diff --git a/src/lib.rs b/src/lib.rs
index 1195e88..e49f49f 100644
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -97,30 +97,28 @@ impl Solver {
 
     /// Solve the system and return the indexes of the true hashes (or error if the system is unsolvable)
     pub fn attempt_solve(&self) -> Result<Vec<usize>, ()> {
+
+
         // Arrange the hashes into an augmented for matrix...
-        let mut orginal_matrix = Matrix::new(
-            (self.synthetic_max + self.threshold) as usize,
-            self.expanded_hashes.len(),
-        );
-        let mut augmented_matrix = Matrix::new(
-            (self.synthetic_max + self.threshold) as usize + self.expanded_hashes.len(),
-            self.expanded_hashes.len(),
-        );
-
         let m = (self.synthetic_max + self.threshold) as usize;
-
+        let mut augmented_matrix = Matrix::new(
+            m + self.expanded_hashes.len(),
+            self.expanded_hashes.len(),
+        );
         for j in 0..self.expanded_hashes.len() {
             for i in 0..m {
                 augmented_matrix.update(i, j, self.expanded_hashes[j as usize].0[i as usize]);
-                orginal_matrix.update(i, j, self.expanded_hashes[j as usize].0[i as usize])
             }
         }
-
+        // Append the identity matrix...
         for (i, r) in (m..m + self.expanded_hashes.len()).enumerate() {
             augmented_matrix.update(r as usize, i, PrimeOrderDomain::new(1));
         }
+
+        // Transpose for row reduction...
         augmented_matrix = augmented_matrix.transpose();
 
+        // Pretty Print...
         for i in 0..augmented_matrix.rows() {
             for j in 0..augmented_matrix.cols() {
                 print!("{} ", augmented_matrix.at(i, j as usize));
@@ -128,6 +126,7 @@ impl Solver {
             println!(";")
         }
 
+        // Do the actual row reduction...
         let cols = augmented_matrix.cols();
         let rows = augmented_matrix.rows();
 
@@ -160,11 +159,15 @@ impl Solver {
             }
         }
 
-        println!("");
-        println!("");
-        println!("");
+        println!();
+        println!();
+        println!();
+
+        // Transpose back to column form...
         augmented_matrix = augmented_matrix.transpose();
 
+
+        // Pretty Print for checking...
         for i in 0..augmented_matrix.rows() {
             for j in 0..augmented_matrix.cols() {
                 print!("{} ", augmented_matrix.at(i, j as usize));
@@ -175,7 +178,8 @@ impl Solver {
             }
         }
 
-        // Calculate the Nulls...
+        // Calculate the Kernel Basis Vectors...these are the columns where the
+        // Original matrix is now all 0s
         let mut count = 0;
         for col in (0..self.expanded_hashes.len()).rev() {
             let mut is_null = true;
@@ -193,9 +197,11 @@ impl Solver {
         }
 
         if count == 0 {
+            // Unsolvable...
             return Err(());
         }
 
+        // We found some vectors...now we can derive a solution...
         println!("Found {} Kernel Basis Vectors...", count);
         let mut solution = vec![];