The question is a little complex. The problem here is to get rid of duplicates and save the unique elements of array into another array with their original sequence.
As Thomas suggested in a comment, if each element of the array is guaranteed to be from a limited set of values (such as a char) you can achieve this in O(n) time.
bool (or int if your compiler doesn't support bool) or however many different discrete values could possibly be in the array. Initialize all the values to false.bool array is false, add it to the output array and set the bool array value to true. Otherwise, do nothing.