Assessment 2: Decision Making

These assessments will be focused on performing mathematical calculations on grids. Why grids? I hope you have fun with these problems and view them as puzzles. Remember, if you're stuck for more than 20 minutes on a homework problem such as these, post a message to Piazza (and see the questions and answers there while you wait for a response)! We love to answer questions on Piazza!
Instructions

This assessment is designed to be completed in fifty minutes or less. Your code must work on any valid inputs to receive credit.

Complete the template below such that you will provide code to solve the following problem. When you are satisfied with your solution, you should upload your solution, you should upload it to Blackboard. Each assessment comes with test cases that you can run before submitting your assignment, so you know how you're doing on it.

Imagine that the user specifies with width and height of a grid, and provides a tile in that grid. You will write code to determine if the tile is within the first, second, third, or fourth quadrant on the grid, labelled as follows:

1 2
3 4

Your code should return one of the four integers to indicate which quadrant the tile is on. For example, on an 4x5 grid, tile 18 is in quadrant 4.

If the tile straddles a quadrant, it should be assigned to be the higher, and/or more left, quadrant. For example, on a 5x5 grid, tile 13 (the center tile) would be in quadrant 1.

Draw these two grids out on a sheet of paper to help you visualize the problem.

You may use the following formulas in your solution as needed:

row = (tile - 1) / width

column = (tile - 1) % width


Code Template and Test cases

Download the code template.