This commit is contained in:
louiscklaw
2025-01-31 19:15:17 +08:00
parent 09adae8c8e
commit 6c60a73f30
1546 changed files with 286918 additions and 0 deletions

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public class BubbleSort {
public static void main(String [] args) {
int [] arr = {21, 13, 8, 42, 19, 5, 34, 61};
bubbleSort(arr);
for (int i=0; i<arr.length; i++)
System.out.print(arr[i] + " ");
System.out.println();
}
public static void bubbleSort(int [] array) {
for (int pass=0; pass < array.length-1; pass++)
for (int i=0; i < array.length-pass-1; i++)
if (array [ i ] > array [ i+1 ])
swap(array, i, i+1);
}
public static void swap (int [ ] array, int first, int second) {
int temp = array [ first ];
array [ first ] = array [ second ];
array [ second ] = temp;
}
}

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public class QuickSort {
public static void main(String [ ] args) {
int [ ] arr = {21, 13, 8, 42, 19, 5, 34, 61};
quicksort(arr, 0, arr.length-1);
for (int i=0; i<arr.length; i++)
System.out.print(arr[i] + " ");
System.out.println();
}
public static void quicksort (int array[], int first, int last) {
int pivot;
int i;
if (first >= last)
return;
pivot = partition(array, first, last);
quicksort(array, first, pivot - 1); /* sort left side */
quicksort(array, pivot + 1, last); /* sort right side */
}
public static int partition(int array[], int left, int right){
int i = left;
while (true) {
while (array[i] <= array[right] && i != right)
--right;
if (i == right)
return i ;
if (array[i] > array[right]) {
swap(array, i, right);
i = right;
}
while (array[left] <= array[i] && left != i )
++left;
if (i == left)
return i;
if (array[left] > array[i]) {
swap(array, i, left);
i = left;
}
}
}
public static void swap(int [ ] arr, int x, int y) {
int temp=arr[x];
arr[x] = arr[y];
arr[y] = temp;
}
}

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public class QuickVsBubble {
public static void main(String [] args) {
int n = Integer.parseInt(args[0]);
int [] arrayQS = new int[n];
int [] arrayBS = new int[n];
for (int i=0; i<n; i++) {
int x = (int) (Math.random() * 10000);
arrayQS[i] = x;
arrayBS[i] = x;
}
long startTime, endTime;
startTime = System.nanoTime();
quicksort(arrayQS, 0, arrayQS.length-1);
endTime = System.nanoTime();
System.out.println("Quick Sort = " + (endTime-startTime));
startTime = System.nanoTime();
bubbleSort(arrayBS);
endTime = System.nanoTime();
System.out.println("Bubble Sort = " + (endTime-startTime));
}
public static void quicksort (int array[], int first, int last) {
int pivot;
if (first >= last)
return;
pivot = partition(array, first, last);
quicksort(array, first, pivot - 1); /* sort left side */
quicksort(array, pivot + 1, last); /* sort right side */
}
public static int partition(int array[], int left, int right){
int i = left;
while (true) {
while (array[i] <= array[right] && i != right)
--right;
if (i == right)
return i ;
if (array[i] > array[right]) {
swap(array, i, right);
i = right;
}
while (array[left] <= array[i] && left != i )
++left;
if (i == left)
return i;
if (array[left] > array[i]) {
swap(array, i, left);
i = left;
}
}
}
public static void swap(int [ ] arr, int x, int y) {
int temp=arr[x];
arr[x] = arr[y];
arr[y] = temp;
}
public static void bubbleSort(int [] array) {
for (int pass=0; pass < array.length-1; pass++)
for (int i=0; i < array.length-pass-1; i++)
if (array [ i ] > array [ i+1 ])
swap(array, i, i+1);
}
}

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### Q1
Show the steps of sorting the integers 23, 48, 11, 3, 79, 35, 7, 19 by using
i. Selection sort
ii. Bubble sort
iii. Insertion sort
iv. Merge sort
v. In-Place Quick sort (with 1 st element as pivot)
```
# Selection sort
23 48 11 3 79 35 7 19
3 [48 11 23 79 35 7 19]
3 7 [11 23 79 35 48 19]
3 7 11 [23 79 35 48 19]
3 7 11 19 [79 35 48 23]
3 7 11 19 23 [35 48 79]
3 7 11 19 23 35 [48 79]
3 7 11 19 23 35 48 [79]
# Bubble Sort
[23 11 3 48 35 7 19] 79
[11 3 23 35 7 19] 48 79
[3 11 23 7 19] 35 48 79
[3 11 7 19] 23 35 48 79
[3 7 11] 19 23 35 48 79
3 7 11 19 23 35 48 79
# Insertion Sort
23 48 11 3 79 35 7 19
[23 48] 11 3 79 35 7 19
[11 23 48] 3 79 35 7 19
[3 11 23 48] 79 35 7 19
[3 11 23 48 79] 35 7 19
[3 11 23 35 48 79] 7 19
[3 7 11 23 35 48 79] 19
[3 7 11 19 23 35 48 79]
# Merge Sort
{23 48 11 3 79 35 7 19}
{23 48 11 3}{79 35 7 19}
{23 48}{11 3} {79 35}{7 19}
{23}{48}{11}{3}{79}{35}{7}{19}
{23 48}{3 11}{35 79}{7 19}
{3 11 23 48} {7 19 35 79}
{3 7 11 19 23 35 48 79}
# Qucik sort
index | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | StoreIndex
data | 23| 48| 11| 3| 79| 35| 7| 19| 1
Step 1| 23| 48| 11| 3| 79| 35| 7| 19| 1
Step 2| 23| 11| 48| 3| 79| 35| 7| 19| 2
Step 3| 23| 11| 3| 48| 79| 35| 7| 19| 3
Step 4| 23| 11| 3| 48| 79| 35| 7| 19| 3
Step 5| 23| 11| 3| 48| 79| 35| 7| 19| 3
Step 6| 23| 11| 3| 7| 79| 35| 48| 19| 4
Step 7| 23| 11| 3| 7| 19| 35| 48| 79| 5
Step 8| 19| 11| 3| 7| 23| 35| 48| 79| 5
```
### Q2
Show the steps for sorting the integers 79, 48, 35, 23, 19, 11, 7, 3 by using the above five methods.
```
# Selection Sort
79 48 35 23 19 11 7 3
3 [48 35 23 19 11 7 79]
3 7 [35 23 19 11 48 79]
3 7 11 [23 19 35 48 79]
3 7 11 19 [23 35 48 79]
3 7 11 19 23 [35 48 79]
3 7 11 19 23 35 [48 79]
3 7 11 19 23 35 48 [79]
# Bubble Sort
79 48 35 23 19 11 7 3
[48 35 23 19 11 7 3] 79
[35 23 19 11 7 3] 48 79
[23 19 11 7 3] 35 48 79
[19 11 7 3] 23 35 48 79
[11 7 3] 19 23 35 48 79
[7 3] 11 19 23 35 48 79
[3] 7 11 19 23 35 48 79
3 7 11 19 23 35 48 79
# Insertion Sort
79 48 35 23 19 11 7 3
[48 79] 35 23 19 11 7 3
[35 48 79] 23 19 11 7 3
[23 35 48 79] 19 11 7 3
[19 23 35 48 79] 11 7 3
[11 19 23 35 48 79] 7 3
[7 11 19 23 35 48 79] 3
[3 7 11 19 23 35 48 79]
# Merge Sort
{79 48 35 23 19 11 7 3}
{79 48 35 23} {19 11 7 3}
{79 48} {35 23} {19 11} {7 3}
{79} {48} {35} {23} {19} {11} {7} {3}
{48 79} {23 35} {11 19} {3 7}
{23 35 48 79} {3 7 11 19}
{3 7 11 19 23 35 48 79}
# Quick Sort
index | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | StoreIndex
data | 79| 48| 35| 23| 19| 11| 7| 3| 1
Step 1| 79| 48| 35| 23| 19| 11| 7| 3| 2
Step 2| 79| 48| 35| 23| 19| 11| 7| 3| 3
Step 3| 79| 48| 35| 23| 19| 11| 7| 3| 4
Step 4| 79| 48| 35| 23| 19| 11| 7| 3| 5
Step 5| 79| 48| 35| 23| 19| 11| 7| 3| 6
Step 6| 79| 48| 35| 23| 19| 11| 7| 3| 7
Step 7| 79| 48| 35| 23| 19| 11| 7| 3| 8
Step 8| 3| 48| 35| 23| 19| 11| 7| 79| 8
```
### Q3
| Algorithms | Data is in random order | Data is ascesndinf order(Guess) | Data is in descending order | In place? (yes or no) |
| --- | --- | --- | --- | --- |
| Selection | O(n^2) | O(n^2) | O(n^2) | yes |
| Bubble | O(n^2) | O(n) | O(n^2) | yes |
| Insertion | O(n^2) | O(n) | O(n^2) | yes |
| Merge | O(n log n) | O(n log n) | O(n log n) | no |
| Quick | O(n log n) | O(n^2) | O(n^2) | yes |