Develop Reference

How to make Quicksort code stable without libraries? (Java)

I am currently trying to make a Quicksort in java. The only problem is that I just can't make it stable (so that the order of reccurring elements is still the same). My code so far:
Update: Thank you for all your answers but sadly I 'm not allowed to use any libraries like java.util for LinkedLists etc.
public void quickSortStable(Integer[] data) {
int IndexZero = 0;
int IndexLength = data.length-1;
sortQuicksortArray(data, IndexZero, IndexLength);
}
public int createQuicksortPartition(Integer[] data, int IndexZero, int IndexLength){
int pivot = data[IndexLength];
int i = (IndexZero-1);
for (int j=IndexZero; j<IndexLength; j++)
{
if (data[j] < pivot)
{
i++;
int temp = data[i];
data[i] = data[j];
data[j] = temp;
}
}
int temp = data[i+1];
data[i+1] = data[IndexLength];
data[IndexLength] = temp;
return i+1;
}
public void sortQuicksortArray(Integer[] data, int IndexZero, int IndexLength){
if (IndexZero < IndexLength)
{
int partition = createQuicksortPartition(data, IndexZero, IndexLength);
sortQuicksortArray(data, IndexZero, partition-1);
sortQuicksortArray(data, partition+1, IndexLength);
}
}

The quicksort algorithm is not stable by nature.
There are already some good answers on quora.
In short, each partition is not stable, because quick sort may swap the outer elements before the middle elements.
for example,
// original
4(a) 4(b) 3 2(a) 2(b)
^ ^
// after first partition
2(b) 4(b) 3 2(a) 4(a)
^ ^
// after second partition
2(b) 2(a) 3 4(b) 4(a)
Since the partition is not stable, the overall algorithm cannot be stable.

You can make the quicksort sorting stable when you save the elements which are smaller or bigger than the pivot in two temporary lists (or one array) and add them back to the original input array when you have separated the values. The pseudo algorithm looks like this:
public int createQuicksortPartition(Integer[] data, int startIndex, int endIndex){
List<Integer> lower = new ArrayList<Integer>();
List<Integer> higher = new ArrayList<Integer>();
Integer pivot = data[endIndex];
for (int i=startIndex; i<endIndex; i++) {
if (data[i] < pivot) {
lower.add(data[i]);
} else {
higher.add(data[i]);
}
// readd them to the input array
for (int i=0; i<lower.size(); i++) {
data[startIndex+i] = lower.get(i);
}
data[startIndex+lower.size()] = pivot;
for (int i=0; i<higher.size(); i++) {
data[startIndex+lower.size()+i] = higher.get(i);
}
return startIndex+lower.size();
}
(untested pseudo code)
This obviously need O(n) additional space to have a copy of the data to sort. You also have to take extra care for the pivot element and the "higher" elements, which are equal to that pivot. These have to added before the pivot element to ensure that the sorting is stable, because the pivot element was the last element from the input array. In this case the ordering should be:
Elements smaller than the pivot
Elements equal the pivot
The pivot itself
Elements greater than the pivot
You can solve this by using three lists for smaller, equal and greater values and add them back to the input array accordingly.

Trying to sort an array of randomized integers from biggest to smallest using a bubble sort

So as part of a task, I was asked to create an array with randomized values within a range, and then to sort it from smallest to biggest (I used a bubble sort), and then to firstly, print the sum of all the elements in the array, then to list them from smallest to biggest.
My issue is that I keep getting the ArrayIndexOutOfBoundsException error, but cannot find where this problem lies.
You can see in the code that I've put in the randomArrays method, a for loop that creates the random values for the array size I declared in the main method, then, underneath the for loop, I've created an if statement that checks to see if an element's value is bigger than the element after it, if it is, it swaps the place of the elements, until they're all sorted into smallest to biggest, and the loop is terminated.
Any help is much appreciated, thank you :)
public class MyArray {
public static void main(String[] args) {
int[] elements = new int[50];
int min = 0;
int max = 50;
randomArrays(elements, max, min);
}
public static void randomArrays(int[] elements, int max, int min) {
int range = max - min; //defines the range of the integers
int temp;
boolean fixed = false;
while (fixed == false) {
fixed = true;
for (int i = 0; i < elements.length; i++) {
elements[i] = min + (int) (Math.random() * range);
while (i < elements.length) {
if (elements[i] > elements[i + 1]) {
//if 8 > 5
temp = elements[i + 1];
//store 5 in temp
elements[i + 1] = elements[i];
//put the 8 in the 5's place
elements[i] = temp;
fixed = false;
}
i++;
}
}
}
}
//System.out.println(elements[i]);
}

My issue is that I keep getting the ArrayIndexOutOfBoundsException
error, but cannot find where this problem lies.
Problem lies in the condition of the for loop. You get ArrayOutOfBounds exception when i=49 and then you try to access i+1 index which doesn't exists.
Change
for (int i = 0; i < elements.length; i++)
to
for (int i = 0; i < elements.length-1; i++)

As you can already see that your code is going out of the arrays limit.
if you look at your code, following is where this is happening
while (i < elements.length) {
Its this while loop part, so if you change it to correctly loop thru the right number of elements, your problem will be resolved..change your while loop code with this one
while (i < elements.length-1) {

Changing 2D ArrayList code to 2D array code

I found this code online and it works well to permute through the given array and return all possible combinations of the numbers given. Does anyone know how to change this code to incorporate a 2D array instead?
public static ArrayList<ArrayList<Integer>> permute(int[] numbers) {
ArrayList<ArrayList<Integer>> permutations = new ArrayList<ArrayList<Integer>>();
permutations.add(new ArrayList<Integer>());
for ( int i = 0; i < numbers.length; i++ ) {
ArrayList<ArrayList<Integer>> current = new ArrayList<ArrayList<Integer>>();
for ( ArrayList<Integer> p : permutations ) {
for ( int j = 0, n = p.size() + 1; j < n; j++ ) {
ArrayList<Integer> temp = new ArrayList<Integer>(p);
temp.add(j, numbers[i]);
current.add(temp);
}
}
permutations = new ArrayList<ArrayList<Integer>>(current);
}
return permutations;
}
This is what I have attempted:
public static int[][] permute(int[] numbers){
int[][] permutations = new int[24][4];
permutations[0] = new int[4];
for ( int i = 0; i < numbers.length; i++ ) {
int[][] current = new int[24][4];
for ( int[] permutation : permutations ) {
for ( int j = 0; j < permutation.length; j++ ) {
permutation[j] = numbers[i];
int[] temp = new int[4];
current[i] = temp;
}
}
permutations = current;
}
return permutations;
}
However this returns all zeroes. I chose 24 and 4 because that is the size of the 2D array that I need.
Thanks

It’s not really that easy. The original code exploits the more dynamic behaviour of ArrayList, so a bit of hand coding will be necessary. There are many correct thoughts in your code. I tried to write an explanation of the issues I saw, but it became too long, so I decided to modify your code instead.
The original temp.add(j, numbers[i]); is the hardest part to do with arrays since it invloves pushing the elements to the right of position j one position to the right. In my version I create a temp array just once in the middle loop and shuffle one element at a time in the innermost loop.
public static int[][] permute(int[] numbers) {
// Follow the original here and create an array of just 1 array of length 0
int[][] permutations = new int[1][0];
for (int i = 0; i < numbers.length; i++) {
// insert numbers[i] into each possible position in each array already in permutations.
// create array with enough room: when before we had permutations.length arrays, we will now need:
int[][] current = new int[(permutations[0].length + 1) * permutations.length][];
int count = 0; // number of new permutations in current
for (int[] permutation : permutations) {
// insert numbers[i] into each of the permutation.length + 1 possible positions of permutation.
// to avoid too much shuffling, create a temp array
// and use it for all new permutations made from permutation.
int[] temp = Arrays.copyOf(permutation, permutation.length + 1);
for (int j = permutation.length; j > 0; j--) {
temp[j] = numbers[i];
// remember to make a copy of the temp array
current[count] = temp.clone();
count++;
// move element to make room for numbers[i] at next position to the left
temp[j] = temp[j - 1];
}
temp[0] = numbers[i];
current[count] = temp.clone();
count++;
}
assert count == current.length : "" + count + " != " + current.length;
permutations = current;
}
return permutations;
}
My trick with the temp array means I don’t get the permutations in the same order as in the origianl code. If this is a requirement, you may copy permutation into temp starting at index 1 and shuffle the opposite way in the loop. System.arraycopy() may do the initial copying.

The problem here is that you really need to implement properly the array version of the ArrayList.add(int,value) command. Which is to say you do an System.arraycopy() and push all the values after j, down one and then insert the value at j. You currently set the value. But, that overwrites the value of permutation[j], which should actually have been moved to permutations[j+1] already.
So where you do:
permutation[j] = numbers[i];
It should be:
System.arraycopy(permutation,j, permutations, j+1, permutations.length -j);
permutation[j] = numbers[i];
As the ArrayList.add(int,value) does that. You basically wrongly implemented it as .set().
Though personally I would scrap the code and go with something to dynamically make those values on the fly. A few more values and you're talking something prohibitive with regard to memory. It isn't hard to find the nth index of a permutation. Even without allocating any memory at all. (though you need a copy of the array if you're going to fiddle with such things without incurring oddities).
public static int[] permute(int[] values, long index) {
int[] returnvalues = Arrays.copyOf(values,values.length);
if (permutation(returnvalues, index)) return returnvalues;
else return null;
}
public static boolean permutation(int[] values, long index) {
return permutation(values, values.length, index);
}
private static boolean permutation(int[] values, int n, long index) {
if ((index == 0) || (n == 0)) return (index == 0);
int v = n-(int)(index % n);
int temp = values[n];
values[n] = values[v];
values[v] = temp;
return permutation(values,n-1,index/n);
}

Making 2 Modifications to a Bubblesort Program

I have to make the following 2 modifications to a simple bubblesort program:
After the first pass, the largest number is guaranteed to be in the highest-numbered element of the array; after the second pass, the two highest numbers are “in place”; and so on. Instead of making nine comparisons on every pass, modify the bubble sort to make eight comparisons on the second pass, seven on the third, and so on.
The data in the array may already be in the proper order or near proper order, so why make nine passes if fewer will suffice? Modify the sort to check at the end of each pass if any swaps have been made. If none have been made, the data must already be in the proper order, so the program should terminate. If swaps have been made, at least one more pass is needed."
Any help as to how I should approach these would be greatly appreciated!
//sort elements of array with bubble sort
public static void bubbleSort (int array2[])
{
//loop to control number of passes
for (int pass = 1; pass < array2.length; pass++)
{
//loop to control number of comparisons
for (int element = 0; element < array2.length - 1; element++)
{
//compare side-by-side elements and swap them if
//first element is greater than second element
if (array2[element] > array2[element + 1]){
swap (array2, element, element + 1);
}
}
}
}
//swap two elements of an array
public static void swap (int array3[], int first, int second)
{
//temporary holding area for swap
int hold;
hold = array3[first];
array3[first] = array3[second];
array3[second] = hold;
}

I think this will do for you. A boolean is added to check and the run (j) is subtracted from the input.length for each run.
public static int[] bubbleSort(int input[])
{
int i, j, tmp;
bool changed;
for (j = 0; j < input.length; j++)
{
changed = false;
for (i = 1; i < input.length - j; i++)
{
if (tmp[i-1] > input[i])
{
tmp= input[i];
input[i] = input[i-1];
input[i-1] = tmp;
changed = true;
}
}
if (!changed) return input;
}
return input;
}

A Sorted Integer List

So the original code is
// An (unsorted) integer list class with a method to add an
// integer to the list and a toString method that returns the contents
// of the list with indices.
//
// ****************************************************************
public class IntList {
private int[] list;
private int numElements = 0;
//-------------------------------------------------------------
// Constructor -- creates an integer list of a given size.
//-------------------------------------------------------------
public IntList(int size) {
list = new int[size];
}
//------------------------------------------------------------
// Adds an integer to the list. If the list is full,
// prints a message and does nothing.
//------------------------------------------------------------
public void add(int value) {
if (numElements == list.length) {
System.out.println("Can't add, list is full");
} else {
list[numElements] = value;
numElements++;
}
}
//-------------------------------------------------------------
// Returns a string containing the elements of the list with their
// indices.
//-------------------------------------------------------------
public String toString() {
String returnString = "";
for (int i = 0; i < numElements; i++) {
returnString += i + ": " + list[i] + "\n";
}
return returnString;
}
}
and
// ***************************************************************
// ListTest.java
//
// A simple test program that creates an IntList, puts some
// ints in it, and prints the list.
//
// ***************************************************************
import java.util.Scanner ;
public class ListTest {
public static void main(String[] args) {
Scanner scan = new Scanner(System.in);
IntList myList = new IntList(10);
int count = 0;
int num;
while (count < 10) {
System.out.println("Please enter a number, enter 0 to quit:");
num = scan.nextInt();
if (num != 0) {
myList.add(num);
count++;
} else {
break;
}
}
System.out.println(myList);
}
}
I need to change the add method to sort from lowest to highest. This is what I tried doing.
// An (unsorted) integer list class with a method to add an
// integer to the list and a toString method that returns the contents
// of the list with indices.
//
// ****************************************************************
public class IntList {
private int[] list;
private int numElements = 0;
//-------------------------------------------------------------
// Constructor -- creates an integer list of a given size.
//-------------------------------------------------------------
public IntList(int size) {
list = new int[size];
}
//------------------------------------------------------------
// Adds an integer to the list. If the list is full,
// prints a message and does nothing.
//------------------------------------------------------------
public void add(int value) {
if (numElements == list.length) {
System.out.println("Can't add, list is full");
} else {
list[numElements] = value;
numElements++;
for (int i = 0; i < list.length; i++) {
if (list[i] > value) {
for (int j = list.length - 1; j > i; j--) {
list[j] = list[j - 1];
list[i] = value;
break;
}
}
}
for (in i = 0; i < list.length; i++) {
}
}
}
//-------------------------------------------------------------
// Returns a string containing the elements of the list with their
// indices.
//-------------------------------------------------------------
public String toString() {
String returnString = "";
for (int i = 0; i < numElements; i++) {
returnString += i + ": " + list[i] + "\n";
}
return returnString;
}
}
The outcome is very wrong. Any one able to steer me in the right direction? I can sort of see why what I have doesn't work, but I can't see enough to fix it.
So I realize I was not very descriptive here the first time. With the exception of the add method modifications the code was not my doing. My assignment is to only touch the add method to sort the array to print out smallest to largest. This is a beginners class and we do little to no practice my only tools for this are some basic understandings of loops and arrays.
I tried redoing it again and came up with this:
if(list[numElements-1] > value){
for(int i=0; i<numElements; i++){
if(list[i]>value){
for(int j = numElements; j>i; j-- ){
list[j] = list[j-1];
}
list[i] = value;
break;
}
}
numElements++;
}
else
{
list[numElements] = value;
numElements++;
}
my input was:8,6,5,4,3,7,1,2,9,10
the output was: 1,10,1,9,10,1,1,2,9,10
this thing is kicking my butt. I understand I want to check the input number to the array and move all numbers higher than it up one space and enter it behind those so it is sorted on entry, but doing so is proving difficult for me. I apologize if my code on here is hard to follow formatting is a little odd on here for me and time only allows for me to do my best. I think break is not breaking the for loop with i like i thought it would. Maybe that is the problem.

The biggest bug I see is using list.length in your for loop,
for(int i = 0; i <list.length; i++)
you have numElements. Also, I think it's i that needs to stop one before like,
for(int i = 0; i < numElements - 1; i++)
and then
for (int j = numElements; j > i; j--)

There are two lines that have to be moved out of the inner loop:
for (int i = 0; i < list.length; i++) {
if (list[i] > value) {
for (int j = list.length - 1; j > i; j--) {
list[j] = list[j - 1];
// list[i] = value;
// break;
}
list[i] = value;
break:
}
}
In particular, the inner break means that the loop that is supposed to move all larger elements away to make room for the new value only runs once.

You might want to include Java.util.Arrays which has its own sort function:
http://www.tutorialspoint.com/java/util/arrays_sort_int.htm
Then you can do:
public void add(int value) {
if (numElements == list.length) {
System.out.println("Can't add, list is full");
}
else {
list[numElements] = value;
numElements++;
Arrays.sort(list);
//Or: Java.util.Arrays.sort(list);
}
}

As Eliott remarked, you are getting confused between list.length (the capacity of your list) and numElements (the current size of your list). Also, though, you do not need to completely sort the list on each addition if you simply make sure to insert each new element into the correct position in the first place. You can rely on the rest of the list already to be sorted. Here's a simple and fast way to do that:
public void add(int value) {
if (numElements == list.length) {
System.out.println("Can't add, list is full");
} else {
int insertionPoint = Arrays.binarySearch(list, 0, numElements);
if (insertionPoint < 0) {
insertionPoint = -(insertionPoint + 1);
}
System.arrayCopy(list, insertionPoint, list, insertionPoint + 1,
numElements - insertionPoint);
list[insertionPoint] = value;
numElements += 1;
}
}
That will perform better (though you may not care for this assignment), and it is much easier to see what's going on, at least for me.

Here are some hints.
First, numElements indicates how many elements are currently in the list. It's best if you change it only after you have finished adding your item, like the original method did. Otherwise it may confuse you into thinking you have more elements than you really do at the moment.
There is really no need for a nested loop to do proper adding. The logic you should be following is this:
I know everything already in the list is sorted.
If my number is bigger then the biggest number (which is the one indexed by numElements-1, because the list is sorted) then I can just add my number to the next available cell in the array (indexed by numElements) and then update numElements and I'm done.
If not, I need to start from the last element in the array (careful, don't look at the length of the array. The last element is indexed by numElements-1!), going down, and move each number one cell to the right. When I hit a cell that's lower than my number, I stop.
Moving all the high numbers one cell to the right caused one cell to become "empty". This is where I'm going to put my number. Update numElements, and done.
Suppose you want to add the number 7 to this array:
┌─┬──┬──┬─┬─┐
│3│14│92│-│-│
└─┴──┴──┴─┴─┘
⬆︎ Last element
You move everything starting from the last element (92) to the right. You stop at the 3 because it's not bigger than 7.
┌─┬─┬──┬──┬─┐
│3│-│14│92│-│
└─┴─┴──┴──┴─┘
(The second element will probably still contain 14, but you're going to change that in the next step so it doesn't matter. I just put a - there to indicate it's now free for you to enter your number)
┌─┬─┬──┬──┬─┐
│3│7│14│92│-│
└─┴─┴──┴──┴─┘
⬆︎ Updated last element
This requires just one loop, without nesting. Be careful and remember that the array starts from 0, so you have to make sure not to get an ArrayIndexOutOfBoundsException if your number happens to be lower than the lowest one.

One problem I spotted is that: you are trying to insert the newly added number into the array. However your loop:
for (int i = 0; i < list.length; i++) {
if (list[i] > value) {
for (int j = list.length - 1; j > i; j--) {
list[j] = list[j - 1];
list[i] = value;
break;
}
}
}
is always looped through the total length of the array, which is always 10 in your test, rather than the actual length of the array, i.e. how many numbers are actually in the array.
For example, when you add the first element, it still loops through all 10 elements of the array, although the last 9 slots does not have value and are automatically assigned zero.
This caused your if statement always returns true:
if (list[i] > value)
if you have to write the sort algorithm yourself, use one of the commonly used sorting algorithm, which can be found in Wikipedia.

If any one was curious I finally worked it out. Thank you to everyone who replied. This is what i ended up with.
public void add(int value)
{
if(numElements == 0){
list[numElements] = value;
numElements++;
}
else{
list[numElements] = value;
for(int check = 0; check < numElements; check++){
if(list[check] > value){
for(int swap = numElements; swap> check; swap--){
list[swap] = list[swap-1];
}
list[check] = value;
break;
}
}
numElements++;
}
}

so my original is the same but we have to make another class
A Sorted Integer List
File IntList.java contains code for an integer list class. Save it to your project and study it; notice that the only things you can do are create a list of a fixed size and add an element to a list. If the list is already full, a message will be printed. File ListTest.java contains code for a class that creates an IntList, puts some values in it, and prints it. Save this to your folder and compile and run it to see how it works.
Now write a class SortedIntList that extends IntList. SortedIntList should be just like IntList except that its elements should always be in sorted order from smallest to largest. This means that when an element is inserted into a SortedIntList it should be put into its sorted place, not just at the end of the array. To do this you’ll need to do two things when you add a new element:
Walk down the array until you find the place where the new element should go. Since the list is already sorted you can just keep looking at elements until you find one that is at least as big as the one to be inserted.
Move down every element that will go after the new element, that is, everything from the one you stop on to the end. This creates a slot in which you can put the new element. Be careful about the order in which you move them or you’ll overwrite your data!
Now you can insert the new element in the location you originally stopped on.
All of this will go into your add method, which will override the add method for the IntList class. (Be sure to also check to see if you need to expand the array, just as in the IntList add() method.) What other methods, if any, do you need to override?
To test your class, modify ListTest.java so that after it creates and prints the IntList, it creates and prints a SortedIntList containing the same elements (inserted in the same order). When the list is printed, they should come out in sorted order.