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Arrays and Abstract Data type in Data Structure

Abstract Data Types and Arrays Better Explained

ADTs or abstract data types are the ways of classifying data structures by providing a minimal expected interface and some set of methods.

  • ADT
    • Minimal required functionality
    • Operations

Arrays - ADT

An array ADT holds the collection of given elements (can be int, float, custom) accessible by their index.

1- Minimal required functionality:

We have two basic functionalities of an array, a get function to assign an element to some index in the array.

  • get(i) → get element i ☆ in C → arr[i]☆
  • set(i,num) → set element i to num. ☆ in C → arr[i] = "some value" ☆

2- Operations

We can have a whole lot of different operations on the array we created, but we'll limit ourselves to some basics ones.

  • Max()
  • Min()
  • Search (num)
  • Insert (i,num)
  • Append (x)

Static and Dynamic Arrays:

  • Static Arrays → Size cannot be changed.
  • Dynamic Arrays → Size can be changed

Memory representations of arrays:

  • Elements in an arra are stored in contigous memory locations.
  • Elements in an array can be accessed using the base address in constant time → O(1)
  • Although changing the size of an array is not possible, one can always reallocate it to some bigger memory location. Therefore resizing in an array is a costly operation.