Suppose that the number of people in the trial is 100. Then: • Plot a curve that shows how the probability of type 1 error changes with the choice of m, for m = 1,...n assuming that the null hypothesis holds (in red), • On the same picture, plot the probability of type 2 error vs the value of m in the case in which the new drug is effective with proability 0.68 (in blue). You can plot the two curves using matplotlib.pyplot. You can select the color by passing color='r' or color='b' to the plt.plot() function. [4]: n - 100 # your code here def plot_curve (): pass [5]: plot_curve() Part (d) Based on the picture above, what value of m do you think would be suitable to keep both type 1 and type 2 error small at the same time? (You may assume that the company claims the new drug has 68% accuracy) [6]: # your…Old MathJax webview Old MathJax webview In Java Some methods of the singly linked list listed below can be implemented efficiently (in different respects) (as opposed to an array or a doubly linked list), others not necessarily which are they and why? b. Implement a function to add an element before the first element. c. Implement a function to add an item after the last one element. d. Implement a function to output an element of the list. e. Implement a function to output the entire list. f. Implement a function to output the number of elements. G. Implement a function to delete an item. H. Implement a function to clear the entire list. I. Implement functionality to search for one or more students by first name, last name, matriculation number or course of study. J. Implement functionality to sort the records of the student, matriculation number and course according to two self-selected sorting methods.