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** Note ** : This was a short creative project I put together in a couple hours time as a final interview step.

🌵🏜️🛢️ Drilling for Oil in Texas 🛢️🏜️🌵

Vanderbilt Univserity Medical Center Interview Project (HIRED)

👱‍♂️ John Graham Reynolds, [email protected] 📱

Congratulations! You've inherited a large plot of land in Texas from a distant relative you didn't know you had... 🏜

Time to go Drilling for Oil!🛢️⛽

👷‍♂️ How the Program Works 👷‍♂️

This program will help you find and drill all the oil reservoirs on your land. The program accepts as input a .txt file containing on the first line two integers, M and N, separated by a space. An M x N grid of space-separated values representing a map of the land immediately follows on the remaining lines of the .txt file. The land map contains two possible values at each of the MN possible grid locations: a 'P' representing petroleum, or a 'd' representing plain ole oil-free dirt. An oil reservoir is defined as any set of oil points 'P' connected vertically and/or horizontally. You may assume that the land coordinates beyond those displayed on the map are plain ole oil-free dirt (your neighbors have already drilled their land). The land you miraculously inherited is encoded in a 4 x 5 land map called Inheritance.txt.

Inheritance.txt contains the following:

4 5
P P d d d
P P d d d
d d P d d
d d d P P

Use the program drillingForOil.cpp to find out how much oil you've acquired! Some example land maps and the number of oil reservoirs they contain are included below to help you understand the basics of the program functionality. These examples are also inlcuded in the repo if you want to run them yourself. The program will output the map that it is drilling in addition to the total number of oil reservoirs on it.

If you acquire more land beyond that which you've inherited (type up your own appropriately formatted land map .txt file), the program will count the total number oil reservoirs on it as well! Be sure to properly format the land map .txt file of the new land you've acquired to mimic those in the examples!

🏃‍♂️ How to Compile and Run the Program 🏃‍♂️

I have been using the terminal and the following command to compile the program on my Mac from within the folder housing all essential components:
g++ -std=c++17 -o drillingForOil drillingForOil.cpp

To run the program:
./drillingForOil

Feel free to use an IDE of your choice to compile and run the code. From the terminal, any and all .txt land map files must be in the same folder as the program itself.

🗺️ Land Map Examples 🗺️

A different land map Land1.txt looks like:

6 4
P P d d
P P d d
d d d d
d P d d
d d P P
d d d d

This land map contains 3 vertically and/or hortizontally connected oil reservoirs.

Another normal example Land2.txt looks like:

6 5
P d d d P
d d P d P
P P d d P
P P d d P
d d d d P
d d d d d

This land map contains 4 vertically and/or hortizontally connected oil reservoirs.

A trivial example Land3.txt:

3 3
d d d
d d d
d d d

This land map contains 0 vertically and/or hortizontally connected oil reservoirs.

And finally, a very trivial exmaple Land4.txt:

0 0

This land map contains 0 vertically and/or hortizontally connected oil reservoirs.

⭐ Important: Limitations and Drawbacks of the Program ⭐

Most importantly, the program assumes a very clean file input process. The .txt files must be correctly input into the program when prompted without typo. They must be located in the appropriate folder (same folder as the program) to be processed correctly. The program also assumes that the individual .txt files are formatted correctly: first line contains two space-separated integers M and N, representing the M x N grid of 'd' and 'P' space-separated point values on the remaining lines of the program. In other words, this program assumes the utmost accuracy in the land map file format as well as the user's ability to correctly type the name of the .txt file in when asked.

🔬 Complexity Analysis of the Program's Searching Algorithm 🔬

The working body of the program, used to search for all vertically and/or hortizontally connected oil reservoirs, is an appropriately named function drillForOil( ... ). The drillForOil( ... ) function accepts a matrix of land map coordinates read in from the land map's .txt file. It subsequently loops through each location in the M x N matrix and evaluates to see if any given point is an unearthed-oil point 'P'. If the algorithm finds such a point, it iterates the number of oil resevoirs by 1 and then calls another appropriately named helper function bfs( ... ) to do the heavy lifting (drilling that whole connected reservoir). The bfs( ... ) function is a Breadth-first Search algorithm which uses a queue to algorithmically drill (change their value to 'd') all unearthed-oil points 'P' that are vertically and/or hortizontally adjacent to the unearthed-oil point 'P' which originally triggered the helper function. If the program finds any such adjacent unearthed-oil points 'P', it drills them and then adds them to the queue to subsequently search each of their adjacent horizontal and vertical points as well. It continues this process until all connected points in the oil reservoir have been drilled. Ultimately, drillForOil( ... ) drills all and reports back how many oil reservoirs were found.

Following this logic the whole searching algorithm is sure to find and count all oil reservoirs on any given M x N land map.

For an M x N land map, the drillForOil( ... ) function works in O(M x N) time since it loops through each land map coordinate. The helper function bfs( ... ) also has a worst-case time complexity of O(M x N), assuming that the entire land map is made up of oil. In total, this gives the entire algorithm a net O(M x N) time complexity.

The bfs( ... ) helper function has a space complexity of O(min(M, N)) since the queue will grow to at most size min(M, N). Aside from the helper function's queue usage, drillForOil( ... ) uses no extra space, so the entire space complexity of the algorithm is O(min(M, N)).

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VUMC Project for Round 2 of Interview

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