e Each node in a left-child, right-sibling tree T has a real integer >0 score. Find a subset S of nodes that maximises their scores while excluding node and child. 1. Write a C++ function to solve the greatest sum for given nodes.
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Computer Science Each node in a left-child, right-sibling tree T has a real integer >0 score. Find a subset S of nodes that maximises their scores while excluding node and child. 1. Write a C++ function to solve the greatest sum for given nodes. Runtime evaluation
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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 PythonWrite a recursive function called "GetParent" in Binary Search Tree of the given node. You can take as many arugments as you like. Use the following structure defination. struct TNode{ char NodeName[10]; TNode *LeftT, *RightT; } root; use c++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: 1
- 2. Write the following recursive expression tree functions a. Prefix b. Infix c. Postfix d. Evaluate (Evaluate the expression tree-return the value)C++, void traverseWithDijkstra(string start); ➔Use Dijkstra's algorithm to compute the single source shortest path in the graph from the start city to all other nodes in its component. ➔You don’t print anything in this function. Storing the distance associated with every node relative to the start node is enough. .hpp #ifndef GRAPH_H #define GRAPH_H #include<vector> #include<iostream> using namespace std; struct vertex; struct adjVertex{ vertex *v; int weight; }; struct vertex{ vertex() { this->visited = false; this->distance = 0; this->pred = NULL; } string name; bool visited; int distance; vertex *pred; vector<adjVertex> adj; }; class Graph { public: void createEdge(string v1, string v2, int num); void insertVertex(string name); void displayEdges(); void depthFirstTraversal(string sourceVertex); void traverseWithDijkstra(string sourceVertex); void minDistPath(string start, string end); private: vector<vertex*> vertices; };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.
- Recursive function tracing: drawing Recursion Tree for Smallest(a, 0, 6), where vector a contains the following numbers: a = {4, 5, 10, 1, 20, 23, 2}. • clearly label each recursive call’s parameters• clearly label what each call returns to its caller //Return smallest element in sublist a[first...last] int Smallest (vector<int> a, int first, int last){ if (first==last) return a[first]; mid = (first+last)/2; //integer division l1 = Smallest(a, first, mid); l2 = Smallest (a, mid+1, last); if (l1>l2) return l2; else return l1; }] ] 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 PythonWrite 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.
- C++ code Write a program to perform following tasks: Given a binary tree of integers, the task is to write in-order tree traversal method that display node’s data if it is even positive number. In all other cases it should display -1. A.Given an array and an integer N, find elements which are divisible by N, using STL Algorithms in C++. B.Given a vector, reverse this vector using STL in C++ without using predefined functions/algorithms. C;Given an integer array containing repeating elements, find number of occurrences of each element using STL map (without using any predefined method) in C++. MUST BE ALL (A.B.C) IN ONE PROGRAMHaskell Textbook: "Programming in Haskell, 2ndEd.", by Graham Hutton Programming in Haskell: data Tree a b = Leaf a | Branch b (Tree a b) (Tree a b) Implement the three functions that traverse the tree inthe given order collecting the values from the tree nodes into a list:preorder :: (a -> c) -> (b -> c) -> Tree a b -> [c]inorder :: (a -> c) -> (b -> c) -> Tree a b -> [c]postorder :: (a -> c) -> (b -> c) -> Tree a b -> [c] Also, show how each of your three functions work step-by-step with the following tree object.tree1 :: Tree Int Stringtree1 = Branch "+"(Branch "*"(Leaf 3)(Branch "+" (Leaf 4) (Leaf 5)))(Branch "+"(Branch "*" (Leaf 6) (Leaf 7))(Leaf 8))Notice that the data type Tree can store different types of values in the leaves than onthe branching nodes. Thus, each of these functions takes two functions as arguments: Thefirst function maps the values stored in the leaves to some common type c, and the secondfunction maps the values…] ] hav_hak Write a function "hav_hak(Ist)" that takes in a list of non-increasing integers as its input, and then determines whether or not this is the degree sequence of a graph. After compiling the above cell, you should be able to compile the following cell and obtain the desired outputs. print (hav_hak( [3,3,3,3,3]), hav_hak( [3,3,2,2,2,2])) This should return False True + Code + Markdown Python Python