2.4 A binary tree is considered “lucky" if it is empty, or if exactly one of its sub-trees is lucky. Write a recursive function named isLucky(struct node *root) which returns 1 if a tree is lucky and 0 if not. You must use the above definition of “lucky," while or until loops. and your code must be recursive. Do not use any for,
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- C++, Write a recursion function that counts the positive elements multiple of 5 in a binary search tree and counts the elements less than 0 and multiple of 2, then returns the two counts multiplied to the main.Note that you have to write only one function and you can add parameters to the function as neededplease answer in scheme racket flavor 1. Create the recursive function far-left that will find the left-most value 2.Create the recursive function far-right that will find right-most value 3. Write depth, a procedure that takes a tree as an argument and returns the largest number of nodes connected through parent-child links. That is, a leaf node has depth 1; a tree in which all the children of the root node are leaves has depth 2. Our world tree has depth 4 (because the longest path from the root to a leaf is, for example, world, country, state, city). 4. Write count-nodes, a procedure that takes a tree as an argument and returns the total number of nodes in the tree. (Earlier we counted the number of leaf nodes.) (define (leaf? node) (null? (children node))) (define (datum node) (car node)) (define (children node) (cdr node)) (define (count-leaves tree) (if (leaf? tree) 1 (count-leaves-in-forest (children tree)) ) ) (define (count-leaves-in-forest forest) (if (null? forest) 0 (+…Given a sorted array, write a program named as ProblemB.cpp that creates a Binary Search Tree.Hints:•Write a recursive function to do the followings:a) Get the Middle of the array and make it root of the BST.b) Recursively call a function to do the same for left subarray (0 .. mid-1) and right subarray (mid+1..size-1).i) Get the middle of left half and make it left child of the root created in step a.ii) Get the middle of right half and make it right child of the root created in step a.c) return root.
- C++ Recall that a "leaf" node in a binary tree is one which has no child nodes, and the height of a tree is the maximum number of edges from its root to one of its leaves). We also saw how easily a binary tree can become poorly structured, where the heights to various leaves in the tree vary dramatically. A full binary tree is one where each node other than the leaf nodes has two child nodes, Write a recursive function which returns true if a binary tree is full, false otherwise. Please avoid the use of variables declared outside of the function.1. Write a recursive function named RecursiveSum that, given a positive number n (n> 0), returns the sum of the numbers from 1 to n. Also, show the process of finding the result using a recursion tree.Write 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++
- Python Lee has discovered what he thinks is a clever recursive strategy for printing the elements in a sequence (string, tuple, or list). He reasons that he can get at the first element in a sequence using the 0 index, and he can obtain a sequence of the rest of the elements by slicing from index 1. This strategy is realized in a function that expects just the sequence as an argument. If the sequence is not empty, the first element in the sequence is printed and then a recursive call is executed. On each recursive call, the sequence argument is sliced using the range 1:. Here is Lee’s function definition: def printAll(seq): if seq: print(seq[0]) printAll(seq[1:]) Write a program that tests this function and add code to trace the argument on each call. Does this function work as expected? If so, are there any hidden costs in running it? its supposed to print something like thisPython Lee has discovered what he thinks is a clever recursive strategy for printing the elements in a sequence (string, tuple, or list). He reasons that he can get at the first element in a sequence using the 0 index, and he can obtain a sequence of the rest of the elements by slicing from index 1. This strategy is realized in a function that expects just the sequence as an argument. If the sequence is not empty, the first element in the sequence is printed and then a recursive call is executed. On each recursive call, the sequence argument is sliced using the range 1:. Here is Lee’s function definition: def printAll(seq): if seq: print(seq[0]) printAll(seq[1:]) Write a program that tests this function and add code to trace the argument on each call. Does this function work as expected? If so, are there any hidden costs in running it? how ???write a python function that will return the leaves of a binary tree with (t) being the root of the binary tree. the function must use recursion Starting code: def leaves(t): return [t.key]
- Write a Haskell function hasItem which takes two inputs: an integer item and a tree that is of the following recursive data type; hasItem returns True if tree has the item, otherwise hasItem returns False. data Tree = Leaf Int | Bintree Tree Char Tree deriving (Show)Write a function f1 that takes the root of a binary tree as a parameter and returns the sum of the nodes which are the right child of another node. The root of the tree is not a child of any node. Consider the following class definitions while writing your code. Using c++ language. class Node {public:int key;Node* left;Node* right;};Lee has discovered what he thinks is a clever recursive strategy for printing the elements in a sequence (string, tuple, or list). He reasons that he can get at the first element in a sequence using the 0 index, and he can obtain a sequence of the rest of the elements by slicing from index 1. This strategy is realized in a function that expects just the sequence as an argument. If the sequence is not empty, the first element in the sequence is printed and then a recursive call is executed. On each recursive call, the sequence argument is sliced using the range 1:. Here is Lee’s function definition: def printAll(seq): if seq: print(seq[0]) printAll(seq[1:]) Write a program that tests this function and add code to trace the argument on each call. Does this function work as expected? If so, are there any hidden costs in running it?