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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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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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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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