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Answer for question 4:
string minDiffPairs(int* arr, int n){
// STUDENT ANSWER
sort(arr, arr + n);
int min_diff = INT8_MAX;
for (int i = 0; i < n - 1; i++) {
min_diff = min(min_diff, arr[i + 1] - arr[i]);
}
stringstream ss;
for (int i = 0; i < n - 1; i++) {
if (arr[i + 1] - arr[i] == min_diff) {
ss << "(" << arr[i] << ", " << arr[i + 1] << ") ";
}
}
return ss.str();
} | [
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Answer for question 4:
string minDiffPairs(int* arr, int n){
// STUDENT ANSWER
sort(arr, arr + n);
int min_diff = INT8_MAX;
for (int i = 0; i < n - 1; i++) {
min_diff = min(min_diff, arr[i + 1] - arr[i]);
}
stringstream ss;
for (int i = 0; i < n - 1; i++) {
if (arr[i + 1] - arr[i] == min_diff) {
ss << " (" << arr[i] << ", " << arr[i + 1] << "),";
}
}
ss.str().erase(0, 1);
ss.str.erase(ss.str().length()-1, 1);
return ss.str();
} | [
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Answer for question 4:
string minDiffPairs(int* arr, int n){
// STUDENT ANSWER
sort(arr, arr + n);
int min_diff = INT8_MAX;
for (int i = 0; i < n - 1; i++) {
min_diff = min(min_diff, arr[i + 1] - arr[i]);
}
stringstream ss;
for (int i = 0; i < n - 1; i++) {
if (arr[i + 1] - arr[i] == min_diff) {
ss << " (" << arr[i] << ", " << arr[i + 1] << "),";
}
}
ss.str().erase(0, 1);
ss.str().erase(ss.str().length()-1, 1);
return ss.str();
} | [
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Answer for question 4:
string minDiffPairs(int* arr, int n){
// STUDENT ANSWER
sort(arr, arr + n);
int min_diff = INT8_MAX;
for (int i = 0; i < n - 1; i++) {
min_diff = min(min_diff, arr[i + 1] - arr[i]);
}
stringstream ss;
for (int i = 0; i < n - 1; i++) {
if (arr[i + 1] - arr[i] == min_diff) {
ss << " (" << arr[i] << ", " << arr[i + 1] << "),";
}
}
return ss.str();
} | [
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Answer for question 4:
string minDiffPairs(int* arr, int n){
// STUDENT ANSWER
sort(arr, arr + n);
int min_diff = INT8_MAX;
for (int i = 0; i < n - 1; i++) {
min_diff = min(min_diff, arr[i + 1] - arr[i]);
}
stringstream ss;
for (int i = 0; i < n - 1; i++) {
if (arr[i + 1] - arr[i] == min_diff) {
ss << " (" << arr[i] << ", " << arr[i + 1] << "),";
}
}
ss.str().erase(0, 1);
return ss.str();
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Answer for question 4:
string minDiffPairs(int* arr, int n){
// STUDENT ANSWER
sort(arr, arr + n);
int min_diff = INT8_MAX;
for (int i = 0; i < n - 1; i++) {
min_diff = min(min_diff, arr[i + 1] - arr[i]);
}
stringstream ss;
for (int i = 0; i < n - 1; i++) {
if (arr[i + 1] - arr[i] == min_diff) {
ss << "(" << arr[i] << ", " << arr[i + 1] << ")";
}
}
return ss.str();
} | [
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Answer for question 5:
void countFreq(int arr[], int freq[], int n) {
for (int i = 0; i < n; i++) {
freq[i] = 0;
int j;
for (j = 0; j < n; j++) {
if (arr[j] == arr[i])
freq[i]++;
}
}
}
// Comparison function to sort by frequency
bool comp(int a, int b, int freq[]) {
if (freq[a] != freq[b])
return freq[a] > freq[b];
else
return a < b;
}
void sortByFrequency(int arr[], int n) {
int freq[n];
countFreq(arr, freq, n);
stable_sort(arr, arr + n, &{ return comp(a, b, freq); });
}
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Answer for question 6:
// STUDENT ANSWER BEGIN
// You can define other functions here to help you.
void BFS()
{
if (root == nullptr)
return;
// Create a queue for BFS
queue<Node*> q;
// Enqueue root and initialize height
q.push(root);
while (q.empty() == false) {
// Print front of queue and remove it from queue
Node* node = q.front();
cout << node->key << " ";
q.pop();
/* Enqueue left child */
if (node->pLeft != nullptr)
q.push(node->pLeft);
/*Enqueue right child */
if (node->pRight != nullptr)
q.push(node->pRight);
}
}
// STUDENT ANSWER END | [
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Answer for question 7:
void longestPathSumHelper(BTNode* node, int sum, int len, int& maxLen, int& maxSum) {
if (node == NULL) {
if (maxLen < len) {
maxLen = len;
maxSum = sum;
} else if (maxLen == len && maxSum < sum) {
maxSum = sum;
}
return;
}
// Recurse for left and right subtrees
longestPathSumHelper(node->left, sum + node->val, len + 1, maxLen, maxSum);
longestPathSumHelper(node->right, sum + node->val, len + 1, maxLen, maxSum);
}
// Function to calculate the longest path sum in the binary tree
int longestPathSum(BTNode* root) {
if (root == NULL)
return 0;
int maxSum = INT_MIN, maxLen = 0;
longestPathSumHelper(root, 0, 0, maxLen, maxSum);
return maxSum;
} | [
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] |
Answer for question 8:
const int MOD = 27022001;
long long sum = 0;
void dfs(BTNode* node, long long num) {
if (node == NULL) return;
num = ((num * 10) + node->val) % MOD;
if (node->left == NULL && node->right == NULL) {
sum = (sum + num) % MOD;
return;
}
dfs(node->left, num);
dfs(node->right, num);
}
int sumDigitPath(BTNode* root) {
dfs(root, 0);
return sum;
} | [
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Answer for question 9:
int getHeightHelper(Node* node) {
if (node == NULL)
return 0;
else
return 1 + max(getHeightHelper(node->pLeft), getHeightHelper(node->pRight));
}
int getHeight() {
// Call the helper function starting from the root
return getHeightHelper(root);
}
// Helper functions for tree traversals
void preOrderHelper(Node* node, stringstream& ss) {
if (node != NULL) {
ss << node->value << " ";
preOrderHelper(node->pLeft, ss);
preOrderHelper(node->pRight, ss);
}
}
string preOrder() {
stringstream ss;
preOrderHelper(root, ss);
return ss.str();
}
void inOrderHelper(Node* node, stringstream& ss) {
if (node != NULL) {
inOrderHelper(node->pLeft, ss);
ss << node->value << " ";
inOrderHelper(node->pRight, ss);
}
}
string inOrder() {
stringstream ss;
inOrderHelper(root, ss);
return ss.str();
}
void postOrderHelper(Node* node, stringstream& ss) {
if (node != NULL) {
postOrderHelper(node->pLeft, ss);
postOrderHelper(node->pRight, ss);
ss << node->value << " ";
}
}
string postOrder() {
stringstream ss;
postOrderHelper(root, ss);
return ss.str();
} | [
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Answer for question 10:
//Helping functions
int sumOfLeafsHelper(Node* node){
// base case: if the node is null, return 0
if (node == nullptr) return 0;
// check if the node is a leaf node
if (node->pLeft == nullptr && node->pRight == nullptr){
return node->value; // return the value of the node
}
// otherwise, recursively call the function on the left and right subtrees and add their results
return sumOfLeafsHelper(node->pLeft) + sumOfLeafsHelper(node->pRight);
}
int sumOfLeafs(){
//TODO
return sumOfLeafsHelper(root);
} | [
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Answer for question 7:
void longestPathSumHelper(BTNode* node, int sum, int len, int& maxLen, int& maxSum) {
if (node == nullptr) {
if (maxLen < len) {
maxLen = len;
maxSum = sum;
} else if (maxLen == len) {
maxSum = std::max(maxSum, sum);
}
return;
}
longestPathSumHelper(node->left, sum + node->val, len + 1, maxLen, maxSum);
longestPathSumHelper(node->right, sum + node->val, len + 1, maxLen, maxSum);
}
int longestPathSum(BTNode* root) {
if (root == nullptr) {
return 0;
}
int maxLen = 0;
int maxSum = 0;
longestPathSumHelper(root, 0, 0, maxLen, maxSum);
return maxSum;
} | [
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] |
Answer for question 6:
// STUDENT ANSWER BEGIN
// You can define other functions here to help you.
void BFS()
{
if (root == nullptr)
return;
queue<Node*> q;
q.push(root);
while (!q.empty())
{
Node* node = q.front();
q.pop();
cout << node->key << " ";
if (node->pLeft != nullptr)
q.push(node->pLeft);
if (node->pRight != nullptr)
q.push(node->pRight);
}
} | [
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] |
Answer for question 11:
//Helping functions
void add(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->value){
current = current->pLeft;
}
else if(value > current->value){
current = current->pRight;
}
else{
return;
}
}
if(value < parent->value){
parent->pLeft = newNode;
}
else{
parent->pRight = newNode;
}
}
void deleteNode(T value){
//TODO
Node* current = root;
Node* parent = nullptr;
while(current != nullptr && current->value != value){
parent = current;
if(value < current->value){
current = current->pLeft;
}
else{
current = current->pRight;
}
}
if(current == nullptr){
return;
}
if(current->pLeft == nullptr && current->pRight == nullptr){
if(current == root){
root = nullptr;
}
else{
if(parent->pLeft == current){
parent->pLeft = nullptr;
}
else{
parent->pRight = nullptr;
}
}
delete current;
return;
} | [
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Answer for question 11:
//Helping functions
void add(T value){
//TODO
}
void deleteNode(T value){
//TODO
} | [
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Answer for question 12:
int kthSmallest(BSTNode* root, int k) {
// STUDENT ANSWER
int rank=0;
return inorder(root, k, rank);
}
int inorder(BSTNode* node, int k, int& rank) {
// Base case: if the node is null, return -1
if (node == nullptr) {
return -1;
}
// Recursively traverse the left subtree
int left = inorder(node->left, k, rank);
// If the left subtree has the k-th smallest value, return it[^1^][1]
if (left != -1) {
return left;
}
// Increment the rank by 1
rank++;
// If the rank is equal to k, return the value of the current node
if (rank == k) {
return node->val;
}
// Recursively traverse the right subtree
int right = inorder(node->right, k, rank);
// If the right subtree has the k-th smallest value, return it[^1^][1]
if (right != -1) {
return right;
}
// Otherwise, return -1
return -1;
} | [
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Answer for question 12:
int inorder(BSTNode* node, int k, int& rank) {
// Base case: if the node is null, return -1
if (node == nullptr) {
return -1;
}
// Recursively traverse the left subtree
int left = inorder(node->left, k, rank);
// If the left subtree has the k-th smallest value, return it[^1^][1]
if (left != -1) {
return left;
}
// Increment the rank by 1
rank++;
// If the rank is equal to k, return the value of the current node
if (rank == k) {
return node->val;
}
// Recursively traverse the right subtree
int right = inorder(node->right, k, rank);
// If the right subtree has the k-th smallest value, return it[^1^][1]
if (right != -1) {
return right;
}
// Otherwise, return -1
return -1;
}
int kthSmallest(BSTNode* root, int k) {
// STUDENT ANSWER
int rank=0;
return inorder(root, k, rank);
}
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Answer for question 13:
int singleChild(BSTNode* root) {
// STUDENT
if (root == nullptr || (root->left == nullptr && root->right == nullptr)) {
return 0;
}
int leftCount = singleChild(root->left);
int rightCount = singleChild(root->right);
int selfCount = 0;
if (root->left == nullptr || root->right == nullptr) {
selfCount = 1;
}
return leftCount + rightCount + selfCount;
} | [
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Answer for question 14:
// STUDENT ANSWER BEGIN
// You can define other functions here to help you.
bool find(Node* root, T i) {
if (root == NULL)
return false;
if (root->value == i)
return true;
if (root->value < i)
return find(root->pRight, i);
return find(root->pLeft, i);
}
T sum(Node* root, T l, T r) {
if (root == NULL)
return 0;
if (root->value < l)
return sum(root->pRight, l, r);
if (root->value > r)
return sum(root->pLeft, l, r);
return root->value + sum(root->pLeft, l, r) + sum(root->pRight, l, r);
}
bool find(T i) {
// TODO: return true if value i is in the tree; otherwise, return false.
return find(root, i);
}
T sum(T l, T r) {
// TODO: return the sum of all element in the tree has value in range [l,r].
return sum(root, l, r);
}
// 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.
Node* current = root;
while (current && current->pLeft != NULL) {
current = current->pLeft;
}
return current->value;
}
T getMax() {
//TODO: return the maximum values of nodes in the tree.
Node* current = root;
while (current && current->pRight != NULL) {
current = current->pRight;
}
return current->value;
}
// STUDENT ANSWER END | [
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Answer for question 2:
static void merge(T* start, T* middle, T* end) {
// TODO
int n1 = middle - start;
int n2 = end - middle;
T* L = new T[n1];
T* R = new T[n2];
for (int i = 0; i < n1; i++)
L[i] = start[i];
for (int j = 0; j < n2; j++)
R[j] = middle[j];
int i = 0, j = 0, k = 0;
while (i < n1 && j < n2) {
if (L[i] <= R[j])
start[k++] = L[i++];
else
start[k++] = R[j++];
}
while (i < n1)
start[k++] = L[i++];
while (j < n2)
start[k++] = R[j++];
delete[] L;
delete[] R;
}
static void InsertionSort(T* start, T* end) {
// TODO
for (T* i = start + 1; i != end; ++i) {
T key = *i;
T* j = i - 1;
while (j >= start && *j > key) {
*(j + 1) = *j;
--j;
}
*(j + 1) = key;
}
}
static void TimSort(T* start, T* end, int min_size) {
// TODO
// You must print out the array after using insertion sort and everytime calling method merge.
for (T* i = start; i < end; i += min_size) {
InsertionSort(i, min((T*)(i + min_size), end));
printArray(start, end);
}
for (int size = min_size; size < end - start; size *= 2) {
for (T* left_start = start; left_start < end; left_start += 2 * size) {
T* mid_point = min((T*)(left_start + size), end);
T* right_end = min((T*)(left_start + 2 * size), end);
merge(left_start, mid_point, right_end);
printArray(start, end);
}
}
} | [
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Answer for question 5:
int countFrequency(int arr[], int n, int element) {
return count(arr, arr + n, element);
}
void sortByFrequency(int arr[], int n) {
stable_sort(arr, arr + n, arr, n {
int countA = countFrequency(arr, n, a);
int countB = countFrequency(arr, n, b);
return countA > countB;
});
} | [
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Answer for question 1:
Node* rotateRight(Node* root) {
//TODO: Rotate and return new root after rotate
Node* x=root->left;
Node* y=x->right;
x->right=root;
root->left=y;
return x;
}
Node* rotateLeft(Node* root) {
//TODO: Rotate and return new root after rotate
Node* x=root->right;
Node* y=x->left;
x->left=root;
root->right=y;
return x;
} | [
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Answer for question 1:
Node* rotateRight(Node* root) {
//TODO: Rotate and return new root after rotate
Node* x=root->pLeft;
Node* y=x->pRight;
x->pRight=root;
root->pLeft=y;
return x;
}
Node* rotateLeft(Node* root) {
//TODO: Rotate and return new root after rotate
Node* x=root->pRight;
Node* y=x->pLeft;
x->pLeft=root;
root->pRight=y;
return x;
} | [
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Answer for question 2:
//Helping functions
Node* node(Node* root,const T value){
if((value>root->data && root->right==NULL) || (value<root->data && root->left==NULL)) return root;
if(value>root->data) return node(root->right, value);
else return node(root->left, value)
}
Node* leftRotate(Node* root){
Node* x=root->pRight;
Node* y=x->pLeft;
x->pLeft=root;
root->pRight=y;
return x;
}
Node* rightRotate(Node* root){
Node* x=root->pLeft;
Node* y=x->pRight;
x->pRight=root;
root->pLeft=y;
return x;
}
void insert(const T &value){
//TODO
Node* temp=node(root, value);
if(value>temp->data) temp->pRight=new Node(value);
else temp->pLeft=new Node(value);
int x=getHeightRec(root->pLeft) - getHeightRec(root->pRight);
if(x>=1 && value<root->pLeft->data) root=rightRotate(root);
else if(x>=1 && value>root->pLeft->data) {
root->pLeft=leftRotate(root->pLeft);
root=rightRotate(root);
}
else if(x<=-1 && value>root->pRight->data) {
root=leftRotate(root);
}
else if(x<=-1 && value<root->pRight->data){
root->pRight=rightRotate(root->pRight);
root=leftRotate(root);
}
}
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Answer for question 2:
//Helping functions
Node* node(Node* root,const T value){
if((value>root->data && root->pRight==NULL) || (value<root->data && root->pLeft==NULL)) return root;
if(value>root->data) return node(root->pRight, value);
else return node(root->pLeft, value);
}
Node* leftRotate(Node* root){
Node* x=root->pRight;
Node* y=x->pLeft;
x->pLeft=root;
root->pRight=y;
return x;
}
Node* rightRotate(Node* root){
Node* x=root->pLeft;
Node* y=x->pRight;
x->pRight=root;
root->pLeft=y;
return x;
}
void insert(const T &value){
//TODO
Node* temp=node(root, value);
if(value>temp->data) temp->pRight=new Node(value);
else temp->pLeft=new Node(value);
int x=getHeightRec(root->pLeft) - getHeightRec(root->pRight);
if(x>=1 && value<root->pLeft->data) root=rightRotate(root);
else if(x>=1 && value>root->pLeft->data) {
root->pLeft=leftRotate(root->pLeft);
root=rightRotate(root);
}
else if(x<=-1 && value>root->pRight->data) {
root=leftRotate(root);
}
else if(x<=-1 && value<root->pRight->data){
root->pRight=rightRotate(root->pRight);
root=leftRotate(root);
}
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* root){
return getHeightRec(root->pRight)-getHeightRec(root->pLeft);
}
Node* leftRotate(Node* root){
Node* x=root->pRight;
Node* y=x->pLeft;
x->pLeft=root;
root->pRight=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
Node* rightRotate(Node* root){
Node* x=root->pLeft;
Node* y=x->pRight;
x->pRight=root;
root->pLeft=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
void insertion(Node* root, const T value){
if(root==NULL) {root=new Node(value); return;}
else if(value<root->data) insertion(root->pLeft, value);
else if(value>root->data) insertion(root->pRight, value);
else return;
}
void fix(Node* root, const T value){
if(root==NULL) return;
else if(root->balance==-1 && value<root->pLeft->data){
root=rightRotate(root);
return;
}
else if(root->balance==-1 && value>root->pLeft->data){
root->pLeft=leftRotate(root->pLeft);
root=rightRotate(root);
return;
}
else if(root->balance==1 && value>root->pRight->data){
root=leftRotate(root);
return;
}
esle if(root->balance==-1 && value<root->pLeft->data){
root->pRight=rightRotate(root->pRight);
root=leftRotate(root);
return;
}
fix(root->pLeft);
fix(root->pRight);
}
void insert(const T &value){
//TODO
insertion(root, value);
fix(root, value);
}
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Answer for question 2:
//Helping functions
int getBalance(Node* root){
return getHeightRec(root->pRight)-getHeightRec(root->pLeft);
}
Node* leftRotate(Node* root){
Node* x=root->pRight;
Node* y=x->pLeft;
x->pLeft=root;
root->pRight=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
Node* rightRotate(Node* root){
Node* x=root->pLeft;
Node* y=x->pRight;
x->pRight=root;
root->pLeft=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
void insertion(Node* root, const T value){
if(root==NULL) {root=new Node(value); return;}
else if(value<root->data) insertion(root->pLeft, value);
else if(value>root->data) insertion(root->pRight, value);
else return;
}
void fix(Node* root, const T value){
if(root==NULL) return;
else if(root->balance==-1 && value<root->pLeft->data){
root=rightRotate(root);
return;
}
else if(root->balance==-1 && value>root->pLeft->data){
root->pLeft=leftRotate(root->pLeft);
root=rightRotate(root);
return;
}
else if(root->balance==1 && value>root->pRight->data){
root=leftRotate(root);
return;
}
esle if(root->balance==-1 && value<root->pLeft->data){
root->pRight=rightRotate(root->pRight);
root=leftRotate(root);
return;
}
fix(root->pLeft, value);
fix(root->pRight, value);
}
void insert(const T &value){
//TODO
insertion(root, value);
fix(root, value);
}
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] |
Answer for question 2:
//Helping functions
int getBalance(Node* root){
return getHeightRec(root->pRight)-getHeightRec(root->pLeft);
}
Node* leftRotate(Node* root){
Node* x=root->pRight;
Node* y=x->pLeft;
x->pLeft=root;
root->pRight=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
Node* rightRotate(Node* root){
Node* x=root->pLeft;
Node* y=x->pRight;
x->pRight=root;
root->pLeft=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
void insertion(Node* root, const T value){
if(root==NULL) {root=new Node(value); return;}
else if(value<root->data) insertion(root->pLeft, value);
else if(value>root->data) insertion(root->pRight, value);
else return;
}
void fix(Node* root, const T value){
if(root==NULL) return;
else if(root->balance==-1 && value<root->pLeft->data){
root=rightRotate(root);
return;
}
else if(root->balance==-1 && value>root->pLeft->data){
root->pLeft=leftRotate(root->pLeft);
root=rightRotate(root);
return;
}
else if(root->balance==1 && value>root->pRight->data){
root=leftRotate(root);
return;
}
else if(root->balance==1 && value<root->pLeft->data){
root->pRight=rightRotate(root->pRight);
root=leftRotate(root);
return;
}
fix(root->pLeft, value);
fix(root->pRight, value);
}
void insert(const T &value){
//TODO
insertion(root, value);
fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* root){
int x=getHeightRec(root->pRight)-getHeightRec(root->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* root){
Node* x=root->pRight;
Node* y=x->pLeft;
x->pLeft=root;
root->pRight=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
Node* rightRotate(Node* root){
Node* x=root->pLeft;
Node* y=x->pRight;
x->pRight=root;
root->pLeft=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
void insertion(Node* root, const T value){
if(root==NULL) {root=new Node(value); return;}
else if(value<root->data) insertion(root->pLeft, value);
else if(value>root->data) insertion(root->pRight, value);
else return;
}
void fix(Node* root, const T value){
if(root==NULL) return;
else if(root->balance==-1 && value<root->pLeft->data){
root=rightRotate(root);
return;
}
else if(root->balance==-1 && value>root->pLeft->data){
root->pLeft=leftRotate(root->pLeft);
root=rightRotate(root);
return;
}
else if(root->balance==1 && value>root->pRight->data){
root=leftRotate(root);
return;
}
else if(root->balance==1 && value<root->pLeft->data){
root->pRight=rightRotate(root->pRight);
root=leftRotate(root);
return;
}
fix(root->pLeft, value);
fix(root->pRight, value);
}
void insert(const T &value){
//TODO
insertion(root, value);
fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* root){
int x=getHeightRec(root->pRight)-getHeightRec(root->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* root){
Node* x=root->pRight;
Node* y=x->pLeft;
x->pLeft=root;
root->pRight=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
Node* rightRotate(Node* root){
Node* x=root->pLeft;
Node* y=x->pRight;
x->pRight=root;
root->pLeft=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
void insertion(Node* root, const T value){
if(root==NULL) {root=new Node(value); return;}
else if(value<root->data) insertion(root->pLeft, value);
else if(value>root->data) insertion(root->pRight, value);
else return;
}
// void fix(Node* root, const T value){
// if(root==NULL) return;
// else if(root->balance==-1 && value<root->pLeft->data){
// root=rightRotate(root);
// return;
// }
// else if(root->balance==-1 && value>root->pLeft->data){
// root->pLeft=leftRotate(root->pLeft);
// root=rightRotate(root);
// return;
// }
// else if(root->balance==1 && value>root->pRight->data){
// root=leftRotate(root);
// return;
// }
// else if(root->balance==1 && value<root->pLeft->data){
// root->pRight=rightRotate(root->pRight);
// root=leftRotate(root);
// return;
// }
// fix(root->pLeft, value);
// fix(root->pRight, value);
// }
void insert(const T &value){
//TODO
insertion(root, value);
// fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* root){
int x=getHeightRec(root->pRight)-getHeightRec(root->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* root){
Node* x=root->pRight;
Node* y=x->pLeft;
x->pLeft=root;
root->pRight=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
Node* rightRotate(Node* root){
Node* x=root->pLeft;
Node* y=x->pRight;
x->pRight=root;
root->pLeft=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
void insertion(Node* root, const T value){
if(root==NULL) {root=new Node(value); return;}
else if(value<root->data) insertion(root->pLeft, value);
else if(value>root->data) insertion(root->pRight, value);
else return;
}
// void fix(Node* root, const T value){
// if(root==NULL) return;
// else if(root->balance==-1 && value<root->pLeft->data){
// root=rightRotate(root);
// return;
// }
// else if(root->balance==-1 && value>root->pLeft->data){
// root->pLeft=leftRotate(root->pLeft);
// root=rightRotate(root);
// return;
// }
// else if(root->balance==1 && value>root->pRight->data){
// root=leftRotate(root);
// return;
// }
// else if(root->balance==1 && value<root->pLeft->data){
// root->pRight=rightRotate(root->pRight);
// root=leftRotate(root);
// return;
// }
// fix(root->pLeft, value);
// fix(root->pRight, value);
// }
void insert(this->root, const T &value){
//TODO
// insertion(root, value);
// fix(root, value);
if(root==NULL) {root=new Node(value); return;}
else if(value<root->data) insert(root->pLeft, value);
else if(value>root->data) insert(root->pRight, value);
else return;
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* root){
int x=getHeightRec(root->pRight)-getHeightRec(root->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* root){
Node* x=root->pRight;
Node* y=x->pLeft;
x->pLeft=root;
root->pRight=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
Node* rightRotate(Node* root){
Node* x=root->pLeft;
Node* y=x->pRight;
x->pRight=root;
root->pLeft=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
void insertion(Node* root, const T value){
if(root==NULL) {root=new Node(value); return;}
else if(value<root->data) insertion(root->pLeft, value);
else if(value>root->data) insertion(root->pRight, value);
else return;
}
// void fix(Node* root, const T value){
// if(root==NULL) return;
// else if(root->balance==-1 && value<root->pLeft->data){
// root=rightRotate(root);
// return;
// }
// else if(root->balance==-1 && value>root->pLeft->data){
// root->pLeft=leftRotate(root->pLeft);
// root=rightRotate(root);
// return;
// }
// else if(root->balance==1 && value>root->pRight->data){
// root=leftRotate(root);
// return;
// }
// else if(root->balance==1 && value<root->pLeft->data){
// root->pRight=rightRotate(root->pRight);
// root=leftRotate(root);
// return;
// }
// fix(root->pLeft, value);
// fix(root->pRight, value);
// }
void insert(Node* current=root, const T &value){
//TODO
// insertion(root, value);
// fix(root, value);
if(root==NULL) {root=new Node(value); return;}
else if(value<root->data) insert(current->pLeft, value);
else if(value>root->data) insert(current->pRight, value);
else return;
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* root){
int x=getHeightRec(root->pRight)-getHeightRec(root->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* root){
Node* x=root->pRight;
Node* y=x->pLeft;
x->pLeft=root;
root->pRight=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
Node* rightRotate(Node* root){
Node* x=root->pLeft;
Node* y=x->pRight;
x->pRight=root;
root->pLeft=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
void insertion(Node* root, const T value){
if(root==NULL) {root=new Node(value); return;}
else if(value<root->data) insertion(root->pLeft, value);
else if(value>root->data) insertion(root->pRight, value);
else return;
}
// void fix(Node* root, const T value){
// if(root==NULL) return;
// else if(root->balance==-1 && value<root->pLeft->data){
// root=rightRotate(root);
// return;
// }
// else if(root->balance==-1 && value>root->pLeft->data){
// root->pLeft=leftRotate(root->pLeft);
// root=rightRotate(root);
// return;
// }
// else if(root->balance==1 && value>root->pRight->data){
// root=leftRotate(root);
// return;
// }
// else if(root->balance==1 && value<root->pLeft->data){
// root->pRight=rightRotate(root->pRight);
// root=leftRotate(root);
// return;
// }
// fix(root->pLeft, value);
// fix(root->pRight, value);
// }
void insert(const T &value, Node* current=root){
//TODO
// insertion(root, value);
// fix(root, value);
if(current==NULL) {root=new Node(value); return;}
else if(value<current->data) insert(value, current->pLeft);
else if(value>current->data) insert(value, current->pRight);
else return;
}
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] |
Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* root){
int x=getHeightRec(root->pRight)-getHeightRec(root->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* root){
Node* x=root->pRight;
Node* y=x->pLeft;
x->pLeft=root;
root->pRight=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
Node* rightRotate(Node* root){
Node* x=root->pLeft;
Node* y=x->pRight;
x->pRight=root;
root->pLeft=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
void insertion(Node* root, const T value){
if(root==NULL) {root=new Node(value); return;}
else if(value<root->data) insertion(root->pLeft, value);
else if(value>root->data) insertion(root->pRight, value);
else return;
}
void fix(Node* root, const T value){
if(root==NULL) return;
else if(root->balance==-1 && value<root->pLeft->data){
root=rightRotate(root);
return;
}
else if(root->balance==-1 && value>root->pLeft->data){
root->pLeft=leftRotate(root->pLeft);
root=rightRotate(root);
return;
}
else if(root->balance==1 && value>root->pRight->data){
root=leftRotate(root);
return;
}
else if(root->balance==1 && value<root->pLeft->data){
root->pRight=rightRotate(root->pRight);
root=leftRotate(root);
return;
}
fix(root->pLeft, value);
fix(root->pRight, value);
}
void insert(const T &value){
//TODO
insertion(root, value);
fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* root){
int x=getHeightRec(root->pRight)-getHeightRec(root->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* root){
Node* x=root->pRight;
Node* y=x->pLeft;
x->pLeft=root;
root->pRight=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
Node* rightRotate(Node* root){
Node* x=root->pLeft;
Node* y=x->pRight;
x->pRight=root;
root->pLeft=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
void insertion(Node* root, const T value){
if(root==NULL) {root=new Node(value); return;}
else if(value<root->data) insertion(root->pLeft, value);
else if(value>root->data) insertion(root->pRight, value);
else return;
}
void fix(Node* root, const T value){
if(root==NULL) return;
else if(root->balance==-1 && value<root->pLeft->data){
root=rightRotate(root);
return;
}
else if(root->balance==-1 && value>root->pLeft->data){
root->pLeft=leftRotate(root->pLeft);
root=rightRotate(root);
return;
}
else if(root->balance==1 && value>root->pRight->data){
root=leftRotate(root);
return;
}
else if(root->balance==1 && value<root->pLeft->data){
root->pRight=rightRotate(root->pRight);
root=leftRotate(root);
return;
}
fix(root->pLeft, value);
fix(root->pRight, value);
}
void insert(const T &value){
//TODO
insertion(root, value);
//fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* root){
int x=getHeightRec(root->pRight)-getHeightRec(root->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* root){
Node* x=root->pRight;
Node* y=x->pLeft;
x->pLeft=root;
root->pRight=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
Node* rightRotate(Node* root){
Node* x=root->pLeft;
Node* y=x->pRight;
x->pRight=root;
root->pLeft=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
void insertion(Node** root, const T value){
if(*root==NULL) {*root=new Node(value); return;}
else if(value<(*root)->data) insertion((*root)->pLeft, value);
else if(value>(*root)->data) insertion((*root)->pRight, value);
else return;
}
void fix(Node* root, const T value){
if(root==NULL) return;
else if(root->balance==-1 && value<root->pLeft->data){
root=rightRotate(root);
return;
}
else if(root->balance==-1 && value>root->pLeft->data){
root->pLeft=leftRotate(root->pLeft);
root=rightRotate(root);
return;
}
else if(root->balance==1 && value>root->pRight->data){
root=leftRotate(root);
return;
}
else if(root->balance==1 && value<root->pLeft->data){
root->pRight=rightRotate(root->pRight);
root=leftRotate(root);
return;
}
fix(root->pLeft, value);
fix(root->pRight, value);
}
void insert(const T &value){
//TODO
insertion(&root, value);
//fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* root){
int x=getHeightRec(root->pRight)-getHeightRec(root->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* root){
Node* x=root->pRight;
Node* y=x->pLeft;
x->pLeft=root;
root->pRight=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
Node* rightRotate(Node* root){
Node* x=root->pLeft;
Node* y=x->pRight;
x->pRight=root;
root->pLeft=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
void insertion(Node** root, const T value){
if(*root==NULL) {*root=new Node(value); return;}
else if(value<(*root)->data) insertion(&(root->pLeft), value);
else if(value>(*root)->data) insertion(&(root->pRight), value);
else return;
}
void fix(Node* root, const T value){
if(root==NULL) return;
else if(root->balance==-1 && value<root->pLeft->data){
root=rightRotate(root);
return;
}
else if(root->balance==-1 && value>root->pLeft->data){
root->pLeft=leftRotate(root->pLeft);
root=rightRotate(root);
return;
}
else if(root->balance==1 && value>root->pRight->data){
root=leftRotate(root);
return;
}
else if(root->balance==1 && value<root->pLeft->data){
root->pRight=rightRotate(root->pRight);
root=leftRotate(root);
return;
}
fix(root->pLeft, value);
fix(root->pRight, value);
}
void insert(const T &value){
//TODO
insertion(&root, value);
//fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* root){
int x=getHeightRec(root->pRight)-getHeightRec(root->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* root){
Node* x=root->pRight;
Node* y=x->pLeft;
x->pLeft=root;
root->pRight=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
Node* rightRotate(Node* root){
Node* x=root->pLeft;
Node* y=x->pRight;
x->pRight=root;
root->pLeft=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
void insertion(Node** root, const T value){
if(*root==NULL) {*root=new Node(value); return;}
else if(value<(*root)->data) insertion(root->pLeft, value);
else if(value>(*root)->data) insertion(root->pRight, value);
else return;
}
void fix(Node* root, const T value){
if(root==NULL) return;
else if(root->balance==-1 && value<root->pLeft->data){
root=rightRotate(root);
return;
}
else if(root->balance==-1 && value>root->pLeft->data){
root->pLeft=leftRotate(root->pLeft);
root=rightRotate(root);
return;
}
else if(root->balance==1 && value>root->pRight->data){
root=leftRotate(root);
return;
}
else if(root->balance==1 && value<root->pLeft->data){
root->pRight=rightRotate(root->pRight);
root=leftRotate(root);
return;
}
fix(root->pLeft, value);
fix(root->pRight, value);
}
void insert(const T &value){
//TODO
insertion(&root, value);
//fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* root){
int x=getHeightRec(root->pRight)-getHeightRec(root->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* root){
Node* x=root->pRight;
Node* y=x->pLeft;
x->pLeft=root;
root->pRight=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
Node* rightRotate(Node* root){
Node* x=root->pLeft;
Node* y=x->pRight;
x->pRight=root;
root->pLeft=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
void insertion(Node** root, const T value){
if(*root==NULL) {*root=new Node(value); return;}
else if(value<(*root)->data) insertion((*root)->pLeft, value);
else if(value>(*root)->data) insertion((*root)->pRight, value);
else return;
}
void fix(Node* root, const T value){
if(root==NULL) return;
else if(root->balance==-1 && value<root->pLeft->data){
root=rightRotate(root);
return;
}
else if(root->balance==-1 && value>root->pLeft->data){
root->pLeft=leftRotate(root->pLeft);
root=rightRotate(root);
return;
}
else if(root->balance==1 && value>root->pRight->data){
root=leftRotate(root);
return;
}
else if(root->balance==1 && value<root->pLeft->data){
root->pRight=rightRotate(root->pRight);
root=leftRotate(root);
return;
}
fix(root->pLeft, value);
fix(root->pRight, value);
}
void insert(const T &value){
//TODO
insertion(&root, value);
//fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* root){
int x=getHeightRec(root->pRight)-getHeightRec(root->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* root){
Node* x=root->pRight;
Node* y=x->pLeft;
x->pLeft=root;
root->pRight=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
Node* rightRotate(Node* root){
Node* x=root->pLeft;
Node* y=x->pRight;
x->pRight=root;
root->pLeft=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
void insertion(Node *root, const T value){
if(root==NULL) {root=new Node(value); return;}
else if(value<root->data) insertion(root->pLeft, value);
else if(value>root->data) insertion(root->pRight, value);
else return;
}
void fix(Node* root, const T value){
if(root==NULL) return;
else if(root->balance==-1 && value<root->pLeft->data){
root=rightRotate(root);
return;
}
else if(root->balance==-1 && value>root->pLeft->data){
root->pLeft=leftRotate(root->pLeft);
root=rightRotate(root);
return;
}
else if(root->balance==1 && value>root->pRight->data){
root=leftRotate(root);
return;
}
else if(root->balance==1 && value<root->pLeft->data){
root->pRight=rightRotate(root->pRight);
root=leftRotate(root);
return;
}
fix(root->pLeft, value);
fix(root->pRight, value);
}
void insert(const T &value){
//TODO
insertion(root, value);
//fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* root){
int x=getHeightRec(root->pRight)-getHeightRec(root->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* root){
Node* x=root->pRight;
Node* y=x->pLeft;
x->pLeft=root;
root->pRight=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
Node* rightRotate(Node* root){
Node* x=root->pLeft;
Node* y=x->pRight;
x->pRight=root;
root->pLeft=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
void insertion(Node *root, const T value){
if(root==NULL) {root=new Node(value); return;}
else if(value<root->data) insertion(root->pLeft, value);
else if(value>root->data) insertion(root->pRight, value);
else return;
}
void fix(Node* root, const T value){
if(root==NULL) return;
else if(root->balance==-1 && value<root->pLeft->data){
root=rightRotate(root);
return;
}
else if(root->balance==-1 && value>root->pLeft->data){
root->pLeft=leftRotate(root->pLeft);
root=rightRotate(root);
return;
}
else if(root->balance==1 && value>root->pRight->data){
root=leftRotate(root);
return;
}
else if(root->balance==1 && value<root->pLeft->data){
root->pRight=rightRotate(root->pRight);
root=leftRotate(root);
return;
}
fix(root->pLeft, value);
fix(root->pRight, value);
}
void insert(const T &value){
//TODO
insertion(root, value);
fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* root){
int x=getHeightRec(root->pRight)-getHeightRec(root->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* root){
Node* x=root->pRight;
Node* y=x->pLeft;
x->pLeft=root;
root->pRight=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
Node* rightRotate(Node* root){
Node* x=root->pLeft;
Node* y=x->pRight;
x->pRight=root;
root->pLeft=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
void insertion(Node* &root, const T value){
if(root==NULL) {root=new Node(value); return;}
else if(value<root->data) insertion(root->pLeft, value);
else if(value>root->data) insertion(root->pRight, value);
else return;
}
void fix(Node* root, const T value){
if(root==NULL) return;
else if(root->balance==-1 && value<root->pLeft->data){
root=rightRotate(root);
return;
}
else if(root->balance==-1 && value>root->pLeft->data){
root->pLeft=leftRotate(root->pLeft);
root=rightRotate(root);
return;
}
else if(root->balance==1 && value>root->pRight->data){
root=leftRotate(root);
return;
}
else if(root->balance==1 && value<root->pLeft->data){
root->pRight=rightRotate(root->pRight);
root=leftRotate(root);
return;
}
fix(root->pLeft, value);
fix(root->pRight, value);
}
void insert(const T &value){
//TODO
insertion(root, value);
fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* root){
int x=getHeightRec(root->pRight)-getHeightRec(root->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* root){
Node* x=root->pRight;
Node* y=x->pLeft;
x->pLeft=root;
root->pRight=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
Node* rightRotate(Node* root){
Node* x=root->pLeft;
Node* y=x->pRight;
x->pRight=root;
root->pLeft=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
void insertion(Node* &root, const T value){
if(root==NULL) {root=new Node(value); return;}
else if(value<root->data) insertion(root->pLeft, value);
else if(value>root->data) insertion(root->pRight, value);
else return;
}
void fix(Node* &root, const T value){
if(root==NULL) return;
else if(root->balance==-1 && value<root->pLeft->data){
root=rightRotate(root);
return;
}
else if(root->balance==-1 && value>root->pLeft->data){
root->pLeft=leftRotate(root->pLeft);
root=rightRotate(root);
return;
}
else if(root->balance==1 && value>root->pRight->data){
root=leftRotate(root);
return;
}
else if(root->balance==1 && value<root->pLeft->data){
root->pRight=rightRotate(root->pRight);
root=leftRotate(root);
return;
}
fix(root->pLeft, value);
fix(root->pRight, value);
}
void insert(const T &value){
//TODO
insertion(root, value);
fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* root){
int x=getHeightRec(root->pRight)-getHeightRec(root->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* root){
Node* x=root->pRight;
Node* y=x->pLeft;
x->pLeft=root;
root->pRight=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
Node* rightRotate(Node* root){
Node* x=root->pLeft;
Node* y=x->pRight;
x->pRight=root;
root->pLeft=y;
x->balance=getBalance(x);
root->balance=getBalance(root);
return x;
}
void insertion(Node* &root, const T value){
if(root==NULL) {root=new Node(value); return;}
else if(value<root->data) insertion(root->pLeft, value);
else if(value>root->data) insertion(root->pRight, value);
else return;
if(root->balance==-1 && value<root->pLeft->data){
root=rightRotate(root);
return;
}
else if(root->balance==-1 && value>root->pLeft->data){
root->pLeft=leftRotate(root->pLeft);
root=rightRotate(root);
return;
}
else if(root->balance==1 && value>root->pRight->data){
root=leftRotate(root);
return;
}
else if(root->balance==1 && value<root->pLeft->data){
root->pRight=rightRotate(root->pRight);
root=leftRotate(root);
return;
}
}
void fix(Node* &root, const T value){
if(root==NULL) return;
else if(root->balance==-1 && value<root->pLeft->data){
root=rightRotate(root);
return;
}
else if(root->balance==-1 && value>root->pLeft->data){
root->pLeft=leftRotate(root->pLeft);
root=rightRotate(root);
return;
}
else if(root->balance==1 && value>root->pRight->data){
root=leftRotate(root);
return;
}
else if(root->balance==1 && value<root->pLeft->data){
root->pRight=rightRotate(root->pRight);
root=leftRotate(root);
return;
}
fix(root->pLeft, value);
fix(root->pRight, value);
}
void insert(const T &value){
//TODO
insertion(root, value);
//fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
void insertion(Node* &node, const T value){
if(node==NULL) {node=new Node(value); return;}
else if(value<node->data) insertion(node->pLeft, value);
else if(value>node->data) insertion(node->pRight, value);
else return;
if(node->balance==-1 && value<node->pLeft->data){
node=rightRotate(node);
return;
}
else if(node->balance==-1 && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
node=rightRotate(node);
return;
}
else if(node->balance==1 && value>node->pRight->data){
node=leftRotate(node);
return;
}
else if(node->balance==1 && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
node=leftRotate(node);
return;
}
}
void fix(Node* &root, const T value){
if(root==NULL) return;
else if(root->balance==-1 && value<root->pLeft->data){
root=rightRotate(root);
return;
}
else if(root->balance==-1 && value>root->pLeft->data){
root->pLeft=leftRotate(root->pLeft);
root=rightRotate(root);
return;
}
else if(root->balance==1 && value>root->pRight->data){
root=leftRotate(root);
return;
}
else if(root->balance==1 && value<root->pLeft->data){
root->pRight=rightRotate(root->pRight);
root=leftRotate(root);
return;
}
fix(root->pLeft, value);
fix(root->pRight, value);
}
void insert(const T &value){
//TODO
insertion(root, value);
//fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
void insertion(Node* &node, const T value){
if(node==NULL) {node=new Node(value); return;}
else if(value<node->data) insertion(node->pLeft, value);
else if(value>node->data) insertion(node->pRight, value);
else return;
if(node->balance==-1 && value<node->pLeft->data){
node=rightRotate(node);
return;
}
else if(node->balance==-1 && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
node=rightRotate(node);
return;
}
else if(node->balance==1 && value>node->pRight->data){
node=leftRotate(node);
return;
}
else if(node->balance==1 && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
node=leftRotate(node);
return;
}
}
void fix(Node* &node, const T value){
if(node==NULL) return;
if(node->balance<=-1 && value<node->pLeft->data){
node=rightRotate(node);
return;
}
else if(node->balance<=-1 && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
node=rightRotate(node);
return;
}
else if(node->balance>=1 && value>node->pRight->data){
node=leftRotate(node);
return;
}
else if(node->balance>=1 && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
node=leftRotate(node);
return;
}
fix(node->pLeft, value);
fix(node->pRight, value);
}
void insert(const T &value){
//TODO
insertion(root, value);
fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
void insertion(Node* &node, const T value){
if(node==NULL) {node=new Node(value);}
else if(value<node->data) insertion(node->pLeft, value);
else if(value>node->data) insertion(node->pRight, value);
else return;
if(node->balance==-1 && value<node->pLeft->data){
node=rightRotate(node);
return;
}
else if(node->balance==-1 && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
node=rightRotate(node);
return;
}
else if(node->balance==1 && value>node->pRight->data){
node=leftRotate(node);
return;
}
else if(node->balance==1 && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
node=leftRotate(node);
return;
}
}
void fix(Node* &node, const T value){
if(node==NULL) return;
if(node->balance<=-1 && value<node->pLeft->data){
node=rightRotate(node);
return;
}
else if(node->balance<=-1 && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
node=rightRotate(node);
return;
}
else if(node->balance>=1 && value>node->pRight->data){
node=leftRotate(node);
return;
}
else if(node->balance>=1 && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
node=leftRotate(node);
return;
}
fix(node->pLeft, value);
fix(node->pRight, value);
}
void insert(const T &value){
//TODO
insertion(root, value);
fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
void insertion(Node* &node, const T value){
if(node==NULL) {node=new Node(value);}
else if(value<node->data) insertion(node->pLeft, value);
else if(value>node->data) insertion(node->pRight, value);
else return;
if(node->balance==-1 && value<node->pLeft->data){
node=rightRotate(node);
return;
}
else if(node->balance==-1 && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
node=rightRotate(node);
return;
}
else if(node->balance==1 && value>node->pRight->data){
node=leftRotate(node);
return;
}
else if(node->balance==1 && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
node=leftRotate(node);
return;
}
}
void fix(Node* &node, const T value){
if(node==NULL) return;
if(node->balance<=-1 && value<node->pLeft->data){
node=rightRotate(node);
return;
}
else if(node->balance<=-1 && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
node=rightRotate(node);
return;
}
else if(node->balance>=1 && value>node->pRight->data){
node=leftRotate(node);
return;
}
else if(node->balance>=1 && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
node=leftRotate(node);
return;
}
fix(node->pLeft, value);
fix(node->pRight, value);
}
void insert(const T &value){
//TODO
insertion(root, value);
//fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* &node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* &node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
void insertion(Node* &node, const T value){
if(node==NULL) {node=new Node(value);}
else if(value<node->data) insertion(node->pLeft, value);
else if(value>node->data) insertion(node->pRight, value);
else return;
if(node->balance==-1 && value<node->pLeft->data){
node=rightRotate(node);
return;
}
else if(node->balance==-1 && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
node=rightRotate(node);
return;
}
else if(node->balance==1 && value>node->pRight->data){
node=leftRotate(node);
return;
}
else if(node->balance==1 && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
node=leftRotate(node);
return;
}
}
void fix(Node* &node, const T value){
if(node==NULL) return;
if(node->balance<=-1 && value<node->pLeft->data){
node=rightRotate(node);
return;
}
else if(node->balance<=-1 && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
node=rightRotate(node);
return;
}
else if(node->balance>=1 && value>node->pRight->data){
node=leftRotate(node);
return;
}
else if(node->balance>=1 && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
node=leftRotate(node);
return;
}
fix(node->pLeft, value);
fix(node->pRight, value);
}
void insert(const T &value){
//TODO
insertion(root, value);
//fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
void insertion(Node* &node, const T value){
if(node==NULL) {node=new Node(value);}
else if(value<node->data) insertion(node->pLeft, value);
else if(value>node->data) insertion(node->pRight, value);
else return;
if(node->balance==LH && value<node->pLeft->data){
node=rightRotate(node);
return;
}
else if(node->balance==LH && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
node=rightRotate(node);
return;
}
else if(node->balance==RH && value>node->pRight->data){
node=leftRotate(node);
return;
}
else if(node->balance==RH && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
node=leftRotate(node);
return;
}
}
void fix(Node* &node, const T value){
if(node==NULL) return;
if(node->balance<=-1 && value<node->pLeft->data){
node=rightRotate(node);
return;
}
else if(node->balance<=-1 && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
node=rightRotate(node);
return;
}
else if(node->balance>=1 && value>node->pRight->data){
node=leftRotate(node);
return;
}
else if(node->balance>=1 && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
node=leftRotate(node);
return;
}
fix(node->pLeft, value);
fix(node->pRight, value);
}
void insert(const T &value){
//TODO
insertion(root, value);
//fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* &node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* &node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
void insertion(Node* &node, const T value){
if(node==NULL) {node=new Node(value);}
else if(value<node->data) insertion(node->pLeft, value);
else if(value>node->data) insertion(node->pRight, value);
else return;
if(node->balance==LH && value<node->pLeft->data){
node=rightRotate(node);
return;
}
else if(node->balance==LH && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
node=rightRotate(node);
return;
}
else if(node->balance==RH && value>node->pRight->data){
node=leftRotate(node);
return;
}
else if(node->balance==RH && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
node=leftRotate(node);
return;
}
}
void fix(Node* &node, const T value){
if(node==NULL) return;
if(node->balance<=-1 && value<node->pLeft->data){
node=rightRotate(node);
return;
}
else if(node->balance<=-1 && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
node=rightRotate(node);
return;
}
else if(node->balance>=1 && value>node->pRight->data){
node=leftRotate(node);
return;
}
else if(node->balance>=1 && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
node=leftRotate(node);
return;
}
fix(node->pLeft, value);
fix(node->pRight, value);
}
void insert(const T &value){
//TODO
insertion(root, value);
//fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* &node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* &node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
void insertion(Node* &node, const T value){
if(node==NULL) {node=new Node(value);}
else if(value<node->data) insertion(node->pLeft, value);
else if(value>node->data) insertion(node->pRight, value);
else return;
if(node->balance==LH && value<node->pLeft->data){
rightRotate(node);
return;
}
else if(node->balance==LH && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
rightRotate(node);
return;
}
else if(node->balance==RH && value>node->pRight->data){
node=leftRotate(node);
return;
}
else if(node->balance==RH && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
leftRotate(node);
return;
}
}
void fix(Node* &node, const T value){
if(node==NULL) return;
if(node->balance<=-1 && value<node->pLeft->data){
node=rightRotate(node);
return;
}
else if(node->balance<=-1 && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
node=rightRotate(node);
return;
}
else if(node->balance>=1 && value>node->pRight->data){
node=leftRotate(node);
return;
}
else if(node->balance>=1 && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
node=leftRotate(node);
return;
}
fix(node->pLeft, value);
fix(node->pRight, value);
}
void insert(const T &value){
//TODO
insertion(root, value);
//fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* &node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* &node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
void insertion(Node* &node, const T value){
if(node==NULL) {node=new Node(value);}
else if(value<node->data) insertion(node->pLeft, value);
else if(value>node->data) insertion(node->pRight, value);
else return;
if(node->balance==LH && value<node->pLeft->data){
node=rightRotate(node);
return;
}
else if(node->balance==LH && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
node=rightRotate(node);
return;
}
else if(node->balance==RH && value>node->pRight->data){
node=leftRotate(node);
return;
}
else if(node->balance==RH && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
node=leftRotate(node);
return;
}
}
void fix(Node* &node, const T value){
if(node==NULL) return;
if(node->balance<=-1 && value<node->pLeft->data){
node=rightRotate(node);
return;
}
else if(node->balance<=-1 && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
node=rightRotate(node);
return;
}
else if(node->balance>=1 && value>node->pRight->data){
node=leftRotate(node);
return;
}
else if(node->balance>=1 && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
node=leftRotate(node);
return;
}
fix(node->pLeft, value);
fix(node->pRight, value);
}
void insert(const T &value){
//TODO
insertion(root, value);
//fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* &node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* &node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
void insertion(Node* &node, const T value){
if(node==NULL) {node=new Node(value);}
else if(value<node->data) insertion(node->pLeft, value);
else if(value>node->data) insertion(node->pRight, value);
// else return;
if(node->balance==LH && value<node->pLeft->data){
node=rightRotate(node);
}
else if(node->balance==LH && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
node=rightRotate(node);
}
else if(node->balance==RH && value>node->pRight->data){
node=leftRotate(node);
}
else if(node->balance==RH && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
node=leftRotate(node);
}
}
// void fix(Node* &node, const T value){
// if(node==NULL) return;
// if(node->balance<=-1 && value<node->pLeft->data){
// node=rightRotate(node);
// return;
// }
// else if(node->balance<=-1 && value>node->pLeft->data){
// node->pLeft=leftRotate(node->pLeft);
// node=rightRotate(node);
// return;
// }
// else if(node->balance>=1 && value>node->pRight->data){
// node=leftRotate(node);
// return;
// }
// else if(node->balance>=1 && value<node->pLeft->data){
// node->pRight=rightRotate(node->pRight);
// node=leftRotate(node);
// return;
// }
// fix(node->pLeft, value);
// fix(node->pRight, value);
// }
void insert(const T &value){
//TODO
insertion(root, value);
//fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
void insertion(Node* &node, const T value){
if(node==NULL) {node=new Node(value);}
else if(value<node->data) insertion(node->pLeft, value);
else if(value>node->data) insertion(node->pRight, value);
// else return;
if(node->balance==LH && value<node->pLeft->data){
node=rightRotate(node);
}
else if(node->balance==LH && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
node=rightRotate(node);
}
else if(node->balance==RH && value>node->pRight->data){
node=leftRotate(node);
}
else if(node->balance==RH && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
node=leftRotate(node);
}
}
// void fix(Node* &node, const T value){
// if(node==NULL) return;
// if(node->balance<=-1 && value<node->pLeft->data){
// node=rightRotate(node);
// return;
// }
// else if(node->balance<=-1 && value>node->pLeft->data){
// node->pLeft=leftRotate(node->pLeft);
// node=rightRotate(node);
// return;
// }
// else if(node->balance>=1 && value>node->pRight->data){
// node=leftRotate(node);
// return;
// }
// else if(node->balance>=1 && value<node->pLeft->data){
// node->pRight=rightRotate(node->pRight);
// node=leftRotate(node);
// return;
// }
// fix(node->pLeft, value);
// fix(node->pRight, value);
// }
void insert(const T &value){
//TODO
insertion(root, value);
//fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
void insertion(Node* &node, const T value){
if(node==NULL) {node=new Node(value);}
else if(value<node->data) insertion(node->pLeft, value);
else if(value>node->data) insertion(node->pRight, value);
// else return;
cout<<"A";
if(node->balance==LH && value<node->pLeft->data){
node=rightRotate(node);
}
else if(node->balance==LH && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
node=rightRotate(node);
}
else if(node->balance==RH && value>node->pRight->data){
node=leftRotate(node);
}
else if(node->balance==RH && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
node=leftRotate(node);
}
}
// void fix(Node* &node, const T value){
// if(node==NULL) return;
// if(node->balance<=-1 && value<node->pLeft->data){
// node=rightRotate(node);
// return;
// }
// else if(node->balance<=-1 && value>node->pLeft->data){
// node->pLeft=leftRotate(node->pLeft);
// node=rightRotate(node);
// return;
// }
// else if(node->balance>=1 && value>node->pRight->data){
// node=leftRotate(node);
// return;
// }
// else if(node->balance>=1 && value<node->pLeft->data){
// node->pRight=rightRotate(node->pRight);
// node=leftRotate(node);
// return;
// }
// fix(node->pLeft, value);
// fix(node->pRight, value);
// }
void insert(const T &value){
//TODO
insertion(root, value);
//fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
void insertion(Node* &node, const T value){
if(node==NULL) {node=new Node(value);}
else if(value<node->data) insertion(node->pLeft, value);
else if(value>node->data) insertion(node->pRight, value);
// else return;
if(node->balance==LH && value<node->pLeft->data){
node=rightRotate(node);
}
else if(node->balance==LH && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
node=rightRotate(node);
}
else if(node->balance==RH && value>node->pRight->data){
node=leftRotate(node);
}
else if(node->balance==RH && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
node=leftRotate(node);
}
}
// void fix(Node* &node, const T value){
// if(node==NULL) return;
// if(node->balance<=-1 && value<node->pLeft->data){
// node=rightRotate(node);
// return;
// }
// else if(node->balance<=-1 && value>node->pLeft->data){
// node->pLeft=leftRotate(node->pLeft);
// node=rightRotate(node);
// return;
// }
// else if(node->balance>=1 && value>node->pRight->data){
// node=leftRotate(node);
// return;
// }
// else if(node->balance>=1 && value<node->pLeft->data){
// node->pRight=rightRotate(node->pRight);
// node=leftRotate(node);
// return;
// }
// fix(node->pLeft, value);
// fix(node->pRight, value);
// }
void insert(const T &value){
//TODO
insertion(root, value);
//fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
void insertion(Node* &node, const T value){
if(node==NULL) {node=new Node(value);}
else if(value<node->data) insertion(node->pLeft, value);
else if(value>node->data) insertion(node->pRight, value);
// else return;
if(node->balance==LH && value<node->pLeft->data){
node=rightRotate(node);
}
else if(node->balance==LH && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
node=rightRotate(node);
}
else if(node->balance==RH && value>node->pRight->data){
node=leftRotate(node);
}
else if(node->balance==RH && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
node=leftRotate(node);
}
cout<<"A";
}
// void fix(Node* &node, const T value){
// if(node==NULL) return;
// if(node->balance<=-1 && value<node->pLeft->data){
// node=rightRotate(node);
// return;
// }
// else if(node->balance<=-1 && value>node->pLeft->data){
// node->pLeft=leftRotate(node->pLeft);
// node=rightRotate(node);
// return;
// }
// else if(node->balance>=1 && value>node->pRight->data){
// node=leftRotate(node);
// return;
// }
// else if(node->balance>=1 && value<node->pLeft->data){
// node->pRight=rightRotate(node->pRight);
// node=leftRotate(node);
// return;
// }
// fix(node->pLeft, value);
// fix(node->pRight, value);
// }
void insert(const T &value){
//TODO
insertion(root, value);
//fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
void insertion(Node* &node, const T value){
if(node==NULL) {node=new Node(value);}
else if(value<node->data) insertion(node->pLeft, value);
else if(value>node->data) insertion(node->pRight, value);
// else return;
cout<<node->data;
if(node->balance==LH && value<node->pLeft->data){
node=rightRotate(node);
}
else if(node->balance==LH && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
node=rightRotate(node);
}
else if(node->balance==RH && value>node->pRight->data){
node=leftRotate(node);
}
else if(node->balance==RH && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
node=leftRotate(node);
}
}
// void fix(Node* &node, const T value){
// if(node==NULL) return;
// if(node->balance<=-1 && value<node->pLeft->data){
// node=rightRotate(node);
// return;
// }
// else if(node->balance<=-1 && value>node->pLeft->data){
// node->pLeft=leftRotate(node->pLeft);
// node=rightRotate(node);
// return;
// }
// else if(node->balance>=1 && value>node->pRight->data){
// node=leftRotate(node);
// return;
// }
// else if(node->balance>=1 && value<node->pLeft->data){
// node->pRight=rightRotate(node->pRight);
// node=leftRotate(node);
// return;
// }
// fix(node->pLeft, value);
// fix(node->pRight, value);
// }
void insert(const T &value){
//TODO
insertion(root, value);
//fix(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* newNode(const T value){
Node* temp=new Node(value);
return temp;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* insertion(Node* &node, const T value){
if(node==NULL) return new Node(value);
else if(value<node->data) node->pLeft=insertion(node->pLeft, value);
else if(value>node->data) node->pRight=insertion(node->pRight, value);
else return node;
if(node->balance==LH && value<node->pLeft->data){
node=rightRotate(node);
}
else if(node->balance==LH && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
node=rightRotate(node);
}
else if(node->balance==RH && value>node->pRight->data){
node=leftRotate(node);
}
else if(node->balance==RH && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
node=leftRotate(node);
}
}
void insert(const T &value){
//TODO
insertion(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* newNode(const T value){
Node* temp=new Node(value);
return temp;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* insertion(Node* &node, const T value){
if(node==NULL) return new Node(value);
else if(value<node->data) node->pLeft=insertion(node->pLeft, value);
else if(value>node->data) node->pRight=insertion(node->pRight, value);
else return node;
if(node->balance==LH && value<node->pLeft->data){
node=rightRotate(node);
}
else if(node->balance==LH && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
node=rightRotate(node);
}
else if(node->balance==RH && value>node->pRight->data){
node=leftRotate(node);
}
else if(node->balance==RH && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
node=leftRotate(node);
}
}
void insert(const T &value){
//TODO
root=insertion(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x==-1) return LH;
else if(x==1) return RH;
return EH;
}
Node* newNode(const T value){
Node* temp=new Node(value);
return temp;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* insertion(Node* &node, const T value){
if(node==NULL) return new Node(value);
else if(value<node->data) node->pLeft=insertion(node->pLeft, value);
else if(value>node->data) node->pRight=insertion(node->pRight, value);
else return node;
if(node->balance==LH && value<node->pLeft->data){
return rightRotate(node);
}
else if(node->balance==LH && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
return rightRotate(node);
}
else if(node->balance==RH && value>node->pRight->data){
return leftRotate(node);
}
else if(node->balance==RH && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
return leftRotate(node);
}
return node;
}
void insert(const T &value){
//TODO
root=insertion(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x<-1) return LH;
else if(x>1) return RH;
return EH;
}
Node* newNode(const T value){
Node* temp=new Node(value);
return temp;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* insertion(Node* &node, const T value){
if(node==NULL) return new Node(value);
else if(value<node->data) node->pLeft=insertion(node->pLeft, value);
else if(value>node->data) node->pRight=insertion(node->pRight, value);
else return node;
if(node->balance && value<node->pLeft->data){
return rightRotate(node);
}
else if(node->balance==LH && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
return rightRotate(node);
}
else if(node->balance==RH && value>node->pRight->data){
return leftRotate(node);
}
else if(node->balance==RH && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
return leftRotate(node);
}
return node;
}
void insert(const T &value){
//TODO
root=insertion(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x<-1) return LH;
else if(x>1) return RH;
return EH;
}
Node* newNode(const T value){
Node* temp=new Node(value);
return temp;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* insertion(Node* &node, const T value){
if(node==NULL) return new Node(value);
else if(value<node->data) node->pLeft=insertion(node->pLeft, value);
else if(value>node->data) node->pRight=insertion(node->pRight, value);
else return node;
if(node->balance==LH && value<node->pLeft->data){
return rightRotate(node);
}
else if(node->balance==LH && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
return rightRotate(node);
}
else if(node->balance==RH && value>node->pRight->data){
return leftRotate(node);
}
else if(node->balance==RH && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
return leftRotate(node);
}
return node;
}
void insert(const T &value){
//TODO
root=insertion(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x<-1) return LH;
else if(x>1) return RH;
return EH;
}
Node* newNode(const T value){
Node* temp=new Node(value);
return temp;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* insertion(Node* &node, const T value){
if(node==NULL) return new Node(value);
else if(value<node->data) node->pLeft=insertion(node->pLeft, value);
else if(value>node->data) node->pRight=insertion(node->pRight, value);
else return node;
if(node->balance==LH && value<node->pLeft->data){
return rightRotate(node);
}
if(node->balance==LH && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
return rightRotate(node);
}
if(node->balance==RH && value>node->pRight->data){
return leftRotate(node);
}
if(node->balance==RH && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
return leftRotate(node);
}
return node;
}
void insert(const T &value){
//TODO
root=insertion(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x<-1) return LH;
else if(x>1) return RH;
return EH;
}
Node* newNode(const T value){
Node* temp=new Node(value);
return temp;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* insertion(Node* &node, const T value){
if(node==NULL) return newNode(value);
if(value<node->data) node->pLeft=insertion(node->pLeft, value);
else if(value>node->data) node->pRight=insertion(node->pRight, value);
else return node;
if(node->balance==LH && value<node->pLeft->data){
return rightRotate(node);
}
if(node->balance==LH && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
return rightRotate(node);
}
if(node->balance==RH && value>node->pRight->data){
return leftRotate(node);
}
if(node->balance==RH && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
return leftRotate(node);
}
return node;
}
void insert(const T &value){
//TODO
root=insertion(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x<-1) return LH;
else if(x>1) return RH;
return EH;
}
Node* newNode(const T value){
Node* temp=new Node(value);
return temp;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* insertion(Node* &node, const T value){
if(node==NULL) return newNode(value);
if(value<node->data) node->pLeft=insertion(node->pLeft, value);
else if(value>node->data) node->pRight=insertion(node->pRight, value);
else return node;
if(node->balance==LH && value<node->pLeft->data){
return rightRotate(node);
cout<<"A";
}
if(node->balance==LH && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
cout<<"A";
return rightRotate(node);
}
if(node->balance==RH && value>node->pRight->data){
cout>>"A";
return leftRotate(node);
}
if(node->balance==RH && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
cout<<"A";
return leftRotate(node);
}
return node;
}
void insert(const T &value){
//TODO
root=insertion(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x<-1) return LH;
else if(x>1) return RH;
return EH;
}
Node* newNode(const T value){
Node* temp=new Node(value);
return temp;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* insertion(Node* &node, const T value){
if(node==NULL) return newNode(value);
if(value<node->data) node->pLeft=insertion(node->pLeft, value);
else if(value>node->data) node->pRight=insertion(node->pRight, value);
else return node;
if(node->balance==LH && value<node->pLeft->data){
return rightRotate(node);
cout<<"A";
}
if(node->balance==LH && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
cout<<"A";
return rightRotate(node);
}
if(node->balance==RH && value>node->pRight->data){
cout<<"A";
return leftRotate(node);
}
if(node->balance==RH && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
cout<<"A";
return leftRotate(node);
}
return node;
}
void insert(const T &value){
//TODO
root=insertion(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x<-1) return LH;
else if(x>1) return RH;
return EH;
}
Node* newNode(const T value){
Node* temp=new Node(value);
return temp;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* insertion(Node* &node, const T value){
if(node==NULL) return newNode(value);
if(value<node->data) node->pLeft=insertion(node->pLeft, value);
else if(value>node->data) node->pRight=insertion(node->pRight, value);
else return node;
int bal=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(bal<-1 && value<node->pLeft->data){
return rightRotate(node);
}
if(bal<-1 && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
return rightRotate(node);
}
if(bal>1 && value>node->pRight->data){
return leftRotate(node);
}
if(bal>1 && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
return leftRotate(node);
}
return node;
}
void insert(const T &value){
//TODO
root=insertion(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x<-1) return LH;
else if(x>1) return RH;
return EH;
}
Node* newNode(const T value){
Node* temp=new Node(value);
return temp;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* insertion(Node* &node, const T value){
if(node==NULL) return newNode(value);
if(value<node->data) node->pLeft=insertion(node->pLeft, value);
else if(value>node->data) node->pRight=insertion(node->pRight, value);
else return node;
int bal=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
cout<<"A";
if(bal<-1 && value<node->pLeft->data){
return rightRotate(node);
}
if(bal<-1 && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
return rightRotate(node);
}
if(bal>1 && value>node->pRight->data){
return leftRotate(node);
}
if(bal>1 && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
return leftRotate(node);
}
return node;
}
void insert(const T &value){
//TODO
root=insertion(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x<-1) return LH;
else if(x>1) return RH;
return EH;
}
Node* newNode(const T value){
Node* temp=new Node(value);
return temp;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* insertion(Node* &node, const T value){
if(node==NULL) return newNode(value);
if(value<node->data) node->pLeft=insertion(node->pLeft, value);
else if(value>node->data) node->pRight=insertion(node->pRight, value);
else return node;
int bal=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(bal<-1 && value<node->pLeft->data){
return rightRotate(node);
}
if(bal<-1 && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
return rightRotate(node);
}
if(bal>1 && value>node->pRight->data){
return leftRotate(node);
}
if(bal>1 && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
return leftRotate(node);
}
return node;
}
void insert(const T &value){
//TODO
root=insertion(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x<-1) return LH;
else if(x>1) return RH;
return EH;
}
Node* newNode(const T value){
Node* temp=new Node(value);
return temp;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* insertion(Node* &node, const T value){
if(node==NULL) return newNode(value);
if(value<node->data) node->pLeft=insertion(node->pLeft, value);
else if(value>node->data) node->pRight=insertion(node->pRight, value);
else return node;
int bal=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(bal<-1 && value<node->pLeft->data){
return rightRotate(node);
}
if(bal<-1 && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
return rightRotate(node);
}
if(bal>1 && value>node->pRight->data){
return leftRotate(node);
}
if(bal>1 && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
return leftRotate(node);
}
return node;
}
void insert(const T &value){
//TODO
insertion(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x<-1) return LH;
else if(x>1) return RH;
return EH;
}
Node* newNode(const T value){
Node* temp=new Node(value);
return temp;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* insertion(Node* &node, const T value){
if(node==NULL) return newNode(value);
if(value<node->data) node->pLeft=insertion(node->pLeft, value);
else if(value>node->data) node->pRight=insertion(node->pRight, value);
else return node;
int bal=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(bal<-1 && value<node->pLeft->data){
return rightRotate(node);
}
if(bal<-1 && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
return rightRotate(node);
}
if(bal>1 && value>node->pRight->data){
return leftRotate(node);
}
if(bal>1 && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
return leftRotate(node);
}
return node;
}
void insert(const T &value){
//TODO
root=insertion(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x<-1) return LH;
else if(x>1) return RH;
return EH;
}
Node* newNode(const T value){
Node* temp=new Node(value);
return temp;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* insertion(Node* &node, const T value){
if(node==NULL) return (newNode(value));
if(value<node->data) node->pLeft=insertion(node->pLeft, value);
else if(value>node->data) node->pRight=insertion(node->pRight, value);
else return node;
int bal=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(bal<-1 && value<node->pLeft->data){
return rightRotate(node);
}
if(bal<-1 && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
return rightRotate(node);
}
if(bal>1 && value>node->pRight->data){
return leftRotate(node);
}
if(bal>1 && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
return leftRotate(node);
}
return node;
}
void insert(const T &value){
//TODO
root=insertion(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x<-1) return LH;
else if(x>1) return RH;
return EH;
}
Node* newNode(const T value){
Node* temp=new Node(value);
return temp;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* insertion(Node* &node, const T value){
if(node==NULL) return newNode(value);
if(value<node->data) node->pLeft=insertion(node->pLeft, value);
else if(value>node->data) node->pRight=insertion(node->pRight, value);
else return node;
node->balance=getBalance(node);
int bal=node->pRight->getHeight()-node->pLeft->getHeight();
if(bal<-1 && value<node->pLeft->data){
return rightRotate(node);
}
if(bal<-1 && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
return rightRotate(node);
}
if(bal>1 && value>node->pRight->data){
return leftRotate(node);
}
if(bal>1 && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
return leftRotate(node);
}
return node;
}
void insert(const T &value){
//TODO
root=insertion(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x<-1) return LH;
else if(x>1) return RH;
return EH;
}
Node* newNode(const T value){
Node* temp=new Node(value);
return temp;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* insertion(Node* &node, const T value){
if(node==NULL) return newNode(value);
if(value<node->data) node->pLeft=insertion(node->pLeft, value);
else if(value>node->data) node->pRight=insertion(node->pRight, value);
else return node;
node->balance=getBalance(node);
int bal=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(bal<-1 && value<node->pLeft->data){
return rightRotate(node);
}
if(bal<-1 && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
return rightRotate(node);
}
if(bal>1 && value>node->pRight->data){
return leftRotate(node);
}
if(bal>1 && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
return leftRotate(node);
}
return node;
}
void insert(const T &value){
//TODO
root=insertion(root, value);
}
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Answer for question 3:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x<-1) return LH;
else if(x>1) return RH;
return EH;
}
Node* newNode(const T value){
Node* temp=new Node(value);
return temp;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* insertion(Node* &node, const T value){
if(node==NULL) return newNode(value);
if(value<node->data) node->pLeft=insertion(node->pLeft, value);
else if(value>node->data) node->pRight=insertion(node->pRight, value);
else return node;
node->balance=getBalance(node);
int bal=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(bal<-1 && value<node->pLeft->data){
return rightRotate(node);
}
if(bal<-1 && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
return rightRotate(node);
}
if(bal>1 && value>node->pRight->data){
return leftRotate(node);
}
if(bal>1 && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
return leftRotate(node);
}
return node;
}
void insert(const T &value){
//TODO
root=insertion(root, value);
}
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Answer for question 2:
//Helping functions
BalanceValue getBalance(Node* node){
int x=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(x<-1) return LH;
else if(x>1) return RH;
return EH;
}
Node* leftRotate(Node* node){
Node* x=node->pRight;
Node* y=x->pLeft;
x->pLeft=node;
node->pRight=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
Node* rightRotate(Node* node){
Node* x=node->pLeft;
Node* y=x->pRight;
x->pRight=node;
node->pLeft=y;
x->balance=getBalance(x);
node->balance=getBalance(node);
return x;
}
void insertion(Node* &node, const T value){
if(node==NULL) node=new Node(value);
if(value<node->data) insertion(node->pLeft, value);
else if(value>node->data) insertion(node->pRight, value);
node->balance=getBalance(node);
int bal=getHeightRec(node->pRight)-getHeightRec(node->pLeft);
if(bal<-1 && value<node->pLeft->data){
node=rightRotate(node);
}
if(bal<-1 && value>node->pLeft->data){
node->pLeft=leftRotate(node->pLeft);
node=rightRotate(node);
}
if(bal>1 && value>node->pRight->data){
node=leftRotate(node);
}
if(bal>1 && value<node->pLeft->data){
node->pRight=rightRotate(node->pRight);
node=leftRotate(node);
}
}
void insert(const T &value){
//TODO
insertion(root, value);
}
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Answer for question 5:
bool searching(Node* node, const T value){
if(node==NULL) return false;
else if(node->data==value) return true;
bool left=searching(node->pLeft, value);
bool right=searching(node->pRight, value);
return left && right;
}
bool search(const T &value){
//TODO
return searching(root, value);
}
void print(Node* node){
if(node==NULL) return;
print(node->pLeft);
cout<<node->data<<" ";
print(node->pRight);
}
void printInorder(){
//TODO
print(root);
} | [
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Answer for question 5:
bool searching(Node* node, const T value){
if(node==NULL) return false;
else if(node->data==value) return true;
bool left=searching(node->pLeft, value);
bool right=searching(node->pRight, value);
return left || right;
}
bool search(const T &value){
//TODO
return searching(root, value);
}
void print(Node* node){
if(node==NULL) return;
print(node->pLeft);
cout<<node->data<<" ";
print(node->pRight);
}
void printInorder(){
//TODO
print(root);
} | [
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Answer for question 6:
/// BEGIN STUDENT CODE
string toString() {
stringstream ss;
// Fill your code here
ss << "<"
<< this->key << ","
<< this->data
<< ">";
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
for(int i=0; i<numEntries; i++){
ss<<entries[i]->toString();
}
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
for(int i=0; i<numEntries; i++){
ss<<entries[i].toString();
}
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 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 7:
/// BEGIN STUDENT CODE
======================================
// You may need some helping functions here
string traverse(Node* node){
stringstream ss;
if(node->firstPtr==NULL) return node->toString();
ss<<node->toString();
ss<<traverse(node->firstPtr);
for(int i=0; i<numEntries; i++){
ss<<traverse(entries[i]->rightPtr);
}
return ss;
}
string toStringPreOrder() {
return traverse(root);
}
/// END STUDENT CODE | [
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Answer for question 7:
/// BEGIN STUDENT CODE
======================================
// You may need some helping functions here
string Btree::traverse(Node* node){
stringstream ss;
if(node->firstPtr==NULL) return node->toString();
ss<<node->toString();
ss<<traverse(node->firstPtr);
for(int i=0; i<numEntries; i++){
ss<<traverse(entries[i]->rightPtr);
}
return ss;
}
string toStringPreOrder() {
return traverse(root);
}
/// END STUDENT CODE | [
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Answer for question 7:
/// BEGIN STUDENT CODE
======================================
// You may need some helping functions here
string traverse(Node* node){
stringstream ss;
if(node->firstPtr==NULL) return node->toString();
ss<<node->toString();
ss<<traverse(node->firstPtr);
for(int i=0; i<numEntries; i++){
ss<<traverse(entries[i]->rightPtr);
}
return ss;
}
string toStringPreOrder() {
return traverse(root);
}
/// END STUDENT CODE | [
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Answer for question 8:
/// BEGIN STUDENT CODE
/// ======================================================
// You may need some helping functions here
bool searching(Node* node, const K& key, Node*& outNodePtr, int& outEntryIdx){
if(node==NULL) return false;
else {
for(int i=0; i<numEntries; i++){
if(node->entries[i]->key==key) {
outEntryIdx=i;
outNodePtr=node;
return true;
}
}
}
bool result=0;
result=result|| searching(node->firstPtr, key);
for(int i=0; i<numEntries; i++){
result=result||searching(node->entries[i]->rightPtr);
}
return result;
}
bool search(const K& key, Node*& outNodePtr, int& outEntryIdx) {
return searching(root, key, outNodePtr, outEntryIdx);
}
/// END STUDENT CODE | [
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Answer for question 8:
/// BEGIN STUDENT CODE
/// ======================================================
// You may need some helping functions here
bool searching(Node* node, const K& key, Node*& outNodePtr, int& outEntryIdx){
if(node==NULL) return false;
else {
for(int i=0; i<node->numEntries; i++){
if(node->entries[i].key==key) {
outEntryIdx=i;
outNodePtr=node;
return true;
}
}
}
bool result=0;
result=result|| searching(node->firstPtr, key);
for(int i=0; i<node->numEntries; i++){
result=result||searching(node->entries[i].rightPtr);
}
return result;
}
bool search(const K& key, Node*& outNodePtr, int& outEntryIdx) {
return searching(root, key, outNodePtr, outEntryIdx);
}
/// END STUDENT CODE | [
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Answer for question 8:
/// BEGIN STUDENT CODE
/// ======================================================
// You may need some helping functions here
bool searching(Node* node, const K& key, Node*& outNodePtr, int& outEntryIdx){
if(node==NULL) return false;
else {
for(int i=0; i<node->numEntries; i++){
if(node->entries[i].key==key) {
outEntryIdx=i;
outNodePtr=node;
return true;
}
}
}
bool result=0;
bool x=searching(node->firstPtr, key, outNodePtr, outEntryIdx);
result=result || x;
for(int i=0; i<node->numEntries; i++){
bool x=searching(node->entries[i].rightPtr, key, outNodePtr, outEntryIdx);
result=result || x;
}
return result;
}
bool search(const K& key, Node*& outNodePtr, int& outEntryIdx) {
return searching(root, key, outNodePtr, outEntryIdx);
}
/// END STUDENT CODE | [
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Answer for question 8:
/// BEGIN STUDENT CODE
/// ======================================================
// You may need some helping functions here
bool searching(Node* node, const K& key, Node*& outNodePtr, int& outEntryIdx){
if(node==NULL) return false;
else {
for(int i=0; i<node->numEntries; i++){
if(node->entries[i].key==key) {
outEntryIdx=i;
outNodePtr=node;
return true;
}
}
}
bool result=0;
result=result || searching(node->firstPtr, key, outNodePtr, outEntryIdx);
for(int i=0; i<node->numEntries; i++){
result=result || searching(node->entries[i].rightPtr, key, outNodePtr, outEntryIdx);
}
return result;
}
bool search(const K& key, Node*& outNodePtr, int& outEntryIdx) {
return searching(root, key, outNodePtr, outEntryIdx);
}
/// END STUDENT CODE | [
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Answer for question 8:
/// BEGIN STUDENT CODE
/// ======================================================
// You may need some helping functions here
bool searching(Node* node, const K& key, Node*& outNodePtr, int& outEntryIdx){
if(node==NULL) return false;
else {
for(int i=0; i<node->numEntries; i++){
if(node->entries[i].key==key) {
outEntryIdx=i;
outNodePtr=node;
return true;
}
}
}
bool result=0;
result=result || searching(node->firstPtr, key, outNodePtr, outEntryIdx);
for(int i=0; i<node->numEntries; i++){
result=result || searching(node->entries[i].rightPtr, key, outNodePtr, outEntryIdx);
}
return result;
}
bool search(const K& key, Node*& outNodePtr, int& outEntryIdx) {
return searching(root, key, outNodePtr, outEntryIdx);
}
/// END STUDENT CODE | [
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Answer for question 7:
/// BEGIN STUDENT CODE
======================================
// You may need some helping functions here
string PreOrder(Node* node){
stringstream ss;
if(node->firstPtr==NULL) return node->toString();
ss<<
}
string toStringPreOrder() {
}
/// END STUDENT CODE | [
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Answer for question 7:
/// BEGIN STUDENT CODE
======================================
// You may need some helping functions here
string PreOrder(Node* node){
stringstream ss;
if(node->firstPtr==NULL) return node->toString();
ss<<node->toString();
ss<<PreOrder(node->firstPtr);
for(int i=0; i<node->numEntries; i++){
ss<<PreOrder(node->entries[i].rightPtr);
}
return ss
}
string toStringPreOrder() {
}
/// END STUDENT CODE | [
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Answer for question 7:
/// BEGIN STUDENT CODE
======================================
// You may need some helping functions here
string PreOrder(Node* node){
stringstream ss;
if(node->firstPtr==NULL) return node->toString();
ss<<node->toString();
ss<<PreOrder(node->firstPtr);
for(int i=0; i<node->numEntries; i++){
ss<<PreOrder(node->entries[i].rightPtr);
}
return ss.str();
}
string toStringPreOrder() {
return PreOrder(root);
}
/// END STUDENT CODE | [
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] |
Answer for question 7:
/// BEGIN STUDENT CODE
======================================
// You may need some helping functions here
string PreOrder(Node* node){
stringstream ss;
if(node->firstPtr==NULL) return node->toString();
ss<<node->toString();
ss<<PreOrder(node->firstPtr);
for(int i=0; i<node->numEntries; i++){
ss<<PreOrder(node->entries[i].rightPtr);
}
return ss.str();
}
string toStringPreOrder() {
string s=PreOrder(root);
return s;
}
/// END STUDENT CODE | [
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Answer for question 7:
/// BEGIN STUDENT CODE
======================================
// You may need some helping functions here
string Btree::(Node* node){
stringstream ss;
if(node->firstPtr==NULL) return node->toString();
ss<<node->toString();
ss<<PreOrder(node->firstPtr);
for(int i=0; i<node->numEntries; i++){
ss<<PreOrder(node->entries[i].rightPtr);
}
return ss.str();
}
string toStringPreOrder() {
return PreOrder(root);
}
/// END STUDENT CODE | [
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