I have an unsorted array, what is the best method to remove all the duplicates of an element if present?

e.g:

```
a[1,5,2,6,8,9,1,1,10,3,2,4,1,3,11,3]
```

so after that operation the array should look like

```
a[1,5,2,6,8,9,10,3,4,11]
```

0 votes

I have an unsorted array, what is the best method to remove all the duplicates of an element if present?

e.g:

```
a[1,5,2,6,8,9,1,1,10,3,2,4,1,3,11,3]
```

so after that operation the array should look like

```
a[1,5,2,6,8,9,10,3,4,11]
```

0 votes

The naive solution is to check every element against every other element. This is wasteful and yields an O(n^{2}) solution, even if you only go "forward".

A better solution is sort the array and then check each element to the one next to it to find duplicates. Choose an efficient sort and this is O(n log n).

The disadvantage with the sort-based solution is order is not maintained. An extra step can take care of this however. Put all entries (in the unique sorted array) into a hashtable, which has O(1) access. Then iterate over the original array. For each element, check if it is in the hash table. If it is, add it to the result and delete it from the hash table. You will end up with a resultant array that has the order of the original with each element being in the same position as its first occurrence.

If you're dealing with integers of some fixed range you can do even better by using a radix sort. If you assume the numbers are all in the range of 0 to 1,000,000 for example, you can allocate a bit vector of some 1,000,001. For each element in the original array, you set the corresponding bit based on its value (eg a value of 13 results in setting the 14th bit). Then traverse the original array, check if it is in the bit vector. If it is, add it to the result array and clear that bit from the bit vector. This is O(n) and trades space for time.

Which leads us to the best solution of all: the sort is actually a distraction, though useful. Create a hashtable with O(1) access. Traverse the original list. If it is not in the hashtable already, add it to the result array and add it to the hash table. If it is in the hash table, ignore it.

This is by far the best solution. So why the rest? Because problems like this are about adapting knowledge you have (or should have) to problems and refining them based on the assumptions you make into a solution. Evolving a solution and understanding the thinking behind it is far more useful than regurgitating a solution.

Also, hash tables are not always available. Take an embedded system or something where space is VERY limited. You can implement an quick sort in a handful of opcodes, far fewer than any hash table could be.

0 votes

This can be done in amortized O(n) using a hashtable-based set.

Psuedo-code:

```
s := new HashSet
c := 0
for each el in a
Add el to s.
If el was not already in s, move (copy) el c positions left.
If it was in s, increment c.
```

0 votes

Treat numbers as keys.

```
for each elem in array:
if hash(elem) == 1 //duplicate
ignore it
next
else
hash(elem) = 1
add this to resulting array
end
```

If you know about the data like the range of numbers and if it is finite, then you can initialize that big array with ZERO's.```
array flag[N] //N is the max number in the array
for each elem in input array:
if flag[elem - 1] == 0
flag[elem - 1] = 1
add it to resulatant array
else
discard it //duplicate
end
```

0 votes

If you don't need to keep the original object you can loop it and create a new array of unique values. In C# use a List to get access to the required functionality. It's not the most attractive or intelligent solution, but it works.

```
int[] numbers = new int[] {1,2,3,4,5,1,2,2,2,3,4,5,5,5,5,4,3,2,3,4,5};
List<int> unique = new List<int>();
foreach (int i in numbers)
if (!unique.Contains(i))
unique.Add(i);
unique.Sort();
numbers = unique.ToArray();
```

0 votes

My solution(`O(N)`

) does not use additional memory, but array must been sorted(my class using insertion sort algorithm, but it doesn't matter.):

```
public class MyArray
{
//data arr
private int[] _arr;
//field length of my arr
private int _leght;
//counter of duplicate
private int countOfDup = 0;
//property length of my arr
public int Length
{
get
{
return _leght;
}
}
//constructor
public MyArray(int n)
{
_arr = new int[n];
_leght = 0;
}
// put element into array
public void Insert(int value)
{
_arr[_leght] = value;
_leght++;
}
//Display array
public void Display()
{
for (int i = 0; i < _leght; i++) Console.Out.Write(_arr[i] + " ");
}
//Insertion sort for sorting array
public void InsertSort()
{
int t, j;
for (int i = 1; i < _leght; i++)
{
t = _arr[i];
for (j = i; j > 0; )
{
if (_arr[j - 1] >= t)
{
_arr[j] = _arr[j - 1];
j--;
}
else break;
}
_arr[j] = t;
}
}
private void _markDuplicate()
{
//mark duplicate Int32.MinValue
for (int i = 0; i < _leght - 1; i++)
{
if (_arr[i] == _arr[i + 1])
{
countOfDup++;
_arr[i] = Int32.MinValue;
}
}
}
//remove duplicates O(N) ~ O(2N) ~ O(N + N)
public void RemoveDups()
{
_markDuplicate();
if (countOfDup == 0) return; //no duplicate
int temp = 0;
for (int i = 0; i < _leght; i++)
{
// if duplicate remember and continue
if (_arr[i] == Int32.MinValue) continue;
else //else need move
{
if (temp != i) _arr[temp] = _arr[i];
temp++;
}
}
_leght -= countOfDup;
}
}
```

And Main

```
static void Main(string[] args)
{
Random r = new Random(DateTime.Now.Millisecond);
int i = 11;
MyArray a = new MyArray(i);
for (int j = 0; j < i; j++)
{
a.Insert(r.Next(i - 1));
}
a.Display();
Console.Out.WriteLine();
a.InsertSort();
a.Display();
Console.Out.WriteLine();
a.RemoveDups();
a.Display();
Console.ReadKey();
}
```

0 votes

This is a code segment i created in C++, Try out it

```
#include <iostream>
using namespace std;
int main()
{
cout << " Delete the duplicate" << endl;
int numberOfLoop = 10;
int loopCount =0;
int indexOfLargeNumber = 0;
int largeValue = 0;
int indexOutput = 1;
//Array to hold the numbers
int arrayInt[10] = {};
int outputArray [10] = {};
// Loop for reading the numbers from the user input
while(loopCount < numberOfLoop){
cout << "Please enter one Integer number" << endl;
cin >> arrayInt[loopCount];
loopCount = loopCount + 1;
}
outputArray[0] = arrayInt[0];
int j;
for (int i = 1; i < numberOfLoop; i++) {
j = 0;
while ((outputArray[j] != arrayInt[i]) && j < indexOutput) {
j++;
}
if(j == indexOutput){
outputArray[indexOutput] = arrayInt[i];
indexOutput++;
}
}
cout << "Printing the Non duplicate array"<< endl;
//Reset the loop count
loopCount =0;
while(loopCount < numberOfLoop){
if(outputArray[loopCount] != 0){
cout << outputArray[loopCount] << endl;
}
loopCount = loopCount + 1;
}
return 0;
}
```

0 votes

```
indexOutput = 1;
outputArray[0] = arrayInt[0];
int j;
for (int i = 1; i < arrayInt.length; i++) {
j = 0;
while ((outputArray[j] != arrayInt[i]) && j < indexOutput) {
j++;
}
if(j == indexOutput){
outputArray[indexOutput] = arrayInt[i];
indexOutput++;
}
}
```

0 votes

```
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collection;
import java.util.HashMap;
import java.util.HashSet;
import java.util.List;
import java.util.Set;
public class testing {
public static void main(String[] args) {
EligibleOffer efg = new EligibleOffer();
efg.setCode("1234");
efg.setName("hey");
EligibleOffer efg1 = new EligibleOffer();
efg1.setCode("1234");
efg1.setName("hey1");
EligibleOffer efg2 = new EligibleOffer();
efg2.setCode("1235");
efg2.setName("hey");
EligibleOffer efg3 = new EligibleOffer();
efg3.setCode("1235");
efg3.setName("hey");
EligibleOffer[] eligibleOffer = { efg, efg1,efg2 ,efg3};
removeDupliacte(eligibleOffer);
}
public static EligibleOffer[] removeDupliacte(EligibleOffer[] array) {
List list = Arrays.asList(array);
List list1 = new ArrayList();
int len = list.size();
for (int i = 0; i <= len-1; i++) {
boolean isDupliacte = false;
EligibleOffer eOfr = (EligibleOffer) list.get(i);
String value = eOfr.getCode().concat(eOfr.getName());
if (list1.isEmpty()) {
list1.add(list.get(i));
continue;
}
int len1 = list1.size();
for (int j = 0; j <= len1-1; j++) {
EligibleOffer eOfr1 = (EligibleOffer) list1.get(j);
String value1 = eOfr1.getCode().concat(eOfr1.getName());
if (value.equals(value1)) {
isDupliacte = true;
break;
}
System.out.println(value+"\t"+value1);
}
if (!isDupliacte) {
list1.add(eOfr);
}
}
System.out.println(list1);
EligibleOffer[] eligibleOffer = new EligibleOffer[list1.size()];
list1.toArray(eligibleOffer);
return eligibleOffer;
}
}
```

...