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- write a program that creates a linked list of points in an x-y coordinate system. Following are the node content of your linked list: head -> P1(0,1) -> P2(1,2) -> P3(10,11) -> P4(0,3) -> P5(17, 16) -> P6(0,0) -> P7(3,4) -> P8(16,1) ->tail Where Pz(x,y) is point z with x and y coordinates in the 2D space. Write a method searchList that recursively searches the linked list of point objects for a specified point w with x1 and y1 cooredinates: Pw(x1, y1). Method searchList should return true if it is found; otherwise, false should be returned. Use your method in a test program that creates the above list. The program should prompt the user for a value to locate in the list. For example: Enter two integer values representing the x and y coordinate of the point you want to look for in the list: 3 4 This point is found Anothet example: Enter two integer values representing the x and y coordinate of the point you want to look for in the list: 0 1 The point does…For a binary tree, the pre-order traversal is H D A C B G F E the in-order traversal is: A D C B H F E G (A) Draw this binary tree (B) Give the post-order traversalImplement a priority queue using a heapordered binary tree, but use a triply linked structure instead of an array. You will needthree links per node: two to traverse down the tree and one to traverse up the tree. Yourimplementation should guarantee logarithmic running time per operation, even if nomaximum priority-queue size is known ahead of time.
- Using Java Design an algorithm for the following operations for a binary tree BT, and show the worst-case running times for each implementation:preorderNext(x): return the node visited after node x in a pre-order traversal of BT.postorderNext(x): return the node visited after node x in a post-order traversal of BT.inorderNext(x): return the node visited after node x in an in-order traversal of BT.root M D G Given that when a choice is available, nodes are visited left to right, what is the breadth-first traversal of the above tree? HGTMDBA AMD BHGT HGMDTBA AMHGDBTConsider the following traversal sequences: Preorder traversal sequence: 74 72 45 75 67 82 Inorder traversal sequence: 45 72 75 74 82 67 Draw the corresponding binary tree. Note: IMPORTANT: The penalty scheme for this question is 0, 50, 100%. Answer: (penalty regime: 0, 50, 100 %) Help Clear Check
- Write a program that inserts the following numbers into an initially empty BST such that the treeproduced is equivalent to binary search tree.50 30 25 75 82 28 63 70 4 43 74Hint: Calculate the mean value in method and put that value at the root and recursively build theleft and right subtree.A. Implement a function which, given a node in this binary search tree, prints out themaximum depths of its left and right subtrees.B. Implement a function to find the maximum value of all the nodes in the tree.C. Implement a function that balance the tree using appropriate rotation type and return theroot value.Note: You are not allowed to use any built-in Data Structure classes to implement abovescenarioConsider this algorithm (described in pseudocode): void traverse(tree_node ptr) { } if (ptr!=null) { traverse(ptr.left_child()); print(ptr.data()); traverse(ptr.right_child()); } 18. Which traversal method does this algorithm describe? 19. Apply this algorithm to the tree shown in Figure 5 and provide the result of the traversal in the text box belowSuppose you are given an undirected graph G and a start node s. Your task is to design an algorithm that returns FALSE if G is not a tree and returns TRUE and labels each vertex v with the number of nodes in the subtree rooted at v if G is a tree. Note that the orientation of edges is implicit given the start node. Hint: Modify DFS to solve the problem.
- Recall your implementation of a binary search tree. Write a function int levelOf(int k) that computes and returns the level of the node with the key k. (Consider the root at level 1)Draw the binary search tree if the in-order traversal of that binary search tree are given as below: In-order traversal: 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 15, 19, 20A mathematician applies Prim’s Algorithm to find a minimum spanning tree for the weighted graph starting at vertex D. The order of the edges picked so far is AD, AB, BE, and EF. The next edge selected when applying Prim’s Algorithm should be BF FG CG CE What is the total weight of the tree that uses the edges DE, CE, CG, FG and BF? 93 92 91 90 The tree described in problem #8 is a spanning True False