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Answer for question 5:
#include <vector>
using namespace std;
bool sortbyfrequency(const pair<int, int>& a, const pair<int, int>& b) {
if (a.second != b.second) {
return a.second > b.second;
}
return a.first = b.first;
}
void sortByFrequency(int arr[], int n){
vector<pair<int, int>> frequency;
for (int i = 0; i < n; i++) {
bool found = false;
for (auto& p : frequency) {
if (p.first == arr[i]) {
p.second++;
found = true;
break;
}
}
if (!found) {
frequency.push_back(make_pair(arr[i], 1));
}
}
sort(frequency.begin(), frequency.end(), sortbyfrequency);
int index = 0;
for (const auto& p : frequency) {
for (int i = 0; i < p.second; i++) {
arr[index++] = p.first;
}
}
} | [
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Answer for question 5:
#include <vector>
using namespace std;
bool sortbyfrequency(const pair<int, int>& a, const pair<int, int>& b) {
if (a.second != b.second) {
return a.second > b.second;
}
return a.first == b.first;
}
void sortByFrequency(int arr[], int n){
vector<pair<int, int>> frequency;
for (int i = 0; i < n; i++) {
bool found = false;
for (auto& p : frequency) {
if (p.first == arr[i]) {
p.second++;
found = true;
break;
}
}
if (!found) {
frequency.push_back(make_pair(arr[i], 1));
}
}
sort(frequency.begin(), frequency.end(), sortbyfrequency);
int index = 0;
for (const auto& p : frequency) {
for (int i = 0; i < p.second; i++) {
arr[index++] = p.first;
}
}
} | [
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Answer for question 7:
int longestPathSum(BTNode* root) {
if(root == NULL) {
return 0;
}
// Recursively calculate the sums of the left and right subtrees
int leftSum = longestpathsum(root->left);
int rightSum = longestpathsum(root->right);
// Return the maximum of the left and right subtree sums, plus the current node's value
return root->val + std::max(leftSum, rightSum);
} | [
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Answer for question 7:
int longestPathSum(BTNode* root) {
if(root == NULL) {
return 0;
}
// Recursively calculate the sums of the left and right subtrees
int leftSum = longestPathSum(root->left);
int rightSum = longestPathSum(root->right);
// Return the maximum of the left and right subtree sums, plus the current node's value
return root->val + std::max(leftSum, rightSum);
} | [
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Answer for question 7:
int longestPathSum(BTNode* root) {
if(root == NULL) {
return 0;
}
// Recursively calculate the sums of the left and right subtrees
int leftSum = longestPathSum(root->left);
int rightSum = longestPathSum(root->right);
// Return the maximum of the left and right subtree sums, plus the current node's value
return root->val + max(leftSum, rightSum);
} | [
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Answer for question 7:
int longestPathSum(BTNode* root) {
if (root == NULL) {
return 0;
}
int leftSum = longestPathSum(root->left);
int rightSum = longestPathSum(root->right);
if (leftSum > rightSum) {
return root->val + leftSum;
} else if (leftSum < rightSum) {
return root->val + rightSum;
} else {
return root->val + max(leftSum, rightSum);
}
} | [
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Answer for question 9:
// STUDENT ANSWER BEGIN
// You can define other functions here to help you.
int getHeightHelper(Node* node) {
if (!node)
return 0;
int leftHeight = getHeightHelper(node->pLeft);
int rightHeight = getHeightHelper(node->pRight);
return max(leftHeight, rightHeight) + 1;
}
int getHeight() {
// TODO: return height of the binary tree.
return getHeightHelper(root);
}
void preOrderHelper(Node* node, stringstream& ss) {
if (!node)
return;
ss << node->value << " ";
preOrderHelper(node->pLeft, ss);
preOrderHelper(node->pRight, ss);
}
string preOrder() {
// TODO: return the sequence of values of nodes in pre-order.
stringstream ss;
preOrderHelper(root, ss);
return ss.str();
}
void inOrderHelper(Node* node, stringstream& ss) {
if (!node)
return;
inOrderHelper(node->pLeft, ss);
ss << node->value << " ";
inOrderHelper(node->pRight, ss);
}
string inOrder() {
// TODO: return the sequence of values of nodes in in-order.
stringstream ss;
inOrderHelper(root, ss);
return ss.str();
}
void postOrderHelper(Node* node, stringstream& ss) {
if (!node)
return;
postOrderHelper(node->pLeft, ss);
postOrderHelper(node->pRight, ss);
ss << node->value << " ";
}
string postOrder() {
// TODO: return the sequence of values of nodes in post-order.
stringstream ss;
postOrderHelper(root, ss);
return ss.str();
}
// STUDENT ANSWER END | [
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Answer for question 14:
// STUDENT ANSWER BEGIN
// You can define other functions here to help you.
bool find(T i) {
// TODO: return true if value i is in the tree; otherwise, return false.
Node* curr = root;
while(curr != nullptr) {
if(curr->value == i) {
return true;
} else if(i < curr->value) {
curr = curr->pLeft;
} else {
curr = curr->pRight;
}
}
return false;
}
T sum(T l, T r) {
// TODO: return the sum of all element in the tree has value in range [l,r].
T sum = 0;
sumRec(root, l, r, sum);
return sum;
}
void sumRec(Node* root, T l, T r, T& sum) {
if(root == nullptr) {
return;
}
if(root->value >= l && root->value <= r) {
sum += root->value;
}
if(root->value > l) {
sumRec(root->pLeft, l, r, sum);
}
if(root->value < r) {
sumRec(root->pRight, l, r, sum);
}
}
// STUDENT ANSWER END | [
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Answer for question 15:
// STUDENT ANSWER BEGIN
// You can define other functions here to help you.
T getMin() {
//TODO: return the minimum values of nodes in the tree.
if(root == nullptr) {
throw "Tree is empty";
}
Node* curr = root;
while(curr->pLeft != nullptr) {
curr = curr->pLeft;
}
return curr->value;
}
T getMax() {
//TODO: return the maximum values of nodes in the tree.
if(root == nullptr) {
throw "Tree is empty";
}
Node* curr = root;
while(curr->pRight != nullptr) {
curr = curr->pRight;
}
return curr->value;
}
// STUDENT ANSWER END | [
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] |
Answer for question 12:
int kthSmallest(BSTNode* root, int k) {
// STUDENT ANSWER
stack<BSTNode*> s;
BSTNode* curr = root;
int count = 0;
while(curr != nullptr || !s.empty()) {
while(curr != nullptr) {
s.push(curr);
curr = curr->left;
}
curr = s.top();
s.pop();
count++;
if(count == k) {
return curr->val;
}
curr = curr->right;
}
return -1;
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Answer for question 13:
int singleChild(BSTNode* root) {
// STUDENT ANSWER
if(root == nullptr) {
return 0;
}
int count = 0;
if((root->left != nullptr && root->right == nullptr) || (root->left == nullptr && root->right != nullptr)) {
count++;
}
count += singleChild(root->left);
count += singleChild(root->right);
return count;
} | [
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Answer for question 1:
void insert(const T &value)
{
this->root = insertRec(this->root, value);
}
Node* insertRec(Node* node, const T &value)
{
// Perform standard BST insert
if (node == NULL)
return new Node(value);
if (value < node->data)
node->pLeft = insertRec(node->pLeft, value);
else if (value >= node->data)
node->pRight = insertRec(node->pRight, value);
// Update balance factor and balance tree
node->balance = getBalance(node);
return balance(node);
}
int getBalance(Node *node)
{
if (node == NULL)
return 0;
return getHeightRec(node->pLeft) - getHeightRec(node->pRight);
}
Node* balance(Node* node)
{
if (node->balance > 1)
{
if (getBalance(node->pLeft) >= 0)
return rotateRight(node);
else
{
node->pLeft = rotateLeft(node->pLeft);
return rotateRight(node);
}
}
else if (node->balance < -1)
{
if (getBalance(node->pRight) <= 0)
return rotateLeft(node);
else
{
node->pRight = rotateRight(node->pRight);
return rotateLeft(node);
}
}
return node;
}
Node* rotateLeft(Node* node)
{
Node* newRoot = node->pRight;
node->pRight = newRoot->pLeft;
newRoot->pLeft = node;
node->balance = getBalance(node);
newRoot->balance = getBalance(newRoot);
return newRoot;
}
Node* rotateRight(Node* node)
{
Node* newRoot = node->pLeft;
node->pLeft = newRoot->pRight;
newRoot->pRight = node;
node->balance = getBalance(node);
newRoot->balance = getBalance(newRoot);
return newRoot;
}
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Answer for question 1:
Node* rotateRight(Node* root) {
//TODO: Rotate and return new root after rotate
}
Node* rotateLeft(Node* root) {
//TODO: Rotate and return new root after rotate
} | [
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Answer for question 2:
void insert(const T &value)
{
this->root = insertRec(this->root, value);
}
Node* insertRec(Node* node, const T &value)
{
// Perform standard BST insert
if (node == NULL)
return new Node(value);
if (value < node->data)
node->pLeft = insertRec(node->pLeft, value);
else if (value >= node->data)
node->pRight = insertRec(node->pRight, value);
// Update balance factor and balance tree
node->balance = getBalance(node);
return balance(node);
}
int getBalance(Node *node)
{
if (node == NULL)
return 0;
return getHeightRec(node->pLeft) - getHeightRec(node->pRight);
}
Node* balance(Node* node)
{
if (node->balance > 1)
{
if (getBalance(node->pLeft) >= 0)
return rotateRight(node);
else
{
node->pLeft = rotateLeft(node->pLeft);
return rotateRight(node);
}
}
else if (node->balance < -1)
{
if (getBalance(node->pRight) <= 0)
return rotateLeft(node);
else
{
node->pRight = rotateRight(node->pRight);
return rotateLeft(node);
}
}
return node;
}
Node* rotateLeft(Node* node)
{
Node* newRoot = node->pRight;
node->pRight = newRoot->pLeft;
newRoot->pLeft = node;
node->balance = getBalance(node);
newRoot->balance = getBalance(newRoot);
return newRoot;
}
Node* rotateRight(Node* node)
{
Node* newRoot = node->pLeft;
node->pLeft = newRoot->pRight;
newRoot->pRight = node;
node->balance = getBalance(node);
newRoot->balance = getBalance(newRoot);
return newRoot;
}
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] |
Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
}
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Answer for question 5:
bool search(const T& value) {
Node* currentNode = root;
while (currentNode != nullptr) {
if (currentNode->data == value) {
return true;
} else if (value < currentNode->data) {
currentNode = currentNode->pLeft;
} else {
currentNode = currentNode->pRight;
}
}
return false;
}
void printInorder() {
printInorder(root);
cout << " ";
}
void printInorder(Node* node) {
if (node == nullptr) {
return;
}
printInorder(node->pLeft);
cout << node->data << " ";
printInorder(node->pRight);
} | [
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Answer for question 1:
Node* rotateRight(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pLeft;
root->pLeft = newRoot->pRight;
newRoot->pRight = root;
root->balance = EH;
if (newRoot->balance == RH) {
root->balance = LH;
}
newRoot->balance = EH;
return newRoot;
}
Node* rotateLeft(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pRight;
root->pRight = newRoot->pLeft;
newRoot->pLeft = root;
root->balance = EH;
if (newRoot->balance == LH) {
root->balance = RH;
}
newRoot->balance = EH;
return newRoot;
}
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
root = insert(root, value);
}
Node* insert(Node* subroot, const T& value) {
// Base case: found an empty spot to insert the new node
if (subroot == nullptr) {
return new Node(value);
}
// Recursive case: find the correct subtree to insert the new node
if (value < subroot->data) {
subroot->pLeft = insert(subroot->pLeft, value);
} else if (value > subroot->data) {
subroot->pRight = insert(subroot->pRight, value);
} else {
subroot->pRight = insert(subroot->pRight, value);
}
// Update balance factor of subroot
int balance = getBalance(subroot);
// Case 1: Left Left
if (balance > 1 && value < subroot->pLeft->data) {
return rotateRight(subroot);
}
// Case 2: Right Right
if (balance < -1 && value > subroot->pRight->data) {
return rotateLeft(subroot);
}
// Case 3: Left Right
if (balance > 1 && value > subroot->pLeft->data) {
subroot->pLeft = rotateLeft(subroot->pLeft);
return rotateRight(subroot);
}
// Case 4: Right Left
if (balance < -1 && value < subroot->pRight->data) {
subroot->pRight = rotateRight(subroot->pRight);
return rotateLeft(subroot);
}
// Case 5: No imbalance, return the subroot
return subroot;
}
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
}
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Answer for question 3:
//Helping functions
void rotateLeft(Node *&root)
{
Node *tempPtr = root->pRight;
root->pRight = tempPtr->pLeft;
tempPtr->pLeft = root;
root = tempPtr;
}
void rotateRight(Node *&root)
{
Node *tempPtr = root->pLeft;
root->pLeft = tempPtr->pRight;
tempPtr->pRight = root;
root = tempPtr;
}
void insertRec(Node *&root, const T &value, bool &taller)
{
if (root == NULL)
{
root = new Node(value);
taller = true;
}
else if (value >= root->data)
{
insertRec(root->pRight, value, taller);
if (taller)
{
if (root->balance == LH)
{
root->balance = EH;
taller = false;
}
else if (root->balance == EH)
{
root->balance = RH;
}
else
{
rotateLeft(root);
taller = false;
}
}
}
else
{
insertRec(root->pLeft, value, taller);
if (taller)
{
if (root->balance == RH)
{
root->balance = EH;
taller = false;
}
else if (root->balance == EH)
{
root->balance = LH;
}
else
{
rotateRight(root);
taller = false;
}
}
}
}
void insert(const T &value){
//TODO
bool taller = false;
insertRec(this->root, value, taller);
}
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Answer for question 4:
//Helping functions
Node* removeRec(Node* node, const T &value)
{
// Perform standard BST delete
if (node == NULL)
return node;
if (value < node->data)
node->pLeft = removeRec(node->pLeft, value);
else if(value > node->data)
node->pRight = removeRec(node->pRight, value);
else
{
// node with only one child or no child
if( (node->pLeft == NULL) || (node->pRight == NULL) )
{
Node *temp = node->pLeft ? node->pLeft : node->pRight;
// No child case
if(temp == NULL)
{
temp = node;
node = NULL;
}
else // One child case
*node = *temp; // Copy the contents of the non-empty child
delete temp;
}
else
{
// node with two children: get the inorder
// successor (smallest in the right subtree)
Node* temp = minValueNode(node->pRight);
// copy the inorder successor's data to this node
node->data = temp->data;
// delete the inorder successor
node->pRight = removeRec(node->pRight, temp->data);
}
}
// if the tree had only one node then return
if (node == NULL)
return node;
// update height of the current node
node->height = 1 + max(height(node->pLeft), height(node->pRight));
// get the balance factor
int balance = getBalance(node);
// if this node becomes unbalanced, then there are 4 cases
// left left case
if (balance > 1 && getBalance(node->pLeft) >= 0)
return rightRotate(node);
// left right case
if (balance > 1 && getBalance(node->pLeft) < 0)
{
node->pLeft = leftRotate(node->pLeft);
return rightRotate(node);
}
// right right case
if (balance < -1 && getBalance(node->pRight) <= 0)
return leftRotate(node);
// right left case
if (balance < -1 && getBalance(node->pRight) > 0)
{
node->pRight = rightRotate(node->pRight);
return leftRotate(node);
}
return node;
}
void remove(const T &value){
//TODO
this->root = this->removeRec(this->root, value);
}
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Answer for question 4:
//Helping functions
void remove(const T &value){
//TODO
} | [
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Answer for question 7:
/// BEGIN STUDENT CODE
======================================
// You may need some helping functions here
string toStringPreOrder() {
stringstream ss;
if (root != nullptr) {
Node *currentNode = root;
stack<Node *> nodeStack;
while (currentNode != nullptr || !nodeStack.empty()) {
if (currentNode != nullptr) {
for (int i = 0; i < currentNode->numEntries; i++) {
ss << currentNode->entries[i].toString() << " ";
}
if (currentNode->firstPtr != nullptr) {
nodeStack.push(currentNode->firstPtr);
}
currentNode = currentNode->entries[0].rightPtr;
} else {
currentNode = nodeStack.top();
nodeStack.pop();
}
}
}
return ss.str();
}
/// END STUDENT CODE | [
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Answer for question 6:
/// BEGIN STUDENT CODE
string toString() {
stringstream ss;
// Fill your code here
ss << "[" << "(" << numEntries << ")";
for (int i = 0; i < numEntries; i++) {
ss << entries[i].toString();
}
ss << "]";
return ss.str();
}
/// END STUDENT CODE | [
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Answer for question 8:
/// BEGIN STUDENT CODE
/// ======================================================
// You may need some helping functions here
bool search(const K& key, Node*& outNodePtr, int& outEntryIdx) {
Node* currentNode = root;
outNodePtr = nullptr;
while (currentNode != nullptr) {
int entryIdx = 0;
while (entryIdx < currentNode->numEntries && key > currentNode->entries[entryIdx].key) {
entryIdx++;
}
if (entryIdx < currentNode->numEntries && key == currentNode->entries[entryIdx].key) {
// Found the key
outNodePtr = currentNode;
outEntryIdx = entryIdx;
return true;
} else if (currentNode->firstPtr == nullptr) {
// Key not found and no more children to explore
return false;
} else {
// Traverse to next child
currentNode = currentNode->firstPtr;
outNodePtr = currentNode;
}
}
return false;
}
/// END STUDENT CODE | [
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Answer for question 8:
/// BEGIN STUDENT CODE
/// ======================================================
// You may need some helping functions here
bool search(const K& key, Node*& outNodePtr, int& outEntryIdx) {
Node* currentNode = root;
outNodePtr = nullptr;
while (currentNode != nullptr) {
int entryIdx = 0;
while (entryIdx < currentNode->numEntries && key > currentNode->entries[entryIdx].key) {
entryIdx++;
}
if (entryIdx < currentNode->numEntries && key == currentNode->entries[entryIdx].key) {
outNodePtr = currentNode;
outEntryIdx = entryIdx;
return true;
} else if (currentNode->firstPtr == nullptr) {
return false;
} else {
currentNode = currentNode->firstPtr;
outNodePtr = currentNode;
}
}
return false;
}
/// END STUDENT CODE | [
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Answer for question 7:
/// BEGIN STUDENT CODE
======================================
// You may need some helping functions here
void preOrderTraversal(Node* node, stringstream& ss) {
if (node == nullptr) {
return;
}
for (int i = 0; i < node->numEntries; i++) {
ss << node->entries[i].toString() << " ";
preOrderTraversal(node->entries[i].rightPtr, ss);
}
preOrderTraversal(node->firstPtr, ss);
}
string toStringPreOrder() {
stringstream ss;
preOrderTraversal(root, ss);
return ss.str();
}
/// END STUDENT CODE | [
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Answer for question 7:
/// BEGIN STUDENT CODE
======================================
// You may need some helping functions here
string toStringPreOrder() {
}
/// END STUDENT CODE | [
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] |
Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
Node *newNode = new Node(value);
if (this->root == NULL)
{
this->root = newNode;
return;
}
Node *current = this->root;
Node *parent = NULL;
while (current != NULL)
{
if (value == current->data)
{
parent = current;
current = current->pRight;
continue;
}
if (value < current->data)
{
parent = current;
current = current->pLeft;
}
else
{
parent = current;
current = current->pRight;
}
}
if (value <= parent->data)
{
parent->pLeft = newNode;
}
else
{
parent->pRight = newNode;
}
// Rebalance the tree from the inserted node to the root
current = newNode;
while (current != NULL)
{
int bf = getBalanceFactor(current);
if (bf == LH || bf == RH)
{
// Perform rotation
if (bf == LH && getBalanceFactor(current->pLeft) == LH)
{
rotateRight(current, parent);
}
else if (bf == RH && getBalanceFactor(current->pRight) == RH)
{
rotateLeft(current, parent);
}
else if (bf == LH && getBalanceFactor(current->pLeft) == RH)
{
rotateLeft(current->pLeft, current);
rotateRight(current, parent);
}
else // bf == RH && getBalanceFactor(current->pRight) == LH
{
rotateRight(current->pRight, current);
rotateLeft(current, parent);
}
break; // Stop rebalancing, the tree is balanced now
}
else // bf == EH
{
// Update balance factor
if (current == parent->pLeft)
{
parent->balance--;
}
else
{
parent->balance++;
}
}
current = parent;
parent = getParent(current);
}
}
// Rotate the tree rooted at node to the right
void rotateRight(Node *node, Node *parent)
{
Node *left = node->pLeft;
node->pLeft = left->pRight;
left->pRight = node;
if (node == this->root)
{
this->root = left;
}
else if (parent->pLeft == node)
{
parent->pLeft = left;
}
else // parent->pRight == node
{
parent->pRight = left;
}
// Update balance factors
node->balance = EH;
left->balance = EH;
}
// Rotate the tree rooted at node to the left
void rotateLeft(Node *node, Node *parent)
{
Node *right = node->pRight;
node->pRight = right->pLeft;
right->pLeft = node;
if (node == this->root)
{
this->root = right;
}
else if (parent->pLeft == node)
{
parent->pLeft = right;
}
else // parent->pRight == node
{
parent->pRight = right;
}
// Update balance factors
node->balance = EH;
right->balance = EH;
}
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
}
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
node* newNode = new node(value);
if (root == nullptr) {
root = newNode;
return;
}
node* current = root;
node* parent = nullptr;
while (current != nullptr) {
parent = current;
if (value < current->data) {
current = current->pleft;
} else {
current = current->pright;
}
}
if (value < parent->data) {
parent->pleft = newNode;
} else {
parent->pright = newNode;
}
// Update balance from parent to root
current = parent;
while (current != nullptr) {
if (value < current->data) {
current->balance--;
} else {
current->balance++;
}
if (current->balance == 0 || current->balance == -1 || current->balance == 1) {
// Tree is still balanced, no rotation needed
return;
}
if (current->balance == -2 || current->balance == 2) {
// Tree is unbalanced, perform rotation
if (current->balance == -2) {
if (value < current->pleft->data) {
// Left of left unbalanced tree
current = rotateRight(current); // Perform right rotation
} else {
// Right of left unbalanced tree
current->pleft = rotateLeft(current->pleft); // Perform left rotation
current = rotateRight(current); // Perform right rotation
}
} else {
if (value >= current->pright->data) {
// Right of right unbalanced tree
current = rotateLeft(current); // Perform left rotation
} else {
// Left of right unbalanced tree
current->pright = rotateRight(current->pright); // Perform right rotation
current = rotateLeft(current); // Perform left rotation
}
}
if (current->balance == 0 || current->balance == -1 || current->balance == 1) {
// Tree is balanced after rotation, no further adjustment needed
return;
}
}
if (current == root) {
root = current; // Update root if necessary
} else if (value < parent->data) {
parent->pleft = current; // Update parent's left child
} else {
parent->pright = current; // Update parent's right child
}
parent = current;
if (value < current->data) {
current = current->pleft;
} else {
current = current->pright;
}
}
}
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
}
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
this->root = insertRec(this->root, value);
}
Node* insertRec(Node* node, const T &value)
{
// Perform standard BST insert
if (node == NULL)
return new Node(value);
if (value < node->data)
node->pLeft = insertRec(node->pLeft, value);
else if (value > node->data)
node->pRight = insertRec(node->pRight, value);
else // Equal values are not allowed in BST
return node;
// Update balance factor of this ancestor node
node->balance = getBalance(node);
// If this node becomes unbalanced, then there are 4 cases
// Left Left Case
if (node->balance > 1 && value < node->pLeft->data)
return rightRotate(node);
// Right Right Case
if (node->balance < -1 && value > node->pRight->data)
return leftRotate(node);
// Left Right Case
if (node->balance > 1 && value > node->pLeft->data)
{
node->pLeft = leftRotate(node->pLeft);
return rightRotate(node);
}
// Right Left Case
if (node->balance < -1 && value < node->pRight->data)
{
node->pRight = rightRotate(node->pRight);
return leftRotate(node);
}
// return the (unchanged) node pointer
return node;
}
Node* rightRotate(Node *y)
{
Node *x = y->pLeft;
Node *T2 = x->pRight;
// Perform rotation
x->pRight = y;
y->pLeft = T2;
// Update heights
y->balance = max(getHeightRec(y->pLeft), getHeightRec(y->pRight)) + 1;
x->balance = max(getHeightRec(x->pLeft), getHeightRec(x->pRight)) + 1;
// Return new root
return x;
}
// A utility function to left rotate subtree rooted with x
Node* leftRotate(Node *x)
{
Node *y = x->pRight;
Node *T2 = y->pLeft;
// Perform rotation
y->pLeft = x;
x->pRight = T2;
// Update heights
x->balance = max(getHeightRec(x->pLeft), getHeightRec(x->pRight)) + 1;
y->balance = max(getHeightRec(y->pLeft), getHeightRec(y->pRight)) + 1;
// Return new root
return y;
}
// Get Balance factor of node N
int getBalance(Node *N)
{
if (N == NULL)
return 0;
return getHeightRec(N->pLeft) - getHeightRec(N->pRight);
}
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
}
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Answer for question 4:
//Helping functions
void remove(const T &value){
//TODO
Node *node = root;
Node *parent = NULL;
while (node != NULL && node->data != value)
{
parent = node;
if (node->data > value)
node = node->pLeft;
else
node = node->pRight;
}
if (node == NULL)
return;
if (node->pLeft != NULL && node->pRight != NULL)
{
Node *succ = node->pRight;
while (succ->pLeft != NULL)
succ = succ->pLeft;
node->data = succ->data;
node = succ;
}
Node *child = NULL;
if (node->pLeft != NULL)
child = node->pLeft;
else if (node->pRight != NULL)
child = node->pRight;
if (parent == NULL)
root = child;
else if (parent->pLeft == node)
parent->pLeft = child;
else
parent->pRight = child;
delete node;
while (parent != NULL)
{
int lh = getHeightRec(parent->pLeft);
int rh = getHeightRec(parent->pRight);
parent->balance = (lh - rh);
if (parent->balance == -2)
{
if (parent->pRight->balance == -1)
rotateLeft(parent);
else
rotateRightLeft(parent);
break;
}
else if (parent->balance == 2)
{
if (parent->pLeft->balance == 1)
rotateRight(parent);
else
rotateLeftRight(parent);
break;
}
node = parent;
parent = parent->parentNode;
}
} | [
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Answer for question 4:
//Helping functions
void remove(const T &value){
//TODO
} | [
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
Node* newNode = new Node(value);
if (root == nullptr) {
root = newNode;
} else {
insertRec(root, newNode);
}
}
void insertRec(Node* currentNode, Node* newNode) {
if (newNode->data < currentNode->data) {
// Go to the left subtree
if (currentNode->pLeft == nullptr) {
currentNode->pLeft = newNode;
} else {
insertRec(currentNode->pLeft, newNode);
}
} else {
// Go to the right subtree
if (currentNode->pRight == nullptr) {
currentNode->pRight = newNode;
} else {
insertRec(currentNode->pRight, newNode);
}
}
// Update balance factor of current node
currentNode->balance = calculateBalance(currentNode);
// Perform rotations if necessary
if (currentNode->balance == LH || currentNode->balance == RH) {
rebalance(currentNode);
}
}
BalanceValue calculateBalance(Node* node) {
int leftHeight = getHeightRec(node->pLeft);
int rightHeight = getHeightRec(node->pRight);
if (leftHeight > rightHeight) {
return LH;
} else if (leftHeight < rightHeight) {
return RH;
} else {
return EH;
}
}
void rebalance(Node* node) {
if (node->balance == LH) {
if (calculateBalance(node->pLeft) == RH) {
rotateLeft(node->pLeft);
}
rotateRight(node);
} else if (node->balance == RH) {
if (calculateBalance(node->pRight) == LH) {
rotateRight(node->pRight);
}
rotateLeft(node);
}
}
void rotateLeft(Node* node) {
Node* pivot = node->pRight;
node->pRight = pivot->pLeft;
pivot->pLeft = node;
node->balance = calculateBalance(node);
pivot->balance = calculateBalance(pivot);
if (node == root) {
root = pivot;
}
}
void rotateRight(Node* node) {
Node* pivot = node->pLeft;
node->pLeft = pivot->pRight;
pivot->pRight = node;
node->balance = calculateBalance(node);
pivot->balance = calculateBalance(pivot);
if (node == root) {
root = pivot;
}
} | [
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
}
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Answer for question 2:
//Helping functions
Node* rotateRight(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pLeft;
root->pLeft = newRoot->pRight;
newRoot->pRight = root;
root->balance = EH;
if (newRoot->balance == RH) {
root->balance = LH;
}
newRoot->balance = EH;
return newRoot;
}
Node* rotateLeft(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pRight;
root->pRight = newRoot->pLeft;
newRoot->pLeft = root;
root->balance = EH;
if (newRoot->balance == LH) {
root->balance = RH;
}
newRoot->balance = EH;
return newRoot;
}
void insert(const T &value){
//TODO
this->root = insertRec(this->root, value);
}
Node* insertRec(Node* node, const T &value) {
if (node == nullptr)
return new Node(value);
if (value < node->data)
{
node->pLeft = insertRec(node->pLeft, value);
}
else if (value > node->data)
{
node->pRight = insertRec(node->pRight, value);
}
else
{
// If the value is equal, insert in the right subtree
node->pRight = insertRec(node->pRight, value);
}
// Update balance factor and check for unbalance
updateBalance(node);
// Perform rotations if needed
if (node->balance == LH && value < node->pLeft->data)
{
return rotateRight(node);
}
if (node->balance == RH && value > node->pRight->data)
{
return rotateLeft(node);
}
if (node->balance == LH && value > node->pLeft->data)
{
node->pLeft = rotateLeft(node->pLeft);
return rotateRight(node);
}
if (node->balance == RH && value < node->pRight->data)
{
node->pRight = rotateRight(node->pRight);
return rotateLeft(node);
}
return node;
}
void updateBalance(Node* node) {
int lh = getHeightRec(node->pLeft);
int rh = getHeightRec(node->pRight);
node->balance = static_cast<BalanceValue>(rh - lh);
} | [
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
}
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Answer for question 2:
//Helping functions
Node* rotateRight(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pLeft;
root->pLeft = newRoot->pRight;
newRoot->pRight = root;
root->balance = EH;
if (newRoot->balance == RH) {
root->balance = LH;
}
newRoot->balance = EH;
return newRoot;
}
Node* rotateLeft(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pRight;
root->pRight = newRoot->pLeft;
newRoot->pLeft = root;
root->balance = EH;
if (newRoot->balance == LH) {
root->balance = RH;
}
newRoot->balance = EH;
return newRoot;
}x
void insert(const T &value){
//TODO
if (root = NULL) return new Node(value);
}
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Answer for question 2:
//Helping functions
Node* rotateRight(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pLeft;
root->pLeft = newRoot->pRight;
newRoot->pRight = root;
root->balance = EH;
if (newRoot->balance == RH) {
root->balance = LH;
}
newRoot->balance = EH;
return newRoot;
}
Node* rotateLeft(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pRight;
root->pRight = newRoot->pLeft;
newRoot->pLeft = root;
root->balance = EH;
if (newRoot->balance == LH) {
root->balance = RH;
}
newRoot->balance = EH;
return newRoot;
}
void insert(const T &value){
//TODO
if (root = NULL) return new Node(value);
}
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Answer for question 2:
//Helping functions
Node* rotateRight(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pLeft;
root->pLeft = newRoot->pRight;
newRoot->pRight = root;
root->balance = EH;
if (newRoot->balance == RH) {
root->balance = LH;
}
newRoot->balance = EH;
return newRoot;
}
Node* rotateLeft(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pRight;
root->pRight = newRoot->pLeft;
newRoot->pLeft = root;
root->balance = EH;
if (newRoot->balance == LH) {
root->balance = RH;
}
newRoot->balance = EH;
return newRoot;
}
void insert(const T &value){
//TODO
root = inserthelp(root, value);
}
Node* inserthelp(Node* root, const T &value) {
if (root == NULL) return new Node(value);
} | [
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Answer for question 2:
//Helping functions
Node* rotateRight(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pLeft;
root->pLeft = newRoot->pRight;
newRoot->pRight = root;
root->balance = EH;
if (newRoot->balance == RH) {
root->balance = LH;
}
newRoot->balance = EH;
return newRoot;
}
Node* rotateLeft(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pRight;
root->pRight = newRoot->pLeft;
newRoot->pLeft = root;
root->balance = EH;
if (newRoot->balance == LH) {
root->balance = RH;
}
newRoot->balance = EH;
return newRoot;
}
void insert(const T &value){
//TODO
this->root = inserthelp(this->root, value);
}
Node* inserthelp(Node* root, const T &value) {
if (root == NULL) return new Node(value);
} | [
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Answer for question 2:
//Helping functions
/*
Node* rotateRight(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pLeft;
root->pLeft = newRoot->pRight;
newRoot->pRight = root;
root->balance = EH;
if (newRoot->balance == RH) {
root->balance = LH;
}
newRoot->balance = EH;
return newRoot;
}
Node* rotateLeft(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pRight;
root->pRight = newRoot->pLeft;
newRoot->pLeft = root;
root->balance = EH;
if (newRoot->balance == LH) {
root->balance = RH;
}
newRoot->balance = EH;
return newRoot;
}
*/
void insert(const T &value){
//TODO
this->root = inserthelp(this->root, value);
}
Node* inserthelp(Node* root, const T &value) {
if (root == NULL) return new Node(value);
} | [
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Answer for question 2:
//Helping functions
/*
Node* rotateRight(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pLeft;
root->pLeft = newRoot->pRight;
newRoot->pRight = root;
root->balance = EH;
if (newRoot->balance == RH) {
root->balance = LH;
}
newRoot->balance = EH;
return newRoot;
}
Node* rotateLeft(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pRight;
root->pRight = newRoot->pLeft;
newRoot->pLeft = root;
root->balance = EH;
if (newRoot->balance == LH) {
root->balance = RH;
}
newRoot->balance = EH;
return newRoot;
}
*/\
Node* inserthelp(Node* root, const T &value) {
if (root == NULL) return new Node(value);
}
void insert(const T &value){
//TODO
this->root = inserthelp(this->root, value);
}
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Answer for question 2:
//Helping functions
/*
Node* rotateRight(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pLeft;
root->pLeft = newRoot->pRight;
newRoot->pRight = root;
root->balance = EH;
if (newRoot->balance == RH) {
root->balance = LH;
}
newRoot->balance = EH;
return newRoot;
}
Node* rotateLeft(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pRight;
root->pRight = newRoot->pLeft;
newRoot->pLeft = root;
root->balance = EH;
if (newRoot->balance == LH) {
root->balance = RH;
}
newRoot->balance = EH;
return newRoot;
}
*/\
template<class T>
void AVLTree<T>::insert(const T &value)
{
this->root = insertRec(this->root, value);
}
template<class T>
typename AVLTree<T>::Node* AVLTree<T>::insertRec(Node* node, const T &value)
{
if (node == nullptr)
return new Node(value);
if (value < node->data)
{
node->pLeft = insertRec(node->pLeft, value);
}
else if (value > node->data)
{
node->pRight = insertRec(node->pRight, value);
}
else
{
// If the value is equal, insert in the right subtree
node->pRight = insertRec(node->pRight, value);
}
// Update balance factor and check for unbalance
updateBalance(node);
// Perform rotations if needed
if (node->balance == LH && value < node->pLeft->data)
{
return rotateRight(node);
}
if (node->balance == RH && value > node->pRight->data)
{
return rotateLeft(node);
}
if (node->balance == LH && value > node->pLeft->data)
{
node->pLeft = rotateLeft(node->pLeft);
return rotateRight(node);
}
if (node->balance == RH && value < node->pRight->data)
{
node->pRight = rotateRight(node->pRight);
return rotateLeft(node);
}
return node;
}
template<class T>
void AVLTree<T>::updateBalance(Node* node)
{
int lh = getHeightRec(node->pLeft);
int rh = getHeightRec(node->pRight);
node->balance = static_cast<BalanceValue>(rh - lh);
}
template<class T>
typename AVLTree<T>::Node* AVLTree<T>::rotateLeft(Node* node)
{
Node* newRoot = node->pRight;
node->pRight = newRoot->pLeft;
newRoot->pLeft = node;
updateBalance(node);
updateBalance(newRoot);
return newRoot;
}
template<class T>
typename AVLTree<T>::Node* AVLTree<T>::rotateRight(Node* node)
{
Node* newRoot = node->pLeft;
node->pLeft = newRoot->pRight;
newRoot->pRight = node;
updateBalance(node);
updateBalance(newRoot);
return newRoot;
}
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Answer for question 2:
//Helping functions
Node* inserthelp (Node* root, const T &value) {
if (root == NULL) return new Node(value);
}
void insert(const T &value){
//TODO
root = inserthelp(&root, value);
}
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Answer for question 2:
//Helping functions
Node* inserthelp (Node* root, const T &value) {
if (root == NULL) return new Node(value);
}
void insert(const T &value){
//TODO
root = inserthelp(root, value);
}
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Answer for question 7:
/// BEGIN STUDENT CODE
======================================
// You may need some helping functions here
string toStringPreOrder() {
stringstream ss;
toStringPreOrder(root, ss);
return ss.str();
}
void toStringPreOrder(Node *currentNode, stringstream &ss) {
if (currentNode) {
// Process the current node
for (int i = 0; i < currentNode->numEntries; ++i) {
ss << currentNode->entries[i].toString() << " ";
}
// Recursively traverse the left subtree
toStringPreOrder(currentNode->firstPtr, ss);
// Recursively traverse the right subtrees
for (int i = 0; i < currentNode->numEntries; ++i) {
toStringPreOrder(currentNode->entries[i].rightPtr, ss);
}
}
}
/// END STUDENT CODE | [
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Answer for question 7:
/// BEGIN STUDENT CODE
======================================
// You may need some helping functions here
string toStringPreOrder() {
}
/// END STUDENT CODE | [
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
if (root == NULL) {
root = new Node(value);
}
}
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Answer for question 2:
//Helping functions
Node* rotateRight(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pLeft;
root->pLeft = newRoot->pRight;
newRoot->pRight = root;
root->balance = EH;
if (newRoot->balance == RH) {
root->balance = LH;
}
newRoot->balance = EH;
return newRoot;
}
Node* rotateLeft(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pRight;
root->pRight = newRoot->pLeft;
newRoot->pLeft = root;
root->balance = EH;
if (newRoot->balance == LH) {
root->balance = RH;
}
newRoot->balance = EH;
return newRoot;
}
void insert(const T &value){
//TODO
this->root = insertRec(this->root, value);
}
Node* insertRec(Node* root, const T& value)
{
// Step 1: Perform standard BST insertion
if (root == NULL)
return new Node(value);
if (value < root->data)
root->pLeft = insertRec(root->pLeft, value);
else if (value > root->data || value == root->data) // Add equal value to the right
root->pRight = insertRec(root->pRight, value);
// Step 2: Update height of the current node
root->balance = getBalance(root);
// Step 3: Get the balance factor of the current node
int balance = root->balance;
// Step 4: Perform rotations if the tree becomes unbalanced
// Left Heavy
if (balance > 1)
{
if (value < root->pLeft->data) // Left of Left unbalanced
return rightRotate(root);
else // Right of Left unbalanced
{
root->pLeft = leftRotate(root->pLeft);
return rightRotate(root);
}
}
// Right Heavy
if (balance < -1)
{
if (value > root->pRight->data) // Right of Right unbalanced
return leftRotate(root);
else // Left of Right unbalanced
{
root->pRight = rightRotate(root->pRight);
return leftRotate(root);
}
}
return root;
}
int getBalance(Node* node)
{
if (node == NULL)
return 0;
return getHeightRec(node->pLeft) - getHeightRec(node->pRight);
}
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
if (root == NULL) return new Node(value);
}
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
if (root == NULL) root = new Node(value);
}
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
//if (root == NULL) root = new Node(value);
root = inserthelp(root, value);
}
Node* inserthelp(Node* node, const T &value) {
if (node == NULL) {
Node* newnode = new Node(value);
return newnode;
}
}
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
//if (root == NULL) root = new Node(value);
root = inserthelp(root, value);
}
Node* inserthelp(Node* node, const T &value) {
if (node == NULL) return new Node(value);
return node;
}
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
//if (root == NULL) root = new Node(value);
root = inserthelp(root, value);
}
Node* inserthelp(Node* root, const T &value) {
if (root == NULL) return new Node(value);
return root;
}
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Answer for question 2:
//Helping functions
Node* rotateRight(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pLeft;
root->pLeft = newRoot->pRight;
newRoot->pRight = root;
root->balance = EH;
if (newRoot->balance == RH) {
root->balance = LH;
}
newRoot->balance = EH;
return newRoot;
}
Node* rotateLeft(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pRight;
root->pRight = newRoot->pLeft;
newRoot->pLeft = root;
root->balance = EH;
if (newRoot->balance == LH) {
root->balance = RH;
}
newRoot->balance = EH;
return newRoot;
}
void insert(const T &value){
//TODO
//if (root == NULL) root = new Node(value);
root = inserthelp(root, value);
}
Node* inserthelp(Node* root, const T &value) {
if (root == NULL) return new Node(value);
return root;
}
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Answer for question 2:
//Helping functions
Node* rotateRight(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pLeft;
root->pLeft = newRoot->pRight;
newRoot->pRight = root;
root->balance = EH;
if (newRoot->balance == RH) {
root->balance = LH;
}
newRoot->balance = EH;
return newRoot;
}
Node* rotateLeft(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pRight;
root->pRight = newRoot->pLeft;
newRoot->pLeft = root;
root->balance = EH;
if (newRoot->balance == LH) {
root->balance = RH;
}
newRoot->balance = EH;
return newRoot;
}
void insert(const T &value){
//TODO
//if (root == NULL) root = new Node(value);
root = inserthelp(root, value);
}
Node* inserthelp(Node* root, const T &value) {
if (root == NULL) return new Node(value);
if (value < root->data) root->pLeft = inserthelp(root->pLeft, value);
else if (value > root->data) root->pRight = inserthelp(root->pRight, value);
//return root;
}
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Answer for question 2:
//Helping functions
Node* rotateRight(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pLeft;
root->pLeft = newRoot->pRight;
newRoot->pRight = root;
root->balance = EH;
if (newRoot->balance == RH) {
root->balance = LH;
}
newRoot->balance = EH;
return newRoot;
}
Node* rotateLeft(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pRight;
root->pRight = newRoot->pLeft;
newRoot->pLeft = root;
root->balance = EH;
if (newRoot->balance == LH) {
root->balance = RH;
}
newRoot->balance = EH;
return newRoot;
}
void insert(const T &value){
//TODO
Node *newNode = new Node(value);
// Perform the normal BST insertion
if (root == NULL)
{
root = newNode;
return;
}
Node *current = root;
Node *parent = NULL;
while (true)
{
parent = current;
if (value < current->data)
{
current = current->pLeft;
if (current == NULL)
{
parent->pLeft = newNode;
break;
}
}
else
{
current = current->pRight;
if (current == NULL)
{
parent->pRight = newNode;
break;
}
}
}
// Update the balance factors
updateBalance(root, value);
// Check for unbalanced nodes and perform rotations
balanceTree(root);
}
void updateBalance(Node *node, const T &value)
{
if (node == NULL)
return;
if (value < node->data)
{
node->balance--;
updateBalance(node->pLeft, value);
}
else if (value > node->data)
{
node->balance++;
updateBalance(node->pRight, value);
}
}
void balanceTree(Node *node)
{
if (node->balance > RH)
{
if (node->pRight->balance < LH)
node->pRight = rotateRight(node->pRight);
node = rotateLeft(node);
}
else if (node->balance < LH)
{
if (node->pLeft->balance > RH)
node->pLeft = rotateLeft(node->pLeft);
node = rotateRight(node);
}
if (node->pLeft != NULL)
balanceTree(node->pLeft);
if (node->pRight != NULL)
balanceTree(node->pRight);
}
/*
Node* inserthelp(Node* root, const T &value) {
if (root == NULL) return new Node(value);
if (value < root->data) root->pLeft = inserthelp(root->pLeft, value);
else if (value > root->data) root->pRight = inserthelp(root->pRight, value);
//return root;
}
*/ | [
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Answer for question 2:
//Helping functions
Node* rotateRight(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pLeft;
root->pLeft = newRoot->pRight;
newRoot->pRight = root;
root->balance = EH;
if (newRoot->balance == RH) {
root->balance = LH;
}
newRoot->balance = EH;
return newRoot;
}
Node* rotateLeft(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pRight;
root->pRight = newRoot->pLeft;
newRoot->pLeft = root;
root->balance = EH;
if (newRoot->balance == LH) {
root->balance = RH;
}
newRoot->balance = EH;
return newRoot;
}
void insert(const T &value){
//TODO
Node *newNode = new Node(value);
// Perform the normal BST insertion
if (root == NULL)
{
root = newNode;
return;
}
Node *current = root;
Node *parent = NULL;
while (true)
{
parent = current;
if (value < current->data)
{
current = current->pLeft;
if (current == NULL)
{
parent->pLeft = newNode;
break;
}
}
else
{
current = current->pRight;
if (current == NULL)
{
parent->pRight = newNode;
break;
}
}
}
// Update the balance factors
updateBalance(root, value);
// Check for unbalanced nodes and perform rotations
balanceTree(root);
}
void updateBalance(Node *node, const T &value)
{
if (node == NULL)
return;
if (value < node->data)
{
node->balance -= 1;
updateBalance(node->pLeft, value);
}
else if (value > node->data)
{
node->balance += 1;
updateBalance(node->pRight, value);
}
}
void balanceTree(Node *node)
{
if (node->balance > RH)
{
if (node->pRight->balance < LH)
node->pRight = rotateRight(node->pRight);
node = rotateLeft(node);
}
else if (node->balance < LH)
{
if (node->pLeft->balance > RH)
node->pLeft = rotateLeft(node->pLeft);
node = rotateRight(node);
}
if (node->pLeft != NULL)
balanceTree(node->pLeft);
if (node->pRight != NULL)
balanceTree(node->pRight);
}
/*
Node* inserthelp(Node* root, const T &value) {
if (root == NULL) return new Node(value);
if (value < root->data) root->pLeft = inserthelp(root->pLeft, value);
else if (value > root->data) root->pRight = inserthelp(root->pRight, value);
//return root;
}
*/ | [
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Answer for question 2:
//Helping functions
Node* rotateRight(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pLeft;
root->pLeft = newRoot->pRight;
newRoot->pRight = root;
root->balance = EH;
if (newRoot->balance == RH) {
root->balance = LH;
}
newRoot->balance = EH;
return newRoot;
}
Node* rotateLeft(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pRight;
root->pRight = newRoot->pLeft;
newRoot->pLeft = root;
root->balance = EH;
if (newRoot->balance == LH) {
root->balance = RH;
}
newRoot->balance = EH;
return newRoot;
}
void insert(const T &value){
//TODO
Node *newNode = new Node(value);
// Perform the normal BST insertion
if (root == NULL)
{
root = newNode;
return;
}
Node *current = root;
Node *parent = NULL;
while (true)
{
parent = current;
if (value < current->data)
{
current = current->pLeft;
if (current == NULL)
{
parent->pLeft = newNode;
break;
}
}
else
{
current = current->pRight;
if (current == NULL)
{
parent->pRight = newNode;
break;
}
}
}
updateBalance(root, value);
balanceTree(root);
}
void updateBalance(Node *node, const T &value)
{
if (node == NULL)
return;
if (value < node->data)
{
updateBalance(node->pLeft, value);
}
else if (value > node->data)
{
updateBalance(node->pRight, value);
}
}
void balanceTree(Node *node)
{
if (node->balance > RH)
{
if (node->pRight->balance < LH)
node->pRight = rotateRight(node->pRight);
node = rotateLeft(node);
}
else if (node->balance < LH)
{
if (node->pLeft->balance > RH)
node->pLeft = rotateLeft(node->pLeft);
node = rotateRight(node);
}
if (node->pLeft != NULL)
balanceTree(node->pLeft);
if (node->pRight != NULL)
balanceTree(node->pRight);
}
/*
Node* inserthelp(Node* root, const T &value) {
if (root == NULL) return new Node(value);
if (value < root->data) root->pLeft = inserthelp(root->pLeft, value);
else if (value > root->data) root->pRight = inserthelp(root->pRight, value);
//return root;
}
*/ | [
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Answer for question 2:
//Helping functions
Node* rotateRight(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pLeft;
root->pLeft = newRoot->pRight;
newRoot->pRight = root;
root->balance = EH;
if (newRoot->balance == RH) {
root->balance = LH;
}
newRoot->balance = EH;
return newRoot;
}
Node* rotateLeft(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pRight;
root->pRight = newRoot->pLeft;
newRoot->pLeft = root;
root->balance = EH;
if (newRoot->balance == LH) {
root->balance = RH;
}
newRoot->balance = EH;
return newRoot;
}
void insert(const T &value){
//TODO
Node *newNode = new Node(value);
if (root == NULL)
{
root = newNode;
return;
}
Node *current = root;
Node *parent = NULL;
while (1)
{
parent = current;
if (value < current->data)
{
current = current->pLeft;
if (current == NULL)
{
parent->pLeft = newNode;
break;
}
}
else
{
current = current->pRight;
if (current == NULL)
{
parent->pRight = newNode;
break;
}
}
}
}
/*
Node* inserthelp(Node* root, const T &value) {
if (root == NULL) return new Node(value);
if (value < root->data) root->pLeft = inserthelp(root->pLeft, value);
else if (value > root->data) root->pRight = inserthelp(root->pRight, value);
//return root;
}
*/ | [
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0.002777099609375,
0.01251220703125
] |
Answer for question 4:
//Helping functions
void remove(const T &value){
//TODO
this->root = this->removeRec(this->root, value);
}
Node* removeRec(Node* node, const T &value)
{
// Perform standard BST delete
if (node == NULL)
return node;
if (value < node->data)
node->pLeft = removeRec(node->pLeft, value);
else if(value > node->data)
node->pRight = removeRec(node->pRight, value);
else
{
// node with only one child or no child
if( (node->pLeft == NULL) || (node->pRight == NULL) )
{
Node *temp = node->pLeft ? node->pLeft : node->pRight;
// No child case
if(temp == NULL)
{
temp = node;
node = NULL;
}
else // One child case
*node = *temp; // Copy the contents of the non-empty child
delete temp;
}
else
{
// node with two children: get the inorder
// successor (smallest in the right subtree)
Node* temp = minValueNode(node->pRight);
// copy the inorder successor's data to this node
node->data = temp->data;
// delete the inorder successor
node->pRight = removeRec(node->pRight, temp->data);
}
}
// if the tree had only one node then return
if (node == NULL)
return node;
// update height of the current node
node->height = 1 + max(height(node->pLeft), height(node->pRight));
// get the balance factor
int balance = getBalance(node);
// if this node becomes unbalanced, then there are 4 cases
// left left case
if (balance > 1 && getBalance(node->pLeft) >= 0)
return rightRotate(node);
// left right case
if (balance > 1 && getBalance(node->pLeft) < 0)
{
node->pLeft = leftRotate(node->pLeft);
return rightRotate(node);
}
// right right case
if (balance < -1 && getBalance(node->pRight) <= 0)
return leftRotate(node);
// right left case
if (balance < -1 && getBalance(node->pRight) > 0)
{
node->pRight = rightRotate(node->pRight);
return leftRotate(node);
}
return node;
} | [
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Answer for question 4:
//Helping functions
void remove(const T &value){
//TODO
} | [
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
}
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Answer for question 2:
//Helping functions
void rotateLeft(Node *&root)
{
Node *tempPtr = root->pRight;
root->pRight = tempPtr->pLeft;
tempPtr->pLeft = root;
root = tempPtr;
}
void rotateRight(Node *&root)
{
Node *tempPtr = root->pLeft;
root->pLeft = tempPtr->pRight;
tempPtr->pRight = root;
root = tempPtr;
}
void insertRec(Node *&root, const T &value, bool &taller)
{
if (root == NULL)
{
root = new Node(value);
taller = true;
}
else if (value >= root->data)
{
insertRec(root->pRight, value, taller);
if (taller)
{
if (root->balance == LH)
{
root->balance = EH;
taller = false;
}
else if (root->balance == EH)
{
root->balance = RH;
}
else
{
rotateLeft(root);
taller = false;
}
}
}
else
{
insertRec(root->pLeft, value, taller);
if (taller)
{
if (root->balance == RH)
{
root->balance = EH;
taller = false;
}
else if (root->balance == EH)
{
root->balance = LH;
}
else
{
rotateRight(root);
taller = false;
}
}
}
}
void insert(const T &value){
//TODO
bool taller = false;
insertRec(this->root, value, taller);
}
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Answer for question 2:
//Helping functions
void rotateLeft(Node *&root)
{
Node *tempPtr = root->pRight;
root->pRight = tempPtr->pLeft;
tempPtr->pLeft = root;
root = tempPtr;
}
void rotateRight(Node *&root)
{
Node *tempPtr = root->pLeft;
root->pLeft = tempPtr->pRight;
tempPtr->pRight = root;
root = tempPtr;
}
void insertRec(Node *&root, const T &value, bool &taller)
{
if (root == NULL)
{
root = new Node(value);
taller = true;
}
else if (value >= root->data)
{
insertRec(root->pRight, value, taller);
if (taller)
{
if (root->balance == RH)
{
root->balance = EH;
taller = false;
}
else if (root->balance == EH)
{
root->balance = LH;
}
else
{
rotateLeft(root);
taller = false;
}
}
}
else
{
insertRec(root->pLeft, value, taller);
if (taller)
{
if (root->balance == LH)
{
root->balance = EH;
taller = false;
}
else if (root->balance == EH)
{
root->balance = RH;
}
else
{
rotateRight(root);
taller = false;
}
}
}
}
void insert(const T &value){
//TODO
bool taller = false;
insertRec(this->root, value, taller);
}
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0.032470703125,
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0.00946044921875,
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] |
Answer for question 2:
//Helping functions
void rotateLeft(Node *&root)
{
Node *tempPtr = root->pRight;
root->pRight = tempPtr->pLeft;
tempPtr->pLeft = root;
root = tempPtr;
}
void rotateRight(Node *&root)
{
Node *tempPtr = root->pLeft;
root->pLeft = tempPtr->pRight;
tempPtr->pRight = root;
root = tempPtr;
}
void insertRec(Node *&root, const T &value, bool &taller)
{
//implement here
if (root == NULL)
{
// Create a new node with the given value
root = new Node(value);
taller = true; // Height of the subtree has increased
}
else if (value < root->data)
{
// Insert in the left subtree
insertRec(root->pLeft, value, taller);
if (taller)
{
// Check the balance factor and perform rotations if needed
if (root->balance == LH)
{
// Case 1: Left of left unbalanced tree
rotateRight(root);
taller = false;
}
else if (root->balance == EH)
{
// Case 2: Balanced tree becomes left-heavy
root->balance = LH;
}
else
{
// Case 3: Right of left unbalanced tree
root->balance = EH;
taller = false;
}
}
}
else if (value > root->data)
{
// Insert in the right subtree
insertRec(root->pRight, value, taller);
if (taller)
{
// Check the balance factor and perform rotations if needed
if (root->balance == LH)
{
// Case 3: Left of right unbalanced tree
root->balance = EH;
taller = false;
}
else if (root->balance == EH)
{
// Case 2: Balanced tree becomes right-heavy
root->balance = RH;
}
else
{
// Case 4: Right of right unbalanced tree
rotateLeft(root);
taller = false;
}
}
}
else
{
// Value already exists in the tree, insert it in the right subtree
insertRec(root->pRight, value, taller);
}
}
void insert(const T &value){
//TODO
bool taller = false;
insertRec(this->root, value, taller);
}
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
}
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Answer for question 1:
Node* rotateRight(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pLeft;
root->pLeft = newRoot->pRight;
newRoot->pRight = root;
/*root->balance = EH;
if (newRoot->balance == RH) {
root->balance = LH;
}
newRoot->balance = EH;*/
return newRoot;
}
Node* rotateLeft(Node* root) {
//TODO: Rotate and return new root after rotate
Node* newRoot = root->pRight;
root->pRight = newRoot->pLeft;
newRoot->pLeft = root;
/*root->balance = EH;
if (newRoot->balance == LH) {
root->balance = RH;
}
newRoot->balance = EH;*/
return newRoot;
}
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
int n = root->getHeight() + 1;
}
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
int n = getHeight() + 1;
}
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
int n = root->getHeight();
}
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
Node* ne = root;
int n = ne->getHeight();
}
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
}
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
if (root == NULL) {
root = new Node(value);
root->balance = 0;
}
}
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
if (root == NULL) {
root = new Node(value);
root->balance = EH;
}
}
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Answer for question 2:
//Helping functions
void rotateLeft(Node *&root)
{
Node *tempPtr = root->pRight;
root->pRight = tempPtr->pLeft;
tempPtr->pLeft = root;
root = tempPtr;
}
void rotateRight(Node *&root)
{
Node *tempPtr = root->pLeft;
root->pLeft = tempPtr->pRight;
tempPtr->pRight = root;
root = tempPtr;
}
void insertRec(Node *&root, const T &value, bool &taller)
{
if (root == NULL)
{
root = new Node(value);
taller = true;
}
else if (value >= root->data)
{
insertRec(root->pRight, value, taller);
if (taller)
{
if (root->balance == LH)
{
root->balance = EH;
taller = false;
}
else if (root->balance == EH)
{
root->balance = RH;
}
else
{
rotateLeft(root);
taller = false;
}
}
}
else
{
insertRec(root->pLeft, value, taller);
if (taller)
{
if (root->balance == RH)
{
root->balance = EH;
taller = false;
}
else if (root->balance == EH)
{
root->balance = LH;
}
else
{
rotateRight(root);
taller = false;
}
}
}
}
void insert(const T &value){
//TODO
bool taller = false;
insertRec(this->root, value, taller);
}
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Answer for question 2:
//Helping functions
void rotateLeft(Node *&root)
{
Node *tempPtr = root->pRight;
root->pRight = tempPtr->pLeft;
tempPtr->pLeft = root;
root = tempPtr;
}
void rotateRight(Node *&root)
{
Node *tempPtr = root->pLeft;
root->pLeft = tempPtr->pRight;
tempPtr->pRight = root;
root = tempPtr;
}
void insertRec(Node *&root, const T &value, bool &taller)
{
if (root == NULL)
{
root = new Node(value);
taller = true;
}
else if (value >= root->data)
{
insertRec(root->pRight, value, taller);
if (taller)
{
if (root->balance == RH)
{
root->balance = EH;
taller = false;
}
else if (root->balance == EH)
{
root->balance = LH;
}
else
{
rotateRight(root);
taller = false;
}
}
}
else
{
insertRec(root->pLeft, value, taller);
if (taller)
{
if (root->balance == LH)
{
root->balance = EH;
taller = false;
}
else if (root->balance == EH)
{
root->balance = RH;
}
else
{
rotateLeft(root);
taller = false;
}
}
}
}
void insert(const T &value){
//TODO
bool taller = false;
insertRec(this->root, value, taller);
}
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Answer for question 2:
//Helping functions
void rotateLeft(Node *&root)
{
Node *tempPtr = root->pRight;
root->pRight = tempPtr->pLeft;
tempPtr->pLeft = root;
root = tempPtr;
}
void rotateRight(Node *&root)
{
Node *tempPtr = root->pLeft;
root->pLeft = tempPtr->pRight;
tempPtr->pRight = root;
root = tempPtr;
}
void insertRec(Node *&root, const T &value, bool &taller)
{
if (root == NULL)
{
root = new Node(value);
taller = true;
}
else if (value >= root->data)
{
insertRec(root->pRight, value, taller);
if (taller)
{
if (root->balance == LH)
{
root->balance = EH;
taller = false;
}
else if (root->balance == EH)
{
root->balance = RH;
}
else
{
rotateRight(root);
taller = false;
}
}
}
else
{
insertRec(root->pLeft, value, taller);
if (taller)
{
if (root->balance == RH)
{
root->balance = EH;
taller = false;
}
else if (root->balance == EH)
{
root->balance = LH;
}
else
{
rotateLeft(root);
taller = false;
}
}
}
}
void insert(const T &value){
//TODO
bool taller = false;
insertRec(this->root, value, taller);
}
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
}
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
if (root == NULL) {
root = new Node(value);
}
}
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Answer for question 2:
//Helping functions
void rotateLeft(Node *&root)
{
Node *tempPtr = root->pRight;
root->pRight = tempPtr->pLeft;
tempPtr->pLeft = root;
root = tempPtr;
}
void rotateRight(Node *&root)
{
Node *tempPtr = root->pLeft;
root->pLeft = tempPtr->pRight;
tempPtr->pRight = root;
root = tempPtr;
}
void insertRec(Node *&root, const T &value, bool &taller)
{
if (root == NULL)
{
root = new Node(value);
taller = true;
}
else if (value >= root->data)
{
insertRec(root->pRight, value, taller);
if (taller)
{
if (root->balance == LH)
{
root->balance = EH;
taller = false;
}
else if (root->balance == EH)
{
root->balance = RH;
}
else
{
rotateLeft(root);
taller = false;
}
}
}
else
{
insertRec(root->pLeft, value, taller);
if (taller)
{
if (root->balance == RH)
{
root->balance = EH;
taller = false;
}
else if (root->balance == EH)
{
root->balance = LH;
}
else
{
rotateRight(root);
taller = false;
}
}
}
}
void insert(const T &value){
//TODO
bool taller = false;
insertRec(this->root, value, taller);
}
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Answer for question 2:
//Helping functions
void rotateLeft(Node *&root)
{
Node *tempPtr = root->pRight;
root->pRight = tempPtr->pLeft;
tempPtr->pLeft = root;
root = tempPtr;
}
void rotateRight(Node *&root)
{
Node *tempPtr = root->pLeft;
root->pLeft = tempPtr->pRight;
tempPtr->pRight = root;
root = tempPtr;
}
void insertRec(Node *&root, const T &value, bool &taller)
{
if (root == NULL)
{
root = new Node(value);
taller = true;
}
else if (value >= root->data)
{
insertRec(root->pRight, value, taller);
/*if (taller)
{
if (root->balance == LH)
{
root->balance = EH;
taller = false;
}
else if (root->balance == EH)
{
root->balance = RH;
}
else
{
rotateLeft(root);
taller = false;
}
}*/
}
else
{
insertRec(root->pLeft, value, taller);
/*if (taller)
{
if (root->balance == RH)
{
root->balance = EH;
taller = false;
}
else if (root->balance == EH)
{
root->balance = LH;
}
else
{
rotateRight(root);
taller = false;
}
}*/
}
}
void insert(const T &value){
//TODO
bool taller = false;
insertRec(this->root, value, taller);
}
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Answer for question 2:
//Helping functions
void rotateLeft(Node *&root)
{
Node *tempPtr = root->pRight;
root->pRight = tempPtr->pLeft;
tempPtr->pLeft = root;
root = tempPtr;
}
void rotateRight(Node *&root)
{
Node *tempPtr = root->pLeft;
root->pLeft = tempPtr->pRight;
tempPtr->pRight = root;
root = tempPtr;
}
void insertRec(Node *&root, const T &value, bool &taller)
{
if (root == NULL)
{
root = new Node(value);
taller = true;
}
else if (value >= root->data)
{
insertRec(root->pRight, value, taller);
if (taller)
{
if (root->balance == LH)
{
root->balance = EH;
taller = false;
}
else if (root->balance == EH)
{
root->balance = RH;
}
else
{
rotateLeft(root);
taller = false;
}
}
}
else
{
insertRec(root->pLeft, value, taller);
/*if (taller)
{
if (root->balance == RH)
{
root->balance = EH;
taller = false;
}
else if (root->balance == EH)
{
root->balance = LH;
}
else
{
rotateRight(root);
taller = false;
}
}*/
}
}
void insert(const T &value){
//TODO
bool taller = false;
insertRec(this->root, value, taller);
}
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Answer for question 2:
//Helping functions
void rotateLeft(Node *&root)
{
Node *tempPtr = root->pRight;
root->pRight = tempPtr->pLeft;
tempPtr->pLeft = root;
root = tempPtr;
}
void rotateRight(Node *&root)
{
Node *tempPtr = root->pLeft;
root->pLeft = tempPtr->pRight;
tempPtr->pRight = root;
root = tempPtr;
}
void insertRec(Node *&root, const T &value, bool &taller)
{
if (root == NULL)
{
root = new Node(value);
taller = true;
}
else if (value >= root->data)
{
insertRec(root->pRight, value, taller);
if (taller)
{
if (root->balance == LH)
{
root->balance = EH;
taller = false;
}
else if (root->balance == EH)
{
root->balance = RH;
}
else
{
rotateLeft(root);
taller = false;
}
}
}
else
{
insertRec(root->pLeft, value, taller);
if (taller)
{
if (root->balance == RH)
{
root->balance = EH;
taller = false;
}
else if (root->balance == EH)
{
root->balance = LH;
}
else
{
rotateRight(root);
taller = false;
}
}
}
}
void insert(const T &value){
//TODO
bool taller = false;
insertRec(this->root, value, taller);
}
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Answer for question 2:
//Helping functions
void insert(const T &value){
//TODO
root = insertRec(root, value);
}
Node* insertRec(Node* node, const T &value)
{
// Perform standard BST insertion
if (node == NULL)
return new Node(value);
if (value < node->data)
node->pLeft = insertRec(node->pLeft, value);
else if (value > node->data)
node->pRight = insertRec(node->pRight, value);
else
node->pRight = insertRec(node->pRight, value); // Add in right subtree if same value as parent
// Update the balance factor of the current node
node->balance = getHeightRec(node->pRight) - getHeightRec(node->pLeft);
// Check if the tree is unbalanced
if (node->balance > 1)
{
if (value > node->pRight->data)
node = rotateLeft(node); // Left of right unbalanced tree
else
node = rotateRightLeft(node); // Right of right unbalanced tree
}
else if (node->balance < -1)
{
if (value < node->pLeft->data)
node = rotateRight(node); // Right of left unbalanced tree
else
node = rotateLeftRight(node); // Left of left unbalanced tree
}
return node;
}
Node* rotateRight(Node* node)
{
Node* newRoot = node->pLeft;
node->pLeft = newRoot->pRight;
newRoot->pRight = node;
node->balance = getHeightRec(node->pRight) - getHeightRec(node->pLeft);
newRoot->balance = getHeightRec(newRoot->pRight) - getHeightRec(newRoot->pLeft);
return newRoot;
}
Node* rotateLeft(Node* node)
{
Node* newRoot = node->pRight;
node->pRight = newRoot->pLeft;
newRoot->pLeft = node;
node->balance = getHeightRec(node->pRight) - getHeightRec(node->pLeft);
newRoot->balance = getHeightRec(newRoot->pRight) - getHeightRec(newRoot->pLeft);
return newRoot;
}
Node* rotateLeftRight(Node* node)
{
node->pLeft = rotateLeft(node->pLeft);
return rotateRight(node);
}
Node* rotateRightLeft(Node* node)
{
node->pRight = rotateRight(node->pRight);
return rotateLeft(node);
}
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Answer for question 2:
//Helping functions
void rotateLeft(Node *&root)
{
Node *tempPtr = root->pRight;
root->pRight = tempPtr->pLeft;
tempPtr->pLeft = root;
root = tempPtr;
}
void rotateRight(Node *&root)
{
Node *tempPtr = root->pLeft;
root->pLeft = tempPtr->pRight;
tempPtr->pRight = root;
root = tempPtr;
}
void insertRec(Node *&root, const T &value, bool &taller)
{
if (root == NULL)
{
root = new Node(value);
taller = true;
}
else if (value >= root->data)
{
insertRec(root->pRight, value, taller);
if (taller)
{
if (root->balance == LH)
{
root->balance = EH;
taller = false;
}
else if (root->balance == EH)
{
root->balance = RH;
}
else
{
rotateLeft(root);
taller = false;
}
}
}
else
{
insertRec(root->pLeft, value, taller);
if (taller)
{
if (root->balance == RH)
{
root->balance = EH;
taller = false;
}
else if (root->balance == EH)
{
root->balance = LH;
}
else
{
rotateRight(root);
taller = false;
}
}
}
}
void insert(const T &value){
//TODO
bool taller = false;
insertRec(this->root, value, taller);
}
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Answer for question 9:
/// BEGIN STUDENT CODE
/// =====================================================
/// Proposal methods from slides
/// Feel free to use them,
/// or delete them and implement your own helping methods
void insertEntry(Node *pNode, int entryIdx, const Entry &newEntry) {
for (int i = pNode->numEntries; i > entryIdx; i--) {
pNode->entries[i] = pNode->entries[i - 1];
}
// Insert the new entry
pNode->entries[entryIdx] = newEntry;
pNode->numEntries++;
}
void splitNode(Node *pNode, int entryIdx, Entry &upEntry) {
int mid = M / 2;
upEntry = pNode->entries[mid];
Node *newNode = new Node();
newNode->numEntries = pNode->numEntries - mid - 1;
for (int i = 0; i < newNode->numEntries; i++) {
newNode->entries[i] = pNode->entries[mid + 1 + i];
}
pNode->numEntries = mid;
upEntry.rightPtr = newNode;
}
int searchNode(Node *nodePtr, K key) {
int index = 0;
while (index < nodePtr->numEntries && key > nodePtr->entries[index].key) {
index++;
}
return index;
}
bool insertNode(Node *&root, const K &key, const D &data, Entry &upEntry) {
int entryIdx = searchNode(nodePtr, key);
if (nodePtr->firstPtr) {
// Recursively insert into child node
bool entryInserted = insertNode(nodePtr->entries[entryIdx].rightPtr, key, data, upEntry);
if (entryInserted) {
// Check if the child node split
if (nodePtr->isFull()) {
splitNode(nodePtr, entryIdx, upEntry);
return true;
} else {
// Insert the upEntry into the current node
insertEntry(nodePtr, entryIdx, upEntry);
return false;
}
}
} else {
// Insert the entry into the leaf node
insertEntry(nodePtr, entryIdx, Entry(key, data));
if (nodePtr->isFull()) {
// If the leaf node is full, split it
splitNode(nodePtr, entryIdx, upEntry);
return true;
}
}
return false;
}
void insert(Node *&root, const K &key, const D &data) {
Entry upEntry;
// Insert into the tree
bool entryInserted = insertNode(root, key, data, upEntry);
if (entryInserted) {
// If the root was split, create a new root
Node *newRoot = new Node();
newRoot->entries[0] = upEntry;
newRoot->firstPtr = root;
newRoot->numEntries = 1;
root = newRoot;
}
}
/// TODO: Implement following method
void insert(const K &key, const D &data) {
Entry newEntry(key, data);
Entry upEntry;
if (!root) {
// If the tree is empty, create a new root with the entry
root = new Node();
root->entries[0] = newEntry;
root->numEntries = 1;
} else {
// Insert into the tree
bool entryInserted = insertNode(root, key, data, upEntry);
if (entryInserted) {
// If the root was split, create a new root
Node *newRoot = new Node();
newRoot->entries[0] = upEntry;
newRoot->firstPtr = root;
newRoot->numEntries = 1;
root = newRoot;
}
}
}
/// END STUDENT CODE | [
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Answer for question 9:
/// BEGIN STUDENT CODE
/// =====================================================
/// Proposal methods from slides
/// Feel free to use them,
/// or delete them and implement your own helping methods
void insertEntry(Node *pNode, int entryIdx, const Entry &newEntry) {
for (int i = pNode->numEntries; i > entryIdx; i--) {
pNode->entries[i] = pNode->entries[i - 1];
}
// Insert the new entry
pNode->entries[entryIdx] = newEntry;
pNode->numEntries++;
}
void splitNode(Node *pNode, int entryIdx, Entry &upEntry) {
int mid = M / 2;
upEntry = pNode->entries[mid];
Node *newNode = new Node();
newNode->numEntries = pNode->numEntries - mid - 1;
for (int i = 0; i < newNode->numEntries; i++) {
newNode->entries[i] = pNode->entries[mid + 1 + i];
}
pNode->numEntries = mid;
upEntry.rightPtr = newNode;
}
int searchNode(Node *nodePtr, K key) {
int index = 0;
while (index < nodePtr->numEntries && key > nodePtr->entries[index].key) {
index++;
}
return index;
}
bool insertNode(Node *&root, const K &key, const D &data, Entry &upEntry) {
Node* nodePtr = root;
int entryIdx = searchNode(nodePtr, key);
if (nodePtr->firstPtr) {
// Recursively insert into child node
bool entryInserted = insertNode(nodePtr->entries[entryIdx].rightPtr, key, data, upEntry);
if (entryInserted) {
// Check if the child node split
if (nodePtr->isFull()) {
splitNode(nodePtr, entryIdx, upEntry);
return true;
} else {
// Insert the upEntry into the current node
insertEntry(nodePtr, entryIdx, upEntry);
return false;
}
}
} else {
// Insert the entry into the leaf node
insertEntry(nodePtr, entryIdx, Entry(key, data));
if (nodePtr->isFull()) {
// If the leaf node is full, split it
splitNode(nodePtr, entryIdx, upEntry);
return true;
}
}
return false;
}
void insert(Node *&root, const K &key, const D &data) {
Entry upEntry;
// Insert into the tree
bool entryInserted = insertNode(root, key, data, upEntry);
if (entryInserted) {
// If the root was split, create a new root
Node *newRoot = new Node();
newRoot->entries[0] = upEntry;
newRoot->firstPtr = root;
newRoot->numEntries = 1;
root = newRoot;
}
}
/// TODO: Implement following method
void insert(const K &key, const D &data) {
Entry newEntry(key, data);
Entry upEntry;
if (!root) {
// If the tree is empty, create a new root with the entry
root = new Node();
root->entries[0] = newEntry;
root->numEntries = 1;
} else {
// Insert into the tree
bool entryInserted = insertNode(root, key, data, upEntry);
if (entryInserted) {
// If the root was split, create a new root
Node *newRoot = new Node();
newRoot->entries[0] = upEntry;
newRoot->firstPtr = root;
newRoot->numEntries = 1;
root = newRoot;
}
}
}
/// END STUDENT CODE | [
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Answer for question 9:
/// BEGIN STUDENT CODE
/// =====================================================
/// Proposal methods from slides
/// Feel free to use them,
/// or delete them and implement your own helping methods
void insertEntry(Node *pNode, int entryIdx, const Entry &newEntry) {
for (int i = pNode->numEntries; i > entryIdx; i--) {
pNode->entries[i] = pNode->entries[i - 1];
}
pNode->entries[entryIdx] = newEntry;
pNode->numEntries++;
}
void splitNode(Node *pNode, int entryIdx, Entry &upEntry) {
int mid = M / 2;
upEntry = pNode->entries[mid];
Node *newNode = new Node();
newNode->numEntries = pNode->numEntries - mid - 1;
for (int i = 0; i < newNode->numEntries; i++) {
newNode->entries[i] = pNode->entries[mid + 1 + i];
}
pNode->numEntries = mid;
upEntry.rightPtr = newNode;
}
int searchNode(Node *nodePtr, K key) {
int index = 0;
while (index < nodePtr->numEntries && key > nodePtr->entries[index].key) {
index++;
}
return index;
}
bool insertNode(Node *&root, const K &key, const D &data, Entry &upEntry) {
Node* nodePtr = root;
int entryIdx = searchNode(nodePtr, key);
if (nodePtr->firstPtr) {
bool entryInserted = insertNode(nodePtr->entries[entryIdx].rightPtr, key, data, upEntry);
if (entryInserted) {
if (nodePtr->isFull()) {
splitNode(nodePtr, entryIdx, upEntry);
return true;
} else {
insertEntry(nodePtr, entryIdx, upEntry);
return false;
}
}
} else {
insertEntry(nodePtr, entryIdx, Entry(key, data));
if (nodePtr->isFull) {
splitNode(nodePtr, entryIdx, upEntry);
return true;
}
}
return false;
}
void insert(Node *&root, const K &key, const D &data) {
Entry upEntry;
bool entryInserted = insertNode(root, key, data, upEntry);
if (entryInserted) {
Node *newRoot = new Node();
newRoot->entries[0] = upEntry;
newRoot->firstPtr = root;
newRoot->numEntries = 1;
root = newRoot;
}
}
/// TODO: Implement following method
void insert(const K &key, const D &data) {
Entry newEntry(key, data);
Entry upEntry;
if (!root) {
root = new Node();
root->entries[0] = newEntry;
root->numEntries = 1;
} else {
bool entryInserted = insertNode(root, key, data, upEntry);
if (entryInserted) {
Node *newRoot = new Node();
newRoot->entries[0] = upEntry;
newRoot->firstPtr = root;
newRoot->numEntries = 1;
root = newRoot;
}
}
}
/// END STUDENT CODE | [
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Answer for question 9:
/// BEGIN STUDENT CODE
/// =====================================================
/// Proposal methods from slides
/// Feel free to use them,
/// or delete them and implement your own helping methods
void insertEntry(Node *pNode, int entryIdx, const Entry &newEntry) {
for (int i = pNode->numEntries; i > entryIdx; i--) {
pNode->entries[i] = pNode->entries[i - 1];
}
pNode->entries[entryIdx] = newEntry;
pNode->numEntries++;
}
void splitNode(Node *pNode, int entryIdx, Entry &upEntry) {
int mid = M / 2;
upEntry = pNode->entries[mid];
Node *newNode = new Node();
newNode->numEntries = pNode->numEntries - mid - 1;
for (int i = 0; i < newNode->numEntries; i++) {
newNode->entries[i] = pNode->entries[mid + 1 + i];
}
pNode->numEntries = mid;
upEntry.rightPtr = newNode;
}
int searchNode(Node *nodePtr, K key) {
int index = 0;
while (index < nodePtr->numEntries && key > nodePtr->entries[index].key) {
index++;
}
return index;
}
bool insertNode(Node *&root, const K &key, const D &data, Entry &upEntry) {
Node* nodePtr = root;
int entryIdx = searchNode(nodePtr, key);
if (nodePtr->firstPtr) {
bool entryInserted = insertNode(nodePtr->entries[entryIdx].rightPtr, key, data, upEntry);
if (entryInserted) {
if (nodePtr->isFull()) {
splitNode(nodePtr, entryIdx, upEntry);
return true;
} else {
insertEntry(nodePtr, entryIdx, upEntry);
return false;
}
}
} else {
insertEntry(nodePtr, entryIdx, Entry(key, data));
if (nodePtr->isFull()) {
splitNode(nodePtr, entryIdx, upEntry);
return true;
}
}
return false;
}
void insert(Node *&root, const K &key, const D &data) {
Entry upEntry;
bool entryInserted = insertNode(root, key, data, upEntry);
if (entryInserted) {
Node *newRoot = new Node();
newRoot->entries[0] = upEntry;
newRoot->firstPtr = root;
newRoot->numEntries = 1;
root = newRoot;
}
}
/// TODO: Implement following method
void insert(const K &key, const D &data) {
Entry newEntry(key, data);
Entry upEntry;
if (!root) {
root = new Node();
root->entries[0] = newEntry;
root->numEntries = 1;
} else {
bool entryInserted = insertNode(root, key, data, upEntry);
if (entryInserted) {
Node *newRoot = new Node();
newRoot->entries[0] = upEntry;
newRoot->firstPtr = root;
newRoot->numEntries = 1;
root = newRoot;
}
}
}
/// END STUDENT CODE | [
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Answer for question 7:
/// BEGIN STUDENT CODE
======================================
// You may need some helping functions here
string toStringPreOrder() {
stringstream ss;
toStringPreOrder(root, ss);
return ss.str();
}
void toStringPreOrder(Node *node, stringstream &ss) {
if (node) {
// Print the current node
ss << node->toString() << " ";
// Recursively traverse the left and right subtrees
for (int i = 0; i <= node->numEntries; i++) {
toStringPreOrder(node->entries[i].rightPtr, ss);
if (i < node->numEntries) {
ss << node->entries[i].toString() << " ";
}
}
}
}
/// END STUDENT CODE | [
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Answer for question 7:
/// BEGIN STUDENT CODE
======================================
// You may need some helping functions here
string toStringPreOrder() {
stringstream ss;
toStringPreOrder(root, ss);
return ss.str();
}
void toStringPreOrder(Node *node, stringstream &ss) {
if (node) {
ss << node->toString() << " ";
for (int i = 0; i <= node->numEntries; i++) {
toStringPreOrder(node->entries[i].rightPtr, ss);
if (i < node->numEntries) {
ss << node->entries[i].toString() << " ";
}
}
}
}
/// END STUDENT CODE | [
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Answer for question 4:
//Helping functions
void remove(const T &value){
//TODO
root = remove(root, value);
}
Node* remove(Node* root, const T& value)
{
if (root == nullptr)
return root;
if (value < root->data)
root->pLeft = remove(root->pLeft, value);
else if (value > root->data)
root->pRight = remove(root->pRight, value);
else
{
// Node with only one child or no child
if (root->pLeft == nullptr || root->pRight == nullptr)
{
Node* temp = root->pLeft ? root->pLeft : root->pRight;
// No child case
if (temp == nullptr)
{
temp = root;
root = nullptr;
}
else // One child case
*root = *temp; // Copy the contents of the non-empty child
delete temp;
}
else
{
// Node with two children, get the in-order successor
Node* temp = findMin(root->pRight);
// Copy the in-order successor's data to this node
root->data = temp->data;
// Delete the in-order successor
root->pRight = remove(root->pRight, temp->data);
}
}
if (root == nullptr)
return root;
// Update height and balance factor
updateHeightAndBalance(root);
// Check the balance factor and perform rotations if needed
return balanceNode(root);
}
Node* findMin(Node* root)
{
while (root->pLeft != nullptr)
root = root->pLeft;
return root;
}
void updateHeightAndBalance(Node* root)
{
int lh = getHeight(root->pLeft);
int rh = getHeight(root->pRight);
root->balance = static_cast<BalanceValue>(rh - lh);
}
Node* balanceNode(Node* root)
{
if (root->balance == BalanceValue::LH)
{
if (getHeight(root->pLeft->pLeft) >= getHeight(root->pLeft->pRight))
return rotateRight(root);
else
return rotateLeftRight(root);
}
else if (root->balance == BalanceValue::RH)
{
if (getHeight(root->pRight->pRight) >= getHeight(root->pRight->pLeft))
return rotateLeft(root);
else
return rotateRightLeft(root);
}
return root; // No rotation needed
}
Node* rotateLeft(Node* root)
{
Node* newRoot = root->pRight;
root->pRight = newRoot->pLeft;
newRoot->pLeft = root;
// Update height and balance factor
updateHeightAndBalance(root);
updateHeightAndBalance(newRoot);
return newRoot;
}
Node* rotateRight(Node* root)
{
Node* newRoot = root->pLeft;
root->pLeft = newRoot->pRight;
newRoot->pRight = root;
// Update height and balance factor
updateHeightAndBalance(root);
updateHeightAndBalance(newRoot);
return newRoot;
}
Node* rotateLeftRight(Node* root)
{
root->pLeft = rotateLeft(root->pLeft);
return rotateRight(root);
}
Node* rotateRightLeft(Node* root)
{
root->pRight = rotateRight(root->pRight);
return rotateLeft(root);
} | [
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Answer for question 4:
//Helping functions
void remove(const T &value){
//TODO
root = remove(root, value);
}
Node* remove(Node* root, const T& value)
{
if (root == nullptr)
return root;
if (value < root->data)
root->pLeft = remove(root->pLeft, value);
else if (value > root->data)
root->pRight = remove(root->pRight, value);
else
{
if (root->pLeft == nullptr || root->pRight == nullptr)
{
Node* temp = root->pLeft ? root->pLeft : root->pRight;
if (temp == nullptr)
{
temp = root;
root = nullptr;
}
else
*root = *temp;
delete temp;
}
else
{
Node* temp = findMin(root->pRight);
root->data = temp->data;
root->pRight = remove(root->pRight, temp->data);
}
}
if (root == nullptr)
return root;
}
Node* findMin(Node* root)
{
while (root->pLeft != nullptr)
root = root->pLeft;
return root;
}
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Answer for question 4:
//Helping functions
void remove(const T &value){
//TODO
root = remove(root, value);
}
Node* remove(Node* root, const T& value)
{
if (root == nullptr)
return root;
if (value < root->data)
root->pLeft = remove(root->pLeft, value);
else if (value > root->data)
root->pRight = remove(root->pRight, value);
else
{
if (root->pLeft == nullptr || root->pRight == nullptr)
{
Node* temp = root->pLeft ? root->pLeft : root->pRight;
if (temp == nullptr)
{
temp = root;
root = nullptr;
}
else
*root = *temp;
delete temp;
}
else
{
Node* temp = findMin(root->pRight);
root->data = temp->data;
root->pRight = remove(root->pRight, temp->data);
}
}
//if (root == nullptr)
return root;
}
Node* findMin(Node* root)
{
while (root->pLeft != nullptr)
root = root->pLeft;
return root;
}
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Answer for question 1:
template<class T>
int Heap<T>::size(){
return count;
}
template<class T>
bool Heap<T>::isEmpty(){
return count == 0;
}
template<class T>
T Heap<T>::peek(){
}
template<class T>
bool Heap<T>::contains(T item){
}
template<class T>
bool Heap<T>::pop(){
} | [
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