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Answer for question 4:
template <class T>
T DLinkedList<T>::removeAt(int index)
{
/* Remove element at index and return removed value */
if (index <0||index>=count) throw std::out_of_range("Out of range");
if (index == 0) {
T del = head->data;
if (count == 1) {
delete head;
tail = nullptr;
}
else {
Node* temp = head;
head = head->next;
head->previous = nullptr;
temp->next = nullptr;
delete temp;
}
return del;
}
else if (index == count - 1) {
Node* temp = tail;
T del = temp->data;
tail = tail->previous;
tail->next = nullptr;
temp->previous = nullptr;
delete temp;
return del;
}
else {
Node* traverse = head;
while (index != 0) {
traverse = traverse->next;
index--;
}
traverse->previous->next = traverse->next;
traverse->next->previous = traverse->previous;
traverse->next = nullptr;
traverse->previous = nullptr;
T del = traverse->data;
delete traverse;
return del;
}
count--;
}
template <class T>
bool DLinkedList<T>::removeItem(const T& item)
{
/* Remove the first apperance of item in list and return true, otherwise return false */
Node* traverse = head;
int index = 0;
while (traverse!=nullptr) {
if (traverse->data == item) {
removeAt(index);
return true;
}
traverse = traverse->next;
index++;
}
return false;
}
template<class T>
void DLinkedList<T>::clear(){
/* Remove all elements in list */
while (head != nullptr) removeAt(0);
count = 0;
tail = nullptr;
}
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Answer for question 4:
template <class T>
T DLinkedList<T>::removeAt(int index)
{
/* Remove element at index and return removed value */
if (index <0||index>=count) throw std::out_of_range("Out of range");
if (index == 0) {
T del = head->data;
if (count == 1) {
delete head;
tail = nullptr;
}
else {
Node* temp = head;
head = head->next;
head->previous = nullptr;
temp->next = nullptr;
delete temp;
}
count--;
return del;
}
else if (index == count - 1) {
Node* temp = tail;
T del = temp->data;
tail = tail->previous;
tail->next = nullptr;
temp->previous = nullptr;
delete temp;
count--;
return del;
}
else {
Node* traverse = head;
while (index != 0) {
traverse = traverse->next;
index--;
}
traverse->previous->next = traverse->next;
traverse->next->previous = traverse->previous;
traverse->next = nullptr;
traverse->previous = nullptr;
T del = traverse->data;
delete traverse;
count--;
return del;
}
}
template <class T>
bool DLinkedList<T>::removeItem(const T& item)
{
/* Remove the first apperance of item in list and return true, otherwise return false */
Node* traverse = head;
int index = 0;
while (traverse!=nullptr) {
if (traverse->data == item) {
removeAt(index);
return true;
}
traverse = traverse->next;
index++;
}
return false;
}
template<class T>
void DLinkedList<T>::clear(){
/* Remove all elements in list */
while (head != nullptr) removeAt(0);
count = 0;
tail = nullptr;
}
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Answer for question 4:
template <class T>
T DLinkedList<T>::removeAt(int index)
{
/* Remove element at index and return removed value */
if (index <0||index>=count) throw std::out_of_range("Out of range");
if (index == 0) {
T del = head->data;
if (count == 1) {
delete head;
tail = nullptr;
}
else {
Node* temp = head;
head = head->next;
head->previous = nullptr;
temp->next = nullptr;
delete temp;
}
count--;
return del;
}
else if (index == count - 1) {
Node* temp = tail;
T del = temp->data;
tail = tail->previous;
tail->next = nullptr;
temp->previous = nullptr;
delete temp;
count--;
if (count == 1) tail = head;
return del;
}
else {
Node* traverse = head;
while (index != 0) {
traverse = traverse->next;
index--;
}
traverse->previous->next = traverse->next;
traverse->next->previous = traverse->previous;
traverse->next = nullptr;
traverse->previous = nullptr;
T del = traverse->data;
delete traverse;
count--;
return del;
}
}
template <class T>
bool DLinkedList<T>::removeItem(const T& item)
{
/* Remove the first apperance of item in list and return true, otherwise return false */
Node* traverse = head;
int index = 0;
while (traverse!=nullptr) {
if (traverse->data == item) {
removeAt(index);
return true;
}
traverse = traverse->next;
index++;
}
return false;
}
template<class T>
void DLinkedList<T>::clear(){
/* Remove all elements in list */
while (head != nullptr) removeAt(0);
count = 0;
tail = nullptr;
}
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Answer for question 4:
template <class T>
T DLinkedList<T>::removeAt(int index)
{
/* Remove element at index and return removed value */
if (index <0||index>=count) throw std::out_of_range("Out of range");
if (index == 0) {
T del = head->data;
if (count == 1) {
delete head;
tail = nullptr;
}
else {
Node* temp = head;
head = head->next;
head->previous = nullptr;
temp->next = nullptr;
delete temp;
}
count--;
return del;
}
else if (index == count - 1) {
Node* temp = tail;
T del = temp->data;
tail = tail->previous;
tail->next = nullptr;
temp->previous = nullptr;
delete temp;
count--;
if (count == 1) tail = head;
return del;
}
else {
Node* traverse = head;
while (index != 0) {
traverse = traverse->next;
index--;
}
traverse->previous->next = traverse->next;
traverse->next->previous = traverse->previous;
traverse->next = nullptr;
traverse->previous = nullptr;
T del = traverse->data;
delete traverse;
count--;
return del;
}
}
template <class T>
bool DLinkedList<T>::removeItem(const T& item)
{
/* Remove the first apperance of item in list and return true, otherwise return false */
Node* traverse = head;
int index = 0;
while (traverse!=nullptr) {
if (traverse->data == item) {
removeAt(index);
return true;
}
traverse = traverse->next;
index++;
}
return false;
}
template<class T>
void DLinkedList<T>::clear(){
/* Remove all elements in list */
while (head != nullptr) removeAt(0);
count = 0;
tail = nullptr;
}
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Answer for question 1:
template <class T>
void DLinkedList<T>::add(const T& e) {
/* Insert an element into the end of the list. */
if (head == nullptr) {
head = new Node(e);
tail = head;
}
else {
tail->next = new Node(e);
Node* temp = tail;
tail = tail->next;
tail->previous = temp;
}
count++;
}
template<class T>
void DLinkedList<T>::add(int index, const T& e) {
/* Insert an element into the list at given index. */
if (index < 0 || index > count) throw std::out_of_range("out of range");
if (index == count) add(e);
else if (index == 0) {
if (head == nullptr) {
head = new Node(e);
tail = head;
count++;
}
else {
Node* temp = new Node(e);
temp->next = head;
head->previous = temp;
head = temp;
count++;
}
}
else {
Node* traverse = head;
while (index > 1) {
traverse = traverse->next;
index--;
}
Node* temp = new Node(e);
temp->next = traverse->next;
temp->next->previous = temp;
traverse->next = temp;
temp->previous = traverse;
count++;
}
}
template<class T>
int DLinkedList<T>::size() {
/* Return the length (size) of list */
return count;
} | [
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Answer for question 2:
template<class T>
T DLinkedList<T>::get(int index) {
/* Give the data of the element at given index in the list. */
if (index <0||index>=count) throw std::out_of_range("Out of range");
Node* traverse = head;
while (index != 0) {
traverse = traverse->next;
index--;
}
return traverse->data;
}
template <class T>
void DLinkedList<T>::set(int index, const T& e) {
/* Assign new value for element at given index in the list */
if (index <0||index>=count) throw std::out_of_range("Out of range");
Node* traverse = head;
while (index != 0) {
traverse = traverse->next;
index--;
}
traverse->data = e;
}
template<class T>
bool DLinkedList<T>::empty() {
/* Check if the list is empty or not. */
return !count;
}
template<class T>
int DLinkedList<T>::indexOf(const T& item) {
/* Return the first index wheter item appears in list, otherwise return -1 */
Node* traverse = head;
int index = 0;
while (traverse!= nullptr) {
if (traverse->data == item) return index;
index++;
traverse = traverse->next;
}
return -1;
}
template<class T>
bool DLinkedList<T>::contains(const T& item) {
/* Check if item appears in the list */
return (indexOf(item) != -1);
} | [
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Answer for question 4:
template <class T>
T DLinkedList<T>::removeAt(int index)
{
/* Remove element at index and return removed value */
if (index <0||index>=count) throw std::out_of_range("Out of range");
if (index == 0) {
T del = head->data;
Node* temp = head;
head = head->next;
head->previous = nullptr;
temp->next = nullptr;
delete temp;
count--;
return del;
}
else if (index == count - 1) {
Node* temp = tail;
T del = temp->data;
tail = tail->previous;
tail->next = nullptr;
temp->previous = nullptr;
delete temp;
count--;
if (count == 1) tail = head;
return del;
}
else {
Node* traverse = head;
while (index != 0) {
traverse = traverse->next;
index--;
}
traverse->previous->next = traverse->next;
traverse->next->previous = traverse->previous;
traverse->next = nullptr;
traverse->previous = nullptr;
T del = traverse->data;
delete traverse;
count--;
return del;
}
}
template <class T>
bool DLinkedList<T>::removeItem(const T& item)
{
/* Remove the first apperance of item in list and return true, otherwise return false */
Node* traverse = head;
int index = 0;
while (traverse!=nullptr) {
if (traverse->data == item) {
removeAt(index);
return true;
}
traverse = traverse->next;
index++;
}
return false;
}
template<class T>
void DLinkedList<T>::clear(){
/* Remove all elements in list */
while (head != nullptr) removeAt(0);
count = 0;
tail = nullptr;
}
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Answer for question 4:
template <class T>
T DLinkedList<T>::removeAt(int index)
{
/* Remove element at index and return removed value */
if (index <0||index>=count) throw std::out_of_range("Out of range");
if (index == 0) {
T del = head->data;
if (count == 1) {
delete head;
head = nullptr;
tail = nullptr;
}
else {
Node* temp = head;
head = head->next;
head->previous = nullptr;
temp->next = nullptr;
delete temp;
}
count--;
return del;
}
else if (index == count - 1) {
Node* temp = tail;
T del = temp->data;
tail = tail->previous;
tail->next = nullptr;
temp->previous = nullptr;
delete temp;
count--;
if (count == 1) tail = head;
return del;
}
else {
Node* traverse = head;
while (index != 0) {
traverse = traverse->next;
index--;
}
traverse->previous->next = traverse->next;
traverse->next->previous = traverse->previous;
traverse->next = nullptr;
traverse->previous = nullptr;
T del = traverse->data;
delete traverse;
count--;
return del;
}
}
template <class T>
bool DLinkedList<T>::removeItem(const T& item)
{
/* Remove the first apperance of item in list and return true, otherwise return false */
Node* traverse = head;
int index = 0;
while (traverse!=nullptr) {
if (traverse->data == item) {
removeAt(index);
return true;
}
traverse = traverse->next;
index++;
}
return false;
}
template<class T>
void DLinkedList<T>::clear(){
/* Remove all elements in list */
while (head != nullptr) removeAt(0);
count = 0;
tail = nullptr;
}
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Answer for question 8:
void push(T item) {
// TODO: Push new element into the top of the stack
list.add(0, item);
}
T pop() {
// TODO: Remove an element on top of the stack
return list.removeAt(0);
}
T top() {
// TODO: Get value of the element on top of the stack
return list.get(0);
}
bool empty() {
// TODO: Determine if the stack is empty
return !list.size();
}
int size() {
// TODO: Get the size of the stack
return list.size();
}
void clear() {
// TODO: Clear all elements of the stack
list.clear();
} | [
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Answer for question 7:
int baseballScore(string ops){
/*TODO*/
stack<int> record;
int preTop = (ops[0]-'0');
record.push(preTop);
for (unsigned int i = 1; i < ops.size(); i++)
{
// cout<<record.top()<<endl;
if (ops[i] >= '0' && ops[i] <= '9')
{
preTop = record.top();
record.push(ops[i] - '0');
}
if (ops[i] == '+')
{
int temp = record.top();
// cout<<temp <<" "<<preTop<<endl;
record.push(preTop + temp);
preTop = temp;
}
if (ops[i] == 'D')
{
preTop = record.top();
// cout<<preTop<<endl;
record.push(preTop * 2);
}
if (ops[i] == 'C')
{
record.pop();
}
}
int sum = 0;
while (!record.empty())
{
sum += record.top();
record.pop();
}
return sum;
} | [
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Answer for question 7:
int baseballScore(string ops){
/*TODO*/
stack<int> record;
int preTop = (ops[0]-'0');
record.push(preTop);
for (unsigned int i = 1; i < ops.size(); i++)
{
// cout<<record.top()<<endl;
if (ops[i] >= '0' && ops[i] <= '9')
{
if (!record.empty())preTop = record.top();
record.push(ops[i] - '0');
}
if (ops[i] == '+')
{
int temp = record.top();
// cout<<temp <<" "<<preTop<<endl;
record.push(preTop + temp);
preTop = temp;
}
if (ops[i] == 'D')
{
preTop = record.top();
// cout<<preTop<<endl;
record.push(preTop * 2);
}
if (ops[i] == 'C')
{
record.pop();
if (record.empty()) preTop = 0;
}
}
int sum = 0;
while (!record.empty())
{
sum += record.top();
record.pop();
}
return sum;
} | [
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Answer for question 7:
int baseballScore(string ops){
/*TODO*/
stack<int> record;
int preTop = (ops[0]-'0');
record.push(preTop);
for (unsigned int i = 1; i < ops.size(); i++)
{
// cout<<record.top()<<endl;
if (ops[i] >= '0' && ops[i] <= '9')
{
if (!record.empty())preTop = record.top();
record.push(ops[i] - '0');
}
if (ops[i] == '+')
{
int temp = record.top();
// cout<<temp <<" "<<preTop<<endl;
record.push(preTop + temp);
preTop = temp;
}
if (ops[i] == 'D')
{
preTop = record.top();
// cout<<preTop<<endl;
record.push(preTop * 2);
}
if (ops[i] == 'C')
{
record.pop();
if (record.empty()) preTop = 0;
}
}
int sum = 0;
while (!record.empty())
{
sum += record.top();
record.pop();
}
return sum;
} | [
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Answer for question 9:
vector<int> nextGreater(vector<int>& arr){
stack <int> check;
vector <int> result;
for (int i = arr.size() - 1;i >= 0;i--) {
check.push(i);
}
while (!check.empty()) {
for (unsigned int j = check.top() + 1; j < arr.size();j++ ) {
if (arr[check.top()] < arr[j]) {
result.push_back(arr[j]);
break;
}
if (j == arr.size() - 1) result.push_back(-1);
}
check.pop();
}
result.push_back(-1);
return result;
} | [
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Answer for question 10:
int evaluatePostfix(string expr){
/*TODO*/
stack <int> numbers;
bool isNumb = false;
for (unsigned int i = 0;i <expr.length();i++) {
if (expr[i] == ' ') {
isNumb = false;
continue;
}
if (expr[i] >= '0' && expr[i] <= '9') {
if (isNumb == false) {
numbers.push(expr[i]-'0');
isNumb = true;
}
else {
int temp = numbers.top();
numbers.pop();
numbers.push(temp*10 + (expr[i]-'0'));
}
}
else {
int b = numbers.top();
numbers.pop();
int a = numbers.top();
numbers.pop();
if (expr[i] == '+') {
numbers.push(a+b);
}
if (expr[i] == '-') {
numbers.push(a-b);
}
if (expr[i] == '*') {
numbers.push(a*b);
}
if (expr[i]=='/') {
numbers.push(a/b);
}
}
}
return numbers.top();
} | [
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Answer for question 12:
string removeDuplicates(string S){
/*TODO*/
stack <char> dup;
string res = "";
dup.push(S[0]);
for (size_t i = 1; i <S.length();i++) {
if (!dup.empty()) {
if (dup.top() == S[i]) {
dup.pop();
}
else dup.push(S[i]);
}
else dup.push(S[i]);
}
while (!dup.empty()) {
res = dup.top() + res;
dup.pop();
}
return res;
} | [
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Answer for question 13:
vector<int> stock_span(const vector<int>& ns) {
// STUDENT ANSWER
stack<int> index;
vector<int> ans(ns.size(), 1);
for (int i = 0;i < ns.size();i++) {
while (!index.empty()){
if (ns[i] >= ns[index.top()]) index.pop();
}
if (index.empty()) span[i] = i+1;
else span[i] = i - index.top();
index.push(i);
}
return ans;
}
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] |
Answer for question 13:
vector<int> stock_span(const vector<int>& ns) {
// STUDENT ANSWER
stack<int> index;
vector<int> ans(ns.size(), 1);
for (unsigned int i = 0;i < ns.size();i++) {
while (!index.empty()){
if (ns[i] >= ns[index.top()]) index.pop();
}
if (index.empty()) ans[i] = i+1;
else ans[i] = i - index.top();
index.push(i);
}
return ans;
}
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Answer for question 13:
vector<int> stock_span(const vector<int>& ns) {
// STUDENT ANSWER
stack<int> index;
vector<int> ans(ns.size(), 1);
for (unsigned int i = 0;i < ns.size();i++) {
while (!index.empty() && ns[i] >= ns[index.top()]){
index.pop();
}
if (index.empty()) ans[i] = i+1;
else ans[i] = i - index.top();
index.push(i);
}
return ans;
}
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Answer for question 13:
vector<int> stock_span(const vector<int>& ns) {
// STUDENT ANSWER
stack<int> index;
vector<int> ans(ns.size(), 1);
for (unsigned int i = 0;i < ns.size();i++) {
while (!index.empty() && ns[i] > ns[index.top()]){
index.pop();
}
if (index.empty()) ans[i] = i+1;
else ans[i] = i - index.top();
index.push(i);
}
return ans;
}
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Answer for question 14:
bool isValidParentheses (string s){
/*TODO*/
int r = 0, S = 0, c = 0;
for (unsigned int i = 0; i < s.length();i++) {
if (s[i] == '(') r++;
if (s[i] == ')') r--;
if (s[i] == '[') S++;
if (s[i] == ']') S--;
if (s[i] == '{') c++;
if (s[i] == '}') c--;
if (r < 0||S < 0||c < 0) return false;
}
if (r != 0 || S!= 0 || c!= 0) return false;
return true;
} | [
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] |
Answer for question 14:
bool isValidParentheses (string s){
/*TODO*/
stack <char> paran;
for (unsigned int i = 0;i < s.length();i++) {
if (!paran.empty()) {
if (paran.top() == '(') {
if (s[i] == ')') param.pop();
else return false;
}
else if (paran.top() == '[') {
if (s[i] == ')') param.pop();
else return false;
}
else if (paran.top() == ']') {
if (s[i] == ']') param.pop();
else return false;
}
else return false;
}
else param.push(s[i]);
}
return true;
} | [
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] |
Answer for question 14:
bool isValidParentheses (string s){
/*TODO*/
stack <char> paran;
for (unsigned int i = 0;i < s.length();i++) {
if (!paran.empty()) {
if (paran.top() == '(') {
if (s[i] == ')') paran.pop();
else return false;
}
else if (paran.top() == '[') {
if (s[i] == ')') paran.pop();
else return false;
}
else if (paran.top() == ']') {
if (s[i] == ']') paran.pop();
else return false;
}
else return false;
}
else paran.push(s[i]);
}
return true;
} | [
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] |
Answer for question 14:
bool isValidParentheses (string s){
/*TODO*/
stack <char> paran;
for (unsigned int i = 0;i < s.length();i++) {
if (!paran.empty()) {
if (paran.top() == '(') {
if (s[i] == ')') paran.pop();
else return false;
}
else if (paran.top() == '[') {
if (s[i] == ']') paran.pop();
else return false;
}
else if (paran.top() == '{') {
if (s[i] == '}') paran.pop();
else return false;
}
else return false;
}
else paran.push(s[i]);
}
return true;
} | [
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Answer for question 14:
bool isValidParentheses (string s){
/*TODO*/
stack <char> paran;
for (unsigned int i = 0;i < s.length();i++) {
if (!paran.empty()) {
if (paran.top() == '(') {
if (s[i] == ')') paran.pop();
else return false;
}
else if (paran.top() == '[') {
if (s[i] == ']') paran.pop();
else return false;
}
else if (paran.top() == '{') {
if (s[i] == '}') paran.pop();
else return false;
}
else return false;
}
else paran.push(s[i]);
}
return true;
} | [
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Answer for question 14:
bool isValidParentheses (string s){
/*TODO*/
stack <char> paran;
for (unsigned int i = 0;i < s.length();i++) {
if (!paran.empty()) {
if (paran.top() == '(') {
if (s[i] == ')') paran.pop();
else return false;
}
else if (paran.top() == '[') {
if (s[i] == ']') paran.pop();
else return false;
}
else if (paran.top() == '{') {
if (s[i] == '}') paran.pop();
else return false;
}
else return false;
}
else paran.push(s[i]);
}
return (paran.empty());
} | [
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] |
Answer for question 14:
bool isValidParentheses (string s){
/*TODO*/
stack <char> paran;
for (unsigned int i = 0;i < s.length();i++) {
if (!paran.empty()) {
if (paran.top() == '(') {
if (s[i] == ')') paran.pop();
else return false;
}
else if (paran.top() == '[') {
if (s[i] == ']') paran.pop();
else return false;
}
else if (paran.top() == '{') {
if (s[i] == '}') paran.pop();
else return false;
}
else return false;
}
else paran.push(s[i]);
}
return (paran.empty());
} | [
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Answer for question 14:
bool isValidParentheses (string s){
/*TODO*/
stack <char> paran;
for (unsigned int i = 0;i < s.length();i++) {
if (!paran.empty()) {
if (paran.top() == '(') {
if (s[i] == ')') paran.pop();
else return (s[i] != '(' && s[i]!='['&&s[i]!='{');
}
else if (paran.top() == '[') {
if (s[i] == ']') paran.pop();
else return (s[i] != '(' && s[i]!='['&&s[i]!='{');
}
else if (paran.top() == '{') {
if (s[i] == '}') paran.pop();
else return (s[i] != '(' && s[i]!='['&&s[i]!='{');
}
else return false;
}
else paran.push(s[i]);
}
return (paran.empty());
} | [
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Answer for question 14:
bool isValidParentheses (string s){
/*TODO*/
stack <char> paran;
for (unsigned int i = 0;i < s.length();i++) {
if (!paran.empty()) {
if (paran.top() == '(') {
if (s[i] == ')') paran.pop();
}
else if (paran.top() == '[') {
if (s[i] == ']') paran.pop();
}
else if (paran.top() == '{') {
if (s[i] == '}') paran.pop();
}
}
paran.push(s[i]);
}
return (paran.empty());
} | [
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Answer for question 14:
bool isValidParentheses (string s){
/*TODO*/
stack <char> paran;
for (unsigned int i = 0;i < s.length();i++) {
if (!paran.empty()) {
if (paran.top() == '(') {
if (s[i] == ')') paran.pop();
}
else if (paran.top() == '[') {
if (s[i] == ']') paran.pop();
}
else if (paran.top() == '{') {
if (s[i] == '}') paran.pop();
}
}
else paran.push(s[i]);
}
return (paran.empty());
} | [
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Answer for question 14:
bool isValidParentheses (string s){
/*TODO*/
stack <char> paran;
for (unsigned int i = 0;i < s.length();i++) {
if (!paran.empty()) {
if (paran.top() == '(') {
if (s[i] == ')') paran.pop();
}
else if (paran.top() == '[') {
if (s[i] == ']') paran.pop();
}
else if (paran.top() == '{') {
if (s[i] == '}') paran.pop();
}
}
else paran.push(s[i]);
}
return (paran.empty());
} | [
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Answer for question 14:
bool isValidParentheses (string s){
/*TODO*/
stack <char> paran;
for (unsigned int i = 0;i < s.length();i++) {
if (!paran.empty()) {
if (paran.top() == '(') {
if (s[i] == ')') paran.pop();
}
else if (paran.top() == '[') {
if (s[i] == ']') paran.pop();
}
else if (paran.top() == '{') {
if (s[i] == '}') paran.pop();
}
else paran.push(s[i]);
}
else paran.push(s[i]);
}
return (paran.empty());
} | [
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] |
Answer for question 14:
bool isValidParentheses (string s){
/*TODO*/
stack <char> paran;
for (unsigned int i = 0;i < s.length();i++) {
if (!paran.empty()) {
if (paran.top() == '(') {
if (s[i] == ')') paran.pop();
}
else if (paran.top() == '[') {
if (s[i] == ']') paran.pop();
}
else if (paran.top() == '{') {
if (s[i] == '}') paran.pop();
}
else paran.push(s[i]);
}
else paran.push(s[i]);
}
return (paran.empty());
} | [
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Answer for question 14:
bool isValidParentheses (string s){
/*TODO*/
stack <char> paran;
for (unsigned int i = 0;i < s.length();i++) {
if (!paran.empty()) {
if (paran.top() == '(') {
if (s[i] == ')') paran.pop();
else paran.push(s[i]);
}
else if (paran.top() == '[') {
if (s[i] == ']') paran.pop();
else paran.push(s[i]);
}
else if (paran.top() == '{') {
if (s[i] == '}') paran.pop();
else paran.push(s[i]);
}
}
else paran.push(s[i]);
}
return (paran.empty());
} | [
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] |
Answer for question 14:
bool isValidParentheses (string s){
/*TODO*/
stack <char> paran;
for (unsigned int i = 0;i < s.length();i++) {
if (!paran.empty()) {
if (paran.top() == '(') {
if (s[i] == ')') paran.pop();
else paran.push(s[i]);
}
else if (paran.top() == '[') {
if (s[i] == ']') paran.pop();
else paran.push(s[i]);
}
else if (paran.top() == '{') {
if (s[i] == '}') paran.pop();
else paran.push(s[i]);
}
}
else paran.push(s[i]);
}
return (paran.empty());
} | [
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Answer for question 11:
bool canEatFood(int maze[5][5], int fx, int fy){
/*TODO*/
stack <node> checklist;
for (int i = 4;i >= 0 ;i--) {
for (int j = 4;j >= 0;j--) {
if (maze[i][j] == 1){
maze[i][j] = 0;
node A(i,j);
for (int d=3;d>=0;d--) {
A.dir = d;
checklist.push(A);
}
}
}
}
while (!checklist.empty()) {
node B = checklist.top();
if (B.x == fx && B.y == fy) return true;
checklist.pop();
if (B.dir == 0) {
if (B.x - 1 >=0) {
if (maze[B.x - 1][B.y] == 1){
maze[B.x - 1][B.y] = 0;
node A(B.x -1,B.y);
for (int d=3;d>=0;d--) {
A.dir = d;
checklist.push(A);
}
}
}
}
if (B.dir == 1) {
if (B.y - 1 >=0) {
if (maze[B.x][B.y - 1] == 1){
maze[B.x][B.y - 1] = 0;
node A(B.x,B.y -1);
for (int d=3;d>=0;d--) {
A.dir = d;
checklist.push(A);
}
}
}
}
if (B.dir == 2) {
if (B.x + 1 <=5) {
if (maze[B.x + 1][B.y] == 1){
maze[B.x + 1][B.y] = 0;
node A(B.x +1,B.y);
for (int d=3;d>=0;d--) {
A.dir = d;
checklist.push(A);
}
}
}
}
if (B.dir == 3) {
if (B.y + 1 <=5) {
if (maze[B.x][B.y + 1] == 1){
maze[B.x][B.y + 1] = 0;
node A(B.x,B.y + 1);
for (int d=3;d>=0;d--) {
A.dir = d;
checklist.push(A);
}
}
}
}
}
return false;
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Answer for question 11:
bool canEatFood(int maze[5][5], int fx, int fy){
/*TODO*/
stack <node> checklist;
checklist.push(node(0,0));
maze[0][0] = 0;
while (!checklist.empty()) {
node B = checklist.top();
if (B.x == fx && B.y == fy) return true;
checklist.pop();
if (B.dir == 0) {
if (B.x - 1 >=0) {
if (maze[B.x - 1][B.y] == 1){
maze[B.x - 1][B.y] = 0;
node A(B.x -1,B.y);
for (int d=3;d>=0;d--) {
A.dir = d;
checklist.push(A);
}
}
}
}
if (B.dir == 1) {
if (B.y - 1 >=0) {
if (maze[B.x][B.y - 1] == 1){
maze[B.x][B.y - 1] = 0;
node A(B.x,B.y -1);
for (int d=3;d>=0;d--) {
A.dir = d;
checklist.push(A);
}
}
}
}
if (B.dir == 2) {
if (B.x + 1 <=5) {
if (maze[B.x + 1][B.y] == 1){
maze[B.x + 1][B.y] = 0;
node A(B.x +1,B.y);
for (int d=3;d>=0;d--) {
A.dir = d;
checklist.push(A);
}
}
}
}
if (B.dir == 3) {
if (B.y + 1 <=5) {
if (maze[B.x][B.y + 1] == 1){
maze[B.x][B.y + 1] = 0;
node A(B.x,B.y + 1);
for (int d=3;d>=0;d--) {
A.dir = d;
checklist.push(A);
}
}
}
}
}
return false;
} | [
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Answer for question 11:
bool canEatFood(int maze[5][5], int fx, int fy){
/*TODO*/
stack <node> checklist;
node start(0,0);
for (int d=3;d>=0;d--) {
start.dir = d;
checklist.push(start);
}
maze[0][0] = 0;
while (!checklist.empty()) {
node B = checklist.top();
if (B.x == fx && B.y == fy) return true;
checklist.pop();
if (B.dir == 0) {
if (B.x - 1 >=0) {
if (maze[B.x - 1][B.y] == 1){
maze[B.x - 1][B.y] = 0;
node A(B.x -1,B.y);
for (int d=3;d>=0;d--) {
A.dir = d;
checklist.push(A);
}
}
}
}
if (B.dir == 1) {
if (B.y - 1 >=0) {
if (maze[B.x][B.y - 1] == 1){
maze[B.x][B.y - 1] = 0;
node A(B.x,B.y -1);
for (int d=3;d>=0;d--) {
A.dir = d;
checklist.push(A);
}
}
}
}
if (B.dir == 2) {
if (B.x + 1 <=5) {
if (maze[B.x + 1][B.y] == 1){
maze[B.x + 1][B.y] = 0;
node A(B.x +1,B.y);
for (int d=3;d>=0;d--) {
A.dir = d;
checklist.push(A);
}
}
}
}
if (B.dir == 3) {
if (B.y + 1 <=5) {
if (maze[B.x][B.y + 1] == 1){
maze[B.x][B.y + 1] = 0;
node A(B.x,B.y + 1);
for (int d=3;d>=0;d--) {
A.dir = d;
checklist.push(A);
}
}
}
}
}
return false;
} | [
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Answer for question 11:
bool canEatFood(int maze[5][5], int fx, int fy){
/*TODO*/
stack <node> checklist;
node start(0,0);
for (int d=3;d>=0;d--) {
start.dir = d;
checklist.push(start);
}
maze[0][0] = 0;
while (!checklist.empty()) {
node B = checklist.top();
if (B.x == fx && B.y == fy) return true;
checklist.pop();
if (B.dir == 0) {
if (B.x - 1 >=0) {
if (maze[B.x - 1][B.y] == 1){
maze[B.x - 1][B.y] = 0;
node A(B.x -1,B.y);
for (int d=3;d>=0;d--) {
A.dir = d;
checklist.push(A);
}
}
}
}
if (B.dir == 1) {
if (B.y - 1 >=0) {
if (maze[B.x][B.y - 1] == 1){
maze[B.x][B.y - 1] = 0;
node A(B.x,B.y -1);
for (int d=3;d>=0;d--) {
A.dir = d;
checklist.push(A);
}
}
}
}
if (B.dir == 2) {
if (B.x + 1 <=5) {
if (maze[B.x + 1][B.y] == 1){
maze[B.x + 1][B.y] = 0;
node A(B.x +1,B.y);
for (int d=3;d>=0;d--) {
A.dir = d;
checklist.push(A);
}
}
}
}
if (B.dir == 3) {
if (B.y + 1 <=5) {
if (maze[B.x][B.y + 1] == 1){
maze[B.x][B.y + 1] = 0;
node A(B.x,B.y + 1);
for (int d=3;d>=0;d--) {
A.dir = d;
checklist.push(A);
}
}
}
}
}
return false;
} | [
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Answer for question 18:
void push(T item) {
// TODO: Push new element into the end of the queue
list.add(item);
}
T pop() {
// TODO: Remove an element in the head of the queue
return list.removeAt(0);
}
T top() {
// TODO: Get value of the element in the head of the queue
return list.get(0);
}
bool empty() {
// TODO: Determine if the queue is empty
return list.empty();
}
int size() {
// TODO: Get the size of the queue
return list.size();
}
void clear() {
// TODO: Clear all elements of the queue
list.clear();
} | [
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Answer for question 15:
void interleaveQueue(queue<int>& q){
queue<int>first;
queue<int>second;
int size = q.size();
for (int i = 0; i < size; i++) {
if (i < size/2) {
first.push(q.front());
q.pop();
}
else {
second.push(q.front());
q.pop();
}
}
for (int j = 0; j < size;j++) {
if (j % 2 == 0) {
q.push(first.front());
first.pop();
}
else {
q.push(second.front());
second.pop();
}
}
} | [
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Answer for question 16:
bool isBipartite(const std::vector<std::vector<int>>& graph) {
int n = graph.size();
std::vector<int> colors(n, 0); // 0: uncolored, 1: color 1, -1: color 2
for (int i = 0; i < n; ++i) {
if (colors[i] != 0) {
continue; // Vertex already colored, skip
}
colors[i] = 1; // Color the starting vertex with color 1
std::queue<int> q;
q.push(i);
while (!q.empty()) {
int curr = q.front();
q.pop();
for (int neighbor : graph[curr]) {
if (colors[neighbor] == colors[curr]) {
return false; // Neighboring vertices have the same color, not bipartite
}
if (colors[neighbor] == 0) {
colors[neighbor] = -colors[curr]; // Assign the opposite color to the neighbor
q.push(neighbor);
}
}
}
}
return true; // All vertices are successfully colored, graph is bipartite
} | [
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Answer for question 17:
void bfs(const std::vector<std::vector<int>> graph, int start) {
int n = graph.size();
std::vector<bool> visited(n, false); // Keep track of visited vertices
std::queue<int> q;
visited[start] = true;
q.push(start);
while (!q.empty()) {
int curr = q.front();
q.pop();
for (int neighbor : graph[curr]) {
if (!visited[neighbor]) {
visited[neighbor] = true;
q.push(neighbor);
}
}
}
} | [
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Answer for question 17:
void bfs(const std::vector<std::vector<int>> graph, int start) {
int n = graph.size();
std::vector<bool> visited(n, false); // Keep track of visited vertices
std::queue<int> q;
visited[start] = true;
q.push(start);
while (!q.empty()) {
int curr = q.front();
q.pop();
std::cout << curr << " "; // Process current vertex (print or do something)
for (int neighbor : graph[curr]) {
if (!visited[neighbor]) {
visited[neighbor] = true;
q.push(neighbor);
}
}
}
} | [
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Answer for question 19:
// iostream, vector and queue are included
// You can write helper methods
long long nthNiceNumber(int n) {
std::queue<long long> q;
q.push(2);
q.push(5);
while (true) {
long long curr = q.front();
q.pop();
n--;
if (n == 0) {
return curr;
}
q.push(curr * 10 + 2);
q.push(curr * 10 + 5);
}
return 0;
} | [
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] |
Answer for question 19:
// iostream, vector and queue are included
// You can write helper methods
long long nthNiceNumber(int n) {
queue<long long> q;
q.push(2);
q.push(5);
while (true) {
long long curr = q.front();
q.pop();
n--;
if (n == 0) {
return curr;
}
q.push(curr * 10 + 2);
q.push(curr * 10 + 5);
}
return 0;
} | [
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Answer for question 19:
// iostream, vector and queue are included
// You can write helper methods
long long nthNiceNumber(int n) {
queue<long long> q;
q.push(2);
q.push(5);
while (true) {
long long curr = q.front();
q.pop();
n--;
if (n == 0) {
return curr;
}
q.push(curr * 10 + 2);
q.push(curr * 10 + 5);
}
return 0;
} | [
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Answer for question 6:
/*
struct ListNode {
int val;
ListNode *left;
ListNode *right;
ListNode(int x = 0, ListNode *l = nullptr, ListNode* r = nullptr) : val(x), left(l), right(r) {}
};
*/
ListNode* reverse(ListNode* head, int a, int b) {
if (a == b) {
return head; // No reversal needed
}
ListNode* current = head;
ListNode* prevNode = nullptr;
int count = 1;
// Traverse to find the start node
while (count < a) {
prevNode = current;
current = current->right;
count++;
}
ListNode* startNode = current;
ListNode* prev = nullptr;
// Reverse the sublist from startNode to endNode
while (count <= b) {
ListNode* next = current->right;
current->right = prev;
current->left = next;
prev = current;
current = next;
count++;
}
ListNode* endNode = prev;
ListNode* nextNode = current;
// Update the connections before and after the reversed sublist
if (prevNode) {
prevNode->right = endNode;
} else {
head = endNode; // Update the head pointer
}
if (nextNode) {
nextNode->left = startNode;
}
startNode->right = nextNode;
endNode->left = prevNode;
return head;
} | [
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Answer for question 22:
template <class T>
void SLinkedList<T>::bubbleSort()
{
if (count <= 1)
return; // No need to sort if the list has 0 or 1 elements
bool sorted = false;
while (!sorted) {
sorted = true;
Node* current = head;
while (current && current->next) {
Node* nextNode = current->next;
if (current->data > nextNode->data) {
// Swap the data of current and nextNode
T temp = current->data;
current->data = nextNode->data;
nextNode->data = temp;
sorted = false;
}
current = current->next;
}
if (!sorted)
printList(); // Print the list after each pass
}
} | [
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Answer for question 23:
template <class T>
void Sorting<T>::selectionSort(T *start, T *end)
{
int size = end - start;
for (int i = 0; i < size - 1; i++) {
int minIndex = i;
for (int j = i + 1; j < size; j++) {
if (start[j] < start[minIndex]) {
minIndex = j;
}
}
// Swap the minimum element with the current element
T temp = start[i];
start[i] = start[minIndex];
start[minIndex] = temp;
printArray(start, end);
}
} | [
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Answer for question 20:
// iostream, vector and queue are included
// Hint: use breadth-first-search
int secondsToBeRotten(vector<vector<int>>& grid) {
int n = grid.size();
int m = grid[0].size();
queue<pair<int, int>> rottenApples;
int minutes = 0;
int freshCount = 0;
int rowCount = n * m;
for (int i = 0; i < n; i++) {
for (int j = 0; j < m; j++) {
if (grid[i][j] == 1) {
freshCount++;
} else if (grid[i][j] == 2) {
rottenApples.push({i, j});
}
}
}
if (freshCount == 0) {
return 0;
}
while (!rottenApples.empty()) {
minutes++;
int rotCount = 0;
int size = rottenApples.size();
for (int i = 0; i < size; i++) {
int x = rottenApples.front().first;
int y = rottenApples.front().second;
rottenApples.pop();
vector<pair<int, int>> neighbors = {{x + 1, y}, {x - 1, y}, {x, y + 1}, {x, y - 1}};
for (auto neighbor : neighbors) {
int nx = neighbor.first;
int ny = neighbor.second;
if (nx >= 0 && nx < n && ny >= 0 && ny < m && grid[nx][ny] == 1) {
grid[nx][ny] = 2;
rotCount++;
freshCount--;
rottenApples.push({nx, ny});
}
}
}
if (rotCount > 0) {
rowCount -= rotCount;
}
if (freshCount == 0) {
return minutes;
}
}
if (rowCount > 0) {
return -1;
}
return 0;
} | [
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Answer for question 6:
/*
struct ListNode {
int val;
ListNode *left;
ListNode *right;
ListNode(int x = 0, ListNode *l = nullptr, ListNode* r = nullptr) : val(x), left(l), right(r) {}
};
*/
ListNode* reverse(ListNode* head, int a, int b) {
if (a == b) {
return head; // No reversal needed
}
ListNode* current = head;
ListNode* prevNode = nullptr;
int count = 1;
// Traverse to find the start node
while (count < a) {
prevNode = current;
current = current->right;
count++;
}
ListNode* startNode = current;
ListNode* prev = nullptr;
// Reverse the sublist from startNode to endNode
while (count <= b) {
ListNode* next = current->right;
current->right = prev;
current->left = next;
prev = current;
current = next;
count++;
}
ListNode* endNode = prev;
ListNode* nextNode = current;
// Update the connections before and after the reversed sublist
if (prevNode) {
prevNode->right = endNode;
} else {
head = endNode; // Update the head pointer
}
if (nextNode) {
nextNode->left = startNode;
}
startNode->right = nextNode;
endNode->left = prevNode;
return head;
} | [
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Answer for question 21:
int sumOfMaxSubarray(vector<int>& nums, int k) {
// STUDENT ANSWER
deque<int> dq;
int sum = 0;
// Process the first window
for (int i = 0; i < k; i++) {
while (!dq.empty() && nums[i] > nums[dq.back()]) {
dq.pop_back();
}
dq.push_back(i);
}
// Calculate sum of maximum values in each subarray
for (int i = k; i < nums.size(); i++) {
sum += nums[dq.front()];
if (dq.front() <= i - k) {
dq.pop_front();
}
while (!dq.empty() && nums[i] > nums[dq.back()]) {
dq.pop_back();
}
dq.push_back(i);
}
sum += nums[dq.front()]; // Add the maximum value of the last subarray
return sum;
} | [
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Answer for question 21:
int sumOfMaxSubarray(vector<int>& nums, int k) {
// STUDENT ANSWER
deque<int> dq;
int sum = 0;
for (int i = 0; i < k; i++) {
while (!dq.empty() && nums[i] > nums[dq.back()]) {
dq.pop_back();
}
dq.push_back(i);
}
for (int i = k; i < nums.size(); i++) {
sum += nums[dq.front()];
if (dq.front() <= i - k) {
dq.pop_front();
}
while (!dq.empty() && nums[i] > nums[dq.back()]) {
dq.pop_back();
}
dq.push_back(i);
}
sum += nums[dq.front()];
return sum;
} | [
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Answer for question 17:
int rangeCount(BTNode* root, int lo, int hi) {
if (root == nullptr) return 0;
int count = 0;
if (root->val >= lo && root->val <= hi) count = 1;
return count + rangeCount(root->left, lo, hi) + rangeCount(root->right, lo, hi);
} | [
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Answer for question 19:
// STUDENT ANSWER BEGIN
// You can define other functions here to help you.
bool find(T i) {
// TODO: return true if value i is in the tree; otherwise, return false.
return findRecur(i, root);
}
bool findRecur (T i, Node* root) {
if (root == nullptr) return false;
if (root->value == i) return true;
return (findRecur(i, root->pLeft) || findRecur(i, root->pRight));
}
T sum(T l, T r) {
// TODO: return the sum of all element in the tree has value in range [l,r].
T sum = sumRecur(l, r, root);
return sum;
}
T sumRecur (T l, T r, Node* root) {
if (root == nullptr) return 0;
T count = 0;
if (root->value >= l && root->value <= r) count = root->value;
return count + sumRecur(l, r, root->pLeft) + sumRecur(l, r, root->pRight);
}
// STUDENT ANSWER END | [
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Answer for question 7:
// STUDENT ANSWER BEGIN
// You can define other functions here to help you.
void BFS()
{
if (root == nullptr) return;
cout << root->value;
queue <Node*> print;
if (root->pLeft) print.push(root->pLeft);
if (root->pRight) print.push(root->pRight);
while (!print.empty()) {
Node* current = print.front();
cout <<" "<<current->value;
if (current->pLeft) print.push(current->pLeft);
if (current->pRight) print.push(current->pRight);
print.pop();
}
}
// STUDENT ANSWER END | [
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Answer for question 2:
static void merge(T* left, T* middle, T* right)
{
/*TODO*/
int len = right - left + 1;
for (int i = 0; i < len - 1; i++)
{
for (int j = i + 1; j < len; j++)
{
if (left[i] > left[j])
{
T tmp = left[i];
left[i] = left[j];
left[j] = tmp;
}
}
}
Sorting::printArray(left, right);
}
static void mergeSort(T* start, T* end)
{
/*TODO*/
if (start == end) return;
int gap = (end - start) / 2;
T* middle = start + gap;
mergeSort(start, middle);
mergeSort(middle + 1, end);
merge(start, middle, end);
} | [
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Answer for question 2:
static void merge(T* left, T* middle, T* right)
{
/*TODO*/
int len = right - left + 1;
for (int i = 0; i < len - 1; i++)
{
for (int j = i + 1; j < len; j++)
{
if (left[i] > left[j])
{
T tmp = left[i];
left[i] = left[j];
left[j] = tmp;
}
}
}
printArray(left, right);
}
static void mergeSort(T* start, T* end)
{
/*TODO*/
if (start == end) return;
int gap = (end - start) / 2;
T* middle = start + gap;
mergeSort(start, middle);
mergeSort(middle + 1, end);
merge(start, middle, end);
} | [
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Answer for question 18:
BSTNode* subtreeWithRange(BSTNode* root, int lo, int hi) {
// STUDENT ANSWER
if (root == nullptr) return nullptr;
if (root->val >= lo && root->val <= hi) {
root->left = subtreeWithRange(root->left, lo, hi);
root->right = subtreeWithRange(root->right, lo, hi);
return root;
}
else if (root->val < lo) {
return subtreeWithRange(root->right, lo, hi);
}
else return subtreeWithRange(root->left, lo, hi);
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Answer for question 11:
// STUDENT ANSWER BEGIN
// You can define other functions here to help you.
int countRecur (Node* root) {
if (root == nullptr) return 0;
int count = 0;
if (root->pLeft && root->pRight) count = 1;
return count + countRecur(root->pLeft) + countRecur(root->pRight);
}
int countTwoChildrenNode()
{
int res = countRecur(root);
return res;
}
// STUDENT ANSWER END | [
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Answer for question 13:
//Helping functions
int sumRecur(Node* root) {
if (root == nullptr) return 0;
int sum = 0;
if (!root->pLeft && !root->pRight) sum = root->value ;
return sum + sumRecur(root->pLeft) + sumRecur(root->pRight);
}
int sumOfLeafs(){
//TODO
return sumRecur(root);
} | [
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Answer for question 3:
// You must use the nodes in the original list and must not modify ListNode's val attribute.
// Hint: You should complete the function mergeLists first and validate it using our first testcase example
// Merge two sorted lists
int lenListNode(ListNode* head)
{
ListNode* p = head;
int count = 0;
while (p != nullptr)
{
count++;
p = p->next;
}
return count;
}
ListNode* mergeLists(ListNode* a, ListNode* b)
{
ListNode* ans = new ListNode(), * p = ans, * pA = a, * pB = b;
while (pA != nullptr || pB != nullptr)
{
if (pA != nullptr)
{
if (pB != nullptr)
{
if (pA->val < pB->val)
{
p->next = pA;
pA = pA->next;
p = p->next;
p->next = nullptr;
}
else
{
p->next = pB;
pB = pB->next;
p = p->next;
p->next = nullptr;
}
}
else
{
p->next = pA;
pA = pA->next;
p = p->next;
p->next = nullptr;
}
}
else
{
p->next = pB;
pB = pB->next;
p = p->next;
p->next = nullptr;
}
}
p = ans;
ans = ans->next;
delete p;
return ans;
}
// Sort and unsorted list given its head pointer
ListNode* mergeSortList(ListNode* head)
{
int l = lenListNode(head);
if (l == 1) return head;
ListNode* p = head;
for (int i = 1; i < l / 2; i++)
{
p = p->next;
}
ListNode* tmp = p->next;
p->next = nullptr;
return mergeLists(mergeSortList(head), mergeSortList(tmp));
} | [
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Answer for question 10:
int sumRecur(BTNode* root, int head) {
if (!root->left && !root->right){
//cout <<head <<endl;
return head% 27022001;
}
int Left = 0;
int Right = 0;
if (root->left) Left = sumRecur(root->left, (head*10 + root->left->val) );
if (root->right) Right = sumRecur(root->right, (head*10 + root->right->val));
return Left + Right;
}
int sumDigitPath(BTNode* root) {
return sumRecur(root, root->val);
}
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Answer for question 10:
int sumRecur(BTNode* root, int head) {
if (!root->left && !root->right){
return head% 27022001;
}
int Left = 0;
int Right = 0;
if (root->left) Left = sumRecur(root->left, (head*10 + root->left->val) );
if (root->right) Right = sumRecur(root->right, (head*10 + root->right->val));
return (Left + Right)%27022001;
}
int sumDigitPath(BTNode* root) {
return sumRecur(root, root->val);
}
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Answer for question 10:
int sumRecur(BTNode* root, int head) {
if (!root->left && !root->right){
return head% 27022001;
}
int Left = 0;
int Right = 0;
if (root->left) Left = sumRecur(root->left, (head*10 + root->left->val) );
if (root->right) Right = sumRecur(root->right, (head*10 + root->right->val));
return (Left + Right)%27022001;
}
int sumDigitPath(BTNode* root) {
return sumRecur(root, root->val);
}
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Answer for question 10:
int sumRecur(BTNode* root, int head) {
if (!root->left && !root->right){
return head% 27022001;
}
int Left = 0;
int Right = 0;
if (root->left) Left = sumRecur(root->left, (head*10 + root->left->val)%27022001 );
if (root->right) Right = sumRecur(root->right, (head*10 + root->right->val)%27022001);
return (Left + Right)%27022001;
}
int sumDigitPath(BTNode* root) {
return sumRecur(root, root->val);
}
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Answer for question 9:
int lowestAncestor(BTNode* root, int a, int b) {
if (root == nullptr) {
return -1; // Return a sentinel value to indicate that a or b was not found
}
if (root->val == a || root->val == b) {
return root->val;
}
int left = lowestAncestor(root->left, a, b);
int right = lowestAncestor(root->right, a, b);
if (left != -1 && right != -1) {
return root->val;
} else if (left != -1) {
return left;
} else if (right != -1) {
return right;
} else {
return -1; // Neither a nor b were found in the current subtree
}
} | [
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] |
Answer for question 9:
int lowestAncestor(BTNode* root, int a, int b) {
if (root == nullptr) {
return -1;
}
if (root->val == a || root->val == b) {
return root->val;
}
int left = lowestAncestor(root->left, a, b);
int right = lowestAncestor(root->right, a, b);
if (left != -1 && right != -1) {
return root->val;
} else if (left != -1) {
return left;
} else if (right != -1) {
return right;
} else {
return -1;
}
} | [
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] |
Answer for question 12:
// STUDENT ANSWER BEGIN
// You can define other functions here to help you.
int getHRecur(Node* root) {
if (root == nullptr) return 0;
return max(1 + getHRecur(root->pLeft), 1 + getHRecur(root->pRight));
}
int getHeight() {
// TODO: return height of the binary tree.
return getHRecur(root);
}
string preRecur(Node* root) {
if (root == nullptr) return "";
string N = to_string(root->value);
string Left = preRecur(root->pLeft);
string Right = preRecur(root->pRight);
if (Left != "") N += " " +Left;
if (Right != "") N += " " +Right;
return N;
}
string preOrder() {
// TODO: return the sequence of values of nodes in pre-order.
return preRecur(root);
}
string inRecur(Node* root) {
if (root == nullptr) return "";
string res = "";
string N = to_string(root->value);
string Left = inRecur(root->pLeft);
string Right = inRecur(root->pRight);
if (Left != "") res += Left + " ";
res += N;
if (Right != "") res += " " +Right;
return res;
}
string inOrder() {
// TODO: return the sequence of values of nodes in in-order.
return inRecur(root);
}
string postRecur(Node* root) {
if (root == nullptr) return "";
string res = "";
string N = to_string(root->value);
string Left = postRecur(root->pLeft);
string Right = postRecur(root->pRight);
if (Left != "") res += Left + " ";
if (Right != "") res += Right + " ";
res += N;
return res;
}
string postOrder() {
// TODO: return the sequence of values of nodes in post-order.
return postRecur(root);
}
// STUDENT ANSWER END | [
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Answer for question 14:
void add(T value)
{
//TODO
if (root == nullptr)
{
root = new Node(value);
return;
}
Node* p = root;
while (p != nullptr)
{
if (p->value < value)
{
if (p->pRight == nullptr)
{
p->pRight = new Node(value);
return;
}
else p = p->pRight;
}
else
{
if (p->pLeft == nullptr)
{
p->pLeft = new Node(value);
return;
}
else p = p->pLeft;
}
}
}
Node* findSuccessor(Node *node)
{
Node* successor = node;
Node* successorParent = node;
// Start from the pRight child of the node to be deleted
Node* current = node->pRight;
while (current != nullptr)
{
successorParent = successor;
successor = current;
current = current->pLeft;
}
// When In-order successor is in the pLeft subtree
// perform two ref changes here as we have
// access to successorParent
if (successor != node->pRight)
{
successorParent->pLeft = successor->pRight;
// applicable only when successor is not pRight child
// so doing here
successor->pRight = node->pRight;
}
return successor;
}
void deleteNode(T value)
{
//TODO
Node *current = root;
Node *parent = root;
bool ispLeftChild = false;
while (current->value != value)
{
parent = current;
if (value < current->value)
{
current = current->pLeft;
ispLeftChild = true;
}
else
{
// Move to the pRight if searched value is >=
current = current->pRight;
ispLeftChild = false;
}
if (current == nullptr)
{
return;
}
}
if (current->pLeft == nullptr && current->pRight == nullptr)
{
if (current == root)
{
root = nullptr;
}
else if (ispLeftChild)
{
delete current;
parent->pLeft = nullptr;
}
else
{
delete current;
parent->pRight = nullptr;
}
}
// Node to be deleted has one child case
// Node to be deleted has pRight child
else if (current->pLeft == nullptr)
{
// if root node is to be deleted
if (current == root)
{
root = current->pRight;
}
// if deleted node is pLeft child
else if (ispLeftChild)
{
parent->pLeft = current->pRight;
}
// if deleted node is pRight child
else
{
parent->pRight = current->pRight;
}
delete current;
}
// Node to be deleted has pLeft child
else if (current->pRight == nullptr)
{
if (current == root)
{
root = current->pLeft;
}
// if deleted node is pLeft child
else if (ispLeftChild)
{
parent->pLeft = current->pLeft;
}
// if deleted node is pRight child
else {
parent->pRight = current->pLeft;
}
}
// Node to be deleted has two children case
else
{
// find in-order successor of the node to be deleted
Node* successor = findSuccessor(current);
if (current == root)
{
root = successor;
}
// if deleted node is pLeft child
else if (ispLeftChild)
{
parent->pLeft = successor;
}
// if deleted node is pRight child
else
{
parent->pRight = successor;
}
successor->pLeft = current->pLeft;
delete current;
}
} | [
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Answer for question 16:
void findIn(BSTNode* root, vector<int> &res) {
if (root == nullptr) return;
findIn(root->left, res);
res.push_back(root->val);
findIn(root->right, res);
}
int kthSmallest(BSTNode* root, int k) {
// STUDENT ANSWER
vector <int> res;
findIn(root, res);
return res[k-1];
}
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Answer for question 15:
vector<int> levelAlterTraverse(BSTNode* root) {
// STUDENT ANSWER
vector<int> result;
if (root == nullptr) {
return result;
}
queue<BSTNode*> nodeQueue;
nodeQueue.push(root);
bool leftToRight = true;
while (!nodeQueue.empty()) {
int levelSize = nodeQueue.size();
stack<int> levelVals;
for (int i = 0; i < levelSize; i++) {
BSTNode* node = nodeQueue.front();
nodeQueue.pop();
if (leftToRight) {
levelVals.push(node->val);
if (node->left != nullptr) {
nodeQueue.push(node->left);
}
if (node->right != nullptr) {
nodeQueue.push(node->right);
}
} else {
if (node->right != nullptr) {
nodeQueue.push(node->right);
}
if (node->left != nullptr) {
nodeQueue.push(node->left);
}
result.push_back(node->val);
}
}
while (!levelVals.empty()) {
result.push_back(levelVals.top());
levelVals.pop();
}
leftToRight = !leftToRight;
}
return result;
} | [
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Answer for question 15:
vector<int> levelAlterTraverse(BSTNode* root) {
// STUDENT ANSWER
std::vector<int> result;
if (root == nullptr) {
return result;
}
std::queue<BSTNode*> nodeQueue;
nodeQueue.push(root);
bool leftToRight = true;
while (!nodeQueue.empty()) {
int levelSize = nodeQueue.size();
std::stack<int> levelVals;
for (int i = 0; i < levelSize; i++) {
BSTNode* node = nodeQueue.front();
nodeQueue.pop();
if (leftToRight) {
levelVals.push(node->val);
} else {
result.push_back(node->val);
}
if (node->left != nullptr) {
nodeQueue.push(node->left);
}
if (node->right != nullptr) {
nodeQueue.push(node->right);
}
}
while (!levelVals.empty()) {
result.push_back(levelVals.top());
levelVals.pop();
}
leftToRight = !leftToRight;
}
return result;
} | [
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Answer for question 15:
vector<int> levelAlterTraverse(BSTNode* root) {
// STUDENT ANSWER
vector<int> result;
if (root == nullptr) {
return result;
}
std::queue<BSTNode*> nodeQueue;
nodeQueue.push(root);
bool leftToRight = true;
while (!nodeQueue.empty()) {
int levelSize = nodeQueue.size();
std::stack<int> levelVals;
for (int i = 0; i < levelSize; i++) {
BSTNode* node = nodeQueue.front();
nodeQueue.pop();
if (leftToRight) {
levelVals.push(node->val);
} else {
result.push_back(node->val);
}
if (node->left != nullptr) {
nodeQueue.push(node->left);
}
if (node->right != nullptr) {
nodeQueue.push(node->right);
}
}
while (!levelVals.empty()) {
result.push_back(levelVals.top());
levelVals.pop();
}
leftToRight = !leftToRight;
}
return result;
} | [
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Answer for question 15:
vector<int> levelAlterTraverse(BSTNode* root) {
// STUDENT ANSWER
vector<int> result;
if (root == nullptr) {
return result;
}
std::queue<BSTNode*> nodeQueue;
nodeQueue.push(root);
bool leftToRight = false;
while (!nodeQueue.empty()) {
int levelSize = nodeQueue.size();
std::stack<int> levelVals;
for (int i = 0; i < levelSize; i++) {
BSTNode* node = nodeQueue.front();
nodeQueue.pop();
if (leftToRight) {
levelVals.push(node->val);
} else {
result.push_back(node->val);
}
if (node->left != nullptr) {
nodeQueue.push(node->left);
}
if (node->right != nullptr) {
nodeQueue.push(node->right);
}
}
while (!levelVals.empty()) {
result.push_back(levelVals.top());
levelVals.pop();
}
leftToRight = !leftToRight;
}
return result;
} | [
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Answer for question 15:
vector<int> levelAlterTraverse(BSTNode* root) {
// STUDENT ANSWER
vector<int> result;
if (root == nullptr) {
return result;
}
std::queue<BSTNode*> nodeQueue;
nodeQueue.push(root);
bool leftToRight = false;
while (!nodeQueue.empty()) {
int levelSize = nodeQueue.size();
std::stack<int> levelVals;
for (int i = 0; i < levelSize; i++) {
BSTNode* node = nodeQueue.front();
nodeQueue.pop();
if (leftToRight) {
levelVals.push(node->val);
} else {
result.push_back(node->val);
}
if (node->left != nullptr) {
nodeQueue.push(node->left);
}
if (node->right != nullptr) {
nodeQueue.push(node->right);
}
}
while (!levelVals.empty()) {
result.push_back(levelVals.top());
levelVals.pop();
}
leftToRight = !leftToRight;
}
return result;
} | [
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Answer for question 15:
vector<int> levelAlterTraverse(BSTNode* root) {
// STUDENT ANSWER
vector<int> result;
if (root == nullptr) {
return result;
}
queue<BSTNode*> nodeQueue;
nodeQueue.push(root);
bool leftToRight = false;
while (!nodeQueue.empty()) {
int levelSize = nodeQueue.size();
stack<int> levelVals;
for (int i = 0; i < levelSize; i++) {
BSTNode* node = nodeQueue.front();
nodeQueue.pop();
if (leftToRight) {
levelVals.push(node->val);
} else {
result.push_back(node->val);
}
if (node->left != nullptr) {
nodeQueue.push(node->left);
}
if (node->right != nullptr) {
nodeQueue.push(node->right);
}
}
while (!levelVals.empty()) {
result.push_back(levelVals.top());
levelVals.pop();
}
leftToRight = !leftToRight;
}
return result;
} | [
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Answer for question 2:
//Helping functions
Node* insertRecur( Node* head, Node* insert, bool& taller) {
if (head == nullptr) {
head = insert;
taller = true;
return head;
}
if (insert->data < head->data) {
head->pLeft = insertRecur(head->pLeft, insert, taller);
if (taller) {
if (head->balance == LH) head = leftBalance(head, taller);
else if (head->balance == EH) head->balance = LH;
else {
head->balance = EH;
taller = false;
}
}
}
else {
head->pRight = insertRecur(head->pRight, insert, taller);
if (taller) {
if (head->balance == RH) head = rightBalance(head, taller);
else if (head->balance == EH) head->balance = RH;
else {
head->balance = EH;
taller = false;
}
}
}
return head;
}
Node* leftBalance (Node* head, bool& taller) {
Node* leftTree = head->pLeft;
if (leftTree->balance == LH) {
head->balance = EH;
head = rotateRight(head);
leftTree->balance = EH;
taller = false;
}
else {
Node* rightTree = leftTree->pRight;
if (rightTree->balance == LH) {
head->balance = RH;
leftTree->balance = EH;
}
else if (rightTree->balance == EH) {
leftTree->balance = EH;
head->balance = EH;
}
else {
head->balance = EH;
leftTree->balance = LH;
}
rightTree->balance = EH;
head->pLeft = rotateLeft(leftTree);
head = rotateRight(head);
taller = false;
}
return head;
}
Node* rightBalance (Node* head, bool& taller) {
Node* rightTree = head->pRight;
if (rightTree->balance == RH) {
head->balance = EH;
head = rotateLeft(head);
rightTree->balance = EH;
taller = false;
}
else {
Node* leftTree = rightTree->pLeft;
if (leftTree->balance == RH) {
head->balance = LH;
rightTree->balance = EH;
}
else if (leftTree->balance == EH) {
rightTree->balance = EH;
head->balance = EH;
}
else {
head->balance = EH;
rightTree->balance = RH;
}
leftTree->balance = EH;
head->pRight = rotateRight(rightTree);
head = rotateLeft(head);
taller = false;
}
return head;
}
Node* rotateRight (Node* head) {
Node* temp = head->pLeft;
head->pLeft = temp->pRight;
temp->pRight = head;
return temp;
}
Node* rotateLeft (Node* head) {
Node* temp = head->pRight;
head->pRight = temp->pLeft;
temp->pLeft = head;
return temp;
}
void insert(const T &value){
//TODO
Node* insert = new Node(value);
bool taller = true;
root = insertRecur(root, insert, taller);
}
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Answer for question 1:
//Helping functions
// Node* leftBalance (Node* head, bool& taller) {
// Node* leftTree = head->pLeft;
// if (leftTree->balance == LH) {
// head->balance = EH;
// head = rotateRight(head);
// leftTree->balance = EH;
// taller = false;
// }
// else {
// Node* rightTree = leftTree->pRight;
// if (rightTree->balance == LH) {
// head->balance = RH;
// leftTree->balance = EH;
// }
// else if (rightTree->balance == EH) {
// leftTree->balance = EH;
// head->balance = EH;
// }
// else {
// head->balance = EH;
// leftTree->balance = LH;
// }
// rightTree->balance = EH;
// head->pLeft = rotateLeft(leftTree);
// head = rotateRight(head);
// taller = false;
// }
// return head;
// }
// Node* rightBalance (Node* head, bool& taller) {
// Node* rightTree = head->pRight;
// if (rightTree->balance == RH) {
// head->balance = EH;
// head = rotateLeft(head);
// rightTree->balance = EH;
// taller = false;
// }
// else {
// Node* leftTree = rightTree->pLeft;
// if (leftTree->balance == RH) {
// head->balance = LH;
// rightTree->balance = EH;
// }
// else if (leftTree->balance == EH) {
// rightTree->balance = EH;
// head->balance = EH;
// }
// else {
// head->balance = EH;
// rightTree->balance = RH;
// }
// leftTree->balance = EH;
// head->pRight = rotateRight(rightTree);
// head = rotateLeft(head);
// taller = false;
// }
// return head;
// }
// Node* rotateRight (Node* head) {
// Node* temp = head->pLeft;
// head->pLeft = temp->pRight;
// temp->pRight = head;
// return temp;
// }
// Node* rotateLeft (Node* head) {
// Node* temp = head->pRight;
// head->pRight = temp->pLeft;
// temp->pLeft = head;
// return temp;
// }
Node* deleteRecur(Node* head, const T& value, bool& shorter) {
if (head == nullptr) {
shorter = false;
return head;
}
if (value < head->data) {
head->pLeft = deleteRecur(head->pLeft, value, shorter);
if (shorter) head = deleteRightBalance(head, shorter);
}
else if (value > head->data) {
head->pRight = deleteRecur(head->pRight, value, shorter);
if (shorter) head = deleteLeftBalance(head, shorter);
}
else {
Node* del = head;
if (head->pRight == nullptr) {
Node* temp = head->pLeft;
shorter = true;
delete del;
return temp;
}
else if (head->pLeft == nullptr) {
Node* temp = head->pRight;
shorter = true;
delete del;
return temp;
}
else {
Node* newHead = head->pLeft;
while (newHead->pRight != nullptr) {
newHead = newHead->pRight;
}
head->data = newHead->data;
head->pLeft = deleteRecur(root->pLeft, newHead->data, shorter);
if (shorter) head= deleteRightBalance(root, shorter);
}
}
return head;
}
Node* deleteRightBalance (Node* head, bool& shorter) {
if (head->balance == LH) head->balance = EH;
else if (head->balance == EH) {
head->balance = RH;
shorter = false;
}
else {
Node* rightTree = head->pRight;
if (rightTree->balance == LH) {
Node* leftTree = rightTree->pLeft;
if (leftTree->balance == LH) {
rightTree->balance = RH;
head->balance = EH;
}
else if (leftTree->balance == EH) {
head->balance = LH;
rightTree->balance = EH;
}
else {
head->balance = LH;
rightTree->balance = EH;
}
leftTree->balance = EH;
head->pRight = rotateRight(rightTree);
}
else {
if (rightTree->balance != EH) {
head->balance = EH;
rightTree->balance = EH;
}
else {
head->balance = RH;
rightTree->balance = LH;
shorter = false;
}
head = rotateLeft(head);
}
}
return head;
}
Node* deleteLeftBalance (Node* head, bool& shorter) {
if (head->balance == RH) head->balance = EH;
else if (head->balance == EH) {
head->balance = LH;
shorter = false;
}
else {
Node* leftTree = head->pLeft;
if (leftTree->balance == RH) {
Node* rightTree = leftTree->pRight;
if (rightTree->balance == RH) {
leftTree->balance = LH;
head->balance = EH;
}
else if (rightTree->balance == EH) {
head->balance = RH;
leftTree->balance = EH;
}
else {
head->balance = RH;
leftTree->balance = EH;
}
rightTree->balance = EH;
head->pLeft = rotateLeft(leftTree);
}
else {
if (leftTree->balance != EH) {
head->balance = EH;
leftTree->balance = EH;
}
else {
head->balance = LH;
leftTree->balance = RH;
shorter = false;
}
head = rotateRight(head);
}
}
return head;
}
void remove(const T &value){
//TODO
bool shorter = false;
root = deleteRecur(root, value, shorter);
}
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Answer for question 1:
//Helping functions
// Node* leftBalance (Node* head, bool& taller) {
// Node* leftTree = head->pLeft;
// if (leftTree->balance == LH) {
// head->balance = EH;
// head = rotateRight(head);
// leftTree->balance = EH;
// taller = false;
// }
// else {
// Node* rightTree = leftTree->pRight;
// if (rightTree->balance == LH) {
// head->balance = RH;
// leftTree->balance = EH;
// }
// else if (rightTree->balance == EH) {
// leftTree->balance = EH;
// head->balance = EH;
// }
// else {
// head->balance = EH;
// leftTree->balance = LH;
// }
// rightTree->balance = EH;
// head->pLeft = rotateLeft(leftTree);
// head = rotateRight(head);
// taller = false;
// }
// return head;
// }
// Node* rightBalance (Node* head, bool& taller) {
// Node* rightTree = head->pRight;
// if (rightTree->balance == RH) {
// head->balance = EH;
// head = rotateLeft(head);
// rightTree->balance = EH;
// taller = false;
// }
// else {
// Node* leftTree = rightTree->pLeft;
// if (leftTree->balance == RH) {
// head->balance = LH;
// rightTree->balance = EH;
// }
// else if (leftTree->balance == EH) {
// rightTree->balance = EH;
// head->balance = EH;
// }
// else {
// head->balance = EH;
// rightTree->balance = RH;
// }
// leftTree->balance = EH;
// head->pRight = rotateRight(rightTree);
// head = rotateLeft(head);
// taller = false;
// }
// return head;
// }
// Node* rotateRight (Node* head) {
// Node* temp = head->pLeft;
// head->pLeft = temp->pRight;
// temp->pRight = head;
// return temp;
// }
// Node* rotateLeft (Node* head) {
// Node* temp = head->pRight;
// head->pRight = temp->pLeft;
// temp->pLeft = head;
// return temp;
// }
Node* deleteRecur(Node* head, const T& value, bool& shorter) {
if (head == nullptr) {
shorter = false;
return head;
}
if (value < head->data) {
head->pLeft = deleteRecur(head->pLeft, value, shorter);
if (shorter) head = deleteRightBalance(head, shorter);
}
else if (value > head->data) {
head->pRight = deleteRecur(head->pRight, value, shorter);
if (shorter) head = deleteLeftBalance(head, shorter);
}
else {
Node* del = head;
if (head->pRight == nullptr) {
Node* temp = head->pLeft;
shorter = true;
delete del;
return temp;
}
else if (head->pLeft == nullptr) {
Node* temp = head->pRight;
shorter = true;
delete del;
return temp;
}
else {
Node* newHead = head->pLeft;
while (newHead->pRight != nullptr) {
newHead = newHead->pRight;
}
head->data = newHead->data;
head->pLeft = deleteRecur(root->pLeft, newHead->data, shorter);
if (shorter) head= deleteRightBalance(root, shorter);
}
}
return head;
}
Node* deleteRightBalance (Node* head, bool& shorter) {
if (head->balance == LH) head->balance = EH;
else if (head->balance == EH) {
head->balance = RH;
shorter = false;
}
else {
Node* rightTree = head->pRight;
if (rightTree->balance == LH) {
Node* leftTree = rightTree->pLeft;
if (leftTree->balance == LH) {
rightTree->balance = RH;
head->balance = EH;
}
else if (leftTree->balance == EH) {
head->balance = LH;
rightTree->balance = EH;
}
else {
head->balance = LH;
rightTree->balance = EH;
}
leftTree->balance = EH;
head->pRight = rotateRight(rightTree);
}
else {
if (rightTree->balance != EH) {
head->balance = EH;
rightTree->balance = EH;
}
else {
head->balance = RH;
rightTree->balance = LH;
shorter = false;
}
head = rotateLeft(head);
}
}
return head;
}
Node* deleteLeftBalance (Node* head, bool& shorter) {
if (head->balance == RH) head->balance = EH;
else if (head->balance == EH) {
head->balance = LH;
shorter = false;
}
else {
Node* leftTree = head->pLeft;
if (leftTree->balance == RH) {
Node* rightTree = leftTree->pRight;
if (rightTree->balance == RH) {
leftTree->balance = LH;
head->balance = EH;
}
else if (rightTree->balance == EH) {
head->balance = RH;
leftTree->balance = EH;
}
else {
head->balance = RH;
leftTree->balance = EH;
}
rightTree->balance = EH;
head->pLeft = rotateLeft(leftTree);
}
else {
if (leftTree->balance != EH) {
head->balance = EH;
leftTree->balance = EH;
}
else {
head->balance = LH;
leftTree->balance = RH;
shorter = false;
}
head = rotateRight(head);
}
}
return head;
}
void remove(const T &value){
//TODO
bool shorter = true;
root = deleteRecur(root, value, shorter);
}
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Answer for question 1:
//Helping functions
// Node* leftBalance (Node* head, bool& taller) {
// Node* leftTree = head->pLeft;
// if (leftTree->balance == LH) {
// head->balance = EH;
// head = rotateRight(head);
// leftTree->balance = EH;
// taller = false;
// }
// else {
// Node* rightTree = leftTree->pRight;
// if (rightTree->balance == LH) {
// head->balance = RH;
// leftTree->balance = EH;
// }
// else if (rightTree->balance == EH) {
// leftTree->balance = EH;
// head->balance = EH;
// }
// else {
// head->balance = EH;
// leftTree->balance = LH;
// }
// rightTree->balance = EH;
// head->pLeft = rotateLeft(leftTree);
// head = rotateRight(head);
// taller = false;
// }
// return head;
// }
// Node* rightBalance (Node* head, bool& taller) {
// Node* rightTree = head->pRight;
// if (rightTree->balance == RH) {
// head->balance = EH;
// head = rotateLeft(head);
// rightTree->balance = EH;
// taller = false;
// }
// else {
// Node* leftTree = rightTree->pLeft;
// if (leftTree->balance == RH) {
// head->balance = LH;
// rightTree->balance = EH;
// }
// else if (leftTree->balance == EH) {
// rightTree->balance = EH;
// head->balance = EH;
// }
// else {
// head->balance = EH;
// rightTree->balance = RH;
// }
// leftTree->balance = EH;
// head->pRight = rotateRight(rightTree);
// head = rotateLeft(head);
// taller = false;
// }
// return head;
// }
// Node* rotateRight (Node* head) {
// Node* temp = head->pLeft;
// head->pLeft = temp->pRight;
// temp->pRight = head;
// return temp;
// }
// Node* rotateLeft (Node* head) {
// Node* temp = head->pRight;
// head->pRight = temp->pLeft;
// temp->pLeft = head;
// return temp;
// }
Node* deleteRecur(Node* head, const T& value, bool& shorter) {
if (head == nullptr) {
shorter = false;
return head;
}
if (value < head->data) {
head->pLeft = deleteRecur(head->pLeft, value, shorter);
if (shorter) head = deleteRightBalance(head, shorter);
}
else if (value > head->data) {
head->pRight = deleteRecur(head->pRight, value, shorter);
if (shorter) head = deleteLeftBalance(head, shorter);
}
else {
Node* del = head;
if (head->pRight == nullptr) {
Node* temp = head->pLeft;
shorter = true;
delete del;
return temp;
}
else if (head->pLeft == nullptr) {
Node* temp = head->pRight;
shorter = true;
delete del;
return temp;
}
Node* newHead = head->pLeft;
while (newHead->pRight != nullptr) {
newHead = newHead->pRight;
}
head->data = newHead->data;
head->pLeft = deleteRecur(root->pLeft, newHead->data, shorter);
if (shorter) head= deleteRightBalance(root, shorter);
}
return head;
}
Node* deleteRightBalance (Node* head, bool& shorter) {
if (head->balance == LH) head->balance = EH;
else if (head->balance == EH) {
head->balance = RH;
shorter = false;
}
else {
Node* rightTree = head->pRight;
if (rightTree->balance == LH) {
Node* leftTree = rightTree->pLeft;
if (leftTree->balance == LH) {
rightTree->balance = RH;
head->balance = EH;
}
else if (leftTree->balance == EH) {
head->balance = LH;
rightTree->balance = EH;
}
else {
head->balance = LH;
rightTree->balance = EH;
}
leftTree->balance = EH;
head->pRight = rotateRight(rightTree);
}
else {
if (rightTree->balance != EH) {
head->balance = EH;
rightTree->balance = EH;
}
else {
head->balance = RH;
rightTree->balance = LH;
shorter = false;
}
head = rotateLeft(head);
}
}
return head;
}
Node* deleteLeftBalance (Node* head, bool& shorter) {
if (head->balance == RH) head->balance = EH;
else if (head->balance == EH) {
head->balance = LH;
shorter = false;
}
else {
Node* leftTree = head->pLeft;
if (leftTree->balance == RH) {
Node* rightTree = leftTree->pRight;
if (rightTree->balance == RH) {
leftTree->balance = LH;
head->balance = EH;
}
else if (rightTree->balance == EH) {
head->balance = RH;
leftTree->balance = EH;
}
else {
head->balance = RH;
leftTree->balance = EH;
}
rightTree->balance = EH;
head->pLeft = rotateLeft(leftTree);
}
else {
if (leftTree->balance != EH) {
head->balance = EH;
leftTree->balance = EH;
}
else {
head->balance = LH;
leftTree->balance = RH;
shorter = false;
}
head = rotateRight(head);
}
}
return head;
}
void remove(const T &value){
//TODO
bool shorter = true;
root = deleteRecur(root, value, shorter);
}
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Answer for question 1:
//Helping functions
// Node* leftBalance (Node* head, bool& taller) {
// Node* leftTree = head->pLeft;
// if (leftTree->balance == LH) {
// head->balance = EH;
// head = rotateRight(head);
// leftTree->balance = EH;
// taller = false;
// }
// else {
// Node* rightTree = leftTree->pRight;
// if (rightTree->balance == LH) {
// head->balance = RH;
// leftTree->balance = EH;
// }
// else if (rightTree->balance == EH) {
// leftTree->balance = EH;
// head->balance = EH;
// }
// else {
// head->balance = EH;
// leftTree->balance = LH;
// }
// rightTree->balance = EH;
// head->pLeft = rotateLeft(leftTree);
// head = rotateRight(head);
// taller = false;
// }
// return head;
// }
// Node* rightBalance (Node* head, bool& taller) {
// Node* rightTree = head->pRight;
// if (rightTree->balance == RH) {
// head->balance = EH;
// head = rotateLeft(head);
// rightTree->balance = EH;
// taller = false;
// }
// else {
// Node* leftTree = rightTree->pLeft;
// if (leftTree->balance == RH) {
// head->balance = LH;
// rightTree->balance = EH;
// }
// else if (leftTree->balance == EH) {
// rightTree->balance = EH;
// head->balance = EH;
// }
// else {
// head->balance = EH;
// rightTree->balance = RH;
// }
// leftTree->balance = EH;
// head->pRight = rotateRight(rightTree);
// head = rotateLeft(head);
// taller = false;
// }
// return head;
// }
// Node* rotateRight (Node* head) {
// Node* temp = head->pLeft;
// head->pLeft = temp->pRight;
// temp->pRight = head;
// return temp;
// }
// Node* rotateLeft (Node* head) {
// Node* temp = head->pRight;
// head->pRight = temp->pLeft;
// temp->pLeft = head;
// return temp;
// }
Node* deleteRecur(Node*& head, const T& value, bool& shorter) {
if (head == nullptr) {
shorter = false;
return head;
}
if (value < head->data) {
head->pLeft = deleteRecur(head->pLeft, value, shorter);
if (shorter) head = deleteRightBalance(head, shorter);
}
else if (value > head->data) {
head->pRight = deleteRecur(head->pRight, value, shorter);
if (shorter) head = deleteLeftBalance(head, shorter);
}
else {
Node* del = head;
if (head->pRight == nullptr) {
Node* temp = head->pLeft;
shorter = true;
delete del;
return temp;
}
else if (head->pLeft == nullptr) {
Node* temp = head->pRight;
shorter = true;
delete del;
return temp;
}
else {
Node* newHead = head->pLeft;
while (newHead->pRight != nullptr) {
newHead = newHead->pRight;
}
head->data = newHead->data;
head->pLeft = deleteRecur(root->pLeft, newHead->data, shorter);
if (shorter) head= deleteRightBalance(root, shorter);
}
}
return head;
}
Node* deleteRightBalance (Node*& head, bool& shorter) {
if (head->balance == LH) head->balance = EH;
else if (head->balance == EH) {
head->balance = RH;
shorter = false;
}
else {
Node* rightTree = head->pRight;
if (rightTree->balance == LH) {
Node* leftTree = rightTree->pLeft;
if (leftTree->balance == LH) {
rightTree->balance = RH;
head->balance = EH;
}
else if (leftTree->balance == EH) {
head->balance = LH;
rightTree->balance = EH;
}
else {
head->balance = LH;
rightTree->balance = EH;
}
leftTree->balance = EH;
head->pRight = rotateRight(rightTree);
}
else {
if (rightTree->balance != EH) {
head->balance = EH;
rightTree->balance = EH;
}
else {
head->balance = RH;
rightTree->balance = LH;
shorter = false;
}
head = rotateLeft(head);
}
}
return head;
}
Node* deleteLeftBalance (Node*& head, bool& shorter) {
if (head->balance == RH) head->balance = EH;
else if (head->balance == EH) {
head->balance = LH;
shorter = false;
}
else {
Node* leftTree = head->pLeft;
if (leftTree->balance == RH) {
Node* rightTree = leftTree->pRight;
if (rightTree->balance == RH) {
leftTree->balance = LH;
head->balance = EH;
}
else if (rightTree->balance == EH) {
head->balance = RH;
leftTree->balance = EH;
}
else {
head->balance = RH;
leftTree->balance = EH;
}
rightTree->balance = EH;
head->pLeft = rotateLeft(leftTree);
}
else {
if (leftTree->balance != EH) {
head->balance = EH;
leftTree->balance = EH;
}
else {
head->balance = LH;
leftTree->balance = RH;
shorter = false;
}
head = rotateRight(head);
}
}
return head;
}
void remove(const T &value){
//TODO
bool shorter = true;
root = deleteRecur(root, value, shorter);
}
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Answer for question 1:
//Helping functions
Node* AVLDelete(Node* &root,T const &value,bool &shorter, bool &success){
if (root== NULL) {
shorter = false;
success = false;
return NULL;
}
if (value < root->data) {
root->pLeft = AVLDelete(root->pLeft, value, shorter, success);
if (shorter)
root = deleteRightBalance(root, shorter);
}
else if (value > root->data){
root->pRight = AVLDelete(root->pRight,value, shorter, success);
if (shorter)
root = deleteLeftBalance(root, shorter);
}
else{
Node*removeNode=root;
if (root->pRight==NULL){
Node* newRoot = root->pLeft;
success = true;
shorter = true;
delete removeNode;
return newRoot;
}
else if (root->pLeft==NULL){
Node* newRoot = root->pRight;
success = true;
shorter = true;
delete removeNode;
return newRoot;
}
Node* exchPtr = root->pLeft;
while (exchPtr->pRight!=NULL)
exchPtr = exchPtr->pRight;
root->data = exchPtr->data;
root->pLeft = AVLDelete(root->pLeft, exchPtr->data, shorter, success);
if (shorter) root = deleteRightBalance(root, shorter);
}
return root;
}
Node* deleteRightBalance (Node* &root,bool &shorter){
if (root->balance== LH)
root->balance = EH;
else if (root->balance== EH){
root->balance = RH;
shorter = false;
}
else{
Node*rightTree = root->pRight;
if (rightTree->balance== LH){
Node* leftTree = rightTree->pLeft;
if (leftTree->balance== LH){
rightTree->balance = RH;
root->balance = EH;
}
else if (leftTree->balance== EH){
root->balance = LH;
rightTree->balance = EH;
}
else{
root->balance = LH;
rightTree->balance = EH;
}
leftTree->balance = EH;
root->pRight = rotateRight(rightTree);
}
else{
if (rightTree->balance!= EH) {
root->balance = EH;
rightTree->balance = EH;
}
else{
root->balance = RH;
rightTree->balance = LH;
shorter = false;
}
root = rotateLeft(root);
}
}
return root;
}
Node* deleteLeftBalance (Node* &root,bool &shorter){
if (root->balance== RH)
root->balance = EH;
else if (root->balance== EH){
root->balance = LH;
shorter = false;
}
else{
Node*leftTree = root->pLeft;
if (leftTree->balance== RH){
Node* rightTree = leftTree->pRight;
if (rightTree->balance== RH){
leftTree->balance = LH;
root->balance = EH;
}
else if (rightTree->balance== EH){
root->balance = RH;
leftTree->balance = EH;
}
else{
root->balance = RH;
leftTree->balance = EH;
}
rightTree->balance = EH;
root->pLeft = rotateLeft(leftTree);
}
else{
if (leftTree->balance!= EH) {
root->balance = EH;
leftTree->balance = EH;
}
else{
root->balance = LH;
leftTree->balance = RH;
shorter = false;
}
root = rotateRight(root);
}
}
return root;
}
void remove(const T &value){
//TODO
bool shorter=true;
bool success=true;
root=AVLDelete(root,value,shorter,success);
}
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Answer for question 3:
void printInRecur (Node* head) {
if (head == nullptr) return;
printInRecur(head->pLeft);
cout << head->data <<" ";
printInRecur(head->pRight);
}
void printInorder(){
//TODO
printInRecur(root);
}
bool searchRe(Node* head, const T&value) {
if (head == nullptr) return false;
if (head->data == value) return true;
return searchRe(head->pLeft, value) || searchRe(head->pRight, value);
}
bool search(const T &value){
//TODO
return searchRe(root, value);
} | [
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Answer for question 4:
/// BEGIN STUDENT CODE
string toString() {
stringstream ss;
ss<<"["<<"("<<numEntries<<")";
for (int i=0;i<numEntries;i++){
ss<<entries[i].toString();
}
ss<<"]";
// Fill your code here
return ss.str();
}
/// END STUDENT CODE | [
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Answer for question 5:
/// BEGIN STUDENT CODE
// ======================================
// You may need some helping functions here
string Pre(Node*root){
string res;
res=root->toString();
if (root->firstPtr!=nullptr) {
res+=" "+Pre(root->firstPtr);
for (int i=0;i<root->numEntries;i++){
res+=" "+Pre(root->entries[i].rightPtr);
}
}
return res;
}
string toStringPreOrder() {
return Pre(root);
}
/// END STUDENT CODE | [
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Answer for question 8:
void splay(Node* p) {
while (p != root) {
if (p->pParent == root) {
// Zig operation
if (p == p->pParent->pLeft) {
rotateRight(p->pParent);
} else {
rotateLeft(p->pParent);
}
} else {
Node* parent = p->pParent;
Node* grandparent = parent->pParent;
if (p == parent->pLeft && parent == grandparent->pLeft) {
// Zig-Zig operation
rotateRight(grandparent);
rotateRight(parent);
} else if (p == parent->pRight && parent == grandparent->pRight) {
// Zig-Zig operation
rotateLeft(grandparent);
rotateLeft(parent);
} else if (p == parent->pRight && parent == grandparent->pLeft) {
// Zig-Zag operation
rotateLeft(parent);
rotateRight(grandparent);
} else {
// Zig-Zag operation
rotateRight(parent);
rotateLeft(grandparent);
}
}
}
}
void rotateLeft(Node* x) {
Node* y = x->pRight;
x->pRight = y->pLeft;
if (y->pLeft != nullptr) {
y->pLeft->pParent = x;
}
y->pParent = x->pParent;
if (x->pParent == nullptr) {
root = y;
} else if (x == x->pParent->pLeft) {
x->pParent->pLeft = y;
} else {
x->pParent->pRight = y;
}
y->pLeft = x;
x->pParent = y;
}
void rotateRight(Node* x) {
Node* y = x->pLeft;
x->pLeft = y->pRight;
if (y->pRight != nullptr) {
y->pRight->pParent = x;
}
y->pParent = x->pParent;
if (x->pParent == nullptr) {
root = y;
} else if (x == x->pParent->pLeft) {
x->pParent->pLeft = y;
} else {
x->pParent->pRight = y;
}
y->pRight = x;
x->pParent = y;
}
void insert(int val) {
if (root == nullptr) {
root = new Node(val);
return;
}
Node* current = root;
Node* parent = nullptr;
while (current != nullptr) {
parent = current;
if (val < current->val) {
current = current->pLeft;
} else if (val >= current->val) {
current = current->pRight;
}
}
current = new Node(val);
current->pParent = parent;
if (val < parent->val) {
parent->pLeft = current;
} else {
parent->pRight = current;
}
splay(current);
} | [
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Answer for question 9:
#include "math.h"
int binarySearch(int arr[], int left, int right, int x)
{
if (left > right) return -1;
float mid = floor((right + left) /2 );
cout << "We traverse on index: " << int(mid) << endl;
if (arr[int(mid)] == x) {
return mid;
}
else if (x > arr[int(mid)]) return binarySearch(arr,int(mid)+1,right,x);
else return binarySearch(arr,left,int(mid)-1,x);
} | [
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Answer for question 11:
#include "math.h"
int jumpSearch(int arr[], int x, int n) {
// TODO: print the traversed indexes and return the index of value x in array if x is found, otherwise, return -1.
int step = sqrt(n);
int count = 0;
for (; count < n; count+= step) {
cout << count << " ";
if (arr[count] == x) return count;
if (arr[count] > x) break;
}
for (int i = count - step + 1; i < count;i++) {
cout << i <<" ";
if (arr[i] == x) return i;
}
return -1;
} | [
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Answer for question 9:
#include "math.h"
int binarySearch(int arr[], int left, int right, int x)
{
if (left > right) return -1;
float mid = floor((right + left) /2 );
cout << "We traverse on index: " << int(mid) << endl;
if (arr[int(mid)] == x) {
return mid;
}
else if (x > arr[int(mid)]) return binarySearch(arr,int(mid)+1,right,x);
else return binarySearch(arr,left,int(mid)-1,x);
} | [
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Answer for question 11:
#include "math.h"
int jumpSearch(int arr[], int x, int n) {
// TODO: print the traversed indexes and return the index of value x in array if x is found, otherwise, return -1.
int step = sqrt(n);
int count = 0;
for (; count < n; count+= step) {
cout << count << " ";
if (arr[count] == x) return count;
if (arr[count] > x) break;
}
for (int i = count - step + 1; i < count;i++) {
cout << i <<" ";
if (arr[i] == x) return i;
}
return -1;
} | [
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Answer for question 10:
int interpolationSearch(int arr[], int left, int right, int x)
{
int pos = left + (((double)(right - left) / (arr[right] - arr[left])) * (x - arr[left]));
if (pos < 0) return -1;
cout << "We traverse on index: " << pos << endl;
if (arr[pos] == x) return pos;
if (right < left) {
return -1;
}
else if (x > arr[pos] ) return interpolationSearch(arr, pos+1, right, x);
else return interpolationSearch(arr, left, pos-1, x);
} | [
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Answer for question 10:
int interpolationSearch(int arr[], int left, int right, int x)
{
if (arr[left] > x || arr[right] < x) return -1;
int pos = left + (((double)(right - left) / (arr[right] - arr[left])) * (x - arr[left]));
if (pos < 0) return -1;
cout << "We traverse on index: " << pos << endl;
if (arr[pos] == x) return pos;
if (right < left) {
return -1;
}
else if (x > arr[pos] ) return interpolationSearch(arr, pos+1, right, x);
else return interpolationSearch(arr, left, pos-1, x);
} | [
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Answer for question 10:
int interpolationSearch(int arr[], int left, int right, int x)
{
if (arr[left] > x || arr[right] < x) return -1;
int pos = left + (((double)(right - left) / (arr[right] - arr[left])) * (x - arr[left]));
if (pos < 0) return -1;
cout << "We traverse on index: " << pos << endl;
if (arr[pos] == x) return pos;
if (right < left) {
return -1;
}
else if (x > arr[pos] ) return interpolationSearch(arr, pos+1, right, x);
else return interpolationSearch(arr, left, pos-1, x);
} | [
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Answer for question 12:
bool findPairs(int arr[], int n, pair<int,int>& pair1, pair<int, int>& pair2)
{
// TODO: If there are two pairs satisfy the condition, assign their values to pair1, pair2 and return true. Otherwise, return false.
map<int, pair<int, int> > Hash;
for (int i = 0; i < n; ++i)
{
for (int j = i + 1; j < n; ++j)
{
int sum = arr[i] + arr[j];
if (Hash.find(sum) == Hash.end())
Hash[sum] = make_pair(i, j);
else{
pair1=Hash[sum];
pair1=make_pair(arr[pair1.first],arr[pair1.second]);
pair2=make_pair(arr[i],arr[j]);
return true;
}
}
}
return false;
} | [
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Answer for question 1:
template<class T>
int Heap<T>::size(){
return count;
}
template<class T>
bool Heap<T>::isEmpty(){
return !count;
}
template<class T>
T Heap<T>::peek(){
if (count == 0) return -1;
return elements[0];
}
template<class T>
bool Heap<T>::contains(T item){
bool found = false;
for (int i = 0;i < count; i++) {
if (elements[i] == item) found = true;
}
return found;
}
template<class T>
bool Heap<T>::pop(){
elements[0] = elements[--count];
reheapDown(0);
return true;
} | [
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Answer for question 2:
template<class T>
void Heap<T>::push(T item){
if (count == capacity) ensureCapacity(capacity*2);
elements[count] = item;
reheapUp(count);
count++;
}
template<class T>
void Heap<T>::ensureCapacity(int minCapacity){
capacity = minCapacity;
T*copy = new T[capacity];
for (int i = 0;i < count; i++){
copy[i] = elements[i];
}
delete[] elements;
elements=copy;
}
template<class T>
void Heap<T>::reheapUp(int position){
if (position > 0){
int parent= (position - 1)/2;
if (elements[parent] < elements[position]){
int temp = elements[parent];
elements[parent] = elements[position];
elements[position] = temp;
reheapUp(parent);
}
}
} | [
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Answer for question 3:
void reheapDown(int maxHeap[], int numberOfElements, int index)
{
int left = index*2+1;
int right = index*2+2;
int large = 0;
if (left < numberOfElements){
if ((right < numberOfElements) && (maxHeap[right] > maxHeap[left])) large=right;
else large=left;
if (maxHeap[large] > maxHeap[index]) {
int tmp = maxHeap[large];
maxHeap[large] = maxHeap[index];
maxHeap[index] = tmp;
reheapDown(maxHeap,numberOfElements,large);
}
}
}
void reheapUp(int maxHeap[], int numberOfElements, int index)
{
if (index > 0 && index < numberOfElements){
int parent=(index-1)/2;
if (maxHeap[parent] < maxHeap[index]){
int temp = maxHeap[parent];
maxHeap[parent] = maxHeap[index];
maxHeap[index] = temp;
reheapUp(maxHeap,numberOfElements,parent);
}
}
} | [
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Answer for question 4:
template<class T>
int Heap<T>::getItem(T item) {
// TODO: return the index of item in heap
for (int i = 0;i < count;i++){
if (elements[i]==item) return i;
}
return -1;
}
template<class T>
void Heap<T>::remove(T item) {
// TODO: remove the element with value equal to item
int idx=getItem(item);
if (idx != -1) {
elements[idx] = elements[count-1];
count = count-1;
reheapDown(idx);
reheapUp(idx);
}
}
template<class T>
void Heap<T>::clear() {
// TODO: delete all elements in heap
delete[] elements;
count= 0;
elements= new T[capacity];
} | [
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Answer for question 5:
//Helping functions go here
void heapify (int arr[], int n, int i) {
int largest = i;
int left = 2*i + 1;
int right = 2*i +2;
if (left < n && arr[left] > arr[largest]) largest = left;
if (right < n && arr[right] > arr[largest]) largest = right;
if (largest != i ) {
int tmp = arr[i];
arr[i] = arr[largest];
arr[largest] = tmp;
heapify(arr,n,largest);
}
}
static void heapSort(T* start, T* end){
//TODO
Sorting A;
long count = end - start;
for (int i = count /2; i >= 0;i--) {
A.heapify(start, count,i);
}
for (int i = count - 1; i >= 0;i--) {
int tmp = start[0];
start[0] = start[i];
start[i] = tmp;
A.heapify(start, i,0);
}
Sorting<T>::printArray(start,end);
} | [
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