AP Computer Science A College Board

This subject is broken down into 58 topics in 10 modules:

  1. 2D Array 2 topics
  2. Array 4 topics
  3. ArrayList 7 topics
  4. Boolean Expressions and if Statements 7 topics
  5. Inheritance 7 topics
  6. Iteration 5 topics
  7. Primitive Types 5 topics
  8. Recursion 2 topics
  9. Using Objects 9 topics
  10. Writing Classes 10 topics
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This page was last modified on 28 September 2024.

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Computer Science A

2D Array

2D Arrays

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2D Arrays

Understanding 2D Arrays

  • An array is a data structure that stores a fixed-size sequential collection of elements of the same type.
  • A 2D array, also known as a matrix, stores data in a grid format. It has rows and columns, similar to a table.
  • In Java, a 2D array is an array of arrays. Each row of the 2D array is a 1D array.
  • 2D arrays are useful for representing data structures such as spreadsheets, grids, and games boards.

Declaration and Initialization

  • To declare a 2D array in Java, you use the syntax:

    type[][] arrayName;

  • Initialization can take place at declaration, using nested curly braces

    {}

    . For example:

    int[][] matrix = {{1,2,3},{4,5,6},{7,8,9}};

  • The size of the array can be defined during initialization as

    type arrayName[][] = new type[rows][cols];

Accessing Elements

  • Elements of a 2D array can be accessed using their row index and column index. Remember, Java is zero-indexed, so indexing starts at 0.
  • The syntax to access an element is:

    arrayName[row][column]

  • The value can be changed in a similar way:

    arrayName[row][column] = newValue;

Traversing a 2D Array

  • To traverse, or go through each element of a 2D array, we use nested loops. The outer loop iterates through the rows and the inner loop iterates through the columns.
  • Sample syntax can be:

    for(int i = 0; i < rows; i++){ for(int j = 0; j < cols; j++){ System.out.print(arrayName[i][j] + " "); } System.out.println(); }

2D Array Methods and Properties

  • You can use the

    .length

    property to get the number of rows in the 2D array. Note that this does not give the total number of elements in the array.
  • To get the number of columns, or the size of a particular row, we use

    arrayName[row].length

  • Methods that can be used with arrays include

    Arrays.toString()

    and

    Arrays.deepToString()

    for printing,

    Arrays.sort()

    for sorting, and

    Arrays.equals()

    to check if two arrays are equal.

Course material for Computer Science A, module 2D Array, topic 2D Arrays

Computer Science A

Iteration

Nested Iteration

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Nested Iteration

Introduction to Nested Iteration

  • Nested Iteration refers to a loop that is contained within another loop. It is common in programming and is a fundamental concept in Computer Science.
  • When a loop is nested within another loop, the inner loop will complete all of its iterations for each iteration of the outer loop.
  • Nested iteration often comes into play when working with multi-dimensional data structures, like arrays or lists of lists.

Basic Nested Iteration

  • The first stage of nested iteration is the external or outer loop. This loop starts and tracks the overall progress of the iterations.
  • The second stage is the internal or inner loop, which goes through its iterations for each iteration of the outer loop.
  • When using nested loops, one must ensure that all variables tied to each loop are correctly referred to. For example, the loop counter for the outer loop should not be confused with the one for the inner loop.

Iterating Over Two-Dimensional Arrays

  • Nested iteration is particularly valuable when dealing with two-dimensional arrays. In these cases, it is common to have one loop to iterate through the rows and a nested loop to iterate through each column within those rows.
  • Additionally, nested loops can be used to compare elements from different arrays, or different positions within the same array.

Optimising Nested Iteration

  • As nested loops lead to a number of iterations equal to the product of the sizes of the loops, they can be computationally expensive. This means they can significantly slow down your program when dealing with large data sets.
  • Efficient use of nested iteration requires careful consideration of what calculations are necessary within the inner loop and what can be calculated in the outer loop.
  • Break and continue statements can be used to optimise the performance of nested loops, skipping unnecessary iterations.

Advanced Nested Iteration

  • Some complex problems may require multiple levels of nesting, where there is a loop within a loop within a loop and so on. While this can be a powerful tool, it should be used judiciously as it can be difficult to follow and debug.
  • Recursion, the practice of a function calling itself, is an alternative to nested iteration for some complex problems. However, it's also a more advanced topic that requires careful thought and planning. In the same way as nested iteration, misuse can lead to performance issues.

Course material for Computer Science A, module Iteration, topic Nested Iteration

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