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[fix/feat]: remove memory leak in avltree.cpp (TheAlgorithms#2429)
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* fix: remove memory leak by adding deleteAllNodes

* clang-format and clang-tidy fixes for 9d76f8b

* docs: explain usage of standard headers

* docs: use doxygen syntax

* docs: document parameters of the functions

* style: use proper spelling

* style: simplify logic in deleteNode

* docs: add missing [in]

* docs: add missing slashes

* docs: document `main`

Co-authored-by: David Leal <halfpacho@gmail.com>

* updating DIRECTORY.md

* clang-format and clang-tidy fixes for c852f62

---------

Co-authored-by: github-actions[bot] <github-actions@users.noreply.github.com>
Co-authored-by: David Leal <halfpacho@gmail.com>
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3 people authored Feb 4, 2023
1 parent dc8ecfb commit cc33efd
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1 change: 1 addition & 0 deletions DIRECTORY.md
Original file line number Diff line number Diff line change
Expand Up @@ -19,6 +19,7 @@
* [Count Of Trailing Ciphers In Factorial N](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/bit_manipulation/count_of_trailing_ciphers_in_factorial_n.cpp)
* [Find Non Repeating Number](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/bit_manipulation/find_non_repeating_number.cpp)
* [Hamming Distance](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/bit_manipulation/hamming_distance.cpp)
* [Power Of 2](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/bit_manipulation/power_of_2.cpp)
* [Set Kth Bit](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/bit_manipulation/set_kth_bit.cpp)
* [Travelling Salesman Using Bit Manipulation](https://github.com/TheAlgorithms/C-Plus-Plus/blob/HEAD/bit_manipulation/travelling_salesman_using_bit_manipulation.cpp)

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21 changes: 11 additions & 10 deletions bit_manipulation/power_of_2.cpp
Original file line number Diff line number Diff line change
@@ -1,11 +1,12 @@
/**
* @file
* @brief [Find whether a given number is power of 2]
* (https://www.geeksforgeeks.org/program-to-find-whether-a-given-number-is-power-of-2/) implementation
* (https://www.geeksforgeeks.org/program-to-find-whether-a-given-number-is-power-of-2/)
* implementation
*
* @details
* We are given a positive integer number. We need to check whether the number is power of
* 2 or not.
* We are given a positive integer number. We need to check whether the number
* is power of 2 or not.
*
* A binary number consists of two digits. They are 0 & 1. Digit 1 is known as
* set bit in computer terms.
Expand All @@ -27,16 +28,16 @@ namespace bit_manipulation {
* @param n is the number who will be checked
* @returns either true or false
*/
bool isPowerOfTwo(
std ::int64_t n) { // int64_t is preferred over int so that
// no Overflow can be there.
bool isPowerOfTwo(std ::int64_t n) { // int64_t is preferred over int so that
// no Overflow can be there.

return n > 0 && !(n & n - 1); // If we subtract a power of 2 numbers by 1
// then all unset bits after the only set bit become set; and the set bit becomes unset.
return n > 0 && !(n & n - 1); // If we subtract a power of 2 numbers by 1
// then all unset bits after the only set bit become set; and the set bit
// becomes unset.

// If a number n is a power of 2 then bitwise and of n-1 and n will be zero.
// The expression n&(n-1) will not work when n is 0.
// To handle this case also, our expression will become n& (!n&(n-1))
// The expression n&(n-1) will not work when n is 0.
// To handle this case also, our expression will become n& (!n&(n-1))
}
} // namespace bit_manipulation

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146 changes: 98 additions & 48 deletions data_structures/avltree.cpp
Original file line number Diff line number Diff line change
Expand Up @@ -6,38 +6,52 @@
* \warning This program is a poor implementation and does not utilize any of
* the C++ STL features.
*/
#include <algorithm>
#include <iostream>
#include <queue>
#include <algorithm> /// for std::max
#include <iostream> /// for std::cout
#include <queue> /// for std::queue

typedef struct node {
using node = struct node {
int data;
int height;
struct node *left;
struct node *right;
} node;
};

/** Create and return a new Node */
/**
* @brief creates and returns a new node
* @param[in] data value stored in the node
* @return newly created node
*/
node *createNode(int data) {
node *nn = new node();
nn->data = data;
nn->height = 0;
nn->left = NULL;
nn->right = NULL;
nn->left = nullptr;
nn->right = nullptr;
return nn;
}

/** Returns height of tree */
/**
* @param[in] root the root of the tree
* @return height of tree
*/
int height(node *root) {
if (root == NULL)
if (root == nullptr) {
return 0;
}
return 1 + std::max(height(root->left), height(root->right));
}

/** Returns difference between height of left and right subtree */
/**
* @param[in] root of the tree
* @return difference between height of left and right subtree
*/
int getBalance(node *root) { return height(root->left) - height(root->right); }

/** Returns Node after Right Rotation */
/**
* @param root of the tree to be rotated
* @return node after right rotation
*/
node *rightRotate(node *root) {
node *t = root->left;
node *u = t->right;
Expand All @@ -46,7 +60,10 @@ node *rightRotate(node *root) {
return t;
}

/** Returns Node after Left Rotation */
/**
* @param root of the tree to be rotated
* @return node after left rotation
*/
node *leftRotate(node *root) {
node *t = root->right;
node *u = t->left;
Expand All @@ -55,55 +72,67 @@ node *leftRotate(node *root) {
return t;
}

/** Returns node with minimum value in the tree */
/**
* @param root of the tree
* @returns node with minimum value in the tree
*/
node *minValue(node *root) {
if (root->left == NULL)
if (root->left == nullptr) {
return root;
}
return minValue(root->left);
}

/** Balanced Insertion */
/**
* @brief inserts a new element into AVL tree
* @param root of the tree
* @param[in] item the element to be insterted into the tree
* @return root of the updated tree
*/
node *insert(node *root, int item) {
node *nn = createNode(item);
if (root == NULL)
return nn;
if (item < root->data)
if (root == nullptr) {
return createNode(item);
}
if (item < root->data) {
root->left = insert(root->left, item);
else
} else {
root->right = insert(root->right, item);
}
int b = getBalance(root);
if (b > 1) {
if (getBalance(root->left) < 0)
if (getBalance(root->left) < 0) {
root->left = leftRotate(root->left); // Left-Right Case
return rightRotate(root); // Left-Left Case
}
return rightRotate(root); // Left-Left Case
} else if (b < -1) {
if (getBalance(root->right) > 0)
if (getBalance(root->right) > 0) {
root->right = rightRotate(root->right); // Right-Left Case
return leftRotate(root); // Right-Right Case
}
return leftRotate(root); // Right-Right Case
}
return root;
}

/** Balanced Deletion */
node *deleteNode(node *root, int key) {
if (root == NULL)
/**
* @brief removes a given element from AVL tree
* @param root of the tree
* @param[in] element the element to be deleted from the tree
* @return root of the updated tree
*/
node *deleteNode(node *root, int element) {
if (root == nullptr) {
return root;
if (key < root->data)
root->left = deleteNode(root->left, key);
else if (key > root->data)
root->right = deleteNode(root->right, key);
}
if (element < root->data) {
root->left = deleteNode(root->left, element);
} else if (element > root->data) {
root->right = deleteNode(root->right, element);

else {
} else {
// Node to be deleted is leaf node or have only one Child
if (!root->right) {
node *temp = root->left;
delete (root);
root = NULL;
return temp;
} else if (!root->left) {
node *temp = root->right;
delete (root);
root = NULL;
if (!root->right || !root->left) {
node *temp = !root->right ? root->left : root->right;
delete root;
return temp;
}
// Node to be deleted have both left and right subtrees
Expand All @@ -115,26 +144,46 @@ node *deleteNode(node *root, int key) {
return root;
}

/** LevelOrder (Breadth First Search) */
/**
* @brief calls delete on every node
* @param root of the tree
*/
void deleteAllNodes(const node *const root) {
if (root) {
deleteAllNodes(root->left);
deleteAllNodes(root->right);
delete root;
}
}

/**
* @brief prints given tree in the LevelOrder
* @param[in] root of the tree
*/
void levelOrder(node *root) {
std::queue<node *> q;
q.push(root);
while (!q.empty()) {
root = q.front();
std::cout << root->data << " ";
q.pop();
if (root->left)
if (root->left) {
q.push(root->left);
if (root->right)
}
if (root->right) {
q.push(root->right);
}
}
}

/** Main function */
/**
* @brief Main function
* @returns 0 on exit
*/
int main() {
// Testing AVL Tree
node *root = NULL;
int i;
node *root = nullptr;
int i = 0;
for (i = 1; i <= 7; i++) root = insert(root, i);
std::cout << "LevelOrder: ";
levelOrder(root);
Expand All @@ -144,5 +193,6 @@ int main() {
root = deleteNode(root, 4); // Deletin key with value 4
std::cout << "\nLevelOrder: ";
levelOrder(root);
deleteAllNodes(root);
return 0;
}

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