update to the sudoku readme

update

CodingProjects/Sudoku/readme.md

@@ -1,7 +1,42 @@
 # This is the section for the Sudoku Solver on my Website
 
-## Important Note: This file does not have the JavaScript or Web-needed functions. Simply a command-line interface.
+# Important Note: 
 
-### The Documentation here is Light for now...
+This file does not have the JavaScript or Web-needed functions. Simply a command-line interface; no GUI (possibly will add one later).
+
+## Can be found on my Website
+
+The Sudoku Solver program has a nifty visual app on my website found 
+[here](https://andrew-morgan-website.herokuapp.com/programming-repo/sudoku-solver). 
+
+## What Can the Program Do?
+
+The Sudoku Solver can solve N-by-N puzzles using backtracking and intelligent searching algorithms. By N-by-N 
+Sudoku boards, I mean boards like: 6 by 6 (36 total numbers to fill) or 9 by 9 (default; 81 total numbers to fill) 
+or 12 by 12 (144 total numbers to fill). It is important to note that the numbers must not be prime (n != prime).
+
+The solution is fast, but does struggle with larger boards as the complexity blows up (I mean 15 by 15 or larger). 
+These larger boards need more initial squares filled in or the algorithm takes some time. This is caused by my 
+algorithm implementing more generic searching algorithm and not a Sudoku puzzle-specific algorithm. Regardless, my 
+algorithm far surpasses the speed for solving Sudoku's with pure brute-force backtracking.
+
+I use 2 primary forms of heuristics:
+
+1. Variable selection: I choose the variable (cell of the puzzle) that has the *LEAST* number of viable options.
+
+2. Value Selection: For that variable I select (from 1.), I select the value of that cell to be the *LEAST 
+ constraining* to allow other cells to have the most number of options.
+
+3. Finally, I use basic inferencing to ensure that the value selected does not cause other variables to become 
+impossible to fill.
+
+I used the 3rd Edition of Artificial Intelligence: A Modern Approach by Stuart J Russell and Peter Norvig which 
+is considered the best intro to AI textbook (quite good and well-written, as well). Can be found 
+[here](https://cs.calvin.edu/courses/cs/344/kvlinden/resources/AIMA-3rd-edition.pdf)
+
+## Requirements 
 
 The requirements to run are python (version 3), Math (sqrt), Random (choice, randint), intertools (default), time (default)
+
+
+