mirror of
https://github.com/TheAlgorithms/C-Plus-Plus.git
synced 2026-11-03 14:24:58 +08:00
Merge branch 'ds-ops' of github.com:foo290/C-Plus-Plus into ds-ops
This commit is contained in:
@@ -1,29 +1,34 @@
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/**
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/**
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* @file
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* @file
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* @brief An implementation for finding the [Inorder successor of a binary
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* @brief An implementation for finding the [Inorder successor of a binary
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* search tree](https://www.youtube.com/watch?v=5cPbNCrdotA&t=904s) Inorder
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* search tree](https://www.youtube.com/watch?v=5cPbNCrdotA) Inorder
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* successor of a node is the next node in Inorder traversal of the Binary Tree.
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* successor of a node is the next node in Inorder traversal of the Binary Tree.
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* Inorder Successor is NULL for the last node in Inorder traversal.
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* Inorder Successor is NULL for the last node in Inorder traversal.
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* @details
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* @details
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* ### Case 1: The given node has the right node/subtree
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* ### Case 1: The given node has the right node/subtree
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*
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*
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* In this case the left most deepest node in the right subtree will come just
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* * In this case, the left-most deepest node in the right subtree will
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* after the given node as we go to left deep in inorder.
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* come just after the given node as we go to left deep in inorder.
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* - Go deep to left most node in right subtree.
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* - Go deep to left most node in right subtree.
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* OR, we can also say in case if BST, find the minimum of the subtree for a given node.
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* OR, we can also say in case if BST, find the minimum of the subtree
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* for a given node.
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*
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*
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* ### Case 2: The given node does not have a right node/subtree
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* ### Case 2: The given node does not have a right node/subtree
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*
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*
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* #### Method 1: Use parent pointer (store the address of parent nodes)
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* #### Method 1: Use parent pointer (store the address of parent nodes)
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* * If a node does not have the right subtree, and we already visited the node itself,
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* * If a node does not have the right subtree, and we already visited the
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* then the next node will be its parent node according to inorder traversal,
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* node itself, then the next node will be its parent node according to inorder
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* and if we are going to parent from left, then the parent would be unvisited.
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* traversal, and if we are going to parent from left, then the parent would be
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* * In other words, go to the nearest ancestor for which given node would be in left subtree.
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* unvisited.
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* * In other words, go to the nearest ancestor for which given node would
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* be in left subtree.
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*
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*
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* #### Method 2: Search from the root node
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* #### Method 2: Search from the root node
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* * In case if there is no link from a child node to the parent node, we need to walk down the tree starting
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* * In case if there is no link from a child node to the parent node, we
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* from the root node to the given node, by doing so, we are visiting every ancestor of the given node.
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* need to walk down the tree starting from the root node to the given node, by
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* * In order successor would be the deepest node in this path for which given node is in left subtree.
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* doing so, we are visiting every ancestor of the given node.
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* * In order successor would be the deepest node in this path for which
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* given node is in left subtree.
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*
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*
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* @author [Nitin Sharma](https://github.com/foo290)
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* @author [Nitin Sharma](https://github.com/foo290)
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* */
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* */
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@@ -43,30 +48,30 @@ namespace operations_on_datastructures {
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* @brief Functions for the [Inorder successor of a binary search
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* @brief Functions for the [Inorder successor of a binary search
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* tree](https://www.youtube.com/watch?v=5cPbNCrdotA) implementation
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* tree](https://www.youtube.com/watch?v=5cPbNCrdotA) implementation
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*/
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*/
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namespace inorder_traversal_of_bst {
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namespace inorder_traversal_of_bst {
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/**
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/**
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* @brief A Node structure representing a single node in BST
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* @brief A Node structure representing a single node in BST
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*/
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*/
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class Node {
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class Node {
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public:
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public:
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int64_t data; ///< The key/value of the node
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int64_t data; ///< The key/value of the node
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Node *left; ///< Pointer to Left child
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Node *left; ///< Pointer to Left child
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Node *right; ///< Pointer to right child
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Node *right; ///< Pointer to right child
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};
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};
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/**
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/**
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* @brief Allocates a new node in heap for given data and returns it's pointer.
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* @brief Allocates a new node in heap for given data and returns it's pointer.
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* @param data Data for the node.
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* @param data Data for the node.
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* @returns A pointer to the newly allocated Node.
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* @returns A pointer to the newly allocated Node.
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* */
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* */
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Node *makeNode(int64_t data) {
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Node *makeNode(int64_t data) {
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Node *node = new Node();
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Node *node = new Node();
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node->data = data; ///< setting data for node
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node->data = data; ///< setting data for node
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node->left = nullptr; ///< setting left child as null
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node->left = nullptr; ///< setting left child as null
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node->right = nullptr; ///< setting right child as null
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node->right = nullptr; ///< setting right child as null
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return node;
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return node;
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}
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}
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/**
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/**
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* @brief Inserts the given data in BST while maintaining the properties of BST.
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* @brief Inserts the given data in BST while maintaining the properties of BST.
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@@ -74,7 +79,7 @@ namespace operations_on_datastructures {
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* @param data Data to be inserted.
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* @param data Data to be inserted.
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* @returns Node* Pointer to the root node.
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* @returns Node* Pointer to the root node.
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* */
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* */
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Node *Insert(Node *root, int64_t data) {
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Node *Insert(Node *root, int64_t data) {
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if (root == nullptr) {
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if (root == nullptr) {
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root = makeNode(data);
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root = makeNode(data);
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} else if (data <= root->data) {
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} else if (data <= root->data) {
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@@ -83,7 +88,7 @@ namespace operations_on_datastructures {
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root->right = Insert(root->right, data);
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root->right = Insert(root->right, data);
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}
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}
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return root;
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return root;
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}
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}
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/**
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/**
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* @brief Searches the given data in BST and returns the pointer to the node
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* @brief Searches the given data in BST and returns the pointer to the node
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@@ -92,28 +97,28 @@ namespace operations_on_datastructures {
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* @param data Data to be Searched.
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* @param data Data to be Searched.
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* @returns Node* pointer to the found node
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* @returns Node* pointer to the found node
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* */
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* */
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Node *getNode(Node *root, int64_t data) {
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Node *getNode(Node *root, int64_t data) {
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if (root == nullptr) {
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if (root == nullptr) {
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return nullptr;
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return nullptr;
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} else if (root->data == data) {
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} else if (root->data == data) {
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return root; /// Node found!
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return root; /// Node found!
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} else if (data > root->data) {
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} else if (data > root->data) {
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/// Traverse right subtree recursively as the given data is greater than the data in root node,
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/// Traverse right subtree recursively as the given data is greater than
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/// data must be present in right subtree.
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/// the data in root node, data must be present in right subtree.
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return getNode(root->right, data);
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return getNode(root->right, data);
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} else {
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} else {
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/// Traverse left subtree recursively as the given data is less than the data in root node,
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/// Traverse left subtree recursively as the given data is less than the
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/// data must be present in left subtree.
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/// data in root node, data must be present in left subtree.
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return getNode(root->left, data);
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return getNode(root->left, data);
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}
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}
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}
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}
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/**
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/**
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* @brief Finds and return the minimum node in BST.
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* @brief Finds and return the minimum node in BST.
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* @param root A pointer to root node.
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* @param root A pointer to root node.
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* @returns Node* Pointer to the found node
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* @returns Node* Pointer to the found node
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* */
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* */
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Node *findMinNode(Node *root) {
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Node *findMinNode(Node *root) {
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if (root == nullptr) {
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if (root == nullptr) {
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return root;
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return root;
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}
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}
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@@ -121,14 +126,14 @@ namespace operations_on_datastructures {
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root = root->left;
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root = root->left;
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}
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}
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return root;
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return root;
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}
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}
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/**
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/**
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* @brief Prints the BST in inorder traversal using recursion.
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* @brief Prints the BST in inorder traversal using recursion.
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* @param root A pointer to the root node of the BST.
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* @param root A pointer to the root node of the BST.
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* @returns void
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* @returns void
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* */
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* */
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void printInorder(Node *root) {
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void printInorder(Node *root) {
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if (root == nullptr) {
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if (root == nullptr) {
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return;
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return;
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}
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}
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@@ -136,7 +141,7 @@ namespace operations_on_datastructures {
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printInorder(root->left); /// recursive call to left subtree
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printInorder(root->left); /// recursive call to left subtree
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std::cout << root->data << " ";
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std::cout << root->data << " ";
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printInorder(root->right); /// recursive call to right subtree
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printInorder(root->right); /// recursive call to right subtree
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}
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}
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/**
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/**
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* @brief This function is used in test cases to quickly create BST containing
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* @brief This function is used in test cases to quickly create BST containing
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@@ -147,17 +152,18 @@ namespace operations_on_datastructures {
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* inserted as nodes in BST.
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* inserted as nodes in BST.
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* @returns Node pointer to the root node.
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* @returns Node pointer to the root node.
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* */
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* */
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Node *makeBST(Node *root, const std::vector<int64_t> &data) {
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Node *makeBST(Node *root, const std::vector<int64_t> &data) {
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for (int64_t values : data) {
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for (int64_t values : data) {
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root = Insert(root, values);
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root = Insert(root, values);
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}
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}
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return root;
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return root;
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}
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}
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/**
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/**
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* @brief Inorder successor of a node is the next node in inorder traversal of the Binary Tree.
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* @brief Inorder successor of a node is the next node in inorder traversal of
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* This function takes the root node and the data of the node for which we have to find the inorder successor, and
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* the Binary Tree. This function takes the root node and the data of the node
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* returns the inorder successor node.
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* for which we have to find the inorder successor, and returns the inorder
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* successor node.
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* @details Search from the root node as we need to walk the tree starting from
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* @details Search from the root node as we need to walk the tree starting from
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* the root node to the given node, by doing so, we are visiting every ancestor
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* the root node to the given node, by doing so, we are visiting every ancestor
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* of the given node. In order successor would be the deepest node in this path
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* of the given node. In order successor would be the deepest node in this path
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@@ -167,7 +173,7 @@ namespace operations_on_datastructures {
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* successor.
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* successor.
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* @returns Node pointer to the inorder successor node.
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* @returns Node pointer to the inorder successor node.
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* */
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* */
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Node *getInorderSuccessor(Node *root, int64_t data) {
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Node *getInorderSuccessor(Node *root, int64_t data) {
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Node *current = getNode(root, data);
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Node *current = getNode(root, data);
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if (current == nullptr) {
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if (current == nullptr) {
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return nullptr;
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return nullptr;
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@@ -193,31 +199,30 @@ namespace operations_on_datastructures {
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}
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}
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return successor; // Nodes with maximum vales will not have a successor
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return successor; // Nodes with maximum vales will not have a successor
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}
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}
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}
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}
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/**
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/**
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* @brief This function clears the memory allocated to entire tree recursively. Its just for clean up the
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* @brief This function clears the memory allocated to entire tree recursively.
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* memory and not relevant to the actual topic.
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* Its just for clean up the memory and not relevant to the actual topic.
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* @param root Root node of the tree.
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* @param root Root node of the tree.
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* @returns void
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* @returns void
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* */
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* */
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void deallocate (Node* rootNode){
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void deallocate(Node *rootNode) {
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if (rootNode == nullptr) return;
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if (rootNode == nullptr)
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return;
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deallocate(rootNode->left);
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deallocate(rootNode->left);
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deallocate(rootNode->right);
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deallocate(rootNode->right);
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delete(rootNode);
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delete (rootNode);
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}
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}
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} // namespace inorder_traversal_of_bst
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} // namespace inorder_traversal_of_bst
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} // namespace operations_on_datastructures
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} // namespace operations_on_datastructures
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/**
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/**
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* @brief class encapsulating the necessary test cases
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* @brief class encapsulating the necessary test cases
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*/
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*/
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class TestCases {
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class TestCases {
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private:
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private:
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/**
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/**
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* @brief A function to print given message on console.
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* @brief A function to print given message on console.
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* @tparam T Type of the given message.
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* @tparam T Type of the given message.
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@@ -229,7 +234,7 @@ private:
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std::cout << "[TESTS] : ---> " << msg << std::endl;
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std::cout << "[TESTS] : ---> " << msg << std::endl;
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}
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}
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public:
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public:
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/**
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/**
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* @brief Executes test cases
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* @brief Executes test cases
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* @returns void
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* @returns void
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@@ -283,7 +288,8 @@ public:
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assert(inorderSuccessor == expectedOutput);
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assert(inorderSuccessor == expectedOutput);
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log("Assertion check passed!");
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log("Assertion check passed!");
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operations_on_datastructures::inorder_traversal_of_bst::deallocate(root); /// memory cleanup!
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operations_on_datastructures::inorder_traversal_of_bst::deallocate(
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root); /// memory cleanup!
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log("[PASS] : TEST CASE 1 PASS!");
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log("[PASS] : TEST CASE 1 PASS!");
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log("~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~");
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log("~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~");
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@@ -323,7 +329,8 @@ public:
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assert(inorderSuccessor->data == expectedOutput);
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assert(inorderSuccessor->data == expectedOutput);
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log("Assertion check passed!");
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log("Assertion check passed!");
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operations_on_datastructures::inorder_traversal_of_bst::deallocate(root); /// memory cleanup!
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operations_on_datastructures::inorder_traversal_of_bst::deallocate(
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root); /// memory cleanup!
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log("[PASS] : TEST CASE 2 PASS!");
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log("[PASS] : TEST CASE 2 PASS!");
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log("~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~");
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log("~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~");
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@@ -364,7 +371,8 @@ public:
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assert(inorderSuccessor->data == expectedOutput);
|
assert(inorderSuccessor->data == expectedOutput);
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log("Assertion check passed!");
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log("Assertion check passed!");
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operations_on_datastructures::inorder_traversal_of_bst::deallocate(root); /// memory cleanup!
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operations_on_datastructures::inorder_traversal_of_bst::deallocate(
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root); /// memory cleanup!
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log("[PASS] : TEST CASE 3 PASS!");
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log("[PASS] : TEST CASE 3 PASS!");
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log("~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~");
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log("~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~");
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@@ -411,7 +419,7 @@ int main(int argc, char *argv[]) {
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} else {
|
} else {
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std::cout << "Target element is : " << targetElement << std::endl;
|
std::cout << "Target element is : " << targetElement << std::endl;
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std::cout << "Inorder successor for target element is : "
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std::cout << "Inorder successor for target element is : "
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<< inorderSuccessor->data;
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<< inorderSuccessor->data << std::endl;
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}
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}
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deallocate(root); /// memory cleanup!
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deallocate(root); /// memory cleanup!
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||||||
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|||||||
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