Background

In this assignment you will be implementing a portion of a Geographic Information System $($GIS$).$ A GIS is a computer system used to organize, categorize,

and analyze geographical data in order to produce accurate depiction of the real world. The system uses multiple layers of information to achieve this task.

The data layers are split into a grid and represented as a matrix with $m$ rows and $n$ columns where each entry in the matrix contains the type of land at that

point on the map. An entry $A_{ij}$ is the ith row and jth column in our map matrix. We assume that $A_{00}$ is the first element in our matrix. The graphic below will

assist in visualizing the process: