(Duplicate Elimination) Use a one-dimensional array to solve the following problem: Write an application that inputs five numbers, each between 10 and 100 , inclusive. As each number is read, display it only if it's not a duplicate of a number already read. Provide for the "worst case," in which all five numbers are different. Use the smallest possible array to solve this problem. Display the complete set of unique values input after the user enters each new value.

In programming, an array is a collection of elements that can be accessed by indexing. In Java, a one-dimensional array is like a list of items with a fixed size, where each item can be a number, character, object, etc., and has a specific position referred to by an index.

For the given duplicate elimination problem, a one-dimensional array is ideal because it allows us to store a sequence of numbers. Since the size of input is known and fixed (five numbers), we can use an array of size five to hold these values. Initialization of the array is crucial, as it sets up each element with a default value that signifies an empty or unused position - typically a value outside the acceptable input range. This initialization helps in tracking which positions in the array are still available for storing unique numbers.

Input validation is an essential aspect of reliable applications. It ensures that the user's input meets the application's criteria before proceeding with further processing. In Java, the Scanner class is commonly used to read user input.

For our exercise, input validation involves checking whether the provided number is between 10 and 100. This is critical to prevent erroneous data from being processed. If a user tries to input a number outside of this range, the program should prompt them to re-enter a valid number. This loop of validation continues until the user complies, which safeguards the integrity of the array's data.

Storing unique values is a frequent necessity in software development to avoid duplicate data, which can lead to inaccurate results. In our case, we aim to store unique numbers from user input. To achieve this, every new number entered by the user must be checked against existing numbers in the array.

If the current input number doesn't match any of the numbers already stored in the array, it is considered unique, and therefore, it's stored in the array. We use the first empty position for the new unique number, indicated by our predefined placeholder value. This systematic approach to storing unique values helps maintain the integrity and the intended functionality of the array.

Array iteration is the process of accessing each element in an array, one by one, usually with the purpose of performing some operation on the elements. In Java, this can be done using a for-loop or an enhanced for-loop, also known as the for-each loop.

In the context of our duplicate elimination problem, iteration is used after all inputs have been received to display all unique values. We loop through the array, checking if the element is not the placeholder value to determine if it is a unique number that should be displayed. Iterating over the array allows us to systematically access and process each element, ensuring that all unique entries are presented to the user.