In this assignment, you are asked to implement several functions in a Binary Search Tree (BST) class, called myBST, in bst.cpp.

1. Implement the public function findInBST(). You can choose to do this using recursion or not. If you choose to use recursion, a helper private function find_helper() may be helpful. (non-recursive is the default; if you want to use recursion, youll need to comment/ uncommented certain parts in the code.) 2. Implement the public function insertToBST(). You can choose to do this using recursion or not. If you choose to use recursion, a helper private function insert_helper() may be helpful. (non-recursive is the default; if you want to use recursion, youll need to comment/ uncommented certain parts in the code.) 3. Implement the private functions preOrder(), postOrder(), and inOrder(), which are used to implement public functions preOrderTraversal(), postOrderTraversal(), and inOrderTraversal(), respectively. preOrder(), postOrder(), and inOrder() should be recursive functions, and no loop should be used in them.

#include using namespace std;

struct BinNode { int key; BinNode *left; BinNode *right; };

class myBST { public: myBST () { root = NULL; } ~myBST (); BinNode* findInBST(int k); // return NULL if not found void insertToBST(int k); void preOrderTraversal(); void postOrderTraversal(); void inOrderTraversal(); void rotatedPrintTree(); private: BinNode* root; void free_helper(BinNode* node); // BinNode* find_helper(BinNode* node, int k); //optional helper function for findInBST // void insert_helper(BinNode* node, int k); //optional helper function for insertToBST void preOrder(BinNode* node); void postOrder(BinNode* node); void inOrder(BinNode* node); void rotatedPrint(BinNode* node, int d); };

myBST::~myBST() { free_helper(root); }

void myBST::free_helper(BinNode* node) { if(node != NULL) { free_helper(node->left); free_helper(node->right); delete node; } }

// //*************************** // //recursive implementation*** // //*************************** BinNode* myBST::findInBST(int k) {

}

BinNode* myBST::find_helper(BinNode* node, int k) {

}

//******************************* //non-recursive implementation*** //******************************* BinNode* myBST::findInBST(int k) {

}

// //*************************** // //recursive implementation*** // //*************************** void myBST::insertToBST(int k) { }

void myBST::insert_helper(BinNode* node, int k) { }

//******************************* //non-recursive implementation*** //******************************* void myBST::insertToBST(int k) {

}

//*********************************** //preOrderTraversal implementation*** //*********************************** void myBST::preOrderTraversal() { preOrder(root); cout << endl; }

void myBST::preOrder(BinNode* node) {

}

//************************************ //postOrderTraversal implementation*** //************************************ void myBST::postOrderTraversal() { postOrder(root); cout << endl; }

void myBST::postOrder(BinNode* node) {

}

//********************************** //inOrderTraversal implementation*** //********************************** void myBST::inOrderTraversal() { inOrder(root); cout << endl; }

void myBST::inOrder(BinNode* node) {

}

//*********************************** //print the tree (left rotated)****** //*********************************** void myBST::rotatedPrintTree() { rotatedPrint(root, 0); }

void myBST::rotatedPrint(BinNode* node, int d) { if(node == NULL) return; if (node->right != NULL) rotatedPrint(node->right, d+1); for(int i = 0; i < d; i++) cout << "\t"; cout << node->key << endl; if (node->left != NULL) rotatedPrint(node->left, d+1); }

int main() { myBST testTree; int user_input = 0; while (user_input != -1) { cout << "Inserting a new node...." << endl; cout << "Please enter an integer between 0 and 99 as the key, "; cout << "and enter -1 to stop and to see the resulting tree: "; cin >> user_input; if (user_input >= 0 and user_input <= 99) testTree.insertToBST(user_input); else if (user_input != -1) cout << "Invalid input value (" << user_input << ") !" << endl; } cout << "Print the resulting tree (left-rotated):" << endl; testTree.rotatedPrintTree(); cout << "preOrderTraversal: "; testTree.preOrderTraversal(); cout << "postOrderTraversal: "; testTree.postOrderTraversal(); cout << "inOrderTraversal: "; testTree.inOrderTraversal(); user_input = 0; while (user_input != -1) { cout << "Searching a key...." << endl; cout << "Please enter an integer between 0 and 99 as the key to search, "; cout << "and enter -1 to stop searching: "; cin >> user_input; if (user_input >= 0 and user_input <= 99) { BinNode* temp = testTree.findInBST(user_input); if(temp == NULL) cout << user_input << " is not in this BST." << endl; else { cout << user_input << " is in this BST." << endl; if(temp->left != NULL) cout << user_input << " has a left child " << temp->left->key << endl; if(temp->right != NULL) cout << user_input << " has a right child " << temp->right->key << endl; } } else if (user_input != -1) cout << "Invalid input value (" << user_input << ") !" << endl; } return 0; }