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Answer for question 1:
template<class T>
int Heap<T>::size(){
return count;
}
template<class T>
bool Heap<T>::isEmpty(){
return count == 0;
}
template<class T>
T Heap<T>::peek(){
if (isEmpty()) {
return -1;
}
return elements[0];
}
template<class T>
bool Heap<T>::contains(T item){
for (int i = 0; i < count; i++) {
if (elements[i] == item) {
return true;
}
}
return false;
}
template<class T>
bool Heap<T>::pop(){
if (isEmpty()) {
return false;
}
T root = elements[0];
elements[0] = elements[count - 1];
count--;
reheapDown(0);
return true;
} | [
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Answer for question 1:
template<class T>
int Heap<T>::size(){
return count;
}
template<class T>
bool Heap<T>::isEmpty(){
return count == 0;
}
template<class T>
T Heap<T>::peek(){
if (isEmpty()) {
return -1;
}
return elements[0];
}
template<class T>
bool Heap<T>::contains(T item){
for (int i = 0; i < count; i++) {
if (elements[i] == item) {
return true;
}
}
return false;
}
template<class T>
bool Heap<T>::pop(){
if (isEmpty()) {
return false;
}
T maxElement = elements[0];
elements[0] = elements[count - 1];
count--;
reheapDown(0);
return true;
} | [
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Answer for question 1:
template<class T>
int Heap<T>::size(){
return count;
}
template<class T>
bool Heap<T>::isEmpty(){
return count == 0;
}
template<class T>
T Heap<T>::peek(){
if (isEmpty()) {
return -1;
}
return elements[0];
}
template<class T>
bool Heap<T>::contains(T item){
for (int i = 0; i < count; i++) {
if (elements[i] == item) {
return true;
}
}
return false;
}
template<class T>
bool Heap<T>::pop(){
if (isEmpty()) {
return false;
}
elements[0] = elements[count - 1];
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(2 * capacity);
}
count++;
elements[count - 1] = item;
reheapUp(count - 1);
}
template<class T>
void Heap<T>::ensureCapacity(int minCapacity){
if (capacity < minCapacity) {
T* temp = new T[minCapacity];
for (int i = 0; i < count; i++) {
temp[i] = elements[i];
}
delete[] elements;
elements = temp;
capacity = minCapacity;
}
}
template<class T>
void Heap<T>::reheapUp(int position){
while (position > 0 && elements[position] > elements[parent(position)]) {
swap(position, parent(position));
position = parent(position);
}
}
template<class T>
int Heap<T>::parent(int position) {
return (position - 1) / 2;
}
template<class T>
void Heap<T>::swap(int i, int j) {
T temp = elements[i];
elements[i] = elements[j];
elements[j] = temp;
} | [
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Answer for question 2:
template<class T>
void Heap<T>::push(T item){
if (count == capacity) {
ensureCapacity(2 * capacity);
}
count++;
elements[count - 1] = item;
reheapUp(count - 1);
}
template<class T>
void Heap<T>::ensureCapacity(int minCapacity){
if (capacity < minCapacity) {
T* temp = new T[minCapacity];
for (int i = 0; i < count; i++) {
temp[i] = elements[i];
}
delete[] elements;
elements = temp;
capacity = minCapacity;
}
}
template<class T>
void Heap<T>::reheapUp(int position){
}
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Answer for question 3:
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 index = getItem(item);
if (index == -1) {
return;
}
swap(index, count - 1);
count--;
reheapDown(index);
}
template<class T>
void Heap<T>::clear() {
// TODO: delete all elements in heap
// then reallocate memory as initial state
while (count > 0) {
remove(elements[--count]);
}
count = 0;
ensureCapacity(1);
}
template<class T>
void Heap<T>::swap(int i, int j) {
T temp = elements[i];
elements[i] = elements[j];
elements[j] = temp;
} | [
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Answer for question 3:
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
}
template<class T>
void Heap<T>::clear() {
// TODO: delete all elements in heap
// then reallocate memory as initial state
while (count > 0) {
remove(elements[--count]);
}
count = 0;
ensureCapacity(1);
}
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Answer for question 4:
//Helping functions go here
static void heapSort(T* start, T* end){
//TODO
Heap<T> heap(end - start);
for (int i = start - heap.elements; i < end - heap.elements; i++) {
heap.push(i);
}
while (heap.count > 0) {
T item = heap.pop();
heap.elements[--end] = item;
}
Sorting<T>::printArray(start,end);
} | [
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Answer for question 4:
//Helping functions go here
#include <Heap.h>
static void heapSort(T* start, T* end){
//TODO
Heap<T> heap(end - start);
for (int i = start - heap.elements; i < end - heap.elements; i++) {
heap.push(i);
}
while (heap.count > 0) {
T item = heap.pop();
heap.elements[--end] = item;
}
Sorting<T>::printArray(start,end);
} | [
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Answer for question 4:
//Helping functions go here
#include "Heap.h"
static void heapSort(T* start, T* end){
//TODO
Heap<T> heap(end - start);
for (int i = start - heap.elements; i < end - heap.elements; i++) {
heap.push(i);
}
while (heap.count > 0) {
T item = heap.pop();
heap.elements[--end] = item;
}
Sorting<T>::printArray(start,end);
} | [
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Answer for question 4:
//Helping functions go here
static void heapSort(T* start, T* end){
//TODO
Sorting<T>::printArray(start,end);
} | [
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Answer for question 6:
int binarySearch(int arr[], int left, int right, int x)
{
if (left > right) {
// Element is not present in array
return -1;
}
int middle = floor((left + right) / 2);
cout << "We traverse on index: " << middle << endl;
if (arr[middle] == x) {
// Element is present at middle
return middle;
}
if (arr[middle] > x) {
// Search left half
return binarySearch(arr, left, middle - 1, x);
}
// Search right half
return binarySearch(arr, middle + 1, right, x);
} | [
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Answer for question 6:
int binarySearch(int arr[], int left, int right, int x)
{
if (left > right) {
return -1;
}
int middle = floor((left + right) / 2);
cout << "We traverse on index: " << middle << endl;
if (arr[middle] == x) {
return middle;
}
if (arr[middle] > x) {
return binarySearch(arr, left, middle - 1, x);
}
return binarySearch(arr, middle + 1, right, x);
} | [
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Answer for question 6:
int binarySearch(int arr[], int left, int right, int x)
{
if (left > right) {
return -1;
}
int middle = floor((left + right) / 2);
cout << "We traverse on index: " << middle << endl;
if (arr[middle] == x) {
return middle;
}
if (arr[middle] > x) {
return binarySearch(arr, left, middle - 1, x);
}
return binarySearch(arr, middle + 1, right, x);
} | [
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Answer for question 8:
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 m = sqrt(n);
int prev = 0, curr = 0;
while (arr[min(curr + m - 1, n - 1)] <= x) {
if (arr[curr] == x) {
// Element is present at index curr
cout << "We traverse on index: " << curr << endl;
return curr;
}
if (curr + m > n) {
// Element is not present in array
cout << "We traverse on index: " << n - 1 << endl;
return -1;
}
cout << "We traverse on index: " << curr << endl;
prev = curr;
curr += m;
}
// Linear search from the last index of the current block
for (int I = prev; I < curr; i++) {
cout << "We traverse on index: " << i << endl;
if (arr[i] == x) {
// Element is present at index i
return i;
}
}
// Element is not present in array
cout << "We traverse on index: " << n - 1 << endl;
return -1;
} | [
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Answer for question 8:
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 m = sqrt(n);
int prev = 0, curr = 0;
while (arr[min(curr + m - 1, n - 1)] <= x) {
if (arr[curr] == x) {
// Element is present at index curr
cout << "We traverse on index: " << curr << endl;
return curr;
}
if (curr + m > n) {
// Element is not present in array
cout << "We traverse on index: " << n - 1 << endl;
return -1;
}
cout << "We traverse on index: " << curr << endl;
prev = curr;
curr += m;
}
// Linear search from the last index of the current block
for (int i = prev; I < curr; i++) {
cout << "We traverse on index: " << i << endl;
if (arr[i] == x) {
// Element is present at index i
return i;
}
}
// Element is not present in array
cout << "We traverse on index: " << n - 1 << endl;
return -1;
} | [
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Answer for question 8:
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 m = sqrt(n);
int prev = 0, curr = 0;
while (arr[min(curr + m - 1, n - 1)] <= x) {
if (arr[curr] == x) {
// Element is present at index curr
cout << "We traverse on index: " << curr << endl;
return curr;
}
if (curr + m > n) {
// Element is not present in array
cout << "We traverse on index: " << n - 1 << endl;
return -1;
}
cout << "We traverse on index: " << curr << endl;
prev = curr;
curr += m;
}
// Linear search from the last index of the current block
for (int i = prev; i < curr; i++) {
cout << "We traverse on index: " << i << endl;
if (arr[i] == x) {
// Element is present at index i
return i;
}
}
// Element is not present in array
cout << "We traverse on index: " << n - 1 << endl;
return -1;
} | [
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Answer for question 8:
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 m = sqrt(n);
int prev = 0, curr = 0;
while (arr[min(curr + m - 1, n - 1)] <= x) {
if (arr[curr] == x) {
cout << "We traverse on index: " << curr << endl;
return curr;
}
if (curr + m > n) {
cout << "We traverse on index: " << n - 1 << endl;
return -1;
}
cout << "We traverse on index: " << curr << endl;
prev = curr;
curr += m;
}
for (int i = prev; i < curr; i++) {
cout << "We traverse on index: " << i << endl;
if (arr[i] == x) {
return i;
}
}
cout << "We traverse on index: " << n - 1 << endl;
return -1;
} | [
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Answer for question 8:
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 m = sqrt(n);
int prev = 0, curr = 0;
while (arr[min(curr + m - 1, n - 1)] <= x) {
if (arr[curr] == x) {
cout << curr << endl;
return curr;
}
if (curr + m > n) {
cout << n - 1 << endl;
return -1;
}
cout << curr << endl;
prev = curr;
curr += m;
}
for (int i = prev; i < curr; i++) {
cout << i << endl;
if (arr[i] == x) {
return i;
}
}
cout << n - 1 << endl;
return -1;
} | [
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Answer for question 8:
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 m = sqrt(n);
int prev = 0, curr = 0;
while (arr[min(curr + m - 1, n - 1)] <= x) {
if (arr[curr] == x) {
cout << curr;
return curr;
}
if (curr + m > n) {
cout << n - 1;
return -1;
}
cout << curr;
prev = curr;
curr += m;
}
for (int i = prev; i < curr; i++) {
cout << i;
if (arr[i] == x) {
return i;
}
}
cout << n - 1 << endl;
return -1;
} | [
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Answer for question 8:
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.
} | [
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Answer for question 10:
int leastAfter(vector<int>& nums, int k) {
// STUDENT ANSWER
int n = nums.size();
unordered_map<int, int> freq;
queue<int> q;
// Initialize the frequency map and the queue
for (int i = 0; i < n; i++) {
freq[nums[i]]++;
q.push(nums[i]);
}
// Perform the operations k times
for (int i = 0; i < k; i++) {
int x = q.front();
q.pop();
int f = freq[x];
// Update the frequency map and the queue
freq[x] = 0;
while (!q.empty() && freq[q.back()] >= f) {
freq[q.back()]--;
q.pop();
}
// Push back the updated element
q.push(x * 2);
}
// Return the smallest element in the queue
int ans = q.front();
q.pop();
while (!q.empty()) {
ans = min(ans, q.front());
q.pop();
}
return ans;
} | [
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Answer for question 10:
int leastAfter(vector<int>& nums, int k) {
// STUDENT ANSWER
int n = nums.size();
unordered_map<int, int> freq;
queue<int> q;
for (int i = 0; i < n; i++) {
freq[nums[i]]++;
q.push(nums[i]);
}
for (int i = 0; i < k; i++) {
int x = q.front();
q.pop();
int f = freq[x];
freq[x] = 0;
while (!q.empty() && freq[q.back()] >= f) {
freq[q.back()]--;
q.pop();
}
q.push(x * 2);
}
int ans = q.front();
q.pop();
while (!q.empty()) {
ans = min(ans, q.front());
q.pop();
}
return ans;
} | [
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Answer for question 10:
int leastAfter(vector<int>& nums, int k) {
// STUDENT ANSWER
int n = nums.size();
unordered_map<int, int> freq;
queue<int> q;
for (int i = 0; i < n; i++) {
freq[nums[i]]++;
q.push(nums[i]);
}
for (int i = 0; i < k; i++) {
int x = q.front();
q.pop();
int f = freq[x];
freq[x] = 0;
while (!q.empty() && freq[q.back()] >= f) {
freq[q.back()]--;
q.pop();
}
q.push(x * 2);
}
int ans = q.front();
/*q.pop();
while (!q.empty()) {
ans = min(ans, q.front());
q.pop();
}*/
return ans;
} | [
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Answer for question 5:
class PrinterQueue
{
// your attributes
private:
vector<pair<int, string>> requests;
void printImpl() {
if (requests.empty()) {
cout << "No file to print" << endl;
return;
}
cout << requests.back().second << endl;
requests.pop_back();
}
public:
// your methods
void addNewRequest(int priority, string fileName)
{
// your code here
requests.emplace_back(priority, move(fileName));
auto it = requests.begin();
while (it != requests.end()) {
auto next = next(it);
if (next == requests.end() || next->first > it->first) {
++it;
continue;
}
std::swap(*it, *next);
it = next(it);
}
}
void print()
{
// your code here
// After some logic code, you have to print fileName with endline
printImpl();
}
}; | [
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Answer for question 5:
class PrinterQueue
{
// your attributes
private:
vector<pair<int, string>> requests;
void printImpl() {
if (requests.empty()) {
cout << "No file to print" << endl;
return;
}
cout << requests.back().second << endl;
requests.pop_back();
}
public:
// your methods
void addNewRequest(int priority, string fileName)
{
// your code here
requests.emplace_back(priority, move(fileName));
auto it = requests.begin();
while (it != requests.end()) {
auto next = std::next(it);
if (next == requests.end() || next->first > it->first) {
++it;
continue;
}
swap(*it, *next);
it = next(it);
}
}
void print()
{
// your code here
// After some logic code, you have to print fileName with endline
printImpl();
}
}; | [
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Answer for question 5:
class PrinterQueue
{
// your attributes
private:
vector<pair<int, string>> requests;
void printImpl() {
if (requests.empty()) {
cout << "No file to print" << endl;
return;
}
cout << requests.back().second << endl;
requests.pop_back();
}
public:
// your methods
void addNewRequest(int priority, string fileName)
{
// your code here
requests.emplace_back(priority, move(fileName));
auto it = requests.begin();
while (it != requests.end()) {
auto n = next(it);
if (n == requests.end() || n->first > it->first) {
++it;
continue;
}
swap(*it, *next);
it = next(it);
}
}
void print()
{
// your code here
// After some logic code, you have to print fileName with endline
printImpl();
}
}; | [
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Answer for question 5:
class PrinterQueue
{
// your attributes
private:
vector<pair<int, string>> requests;
void printImpl() {
if (requests.empty()) {
cout << "No file to print" << endl;
return;
}
cout << requests.back().second << endl;
requests.pop_back();
}
public:
// your methods
void addNewRequest(int priority, string fileName)
{
// your code here
requests.emplace_back(priority, move(fileName));
auto it = requests.begin();
while (it != requests.end()) {
auto n = next(it);
if (n == requests.end() || n->first > it->first) {
++it;
continue;
}
swap(*it, *n);
it = next(it);
}
}
void print()
{
// your code here
// After some logic code, you have to print fileName with endline
printImpl();
}
}; | [
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Answer for question 2:
template<class T>
void Heap<T>::push(T item){
if (count == capacity) {
ensureCapacity(count * 2);
}
count++;
elements = item;
reheapUp(count - 1);
}
template<class T>
void Heap<T>::ensureCapacity(int minCapacity){
if (capacity >= minCapacity) {
return;
}
T* newElements = new T[min for (int i = 0; i < count; i++) {
newElements = elements[
}
delete elements;
elements = newElements;
capacity = minCapacity;
}
template<class T>
void Heap<T>::reheapUp(int position){
while (position > 1 && elements[position / 2{
std::swap(elements[position / 2sition position /= 2;
}
} | [
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Answer for question 2:
template<class T>
void Heap<T>::push(T item){
ensureCapacity(count + 1);
elements[count] = item;
reheapUp(count);
count++;
}
template<class T>
void Heap<T>::ensureCapacity(int minCapacity){
if (minCapacity > capacity) {
capacity *= 2;
T *newElements = new T[capacity];
for (int i = 0; i < count; i++) {
newElements[i] = elements[i];
}
delete[] elements;
elements = newElements;
}
}
template<class T>
void Heap<T>::reheapUp(int position){
int parent = (position - 1) / 2;
T newItem = elements[position];
while (position > 0 && newItem > elements[parent]) {
elements[position] = elements[parent];
position = parent;
parent = (position - 1) / 2;
}
elements[position] = newItem;
} | [
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Answer for question 3:
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 index = getItem(item);
if (index == -1) {
return; // Item not found in heap
}
elements[index] = elements[count - 1]; // Replace item with last element
count--; // Reduce heap size
reheapDown(index); // Rebalance the heap
}
template<class T>
void Heap<T>::clear() {
// TODO: delete all elements in heap
// then reallocate memory as initial state
delete[] elements; // Delete existing elements
capacity = 10;
count = 0;
elements = new T[capacity];
} | [
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Answer for question 3:
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) {
int index = getItem(item);
if (index == -1) {
return;
}
elements[index] = elements[count - 1];
count--;
reheapDown(index);
}
template<class T>
void Heap<T>::clear() {
// TODO: delete all elements in heap
// then reallocate memory as initial state
delete[] elements;
capacity = 10;
count = 0;
elements = new T[capacity];
} | [
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Answer for question 3:
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) {
if (count == 0) return;
int index = getItem(item);
if (index == -1) {
return;
}
elements[index] = elements[count - 1];
count--;
reheapDown(index);
}
template<class T>
void Heap<T>::clear() {
// TODO: delete all elements in heap
// then reallocate memory as initial state
delete[] elements;
capacity = 10;
count = 0;
elements = new T[capacity];
} | [
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Answer for question 3:
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) {
int index = getItem(item);
if (index == -1) {
return;
}
elements[index] = elements[count - 1];
count--;
reheapDown(index);
}
template<class T>
void Heap<T>::clear() {
// TODO: delete all elements in heap
// then reallocate memory as initial state
delete[] elements;
capacity = 10;
count = 0;
elements = new T[capacity];
} | [
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Answer for question 4:
//Helping functions go here
static void heapify(T* arr, int size, int i)
{
int largest = i; // Initialize largest as root
int left = 2 * i + 1; // left = 2*i + 1
int right = 2 * i + 2; // right = 2*i + 2
// If left child is larger than root
if (left < size && arr[left] > arr[largest])
largest = left;
// If right child is larger than largest so far
if (right < size && arr[right] > arr[largest])
largest = right;
// If largest is not root
if (largest != i) {
swap(arr[i], arr[largest]);
// Recursively heapify the affected sub-tree
heapify(arr, size, largest);
}
}
static void heapSort(T* start, T* end){
//TODO
long size = end - start;
// Build max heap
for (int i = size / 2 - 1; i >= 0; i--)
heapify(start, size, i);
// One by one extract an element from heap
for (int i = size - 1; i >= 0; i--) {
// Move current root to end
swap(start[0], start[i]);
// call max heapify on the reduced heap
heapify(start, i, 0);
}
Sorting<T>::printArray(start,end);
} | [
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Answer for question 4:
//Helping functions go here
static void heapify(T* arr, int size, int i)
{
int largest = i;
int left = 2 * i + 1;
int right = 2 * i + 2;
if (left < size && arr[left] > arr[largest])
largest = left;
if (right < size && arr[right] > arr[largest])
largest = right;
if (largest != i) {
swap(arr[i], arr[largest]);
heapify(arr, size, largest);
}
}
static void heapSort(T* start, T* end){
//TODO
long size = end - start;
for (int i = size / 2 - 1; i >= 0; i--)
heapify(start, size, i);
for (int i = size - 1; i >= 0; i--) {
swap(start[0], start[i]);
heapify(start, i, 0);
}
Sorting<T>::printArray(start,end);
} | [
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Answer for question 5:
class PrinterQueue
{
// your attributes
struct File {
int priority;
string fileName;
File(int p, string name) {
priority = p;
fileName = name;
}
};
queue<File> fileQueue;
public:
// your methods
void addNewRequest(int priority, string fileName)
{
// your code here
if (fileQueue.size() >= 100) {
// Maximum queue size reached
return;
}
File newFile(priority, fileName);
fileQueue.push(newFile);
}
void print()
{
// your code here
// After some logic code, you have to print fileName with endline
if (fileQueue.empty()) {
cout << "No file to print" << endl;
return;
}
File highestPriorityFile = fileQueue.front();
// Find the file with highest priority
queue<File> copyQueue = fileQueue;
while (!copyQueue.empty()) {
File currentFile = copyQueue.front();
copyQueue.pop();
if (currentFile.priority > highestPriorityFile.priority) {
highestPriorityFile = currentFile;
}
}
cout << highestPriorityFile.fileName << endl;
// Remove the printed file from the queue
queue<File> newQueue;
while (!fileQueue.empty()) {
File currentFile = fileQueue.front();
fileQueue.pop();
if (currentFile.fileName != highestPriorityFile.fileName) {
newQueue.push(currentFile);
}
}
fileQueue = newQueue;
}
}
}; | [
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Answer for question 5:
class PrinterQueue
{
// your attributes
private:
vector<pair<int, string>> requests;
void printImpl() {
if (requests.empty()) {
cout << "No file to print" << endl;
return;
}
cout << requests.back().second << endl;
requests.pop_back();
}
public:
// your methods
void addNewRequest(int priority, string fileName)
{
// your code here
requests.emplace_back(priority, move(fileName));
auto it = requests.begin();
while (it != requests.end()) {
auto n = next(it);
if (n == requests.end() || n->first > it->first) {
++it;
continue;
}
swap(*it, *n);
it = next(it);
}
}
void print()
{
// your code here
// After some logic code, you have to print fileName with endline
printImpl();
}
}; | [
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] |
Answer for question 10:
int leastAfter(vector<int>& nums, int k) {
// STUDENT ANSWER
std::sort(nums.begin(), nums.end());
// Perform the operation k times
for (int i = 0; i < k; i++) {
// Take the smallest integer out of the array
int smallest = nums[0];
// Multiply it by 2
int doubled = smallest * 2;
// Push it back to the array
nums.push_back(doubled);
// Remove the smallest integer from the array
nums.erase(nums.begin());
}
// Return the new smallest integer in the array
return nums[0];
} | [
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Answer for question 10:
int leastAfter(vector<int>& nums, int k) {
// STUDENT ANSWER
} | [
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Answer for question 10:
int leastAfter(vector<int>& nums, int k) {
// STUDENT ANSWER
return 5;
} | [
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Answer for question 7:
int interpolationSearch(int arr[], int left, int right, int x)
{
if (left <= right && x >= arr[left] && x <= arr[right]) {
int pos = left + (((double)(right - left) / (arr[right] - arr[left])) * (x - arr[left]));
std::cout << "We traverse on index: " << pos << std::endl;
if (arr[pos] == x)
return pos;
if (arr[pos] < x)
return interpolationSearch(arr, pos + 1, right, x);
if (arr[pos] > x)
return interpolationSearch(arr, left, pos - 1, x);
}
return -1; // Element not found
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Answer for question 7:
int interpolationSearch(int arr[], int left, int right, int x)
{
if (left <= right && x >= arr[left] && x <= arr[right]) {
int pos = left + (((double)(right - left) / (arr[right] - arr[left])) * (x - arr[left]));
cout << "We traverse on index: " << pos << endl;
if (arr[pos] == x)
return pos;
if (arr[pos] < x)
return interpolationSearch(arr, pos + 1, right, x);
if (arr[pos] > x)
return interpolationSearch(arr, left, pos - 1, x);
}
return -1;
} | [
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Answer for question 8:
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 prev = 0;
int next = step;
// Finding the block where the element might exist
while (arr[next] <= x && next < n) {
prev = next;
next += step;
std::cout << "Traversed index: " << prev << std::endl;
}
// Performing linear search within the block
while (arr[prev] < x) {
prev++;
std::cout << "Traversed index: " << prev << std::endl;
// If we reach the end of the current block or the end of the array, the element is not present
if (prev == std::min(next, n)) {
return -1;
}
}
// If the element is found, print the traversed indexes and return its index
if (arr[prev] == x) {
std::cout << "Traversed index: " << prev << std::endl;
return prev;
}
// The element is not present in the array
return -1;
} | [
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Answer for question 8:
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 prev = 0;
// Finding the block where the element may be present
while (arr[int(fmin(step, n)-1)] < x) {
prev = step;
step += sqrt(n);
if (prev >= n)
return -1;
}
// Linear search in the found block
while (arr[prev] < x) {
prev++;
// If we reached the end of the block or the element is not present
if (prev == fmin(step, n))
return -1;
}
// If the element is found
if (arr[prev] == x)
return prev;
return -1;
} | [
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Answer for question 8:
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.
// Calculate the block size
int step = sqrt(n);
// Find the block where the element might be present
int prev = 0;
while (arr[min(step, n) - 1] < x) {
prev = step;
step += sqrt(n);
if (prev >= n)
return -1; // Value is not in the array
}
// Perform a linear search in the block
while (arr[prev] < x) {
prev++;
if (prev == min(step, n))
return -1; // Value is not in the array
}
// Value is found at the previous index
cout << "Traversed indexes: ";
for (int i = (prev - step); i < prev; i++) {
cout << i << " ";
}
return prev;
} | [
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Answer for question 8:
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.
} | [
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Answer for question 9:
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.
std::map<int, std::pair<int, int>> sumMap;
for (int i = 0; i < n - 1; i++) {
for (int j = i + 1; j < n; j++) {
int sum = arr[i] + arr[j];
if (sumMap.find(sum) != sumMap.end()) {
pair1 = sumMap[sum];
pair2 = std::make_pair(arr[i], arr[j]);
return true;
}
// Store the pair sum and the corresponding pairs
sumMap[sum] = std::make_pair(arr[i], arr[j]);
}
}
return false;
} | [
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Answer for question 9:
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>> sumMap;
for (int i = 0; i < n - 1; i++) {
for (int j = i + 1; j < n; j++) {
int sum = arr[i] + arr[j];
if (sumMap.find(sum) != sumMap.end()) {
pair1 = sumMap[sum];
pair2 = std::make_pair(arr[i], arr[j]);
return true;
}
sumMap[sum] = std::make_pair(arr[i], arr[j]);
}
}
return false;
} | [
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Answer for question 10:
int leastAfter(vector<int>& nums, int k) {
// STUDENT ANSWER
std::priority_queue<int, std::vector<int>, std::greater<int>> minHeap(nums.begin(), nums.end());
while (k > 0) {
int smallest = minHeap.top();
minHeap.pop();
minHeap.push(smallest * 2);
k--;
}
return minHeap.top();
} | [
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Answer for question 10:
int leastAfter(vector<int>& nums, int k) {
// STUDENT ANSWER
priority_queue<int, vector<int>, greater<int>> minHeap(nums.begin(), nums.end());
while (k > 0) {
int smallest = minHeap.top();
minHeap.pop();
minHeap.push(smallest * 2);
k--;
}
return minHeap.top();
} | [
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Answer for question 8:
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); // Step size
// Finding the block where the element might exist
int prev = 0;
while (arr[std::min(step, n) - 1] < x) {
prev = step;
step += sqrt(n);
if (prev >= n) {
return -1;
}
}
// Linear search within the block
while (arr[prev] < x) {
prev++;
if (prev == std::min(step, n)) {
return -1;
}
}
// If element is found
if (arr[prev] == x) {
return prev;
}
else {
return -1; // Element not found
}
} | [
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Answer for question 8:
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 prev = 0;
while (arr[std::min(step, n) - 1] < x) {
prev = step;
step += sqrt(n);
if (prev >= n) {
return -1;
}
}
while (arr[prev] < x) {
prev++;
if (prev == min(step, n)) {
return -1;
}
}
if (arr[prev] == x) {
return prev;
}
else {
return -1;
}
} | [
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Answer for question 8:
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 prev = 0;
int curr = step;
while (arr[min(curr, n) - 1] < x) {
prev = curr;
curr += step;
if (prev >= n) {
return -1;
}
cout << prev << " ";
}
while (arr[prev] < x) {
prev++;
if (prev == min(curr, n)) {
return -1;
}
cout << prev << " ";
}
if (arr[prev] == x) {
return prev;
}
return -1;
} | [
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Answer for question 8:
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 prev = 0;
while (arr < x) {
prev = step;
step += step;
if (step >= n) {
return -1;
}
}
for (int i = prev; i >= 0; i--) {
if (arr == x) {
return i;
}
}
return -1;
} | [
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Answer for question 8:
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 prev = 0;
while (*arr < x) {
prev = step;
step += step;
if (step >= n) {
return -1;
}
}
for (int i = prev; i >= 0; i--) {
if (*arr == x) {
return i;
}
}
return -1;
} | [
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Answer for question 8:
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.
// Finding block size to be jumped
int step = sqrt(n);
// Finding the block where element is
// present (if it is present)
int prev = 0;
while (arr[min(step, n)-1] < x) {
cout << prev << " ";
prev = step;
step += sqrt(n);
if (prev >= n)
return -1;
}
// Doing a linear search for x in block
// beginning with prev.
while (arr[prev] < x) {
cout << prev << " ";
prev++;
// If we reached next block or end of
// array, element is not present.
if (prev == min(step, n))
return -1;
}
// If element is found
if (arr[prev] == x) {
cout << prev << " ";
return prev;
}
return -1;
} | [
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Answer for question 8:
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 prev = 0;
while (arr[min(step, n)-1] < x) {
cout << prev << " ";
prev = step;
step += sqrt(n);
if (prev >= n)
return -1;
}
while (arr[prev] < x) {
cout << prev << " ";
prev++;
if (prev == min(step, n))
return -1;
}
if (arr[prev] == x) {
cout << prev << " ";
return prev;
}
return -1;
} | [
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Answer for question 8:
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.
// Calculate the block size based on the optimal value of √n
int m = sqrt(n);
// Initialize the current index
int currentIndex = 0;
// Iterate until the element is found or the end of the array is reached
while (currentIndex < n) {
// Print the current index
cout << currentIndex << " ";
// Check if the current element is the target element
if (arr[currentIndex] == x) {
return currentIndex;
}
// Jump to the next block
currentIndex += m;
// If the jump exceeds the array bounds, adjust the index
if (currentIndex >= n) {
currentIndex = n - 1;
}
}
// If the element is not found, perform linear search from the last index
for (int i = currentIndex - m; i <= currentIndex; i++) {
if (arr[i] == x) {
return i;
}
}
// The element is not found in the array
return -1;
} | [
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Answer for question 8:
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 prev = 0;
while (arr[min(step, n)-1] < x) {
cout << prev << " ";
prev = step;
step += sqrt(n);
if (prev >= n)
return -1;
}
while (arr[prev] < x) {
cout << prev << " ";
prev++;
if (prev == min(step, n))
return -1;
}
if (arr[prev] == x) {
cout << prev << " ";
return prev;
}
return -1;
}
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Answer for question 8:
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); // Set the step size to the square root of the array length.
int prev = 0;
// Jump to the next block until the value at the current block is greater than or equal to x.
while (arr[min(step, n) - 1] < x) {
cout << prev << " ";
prev = step;
step += sqrt(n);
if (prev >= n) {
cout << prev << endl;
return -1; // Value is not in the array.
}
}
// Perform a linear search in the current block.
while (arr[prev] < x) {
cout << prev << " ";
prev++;
if (prev == min(step, n)) {
cout << prev << endl;
return -1; // Value is not in the array.
}
}
// If the element is found, print the traversed indexes and return the index.
cout << prev << endl;
if (arr[prev] == x) {
return prev;
}
return -1; // Value is not in the array.
}
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] |
Answer for question 8:
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 prev = 0;
while (arr[min(step, n)-1] < x) {
cout << prev << " ";
prev = step;
step += sqrt(n);
if (prev >= n)
return -1;
}
while (arr[prev] < x) {
cout << prev << " ";
prev++;
if (prev == min(step, n))
return -1;
}
if (arr[prev] == x) {
cout << prev << " ";
return prev;
}
return -1;
}
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Answer for question 3:
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) {
int index = getItem(item);
if (index == -1) {
return;
}
elements[index] = elements[count - 1];
count--;
reheapDown(index);
}
template<class T>
void Heap<T>::clear() {
// TODO: delete all elements in heap
// then reallocate memory as initial state
delete[] elements;
capacity = 10;
count = 0;
elements = new T[capacity];
} | [
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Answer for question 3:
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 index = getItem(item);
if (index == -1) {
return;
}
swap(elements[index], elements[count - 1]);
count--;
reheapDown(index);
reheapUp(index);
}
template<class T>
void Heap<T>::clear() {
// TODO: delete all elements in heap
// then reallocate memory as initial state
delete[] elements;
capacity = 10;
count = 0;
elements = new T[capacity];
} | [
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Answer for question 5:
struct FileRequest {
int priority;
string fileName;
int order;
// Overload the < operator for comparison in the priority queue
bool operator<(const FileRequest& rhs) const {
if(priority == rhs.priority) {
return order > rhs.order;
}
return priority < rhs.priority;
}
};
class PrinterQueue
{
// your attributes
priority_queue<FileRequest> pq;
int count = 0;
public:
// your methods
void addNewRequest(int priority, string fileName)
{
// your code here
FileRequest fr;
fr.priority = priority;
fr.fileName = fileName;
fr.order = count++;
pq.push(fr);
}
void print()
{
// your code here
// After some logic code, you have to print fileName with endline
if(pq.empty()) {
cout << "No file to print" << endl;
} else {
FileRequest fr = pq.top();
pq.pop();
cout << fr.fileName << endl;
}
}
}; | [
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Answer for question 5:
class PrinterQueue
{
// your attributes
struct File {
int priority;
std::string fileName;
};
std::queue<File> fileQueue;
public:
// your methods
void addNewRequest(int priority, string fileName)
{
// your code here
if (fileQueue.size() >= 100) {
std::cout << "Maximum file limit reached. Unable to add new request." << std::endl;
return;
}
File newFile;
newFile.priority = priority;
newFile.fileName = fileName;
fileQueue.push(newFile);
}
void print()
{
// your code here
// After some logic code, you have to print fileName with endline
if (fileQueue.empty()) {
std::cout << "No file to print" << std::endl;
return;
}
// Find the file with the highest priority
int highestPriority = fileQueue.front().priority;
std::queue<File> tempQueue;
while (!fileQueue.empty()) {
if (fileQueue.front().priority > highestPriority)
highestPriority = fileQueue.front().priority;
tempQueue.push(fileQueue.front());
fileQueue.pop();
}
// Print and remove the files with the highest priority
while (!tempQueue.empty()) {
if (tempQueue.front().priority == highestPriority) {
std::cout << tempQueue.front().fileName << std::endl;
} else {
fileQueue.push(tempQueue.front());
}
tempQueue.pop();
}
}
}; | [
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Answer for question 5:
class PrinterQueue
{
// your attributes
private:
// Struct to represent a print request
struct PrintRequest {
int priority;
std::string fileName;
};
// Comparator function for sorting the print requests based on priority
static bool comparePriority(const PrintRequest& a, const PrintRequest& b) {
return a.priority > b.priority;
}
std::list<PrintRequest> printQueue; // Linked list to store print requests
public:
// your methods
void addNewRequest(int priority, string fileName)
{
// your code here
printQueue.push_back({priority, fileName});
// Sort the queue based on priority
printQueue.sort(comparePriority);
}
void print()
{
// your code here
// After some logic code, you have to print fileName with endline
if (!printQueue.empty()) {
// Print the topmost request in the queue
std::cout << printQueue.front().fileName << std::endl;
// Remove the printed request from the queue
printQueue.pop_front();
} else {
// If the queue is empty, print a message
std::cout << "No file to print" << std::endl;
}
}
}; | [
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Answer for question 5:
class PrinterQueue
{
// your attributes
private:
vector<pair<int, string>> requests;
void printImpl() {
if (requests.empty()) {
cout << "No file to print" << endl;
return;
}
cout << requests.back().second << endl;
requests.pop_back();
}
public:
// your methods
void addNewRequest(int priority, string fileName)
{
// your code here
requests.emplace_back(priority, move(fileName));
auto it = requests.begin();
while (it != requests.end()) {
auto n = next(it);
if (n == requests.end() || n->first > it->first) {
++it;
continue;
}
swap(*it, *n);
it = next(it);
}
}
void print()
{
// your code here
// After some logic code, you have to print fileName with endline
printImpl();
}
}; | [
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Answer for question 8:
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 prev = 0;
// Finding the block where the element x could be present
while (arr[std::min(step, n) - 1] < x) {
prev = step;
step += sqrt(n);
if (prev >= n)
return -1; // Element x is not present in the array
std::cout << prev << " "; // Print traversed index
}
// Linear search in the block
while (arr[prev] < x) {
prev++;
if (prev == std::min(step, n))
return -1; // Element x is not present in the array
std::cout << prev << " "; // Print traversed index
}
if (arr[prev] == x)
return prev; // Element x is found at index prev
return -1;
} | [
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Answer for question 8:
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 prev = 0;
while (arr[min(step, n)-1] < x) {
cout << prev << " ";
prev = step;
step += sqrt(n);
if (prev >= n)
return -1;
}
while (arr[prev] < x) {
cout << prev << " ";
prev++;
if (prev == min(step, n))
return -1;
}
if (arr[prev] == x) {
cout << prev << " ";
return prev;
}
return -1;
} | [
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Answer for question 9:
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>> sumMap;
for (int i = 0; i < n - 1; i++) {
for (int j = i + 1; j < n; j++) {
int sum = arr[i] + arr[j];
if (sumMap.find(sum) != sumMap.end()) {
pair1 = sumMap[sum];
pair2 = make_pair(arr[i], arr[j]);
return true;
}
sumMap[sum] = make_pair(arr[i], arr[j]);
}
}
return false;
} | [
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Answer for question 8:
int foldShift(long long key, int addressSize)
{
int hash = 0;
// Convert the key to a string
std::string keyStr = std::to_string(key);
int pieceSize = keyStr.length() / addressSize;
int remainingSize = keyStr.length() % addressSize;
int start = 0;
int end = pieceSize + remainingSize;
// Add up the pieces
while (start < keyStr.length()) {
std::string piece = keyStr.substr(start, end - start);
long long num = std::stoll(piece);
hash += num;
start = end;
end = start + pieceSize;
}
// Perform modulo operation to fit within address size
hash = hash % addressSize;
return hash;
}
int rotation(long long key, int addressSize)
{
int hash = 0;
// Convert the key to a string
std::string keyStr = std::to_string(key);
// Perform rotating hash
for (char ch : keyStr) {
hash = (hash << 4) ^ (hash >> 28) ^ ch;
}
// Perform modulo operation to fit within address size
hash = hash % addressSize;
return hash;
} | [
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Answer for question 8:
int foldShift(long long key, int addressSize)
{
std::string keyString = std::to_string(key);
int hashValue = 0;
int pieceSize = keyString.length() / addressSize;
// Add up the equal-size pieces of the key
for (int i = 0; i < keyString.length(); i += pieceSize) {
std::string piece = keyString.substr(i, pieceSize);
hashValue += std::stoi(piece);
}
// Take the modulus to ensure the hash value is within the address size
hashValue %= addressSize;
return hashValue;
}
int rotation(long long key, int addressSize)
{
int hashValue = 0;
// Perform bitwise rotation on the key
while (key > 0) {
hashValue = (hashValue << 1) | (key & 1);
key >>= 1;
}
// Take the modulus to ensure the hash value is within the address size
hashValue %= addressSize;
return hashValue;
} | [
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Answer for question 8:
int foldShift(long long key, int addressSize)
{
std::string keyString = std::to_string(key);
int hashValue = 0;
int pieceSize = keyString.length() / addressSize;
int n = keyString.length();
// Add up the equal-size pieces of the key
for (int i = 0; i < n; i += pieceSize) {
std::string piece = keyString.substr(i, pieceSize);
hashValue += std::stoi(piece);
}
// Take the modulus to ensure the hash value is within the address size
hashValue %= addressSize;
return hashValue;
}
int rotation(long long key, int addressSize)
{
int hashValue = 0;
// Perform bitwise rotation on the key
while (key > 0) {
hashValue = (hashValue << 1) | (key & 1);
key >>= 1;
}
// Take the modulus to ensure the hash value is within the address size
hashValue %= addressSize;
return hashValue;
} | [
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Answer for question 8:
int foldShift(long long key, int addressSize)
{
key = key < 0 ? -key : key;
// Initialize the hash value
int hashValue = 0;
// Iterate until the key becomes 0
while (key > 0) {
// Extract a portion of the key (equal-size pieces)
int portion = key % 1000; // You can choose a different value based on your requirement
// Add the extracted portion to the hash value
hashValue += portion;
// Remove the extracted portion from the key
key /= 1000; // You can choose a different value based on your requirement
}
// Take the modulo to fit within the address size
return hashValue % addressSize;
}
int rotation(long long key, int addressSize)
{
key = key < 0 ? -key : key;
// Initialize the hash value
int hashValue = 0;
// Rotate the bits of the key and add to the hash value
while (key > 0) {
hashValue = (hashValue << 1) | (key & 1);
key >>= 1;
}
// Take the modulo to fit within the address size
return hashValue % addressSize;
} | [
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Answer for question 8:
int foldShift(long long key, int addressSize)
{
}
int rotation(long long key, int addressSize)
{
} | [
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Answer for question 9:
long int midSquare(long int seed)
{
long int squared = seed * seed;
// Eliminate 2 last digits and get the 4 next digits
int numDigits = 0;
long int result = 0;
while (squared > 0 && numDigits < 4) {
result = (squared % 10000) / 100; // Extract 4 digits from the middle
squared /= 10; // Move to the next set of digits
numDigits++;
}
return result;
}
long int moduloDivision(long int seed, long int mod)
{
return seed % mod;
}
long int digitExtraction(long int seed,int* extractDigits,int size)
{
long int result = 0;
int multiplier = 1;
for (int i = 0; i < size; i++) {
int index = extractDigits[i];
int digit = 0;
// Extract the digit at the specified index
for (int j = 0; j <= index; j++) {
digit = seed % 10;
seed /= 10;
}
result += digit * multiplier;
multiplier *= 10;
}
return result;
} | [
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Answer for question 9:
long int midSquare(long int seed)
{
}
long int moduloDivision(long int seed, long int mod)
{
}
long int digitExtraction(long int seed,int* extractDigits,int size)
{
} | [
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Answer for question 10:
int pairMatching(vector<int>& nums, int target) {
unordered_map<int, int> frequency;
for (int num : nums) {
frequency[num]++;
}
int countPairs = 0;
for (int num : nums) {
int complement = target - num;
if (frequency.find(complement) != frequency.end() && frequency[complement] > 0) {
countPairs++;
frequency[num]--;
frequency[complement]--;
}
}
return countPairs;
} | [
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Answer for question 10:
int pairMatching(vector<int>& nums, int target) {
unordered_map<int, int> count;
int pairs = 0;
for (int num : nums) {
if (count[target - num] > 0) {
pairs++;
count[target - num]--;
} else {
count[num]++;
}
}
return pairs;
} | [
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Answer for question 9:
long int midSquare(long int seed)
{
long int square = seed * seed;
square /= 100; // eliminate last 2 digits
return (square / 10000); // get next 4 digits
}
long int moduloDivision(long int seed, long int mod)
{
return seed % mod;
}
long int digitExtraction(long int seed,int* extractDigits,int size)
{
long int result = 0;
for (int i = 0; i < size; ++i) {
long int digit = (seed / static_cast<long int>(pow(10, extractDigits[i]))) % 10;
result = result * 10 + digit;
}
return result;
} | [
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Answer for question 9:
long int midSquare(long int seed)
{
long int square = seed * seed;
square /= 100; // eliminate last 2 digits
return (square / 10000); // get next 4 digits
}
long int moduloDivision(long int seed, long int mod)
{
return seed % mod;
}
long int digitExtraction(long int seed,int* extractDigits,int size)
{
long int result = 0;
for (int i = size - 1; i >= 0; --i) {
long int digit = (seed / static_cast<long int>(pow(10, extractDigits[i]))) % 10;
result = result * 10 + digit;
}
return result;
} | [
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Answer for question 9:
long int midSquare(long int seed)
{
}
long int moduloDivision(long int seed, long int mod)
{
}
long int digitExtraction(long int seed,int* extractDigits,int size)
{
} | [
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Answer for question 8:
int foldShift(long long key, int addressSize)
{
std::vector<int> pieces;
while (key > 0) {
pieces.push_back(key % 100);
key /= 100;
}
int sum = 0;
for (int piece : pieces) {
sum += piece;
}
return sum % addressSize;
}
int rotation(long long key, int addressSize)
{
int result = key;
while (result >= addressSize) {
int digit = result % 10;
result = result / 10 + digit * (int)pow(10, (int)log10(result));
result %= addressSize;
}
return result;
} | [
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Answer for question 8:
int foldShift(long long key, int addressSize)
{
}
int rotation(long long key, int addressSize)
{
} | [
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Answer for question 2:
void dfs(int node, vector<vector<int>>& edges, vector<bool>& visited) {
visited[node] = true;
for (int i = 0; i < edges[node].size(); i++) {
if (!visited[edges[node][i]]) {
dfs(edges[node][i], edges, visited);
}
}
}
int connectedComponents(vector<vector<int>>& edges) {
// STUDENT ANSWER
int n = edges.size();
vector<bool> visited(n, false);
int components = 0;
for (int i = 0; i < n; i++) {
if (!visited[i]) {
dfs(i, edges, visited);
components++;
}
}
return components;
} | [
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Answer for question 2:
void dfs(int node, vector<vector<int>>& edges, vector<bool>& visited) {
visited[node] = true;
int n = edges[node].size()
for (int i = 0; i < n; i++) {
if (!visited[edges[node][i]]) {
dfs(edges[node][i], edges, visited);
}
}
}
int connectedComponents(vector<vector<int>>& edges) {
// STUDENT ANSWER
int n = edges.size();
vector<bool> visited(n, false);
int components = 0;
for (int i = 0; i < n; i++) {
if (!visited[i]) {
dfs(i, edges, visited);
components++;
}
}
return components;
} | [
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Answer for question 2:
void dfs(int vertex, vector<vector<int>>& edges, unordered_set<int>& visited) {
visited.insert(vertex);
for (int neighbor : edges[vertex]) {
if (visited.find(neighbor) == visited.end()) {
dfs(neighbor, edges, visited);
}
}
}
int connectedComponents(vector<vector<int>>& edges) {
// STUDENT ANSWER
unordered_set<int> visited;
int numComponents = 0;
for (int i = 0; i < edges.size(); ++i) {
if (visited.find(i) == visited.end()) {
dfs(i, edges, visited);
numComponents++;
}
}
return numComponents;
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Answer for question 2:
void dfs(int vertex, vector<vector<int>>& edges, unordered_set<int>& visited) {
visited.insert(vertex);
for (int neighbor : edges[vertex]) {
if (visited.find(neighbor) == visited.end()) {
dfs(neighbor, edges, visited);
}
}
}
int connectedComponents(vector<vector<int>>& edges) {
// STUDENT ANSWER
unordered_set<int> visited;
int numComponents = 0;
int n = edges.size();
for (int i = 0; i < n ; ++i) {
if (visited.find(i) == visited.end()) {
dfs(i, edges, visited);
numComponents++;
}
}
return numComponents;
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Answer for question 1:
class Graph
{
private:
int V;
Adjacency *adj;
public:
Graph(int V)
{
this->V = V;
adj = new Adjacency[V];
}
void addEdge(int v, int w)
{
adj[v].push(w);
adj[w].push(v);
}
void printGraph()
{
for (int v = 0; v < V; ++v)
{
cout << "\nAdjacency list of vertex " << v << "\nhead ";
adj[v].print();
}
}
Adjacency *BFS(int v)
{
// v is a vertex we start BFS
Adjacency* bfsTraversal = new Adjacency();
// Create a visited array
bool* visited = new bool[size];
for(int i = 0; i < size; i++)
visited[i] = false;
// Create a queue for BFS
queue<int> queue;
// Mark the current node as visited and enqueue it
visited[start] = true;
queue.push(start);
while(!queue.empty()) {
// Dequeue a vertex from queue and print it
start = queue.front();
bfsTraversal->push(start);
queue.pop();
// Get all adjacent vertices of the dequeued vertex s
// If an adjacent has not been visited, then mark it visited and enqueue it
for (int i = 0; i < getSize(); ++i) {
if (!visited[getElement(i)]) {
queue.push(getElement(i));
visited[getElement(i)] = true;
}
}
}
delete [] visited;
return bfsTraversal;
}
}; | [
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Answer for question 1:
class Graph
{
private:
int V;
Adjacency *adj;
public:
Graph(int V)
{
this->V = V;
adj = new Adjacency[V];
}
void addEdge(int v, int w)
{
adj[v].push(w);
adj[w].push(v);
}
void printGraph()
{
for (int v = 0; v < V; ++v)
{
cout << "\nAdjacency list of vertex " << v << "\nhead ";
adj[v].print();
}
}
Adjacency *BFS(int v)
{
// v is a vertex we start BFS
Adjacency* bfsTraversal = new Adjacency();
// Create a visited array
bool* visited = new bool[size];
for(int i = 0; i < size; i++)
visited[i] = false;
// Create a queue for BFS
queue<int> queue;
// Mark the current node as visited and enqueue it
visited[start] = true;
queue.push(start);
while(!queue.empty()) {
// Dequeue a vertex from queue and print it
start = queue.front();
bfsTraversal->push(start);
queue.pop();
// Get all adjacent vertices of the dequeued vertex s
// If an adjacent has not been visited, then mark it visited and enqueue it
for (int i = 0; i < getSize(); ++i) {
if (!visited[getElement(i)]) {
queue.push(getElement(i));
visited[getElement(i)] = true;
}
}
}
delete [] visited;
return bfsTraversal;
}
}; | [
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Answer for question 1:
class Graph
{
private:
int V;
Adjacency *adj;
public:
Graph(int V)
{
this->V = V;
adj = new Adjacency[V];
}
void addEdge(int v, int w)
{
adj[v].push(w);
adj[w].push(v);
}
void printGraph()
{
for (int v = 0; v < V; ++v)
{
cout << "\nAdjacency list of vertex " << v << "\nhead ";
adj[v].print();
}
}
Adjacency *BFS(int v)
{
// v is a vertex we start BFS
}
}; | [
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Answer for question 4:
// Some helping functions
int Dijkstra(int** graph, int src, int dst) {
// TODO: return the length of shortest path from src to dst.
int numVertices = /* Number of vertices in the graph */;
std::vector<int> dist(numVertices, INT_MAX);
dist[src] = 0;
std::vector<bool> visited(numVertices, false);
std::priority_queue<std::pair<int, int>, std::vector<std::pair<int, int>>, std::greater<std::pair<int, int>>> pq;
pq.push(std::make_pair(0, src));
while (!pq.empty()) {
int u = pq.top().second;
pq.pop();
visited[u] = true;
for (int v = 0; v < numVertices; v++) {
if (graph[u][v] && !visited[v] && dist[u] != INT_MAX && dist[u] + graph[u][v] < dist[v]) {
dist[v] = dist[u] + graph[u][v];
pq.push(std::make_pair(dist[v], v));
}
}
}
return dist[dst];
}
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] |
Answer for question 4:
// Some helping functions
int Dijkstra(int** graph, int src, int dst) {
// TODO: return the length of shortest path from src to dst.
}
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Answer for question 5:
int dfs(int node, std::vector<std::vector<int>>& friends, std::vector<bool>& visited) {
visited[node] = true;
int friendGroupSize = 1;
for (int friendNode : friends[node]) {
if (!visited[friendNode]) {
friendGroupSize += dfs(friendNode, friends, visited);
}
}
return friendGroupSize;
}
int numberOfFriendGroups(vector<vector<int>>& friends) {
// STUDENT ANSWER
int n = friends.size();
std::vector<bool> visited(n, false);
int numFriendGroups = 0;
for (int i = 0; i < n; i++) {
if (!visited[i]) {
numFriendGroups++;
numFriendGroups += dfs(i, friends, visited) - 1;
}
}
return numFriendGroups;
} | [
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Answer for question 6:
#include <iostream>
#include <vector>
#include <list>
using namespace std;
class DirectedGraph
{
int V;
vector<list<int>> adj;
public:
DirectedGraph(int V)
{
this->V = V;
adj = vector<list<int>>(V, list<int>());
}
void addEdge(int v, int w)
{
adj[v].push_back(w);
}
bool isCyclic()
{
// Student answer
vector<bool> visited(V, false);
vector<bool> recursionStack(V, false);
for (int i = 0; i < V; ++i) {
if (!visited[i] && hasCycleUtil(i, visited, recursionStack))
return true;
}
return false;
}
bool hasCycleUtil(int v, vector<bool>& visited, vector<bool>& recursionStack) {
visited[v] = true;
recursionStack[v] = true;
for (const auto& neighbor : adj[v]) {
if (!visited[neighbor] && hasCycleUtil(neighbor, visited, recursionStack))
return true;
else if (recursionStack[neighbor])
return true;
}
recursionStack[v] = false;
return false;
}
}; | [
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Answer for question 7:
class Graph {
int V;
Adjacency* adj;
public:
Graph(int V){
this->V = V;
adj = new Adjacency[V];
}
void addEdge(int v, int w){
adj[v].push(w);
}
//Heling functions
void topologicalSortUtil(int v, bool visited[], stack<int>& Stack) {
visited[v] = true;
for (auto const& i : adj[v].adjList) {
if (!visited[i]) {
topologicalSortUtil(i, visited, Stack);
}
}
Stack.push(v);
}
void topologicalSort(){
//TODO
stack<int> Stack;
bool* visited = new bool[V];
for (int i = 0; i < V; i++) {
visited[i] = false;
}
for (int i = 0; i < V; i++) {
if (!visited[i]) {
topologicalSortUtil(i, visited, Stack);
}
}
// Print the sorted order
while (!Stack.empty()) {
cout << Stack.top() << " ";
Stack.pop();
}
}
}
}; | [
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Answer for question 7:
class Graph {
int V;
Adjacency* adj;
void topologicalSortUtil(int v, bool visited[], stack<int> &Stack) {
visited[v] = true;
list<int>::iterator i;
for (i = adj[v].getAdjList().begin(); i != adj[v].getAdjList().end(); ++i)
if (!visited[*i])
topologicalSortUtil(*i, visited, Stack);
Stack.push(v);
}
public:
Graph(int V){
this->V = V;
adj = new Adjacency[V];
}
void addEdge(int v, int w){
adj[v].push(w);
}
//Heling functions
void topologicalSort(){
//TODO
stack<int> Stack;
bool *visited = new bool[V];
for (int i = 0; i < V; i++)
visited[i] = false;
for (int i = 0; i < V; i++)
if (visited[i] == false)
topologicalSortUtil(i, visited, Stack);
while (Stack.empty() == false) {
cout << Stack.top() << " ";
Stack.pop();
}
}
}; | [
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Answer for question 7:
class Graph {
int V;
Adjacency* adj;
public:
Graph(int V){
this->V = V;
adj = new Adjacency[V];
}
void addEdge(int v, int w){
adj[v].push(w);
}
//Heling functions
void topologicalSort(){
//TODO
}
}; | [
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Answer for question 3:
class Graph
{
private:
int V;
Adjacency *adj;
public:
Graph(int V)
{
this->V = V;
adj = new Adjacency[V];
}
void addEdge(int v, int w)
{
adj[v].push(w);
adj[w].push(v);
}
void printGraph()
{
for (int v = 0; v < V; ++v)
{
cout << "\nAdjacency list of vertex " << v << "\nhead ";
adj[v].print();
}
}
void DFSUtil(int v, vector<bool>& visited) {
// Mark the current node as visited and print it
visited[v] = true;
cout << v << " ";
// Recur for all the vertices adjacent to this vertex
for (int i : adj[v]) {
if (!visited[i]) {
DFSUtil(i, visited);
}
}
}
Adjacency *DFS(int v)
{
// v is a vertex we start DFS
vector<bool> visited(V, false);
// Call the recursive helper function to perform DFS
DFSUtil(v, visited);
return adj; // Return the resulting DFS tree or forest
}
}; | [
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