Assignment 1

A collection of grayscale images is stored in memory as one continuous one-dimensional array, where each pixel occupies one array element. Each grayscale image has a resolution of 32 × 24 pixels (width × height), and the images are organized into batches of 8 images. Pixels within an image are stored from left to right and top to bottom (row-major order). Images within a batch are stored one after another, and batches are also stored one after another. Write a C++ program that reads a memory position (array index) and determines the corresponding:

• batch number

• image number within the batch

• row

• column

All numbers start from 0. Each image contains 32 x 24 = 768 pixels, and each batch therefore contains 8 x 768 = 6144 pixels. For example:

Enter the memory position: 7000

The position corresponds to

Batch: 1

Image: 1

Row: 2

Column: 24

• Explanation

  • The calculation is as follows: Using integer division 7000 / 6144 = 1, so the pixel is located in batch 1. Its position within that batch is 7000  mod  6144 = 856. The image number within the batch is 856 / 768 = 1, and the position within that image is 856  mod  768 = 88. Finally, 88 / 32 = 2 and 88  mod  32 = 24, so the result is the same as shown in the example above.

• The input is guaranteed to be a valid integer in the range 0 to 99,999, so you do not need to perform any input validation.

• The outputs of  your program should be exactly the same as those in the input-output samples. 

  • Every character in the output (spaces, newlines, punctuation, and letters) should be identical to the provided samples.

  • Before submitting assignments, ensure that your program successfully handles the input-output examples provided above.

• Output formatting:

  • Check the code template first, so you’ll know the expected input and output before you start coding.

    • It is recommended to modify the code template to complete the assignment.

    • Many students made mistakes because they started coding after looking only at the example, without carefully checking the required output format.

  • The following line is from the code template.

    • cout << "Batch: " << variable1 << endl;

  • The following is INCORRECT, because it removes a space from the string enclosed by double quotes.

    • cout << "Batch:" << variable1 << endl;

  • The following is INCORRECT, because it outputs extra line breaks caused by system("pause").

    • cout << "Batch: " << variable1 << endl; system("pause");

  • The following is INCORRECT, because it outputs extra endl.

    • cout << "Batch: " << variable1 << endl; cout << endl;

• Suggestions:

  • Rename variable0 through variable4 with meaningful names.

  • Remove comments.

    • Typically, if your variable names are descriptive, there's no need to include comments.

  • Ensure that you use the integer type (not floating-point) throughout your code for this assignment.