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BubbleSort.java
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243 lines (170 loc) · 6.33 KB
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package Algorithms.Sorting;
import java.util.Arrays;
import java.util.stream.IntStream;
/**
* @author Srinvas Vadige, srinivas.vadige@gmail.com
* @since 21 Sept 2024
@TimeComplexity O(n²) worst case, O(n) best case
@SpaceComplexity O(1)
APPROACH: Compare "adjacent pairs" and move the greater item (in the unsorted array section) to right
start at j=0
compare j & j+1
sort from right to left (<-)
trav from 0 to length-i-1 cause last i items already sorted
Use second j-for-loop condition as -> for(int j=0; j < items.length-i-1; j++)
In j < n-i-1;
-1 cause we use both curr items[j] and next items[j+1] items
and -i cause last items already been sorted. So, -i is optional & we add this to make less iterations
*/
public class BubbleSort {
public static void main(String[] args) {
int[] items = new int[]{3, 2, 4, -1, 1000, 100, 3, 1};
System.out.println("\nbubbleSort 1 => " + Arrays.toString(bubbleSortUsingClassicApproach(Arrays.copyOf(items, items.length))));
System.out.println("\nbubbleSort 2 => " + Arrays.toString(bubbleSortUsingClassicEnhancedApproach1(Arrays.copyOf(items, items.length))));
System.out.println("\nbubbleSort 3 => " + Arrays.toString(bubbleSortUsingClassicEnhancedApproach2(Arrays.copyOf(items, items.length))));
}
/**
* @TimeComplexity O(n²) worst case, O(n) best case
* @SpaceComplexity O(1)
This {@link #bubbleSortUsingClassicApproach} (left to right) is opposite of {@link Algorithms.Sorting.InsertionSort#insertionSortUsingSwap} (right to left)
*/
public static int[] bubbleSortUsingClassicApproach(int[] items){
System.out.println("Given array: " + Arrays.toString(items));
for(int i=0; i<items.length; i++){
System.out.printf("\ni: %s\n", i);
System.out.println(Arrays.toString(IntStream.range(0, items.length-i).toArray()));
for(int j=0; j<items.length-i-1; j++){ // for every i-iteration -> j starts from 0th index till the "unsorted" length
int jItem = items[j];
int jNextItem = items[j+1];
System.out.println(Arrays.toString(items) + " - " + j + " & " + (j+1));
// or just like #bubbleSort2() or #bubbleSort3() -> keep track of the final maxIndex j+1 index and swap values after the j-loop
if(jItem > jNextItem){
int temp = items[j];
items[j] = items[j+1];
items[j+1] = temp;
}
}
System.out.println(Arrays.toString(items) + " - done");
}
return items;
}
/**
* @TimeComplexity O(n²)
* @SpaceComplexity O(1)
*/
public static int[] bubbleSortUsingClassicEnhancedApproach1(int[] items) {
int n = items.length;
for (int i = 0; i < n-1; i++) {
int maxIndex = 0; // next biggest item index
for (int j = 0; j < n-i-1; j++) {
if (items[maxIndex] < items[j+1]) maxIndex = j+1;
}
int lastUnsortedItem = items[n-i-1];
items[n-i-1] = items[maxIndex];
items[maxIndex] = lastUnsortedItem;
}
return items;
}
/**
* @TimeComplexity O(n²)
* @SpaceComplexity O(1)
*/
public static int[] bubbleSortUsingClassicEnhancedApproach2(int[] items) {
int n = items.length;
for (int i = 0; i < n-1; i++) {
int maxIndex = 0;
for (int j = 1; j < n-i; j++) {
if (items[maxIndex] < items[j]) maxIndex = j;
}
int lastUnsortedItem = items[n-i-1];
items[n-i-1] = items[maxIndex];
items[maxIndex] = lastUnsortedItem;
}
return items;
}
/**
* @TimeComplexity O(n) in best case scenario
* @SpaceComplexity O(1)
* If no swaps in a pass → array already sorted.
*/
public static void bubbleSortUsingEarlyStop(int[] a) {
int n = a.length;
for (int i = 0; i < n - 1; i++) {
boolean swapped = false;
for (int j = 0; j < n - i - 1; j++) {
if (a[j] > a[j + 1]) {
int temp = a[j];
a[j] = a[j + 1];
a[j + 1] = temp;
swapped = true;
}
}
if (!swapped) return;
}
}
/**
* @TimeComplexity O(n^2)
* @SpaceComplexity O(1)
* After the last swap, everything to the right is already sorted.
* So we shrink the comparison range aggressively.
*/
public static void bubbleSortUsingBoundary(int[] a) {
int n = a.length;
while (n > 1) {
int lastSwap = 0;
for (int j = 0; j < n - 1; j++) {
if (a[j] > a[j + 1]) {
int temp = a[j];
a[j] = a[j + 1];
a[j + 1] = temp;
lastSwap = j + 1;
}
}
n = lastSwap;
}
}
/**
* @TimeComplexity O(n²) worst case.
* @SpaceComplexity O(1)
* Bubble from left → then bubble from right
* Helps when small elements are stuck at the end
* Better when disorder exists on both sides
*/
public static void bubbleSortUsingCocktailSort(int[] a) {
int start = 0;
int end = a.length - 1;
while (start < end) {
for (int j = start; j < end; j++) {
if (a[j] > a[j + 1]) {
int t = a[j];
a[j] = a[j + 1];
a[j + 1] = t;
}
}
end--;
for (int j = end; j > start; j--) {
if (a[j] < a[j - 1]) {
int t = a[j];
a[j] = a[j - 1];
a[j - 1] = t;
}
}
start++;
}
}
/**
* @TimeComplexity O(n²)
* @SpaceComplexity O(1)
*/
public static void bubbleSortRecursive(int[] a, int n) {
if (n == 1) return;
for (int j = 0; j < n - 1; j++) {
if (a[j] > a[j + 1]) {
int t = a[j];
a[j] = a[j + 1];
a[j + 1] = t;
}
}
bubbleSortRecursive(a, n - 1);
}
}