diff --git a/.gitignore b/.gitignore
index 0338737..ea5f22e 100644
--- a/.gitignore
+++ b/.gitignore
@@ -46,3 +46,4 @@ hs_err_pid*
 /Lab108-VenbergGE/nbproject/private/
 /Lab108-VenbergGE/build/
 /Lab108-VenbergGE/dist/
+/Lab109/build/
diff --git a/Lab109/src/ASCIITable.java b/Lab109/src/ASCIITable.java
new file mode 100644
index 0000000..4ceff25
--- /dev/null
+++ b/Lab109/src/ASCIITable.java
@@ -0,0 +1,181 @@
+/*
+ * Copyright (C) 2021 Gabriel Venberg
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program.  If not, see <http://www.gnu.org/licenses/>.
+ */
+
+/**
+ * utility library for nicely formatted ascii tables.
+ * @author Gabriel Venberg
+ */
+public class ASCIITable {
+    
+    /**
+     * generates an ASCII table based on a 2d data array. the top level array is an array of rows.
+     * @param data 2d array containing data to put in table
+     * @param padding how much padding to put on each side of entries
+     * @param tableHeader string to put in the table header (may cause problems if extremely long)
+     * @param columnHeaders array of strings to put at the top of each column.
+     * @return 
+     */
+    public static String render(Object data[][], int padding, String tableHeader, String[] columnHeaders) throws IllegalArgumentException {
+        int cols = calcNoCols(data);
+        if(cols!=columnHeaders.length){throw new IllegalArgumentException("must have equal number of column headers as columns!");}
+        int[] colWidths = calcColumnWidth(cols, data, columnHeaders);
+        //colWidths does not count padding or the | chars betwwen tables.
+        int width = sumOfArray(colWidths)+padding*cols*2+(cols-1);
+        String horizontalSpacer = assembleHorizontalSpacers(colWidths, padding, cols);
+        /*ok, so each cell will have the colwidth for the data, then padding for padding,
+        * then a | at the end. (plus 1 at the begginning of the table.
+        there will be 2 rows for each row of data (horizontal sep) plus a horizontal sep
+        at the end.
+        */
+        String string = horizontalSpacer+'\n';
+        //print table header
+        string=string+tableHeader(tableHeader, width)+"\n";
+        string = string+horizontalSpacer+"\n";
+        //print coumn headers
+        string=string+columnHeaderString(colWidths, padding, columnHeaders)+'\n';
+        //got everything set up, build the table row by row.
+        for(int i=0; i<data.length; i++){
+            string = string+horizontalSpacer+"\n";
+            string = string+dataString(colWidths, padding, data[i])+'\n';
+        }
+        string = string+horizontalSpacer;
+        return string;
+    }
+    
+    private static String tableHeader(String header, int width){
+        String string="|";
+        int halfPadding=(width-header.length())/2;
+        //front padding
+        for(int i=0; i<halfPadding; i++){string=string+" ";}
+        //if the total padding we need is odd, put it in front of the header
+        if((width-header.length())%2==1){string=string+" ";}
+        string=string+header;
+        //rear padding
+        for(int i=0; i<halfPadding; i++){string=string+" ";}
+        string=string+"|";
+        return string;
+    }
+    
+    /**
+     * calcs the sum of all elements in an int array
+     * @param array array to be summed
+     * @return sum of array
+     */
+    private static int sumOfArray(int[] array){
+        int sum=0;
+        for(int i=0; i<array.length; i++){
+            sum += array[i];
+        }
+        return sum;
+    }
+    
+    /**
+     * calculates the maximum number of entries the rows in the data set have
+     * @param data 2D array of data
+     * @return needed number of rows in the final table.
+     */
+    private static int calcNoCols(Object data[][]){
+        int rows = 0;
+        for(int i=0; i<data.length; i++){
+            rows = Math.max(rows, data[i].length);
+        }
+        return rows;
+    }
+    
+    /**
+     * calculates the needed column widths for a data array without padding
+     * @param data the array of data
+     * @return an array of integers representing the needed width of each column
+     */
+    private static int[] calcColumnWidth(int cols, Object data[][], String[] headers){
+        int[] maxWidths = new int[cols];
+        for(int i=0; i<cols; i++){
+            maxWidths[i]=headers[i].length();
+            for(int j=0; j<data.length; j++){
+                maxWidths[i]=Math.max(maxWidths[i], data[j][i].toString().length());
+            }
+        }
+        
+        return maxWidths;
+    }
+    
+    /**
+     * gives the horizontal spacer needed for the table
+     * @param colWidth width of each column;
+     * @param padding padding on each side of data.
+     * @param noOfCols number of columns;
+     * @return a string suitable to use as the horizontal spacer for the table.
+     */
+    private static String assembleHorizontalSpacers(int[] colWidth, int padding, int noOfCols){
+        String string = "+";
+        for(int i=0; i<noOfCols; i++){
+            for(int j=0; j<colWidth[i]+2*padding; j++){
+                string = string+'-';
+            }
+            string = string+'+';
+        }
+        return string;
+    }
+    
+    /**
+     * takes a single row of the data array and returns a row. Make sure your colWidth is accurate.
+     * @param colWidth width of each column
+     * @param padding min padding to have around each entry
+     * @param data 1D array of data to print
+     * @return a string containing the data
+     */
+    private static String dataString(int[] colWidth, int padding, Object data[]){
+        String string ="|";
+        //for each entry in the row
+        for(int i=0; i<data.length; i++){
+            //only calc this once.
+            int length=data[i].toString().length();
+            // front padding. Also, I wish java had string multiplication.
+            for(int p=0; p<padding+(colWidth[i]-length); p++){string = string+" ";}
+            string = string+data[i].toString();
+            //rear padding
+            for(int p=0; p<padding; p++){string = string+" ";}
+            string = string+"|";
+        }
+        return string;
+    }
+    
+    /**
+     * takes an array of strings (column headers) and outputs a single row of the column, center justified.
+     * @param colWidth width of each column
+     * @param padding min padding around each entry
+     * @param columnHeaders 1d array of strings containing col headers
+     * @return 
+     */
+    private static String columnHeaderString(int[] colWidth, int padding, String columnHeaders[]){
+        String string="|";
+        for(int i=0; i<columnHeaders.length; i++){
+            //calc this once.
+            int length=columnHeaders[i].length();
+            int sidePadding=(colWidth[i]-length+padding*2)/2;
+            //front padding
+            for(int p=0; p<sidePadding; p++){string=string+" ";}
+            //if we need an odd number of total padding, add the spare on the front
+            if((colWidth[i]-length)%2==1){string=string+" ";}
+            string=string+columnHeaders[i];
+            //rear padding
+            for(int p=0; p<sidePadding; p++){string=string+" ";}
+            string=string+"|";
+        }
+        return string;
+    }
+}
diff --git a/Lab109/src/AbstractPriorityQueue.java b/Lab109/src/AbstractPriorityQueue.java
new file mode 100644
index 0000000..a3d5021
--- /dev/null
+++ b/Lab109/src/AbstractPriorityQueue.java
@@ -0,0 +1,60 @@
+
+import java.util.Comparator;
+
+/*
+ * Data Structures & Algorithms 6th Edition 
+ * Goodrich, Tamassia, Goldwasser
+ * Code Fragments 9.6
+ * 
+ * An implementation of the AbstractPriorityQueue class
+ * */
+
+/**
+ * 
+ * @author Gabriel Venberg
+ */
+public abstract class AbstractPriorityQueue<K,V> implements PriorityQueue<K,V> {
+    
+    //nested PQEntry class
+    protected static class PQEntry<K,V> implements Entry<K,V> {
+        private K k;
+        private V v;
+        public PQEntry(K key, V value){
+            k=key;
+            v=value;
+        }
+        //methods of entry interface
+        public K getKey(){return k;}
+        public V getValue(){return v;}
+        //utilites not exposed
+        protected void setKey(K key){k=key;}
+        protected void setValue(V value){v=value;}
+    }
+    //end of nested class
+    
+    /** the comparator defining ordering of keys into the priority queue.*/
+    private Comparator<K> comp;
+    
+    /** Creates an empty priority queue using the given comparator to order keys. */
+    protected AbstractPriorityQueue(Comparator<K> c){comp=c;}
+    
+    /** creates an empty priority queue based on the natrual ordering of its keys */
+    protected AbstractPriorityQueue(){this(new DefaultComparator<K>());}
+    
+    /** method for comparing two entries according to the key*/
+    protected int compare(Entry<K,V> a, Entry<K,V> b){
+        return comp.compare(a.getKey(), b.getKey());
+    }
+    
+    /** determines whether a key is valid*/
+    protected boolean checkKey(K key) throws IllegalArgumentException {
+        try{
+            return (comp.compare(key,key)==0); //see if the key can be compared
+        }catch(ClassCastException e){
+            throw new IllegalArgumentException("incompatable key");
+        }
+    }
+    
+    /**tests whether the priority queue is empty*/
+    public boolean isEmpty(){return size()==0;}
+}
diff --git a/Lab109/src/Client.java b/Lab109/src/Client.java
new file mode 100644
index 0000000..ca990b8
--- /dev/null
+++ b/Lab109/src/Client.java
@@ -0,0 +1,122 @@
+
+import java.io.File;
+import java.io.FileNotFoundException;
+import java.util.ArrayList;
+import java.util.Scanner;
+import javax.swing.JOptionPane;
+
+/*
+ * Copyright (C) 2021 Gabriel Venberg
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ * GNU General Public License for more details.
+ *
+ * You should have received p copy of the GNU General Public License
+ * along with this program.  If not, see <http://www.gnu.org/licenses/>.
+ */
+
+/**
+ *
+ * @author Gabriel Venberg
+ */
+public class Client {
+    public static void main(String[] args){
+         String filePath = (String) JOptionPane.showInputDialog(null, "Enter the path of the file", "/home/toric/Downloads/words/words.txt");
+        File file = new File(filePath);
+        Scanner fileContents = null;
+        try {
+            fileContents = new Scanner(file);
+        } catch (FileNotFoundException ex) {
+            JOptionPane.showMessageDialog(null, "file does not exist.");
+            System.exit(1);
+        }
+        
+        ArrayList<String> words = new ArrayList<>();
+        
+        while(fileContents.hasNext()){
+            words.add(fileContents.next());
+        }
+        
+        String[][] hashData = new String[15][3];
+
+        for(int a=30; a<45; a++){
+            //tried using this using an array of buckets, it got... messy
+            HeapPriorityQueue<Integer,Integer> hashes = new HeapPriorityQueue<>();
+            for(int i=0; i< words.size(); i++){
+                //the value doesnt matter
+                hashes.insert(Hashing.polynomialHashCode(words.get(i), a), a);
+            }
+            
+            int totalColisions=0, maxColisions=0, currentColisions=0;
+            
+            //used to detect 'boundries' between groups of hash codes.
+            int prevHash=hashes.removeMin().getKey();
+            while(!hashes.isEmpty()){
+                //if its the same as the previous, it is p collision.
+                int currentHash=hashes.removeMin().getKey();
+                if(currentHash==prevHash){
+                    currentColisions++;
+                    totalColisions++;
+                }
+                //we have reached the end of that 'block', store our max collisions (if applicable), and reset current colisions.
+                else{
+                    maxColisions=Math.max(maxColisions, currentColisions);
+                    currentColisions=0;
+                    prevHash=currentHash;
+                }
+            }
+            
+            //write the table for value of a
+            hashData[a-30][0]=String.format("%,d", a);
+            hashData[a-30][1]=String.format("%,d", maxColisions);
+            hashData[a-30][2]=String.format("%,d", totalColisions);
+        }
+        String[] colHeaders={"a", "max collisions", "total collisions"};
+        System.out.println(ASCIITable.render(hashData, 2, "Polynomial hash code", colHeaders));
+        
+        //lets have p be 92000. (for appropriate load factor). first prime number after is 92003
+        String[][] compressionData = new String[10][3];
+        for(int p=91998; p<92008; p++){
+            //tried using this using an array of buckets, it got... messy
+            HeapPriorityQueue<Integer,Integer> compressions = new HeapPriorityQueue<>();
+            for(int i=0; i< words.size(); i++){
+                //the value doesnt matter
+                compressions.insert(Hashing.madCompression(Hashing.polynomialHashCode(words.get(i), 33), 92000, p, 6578, 75245), p);
+            }
+            
+            int totalColisions=0, maxColisions=0, currentColisions=0;
+            
+            //used to detect 'boundries' between groups of hash codes.
+            int prevCompression=compressions.removeMin().getKey();
+            while(!compressions.isEmpty()){
+                //if its the same as the previous, it is p collision.
+                int currentCompression=compressions.removeMin().getKey();
+                if(currentCompression==prevCompression){
+                    currentColisions++;
+                    totalColisions++;
+                }
+                //we have reached the end of that 'block', store our max collisions (if applicable), and reset current colisions.
+                else{
+                    maxColisions=Math.max(maxColisions, currentColisions);
+                    currentColisions=0;
+                    prevCompression=currentCompression;
+                }
+            }
+            
+            //write the table for value of p
+            compressionData[p-91998][0]=String.format("%,d", p);
+            compressionData[p-91998][1]=String.format("%,d", maxColisions);
+            compressionData[p-91998][2]=String.format("%,d", totalColisions);
+        }
+        
+        String[] colHeaders2={"p", "max collisions", "total collisions"};
+        System.out.println(ASCIITable.render(compressionData, 2, "MAD compression", colHeaders2));
+    }
+}
diff --git a/Lab109/src/DefaultComparator.java b/Lab109/src/DefaultComparator.java
new file mode 100644
index 0000000..d568160
--- /dev/null
+++ b/Lab109/src/DefaultComparator.java
@@ -0,0 +1,20 @@
+
+import java.util.Comparator;
+
+/*
+ * Data Structures & Algorithms 6th Edition 
+ * Goodrich, Tamassia, Goldwasser
+ * Code Fragments 9.4
+ * 
+ * An implementation of the DefaultComparator class
+ * */
+
+/**
+ *
+ * @author Gabriel Venberg
+ */
+public class DefaultComparator<E> implements Comparator<E> {
+    public int compare(E a, E b) throws ClassCastException{
+        return((Comparable<E>)a).compareTo(b);
+    }
+}
diff --git a/Lab109/src/Entry.java b/Lab109/src/Entry.java
new file mode 100644
index 0000000..a4f7d13
--- /dev/null
+++ b/Lab109/src/Entry.java
@@ -0,0 +1,16 @@
+/*
+ * Data Structures & Algorithms 6th Edition 
+ * Goodrich, Tamassia, Goldwasser
+ * Code Fragments 9.1
+ * 
+ * An implementation of the Entry Interface
+ * */
+
+/**
+ *
+ * @author Gabriel Venberg
+ */
+public interface Entry <K,V>{
+    K getKey();
+    V getValue();
+}
diff --git a/Lab109/src/Hashing.java b/Lab109/src/Hashing.java
new file mode 100644
index 0000000..1de81ae
--- /dev/null
+++ b/Lab109/src/Hashing.java
@@ -0,0 +1,57 @@
+/*
+ * Copyright (C) 2021 Gabriel Venberg
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program.  If not, see <http://www.gnu.org/licenses/>.
+ */
+
+/**
+ * an implementation of polynomial hash code and MAD compression functions
+ * @author Gabriel Venberg
+ */
+public class Hashing {
+    
+    /**
+     * hashes a given string (x0,x1,...,xn-1) by x0a^n-1+x1a^n-2+...+xn-2a+xn-1. using a given value of a
+     * @param value the string to hash
+     * @param a the value of a to use
+     * @return an int representing the resulting hash.
+     */
+    public static int polynomialHashCode(String value, int a){
+        //due to twos compliment math, we dont actually need to use longs to detect rollover, and can just use a mask to ignore the sign bit!
+        //also, wasted 2 hours because I had set this to MIN_VALUE....
+        final int mask = Integer.MAX_VALUE;
+        int hash=0;
+        //using horners rule iteratively
+        for(int i=0; i<value.length(); i++){
+            hash = (hash * a) + (int) value.charAt(i);
+        }
+        // im *pretty sure* we only need to zero the sign bit once... will test
+        return hash&mask;
+    }
+    
+    /**
+     * compresses a hash code with by multiply add divide method with given constants
+     * @param value the hash code to compress
+     * @param N the given value of N (should be the size of your bucket array if using to make hash table)
+     * @param p should be a prime number larger than N
+     * @param a random value between 1 and p-1
+     * @param b random value between 0 and p-1
+     * @return the compressed hash.
+     */
+    public static int madCompression(int value, int N, int p, int a, int b) throws IllegalArgumentException{
+        if(0>b||b>p-1){throw new IllegalArgumentException("b needs to be between 0 and p-1, inclusive.");}
+        if(0>=a||a>p-1){throw new IllegalArgumentException("a needs to be betwwen 1 and p-1, inclusive.");}
+        return ((a*value+b)%p)%N;
+    }
+}
diff --git a/Lab109/src/HeapPriorityQueue.java b/Lab109/src/HeapPriorityQueue.java
new file mode 100644
index 0000000..fbd96d1
--- /dev/null
+++ b/Lab109/src/HeapPriorityQueue.java
@@ -0,0 +1,101 @@
+
+import java.util.ArrayList;
+import java.util.Comparator;
+
+/*
+ * Data Structures & Algorithms 6th Edition 
+ * Goodrich, Tamassia, Goldwasser
+ * Code Fragments 9.8-9.9
+ * 
+ * An implementation of the heapPriortyQueue class
+ * */
+
+/**
+ *
+ * @author Gabriel Venberg
+ */
+public class HeapPriorityQueue<K,V> extends AbstractPriorityQueue<K,V> {
+    /** primary collection of priorty queue entries*/
+    protected ArrayList<Entry<K,V>> heap = new ArrayList<>();
+    /**creates an empty priority queue based on the natrual ordering of its keys*/
+    public HeapPriorityQueue(){super();}
+    /** creates an empty priorty queue using the given comparator to order keys.*/
+    public HeapPriorityQueue(Comparator<K> comp){super(comp);}
+    //protected utilities
+    protected int parent(int j){return(j-1)/2;}
+    protected int left(int j){return 2*j+1;}
+    protected int right(int j){return 2*j+2;}
+    protected boolean hasLeft(int j){return left(j)<heap.size();}
+    protected boolean hasRight(int j){return right(j)<heap.size();}
+    
+    protected void swap(int i, int j){
+        Entry<K,V> temp = heap.get(i);
+        heap.set(i, heap.get(j));
+        heap.set(j, temp);
+    }
+    
+    /** moves the entry at index j higher, if necessary, to restore heap property*/
+    protected void upheap(int j){
+        //continue till reaching root or break statemetnt
+        while(j>0){
+            int p=parent(j);
+            //heap verified
+            if(compare(heap.get(j), heap.get(p))>=0){break;}
+            swap(j,p);
+            //continue from the parents location.
+            j=p;
+        }
+    }
+    
+    /** moves the entry at index j lower, if necessayr, to restore the heap property */
+    protected void downheap(int j){
+        while(hasLeft(j)) { //continue to bottom or break statement.
+            int leftIndex=left(j);
+            //although right may be smaller
+            int smallChildIndex = leftIndex;
+            if(hasRight(j)){
+                int rightIndex=right(j);
+                if(compare(heap.get(leftIndex), heap.get(rightIndex))>0){
+                        smallChildIndex=rightIndex;
+                }
+            }
+            if(compare(heap.get(smallChildIndex), heap.get(j))>=0){break;}
+            swap(j, smallChildIndex);
+            j=smallChildIndex;
+        }
+    }
+    
+    //public methods
+    /**returns the number of items in the priority queue*/
+    public int size(){return heap.size();}
+    
+    /**returns but does not remove an entry with minimal key (if any)*/
+    public Entry<K,V> min(){
+        if(heap.isEmpty()){return null;}
+        return heap.get(0);
+    }
+    
+    /**inserts a key value pair and returns the entry created*/
+    public Entry<K,V> insert(K key, V value) throws IllegalArgumentException{
+        checkKey(key); //could throw exceptions.
+        Entry<K,V> newest = new PQEntry<>(key,value);
+        //add to end of the list
+        heap.add(newest);
+        //and upheap
+        upheap(heap.size()-1);
+        return newest;
+    }
+    
+    /**removes and returns an entry with minimal key(if any)*/
+    public Entry<K,V> removeMin(){
+        if(heap.isEmpty()){return null;}
+        Entry<K,V> answer = heap.get(0);
+        //put minimum item at the end
+        swap(0, heap.size()-1);
+        //and remove from list
+        heap.remove(heap.size()-1);
+        //then fix the new root.
+        downheap(0);
+        return answer;
+    }
+}
diff --git a/Lab109/src/PriorityQueue.java b/Lab109/src/PriorityQueue.java
new file mode 100644
index 0000000..ed45ff2
--- /dev/null
+++ b/Lab109/src/PriorityQueue.java
@@ -0,0 +1,19 @@
+/*
+ * Data Structures & Algorithms 6th Edition 
+ * Goodrich, Tamassia, Goldwasser
+ * Code Fragments 9.2
+ * 
+ * An implementation of the PriorityQueue interface
+ * */
+
+/**
+ *
+ * @author Gabriel Venberg
+ */
+public interface PriorityQueue <K,V> {
+    int size();
+    boolean isEmpty();
+    Entry<K,V> insert(K key, V value) throws IllegalArgumentException;
+    Entry<K,V> min();
+    Entry<K,V> removeMin();
+}