# Help Huffman Coding>>

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• July 22nd, 2011, 04:32 AM
cool_97
Help Huffman Coding>>
Hi
I need help in the following code
Attachment 664
there are some missing functions need to complete
QueueTree
makeHuffTree
makeCodeTable
decode

note : this is a homework :D and it's due date is Sunday 24th July
so any help soon is appreciated . :cool:
• July 22nd, 2011, 07:04 AM
Norm
Re: Help Huffman Coding>>
You need to show the code you have with comments that describe how you are implementing the algorithm and your questions about the problems you are having.

You better put in a little more effort than this post shows if you want it done so soon.
• July 22nd, 2011, 09:33 AM
cool_97
Re: Help Huffman Coding>>
This is Node class
----------------

Code :

```// huffman.java // demonstrates Huffman trees // to run this program: C>java HuffmanApp import java.io.*; import java.util.*; // for Stack class //////////////////////////////////////////////////////////////// class Node { public char ch; // letter public int freq; // instances of this letter public Node leftChild; // this node's left child public Node rightChild; // this node's right child // ------------------------------------------------------------- Node(char c, int f) // constructor { ch = c; freq = f; } // ------------------------------------------------------------- public void displayNode() // display ourself { System.out.print( ch + "" + freq ); } } // end class Node //////////////////////////////////////////////////////////////// class Tree { public Node root; // first node of tree // ------------------------------------------------------------- public Tree(Node nd) // constructor { root = nd; } // root of tree from argument // ------------------------------------------------------------- public int getFreq() // returns node's word freq { return root.freq; } // ------------------------------------------------------------- public void display() { Stack globalStack = new Stack(); globalStack.push(root); int nBlanks = 32; boolean isRowEmpty = false; System.out.println( "......................................................"); while(isRowEmpty==false) { Stack localStack = new Stack(); isRowEmpty = true;   for(int j=0; j<nBlanks; j++) System.out.print(' ');   while(globalStack.isEmpty()==false) { Node temp = (Node)globalStack.pop(); if(temp != null) { temp.displayNode(); localStack.push(temp.leftChild); localStack.push(temp.rightChild);   if(temp.leftChild != null || temp.rightChild != null) isRowEmpty = false; } else { System.out.print("--"); localStack.push(null); localStack.push(null); } for(int j=0; j<nBlanks*2-2; j++) System.out.print(' '); } // end while globalStack not empty System.out.println(); nBlanks /= 2; while(localStack.isEmpty()==false) globalStack.push( localStack.pop() ); } // end while isRowEmpty is false System.out.println( "......................................................"); } // end displayTree() // ------------------------------------------------------------- } // end class Tree //////////////////////////////////////////////////////////////// class PriorityQ { // array in sorted order, from max at 0 to min at size-1 private int maxSize; private Tree[] queArray; private int nItems; //------------------------------------------------------------- public PriorityQ(int s) // constructor { maxSize = s; queArray = new Tree[maxSize]; nItems = 0; } //------------------------------------------------------------- public void insert(Tree item) // insert item { int j;   if(nItems==0) // if no items, queArray[nItems++] = item; // insert at 0 else // if items, { for(j=nItems-1; j>=0; j--) // start at end, { // if new item larger, if( item.root.freq > queArray[j].root.freq ) queArray[j+1] = queArray[j]; // shift upward else // if smaller, break; // done shifting } // end for queArray[j+1] = item; // insert it nItems++; } // end else (nItems > 0) } // end insert() //------------------------------------------------------------- public Tree remove() // remove minimum item { return queArray[--nItems]; } //------------------------------------------------------------- public Tree peekMin() // peek at minimum item { return queArray[nItems-1]; } //------------------------------------------------------------- public boolean isEmpty() // true if queue is empty { return (nItems==0); } //------------------------------------------------------------- public boolean isFull() // true if queue is full { return (nItems == maxSize); } //------------------------------------------------------------- public int getSize() { return nItems; } //------------------------------------------------------------- } // end class PriorityQ```
////////////////////////////////////////////////////////////////
• July 22nd, 2011, 09:43 AM
cool_97
Re: Help Huffman Coding>>
here is the class huffman where i need help in the following functions
private void queueTrees(){
for each char in the frequancy table loop{
if freq =0 do nothing
else
creat a new node contains the char and the frequency
creat a tree for the node
insert node in priority queue
}

}

private void makeHuffTree(){
loop until one tree in the queue {
dequeu first node
deququ second node
add the frequency of one and two
creat a new tree with new frequencies as it's root
connect the new tree in the correct place in the queue
}
}
private void makeCodeTable(Node nd, String bc)
{
if the node is not a leaf{
(external node ) (add symbol like + to make it recognizable, nd.ch=='+')
call it recursively
makecodetable (nd.leftchild,bc+"0");

makecodetable (nd.rightchild,bc+"0");
}
else it is aa leaf node so put it in code table
}
public void decode()

-----------------------------------------------------------------------

Code :

```import java.io.*; import java.util.*; class Huffman { private PriorityQ theQueue; private String inString; // input from user private int strlen; private String capsString; // converted to all caps private Tree[] treeArray; private Tree huffTree; // Huffman tree private int freqTable[]; // letter frequencies private int alphabetSize; // size of frequency table private String codeTable[]; // code for each letter private String codedMsg; // binary string private String decodedMsg; // back to original msg // ------------------------------------------------------------- Huffman(String s) // constructor { inString = s; strlen = inString.length(); alphabetSize = 28; // 26 letters, cr, lf theQueue = new PriorityQ(alphabetSize); // make the queue capsString = ""; codeTable = new String[alphabetSize]; // make code table   makeFreqTable(); // construct frequency table queueTrees(); // put one-node trees in queue makeHuffTree(); // construct Huffman tree } // end constructor // ------------------------------------------------------------- public void displayTree() { if(huffTree != null) huffTree.display(); } // ------------------------------------------------------------- private void makeFreqTable() { freqTable = new int[alphabetSize]; int temp; char sp = 32; // space for(int j=0; j<strlen; j++) // for every char { // of user's input msg char ch = inString.charAt(j); if(ch>96 && ch<123) // lowercase (97-122) { temp = (int)ch - 32; // convert to upper ch = (char)temp; // (65-90) } if(ch==32) // space becomes 91 ch = 91; else if(ch==10) // linefeed becomes 92 ch = 92; else if(ch<65 || ch>92) // if not uppercase continue; // letter, ignore it capsString = capsString + ch; // add to caps string int index = (int)ch - 65; // convert to 0 to 27 freqTable[index]++; // keep count in } // end for // frequency table System.out.println(capsString); // all-caps string for(int j=0; j<28; j++) // row of characters System.out.print( (char)(j+65) + " "); System.out.println(""); for(int j=0; j<28; j++) // row of frequencies System.out.print(freqTable[j] + " "); System.out.println(""); } // end makeFreqTable() // ------------------------------------------------------------- private void queueTrees() // put trees in queue { // for each char in frequency table forget unused characters   // make node   // make tree // put the tree in queue   } // end queueTrees() // ------------------------------------------------------------- private void makeHuffTree() // make Huffman tree {     } // end makeHuffTree() // ------------------------------------------------------------- private void makeCodeTable(Node nd, String bc) {   } // end makeCodeTable() // ------------------------------------------------------------- public void code() // encode the msg { makeCodeTable(huffTree.root, ""); for(int j=0; j<alphabetSize; j++) // display code table { if(codeTable[j] == null) continue; char ch = (char)(j+65); System.out.println(ch + " " + codeTable[j]); } codedMsg = ""; // encode the msg for(int j=0; j<capsString.length(); j++) // for each char { // get the code int index = (int)capsString.charAt(j) - 65; codedMsg = codedMsg + codeTable[index]; // add to msg } System.out.println("Coded message:\n" + codedMsg); } // end code() // ------------------------------------------------------------- public void decode() { } // end decode() // ------------------------------------------------------------- } // end class Huffman```
• July 22nd, 2011, 09:43 AM
Norm
Re: Help Huffman Coding>>
Please edit your code and wrap it in code tags. Use Go Advanced and the # icon.
Quote:

This is Node class
What is your problem with the code you posted? I don't see any questions about your code.
• July 22nd, 2011, 09:46 AM
cool_97
Re: Help Huffman Coding>>
main class

Code :

```import java.io.*; import java.util.*;   class HuffmanApp { public static void main(String[] args) throws IOException { Huffman huff = null; int value; String str;   while(true) { System.out.print("Enter first letter of "); System.out.print("enter, show, code, or decode: "); int choice = getChar(); switch(choice) { case 'e': System.out.println( "Enter text lines, terminate with \$"); str = getText(); huff = new Huffman(str); break; case 's': huff.displayTree(); break; case 'c': huff.code(); break; case 'd': huff.decode(); break; default: System.out.print("Invalid entry\n"); } // end switch } // end while } // end main() // ------------------------------------------------------------- public static String getString() throws IOException { InputStreamReader isr = new InputStreamReader(System.in); BufferedReader br = new BufferedReader(isr); String s = br.readLine(); return s; } // ------------------------------------------------------------- public static String getText() throws IOException { String outStr="", str = ""; while(true) { str = getString(); if( str.equals("\$") ) return outStr; outStr = outStr + str + "\n"; } } // end getText() // ------------------------------------------------------------- public static char getChar() throws IOException { String s = getString(); return s.charAt(0); } //------------------------------------------------------------- public static int getInt() throws IOException { String s = getString(); return Integer.parseInt(s); } // ------------------------------------------------------------- } // end class HuffmanApp```
• July 22nd, 2011, 09:46 AM
cool_97
Re: Help Huffman Coding>>
will do
thx
• July 22nd, 2011, 09:49 AM
Norm
Re: Help Huffman Coding>>
Thanks for using code tags.

What is your problem with the code you posted? I don't see any questions about your code.
• July 22nd, 2011, 09:51 AM
cool_97
Re: Help Huffman Coding>>
actually nothing is wrong put u could see in post # 4
there 4 empty functions need to fill them up and run the programme
• July 22nd, 2011, 09:52 AM
Norm
Re: Help Huffman Coding>>
Are you thinking that someone here is going to write the code for your "functions"? (methods in java)
• July 23rd, 2011, 12:54 AM
cool_97
Re: Help Huffman Coding>>
Quote:

Originally Posted by Norm
Are you thinking that someone here is going to write the code for your "functions"? (methods in java)

7
hmmmmmmmmmmmmm
then i'm in the wrong forum
• July 23rd, 2011, 06:37 AM
Norm
Re: Help Huffman Coding>>
Quote:

i'm in the wrong forum
Yes, If you expect someone here to write your code for you.
• July 23rd, 2011, 07:25 AM
cool_97
Re: Help Huffman Coding>>
Quote:

Originally Posted by Norm
Yes, If you expect someone here to write your code for you.

ok be a dear
and help me
in the following code is it correct
PHP Code:

```  private void queueTrees()             // put trees in queue       {        HuffmanApp a = new HuffmanApp();       for (int i =0;i<freqTable.length;i++){           if (freqTable[i]==0)               continue;           else{               char l = codeTable[i].charAt(i);               Node newNode = new Node (l,freqTable[i]);                              Tree t1 = new Tree(newNode);               theQueue.insert(t1);           }       }  ```
PHP Code:

```  private void makeHuffTree()           // make Huffman tree       {        for (int i=1;i<alphabetSize;i++){            Tree a=theQueue.remove();            int freq1=a.getFreq();            Tree b =theQueue.remove();            int freq2=b.getFreq();            int newfreq =freq1+freq2;            Node newNode = new Node(' ',newfreq);            Tree c = new Tree(newNode);            theQueue.insert(c);        }              }  ```
PHP Code:

```  private void makeCodeTable(Node nd, String bc)       {        if (nd.leftChild!=null && nd.rightChild!=null){            makeCodeTable(nd.leftChild,bc+"0");            makeCodeTable(nd.rightChild,bc+"1");        }        else             codeTable=codeTable+bc;   }  // end makeCodeTable()  ```
this one don't know what to do with it
PHP Code:

```   public void decode()       {       }  // end decode()  ```
• July 23rd, 2011, 08:38 AM
Norm
Re: Help Huffman Coding>>
Quote:

the following code is it correct
Does your program output the correct result?
If not, please explain what is wrong with the output and show what it needs to look like.

You've posted bits and pieces of your code, but I'm not sure if it is all here for anyone to compile and execute and test with.
• July 23rd, 2011, 11:13 AM
cool_97
Re: Help Huffman Coding>>
Quote:

Originally Posted by cool_97
here is the class huffman where i need help in the following functions
private void queueTrees(){
for each char in the frequancy table loop{
if freq =0 do nothing
else
creat a new node contains the char and the frequency
creat a tree for the node
insert node in priority queue
}

}

private void makeHuffTree(){
loop until one tree in the queue {
dequeu first node
deququ second node
add the frequency of one and two
creat a new tree with new frequencies as it's root
connect the new tree in the correct place in the queue
}
}
private void makeCodeTable(Node nd, String bc)
{
if the node is not a leaf{
(external node ) (add symbol like + to make it recognizable, nd.ch=='+')
call it recursively
makecodetable (nd.leftchild,bc+"0");

makecodetable (nd.rightchild,bc+"0");
}
else it is aa leaf node so put it in code table
}
public void decode()

-----------------------------------------------------------------------

Code :

```import java.io.*; import java.util.*; class Huffman { private PriorityQ theQueue; private String inString; // input from user private int strlen; private String capsString; // converted to all caps private Tree[] treeArray; private Tree huffTree; // Huffman tree private int freqTable[]; // letter frequencies private int alphabetSize; // size of frequency table private String codeTable[]; // code for each letter private String codedMsg; // binary string private String decodedMsg; // back to original msg // ------------------------------------------------------------- Huffman(String s) // constructor { inString = s; strlen = inString.length(); alphabetSize = 28; // 26 letters, cr, lf theQueue = new PriorityQ(alphabetSize); // make the queue capsString = ""; codeTable = new String[alphabetSize]; // make code table   makeFreqTable(); // construct frequency table queueTrees(); // put one-node trees in queue makeHuffTree(); // construct Huffman tree } // end constructor // ------------------------------------------------------------- public void displayTree() { if(huffTree != null) huffTree.display(); } // ------------------------------------------------------------- private void makeFreqTable() { freqTable = new int[alphabetSize]; int temp; char sp = 32; // space for(int j=0; j<strlen; j++) // for every char { // of user's input msg char ch = inString.charAt(j); if(ch>96 && ch<123) // lowercase (97-122) { temp = (int)ch - 32; // convert to upper ch = (char)temp; // (65-90) } if(ch==32) // space becomes 91 ch = 91; else if(ch==10) // linefeed becomes 92 ch = 92; else if(ch<65 || ch>92) // if not uppercase continue; // letter, ignore it capsString = capsString + ch; // add to caps string int index = (int)ch - 65; // convert to 0 to 27 freqTable[index]++; // keep count in } // end for // frequency table System.out.println(capsString); // all-caps string for(int j=0; j<28; j++) // row of characters System.out.print( (char)(j+65) + " "); System.out.println(""); for(int j=0; j<28; j++) // row of frequencies System.out.print(freqTable[j] + " "); System.out.println(""); } // end makeFreqTable() // ------------------------------------------------------------- private void queueTrees() // put trees in queue { // for each char in frequency table forget unused characters   // make node   // make tree // put the tree in queue   } // end queueTrees() // ------------------------------------------------------------- private void makeHuffTree() // make Huffman tree {     } // end makeHuffTree() // ------------------------------------------------------------- private void makeCodeTable(Node nd, String bc) {   } // end makeCodeTable() // ------------------------------------------------------------- public void code() // encode the msg { makeCodeTable(huffTree.root, ""); for(int j=0; j<alphabetSize; j++) // display code table { if(codeTable[j] == null) continue; char ch = (char)(j+65); System.out.println(ch + " " + codeTable[j]); } codedMsg = ""; // encode the msg for(int j=0; j<capsString.length(); j++) // for each char { // get the code int index = (int)capsString.charAt(j) - 65; codedMsg = codedMsg + codeTable[index]; // add to msg } System.out.println("Coded message:\n" + codedMsg); } // end code() // ------------------------------------------------------------- public void decode() { } // end decode() // ------------------------------------------------------------- } // end class Huffman```

Quote:

Originally Posted by cool_97
This is Node class
----------------

Code :

```// huffman.java // demonstrates Huffman trees // to run this program: C>java HuffmanApp import java.io.*; import java.util.*; // for Stack class //////////////////////////////////////////////////////////////// class Node { public char ch; // letter public int freq; // instances of this letter public Node leftChild; // this node's left child public Node rightChild; // this node's right child // ------------------------------------------------------------- Node(char c, int f) // constructor { ch = c; freq = f; } // ------------------------------------------------------------- public void displayNode() // display ourself { System.out.print( ch + "" + freq ); } } // end class Node //////////////////////////////////////////////////////////////// class Tree { public Node root; // first node of tree // ------------------------------------------------------------- public Tree(Node nd) // constructor { root = nd; } // root of tree from argument // ------------------------------------------------------------- public int getFreq() // returns node's word freq { return root.freq; } // ------------------------------------------------------------- public void display() { Stack globalStack = new Stack(); globalStack.push(root); int nBlanks = 32; boolean isRowEmpty = false; System.out.println( "......................................................"); while(isRowEmpty==false) { Stack localStack = new Stack(); isRowEmpty = true;   for(int j=0; j<nBlanks; j++) System.out.print(' ');   while(globalStack.isEmpty()==false) { Node temp = (Node)globalStack.pop(); if(temp != null) { temp.displayNode(); localStack.push(temp.leftChild); localStack.push(temp.rightChild);   if(temp.leftChild != null || temp.rightChild != null) isRowEmpty = false; } else { System.out.print("--"); localStack.push(null); localStack.push(null); } for(int j=0; j<nBlanks*2-2; j++) System.out.print(' '); } // end while globalStack not empty System.out.println(); nBlanks /= 2; while(localStack.isEmpty()==false) globalStack.push( localStack.pop() ); } // end while isRowEmpty is false System.out.println( "......................................................"); } // end displayTree() // ------------------------------------------------------------- } // end class Tree //////////////////////////////////////////////////////////////// class PriorityQ { // array in sorted order, from max at 0 to min at size-1 private int maxSize; private Tree[] queArray; private int nItems; //------------------------------------------------------------- public PriorityQ(int s) // constructor { maxSize = s; queArray = new Tree[maxSize]; nItems = 0; } //------------------------------------------------------------- public void insert(Tree item) // insert item { int j;   if(nItems==0) // if no items, queArray[nItems++] = item; // insert at 0 else // if items, { for(j=nItems-1; j>=0; j--) // start at end, { // if new item larger, if( item.root.freq > queArray[j].root.freq ) queArray[j+1] = queArray[j]; // shift upward else // if smaller, break; // done shifting } // end for queArray[j+1] = item; // insert it nItems++; } // end else (nItems > 0) } // end insert() //------------------------------------------------------------- public Tree remove() // remove minimum item { return queArray[--nItems]; } //------------------------------------------------------------- public Tree peekMin() // peek at minimum item { return queArray[nItems-1]; } //------------------------------------------------------------- public boolean isEmpty() // true if queue is empty { return (nItems==0); } //------------------------------------------------------------- public boolean isFull() // true if queue is full { return (nItems == maxSize); } //------------------------------------------------------------- public int getSize() { return nItems; } //------------------------------------------------------------- } // end class PriorityQ```
////////////////////////////////////////////////////////////////

Quote:

Originally Posted by cool_97
main class

Code :

```import java.io.*; import java.util.*;   class HuffmanApp { public static void main(String[] args) throws IOException { Huffman huff = null; int value; String str;   while(true) { System.out.print("Enter first letter of "); System.out.print("enter, show, code, or decode: "); int choice = getChar(); switch(choice) { case 'e': System.out.println( "Enter text lines, terminate with \$"); str = getText(); huff = new Huffman(str); break; case 's': huff.displayTree(); break; case 'c': huff.code(); break; case 'd': huff.decode(); break; default: System.out.print("Invalid entry\n"); } // end switch } // end while } // end main() // ------------------------------------------------------------- public static String getString() throws IOException { InputStreamReader isr = new InputStreamReader(System.in); BufferedReader br = new BufferedReader(isr); String s = br.readLine(); return s; } // ------------------------------------------------------------- public static String getText() throws IOException { String outStr="", str = ""; while(true) { str = getString(); if( str.equals("\$") ) return outStr; outStr = outStr + str + "\n"; } } // end getText() // ------------------------------------------------------------- public static char getChar() throws IOException { String s = getString(); return s.charAt(0); } //------------------------------------------------------------- public static int getInt() throws IOException { String s = getString(); return Integer.parseInt(s); } // ------------------------------------------------------------- } // end class HuffmanApp```

these are the classes that i have u could compile but 3 out of four functions don't work
PHP Code:

``` Enter first letter of enter, show, code, or decode: e Enter text lines, terminate with \$ cool \$ COOL A B C Exception in thread "main" java.lang.NullPointerException     at Huffman.queueTrees(Huffman.java:76)     at Huffman.<init>(Huffman.java:27)     at HuffmanApp.main(HuffmanApp.java:23) D E F G H I J K L M N O P Q R S T U V W X Y Z [   0 0 1 0 0 0 0 0 0 0 0 1 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1  ```
actually this function was working and it did decode them but after modifying some functions it didn't
• July 23rd, 2011, 11:24 AM
Norm
Re: Help Huffman Coding>>
Quote:

java.lang.NullPointerException
at Huffman.queueTrees(Huffman.java:76)
For this error, look at line 76 and see what variable can be null. Then back track to see why that variable does not have a valid value.
If you can't tell which variable is null, add a println before line 76 to print out the values of all the variables.
• July 23rd, 2011, 11:45 AM
Norm
Re: Help Huffman Coding>>
To test your code there needs to be correct input. Here is a technique to make sure that everyone uses the same input. Put the input into a String and use the Scanner class.

Code :

``` static Scanner scnr = new Scanner("e\ncool\n\$\n\n"); // preload the responses   // ------------------------------------------------------------- public static String getString() { //throws IOException { // InputStreamReader isr = new InputStreamReader(System.in); // BufferedReader br = new BufferedReader(isr); // String s = br.readLine(); return scnr.nextLine(); // get the response from the String above }```
• July 23rd, 2011, 11:52 AM
Norm
Re: Help Huffman Coding>>
You have too many "magic" numbers in your code in place of self defining literals. That makes it impossible for anyone reading the code to easily understand what it is doing.
For example:
char sp = 32;
vs
char sp = ' ';

What does this 65 represent?
int index = (int)ch - 65; // convert to 0 to 27
• July 23rd, 2011, 12:35 PM
cool_97
Re: Help Huffman Coding>>
Ok let me explain
these three classes were given to us in class to complete the missing functions

the programme do the following
take a line of charecters then print them and encode them to 0's and 1's
after that printing them
there is a frequency table to check how many times each letter occuer and code table to save them
it also decode wich convert them from 1's and 0's to the letters
and that's that
• July 23rd, 2011, 12:59 PM
Norm
Re: Help Huffman Coding>>
Another comment on the coding style: too many methods are static. There should be a short main and the rest of the code should be in the constructor:
Code :

``` public static void main(String[] args) { //<<<<<<<<<<<<<< new HuffmanApp(); }   Huffman huff = null; //<<<<<<<<<<<<< an instance variable NOTE<<<   //------------------------- public HuffmanApp() {```
• July 23rd, 2011, 01:12 PM
dlorde
Re: Help Huffman Coding>>
The idea of this forum is that you post the code that isn't working and we help you figure out what's wrong with it so you can fix it. We're not generally that interested in writing it for you - neither of us will learn anything useful.

If you can't post up your effort at writing the code, try explaining which specific parts of the task you don't understand. If you have an algorithm for decoding Huffman Code, post it and explain where you're having difficulty translating it to Java. If you don't have an algorithm, you need to find one (not really a Java problem).

You need to know how to do the tasks required by those methods before writing any code. If you can't write out a detailed step-by-step sequence in English for each task, focus on that first. Then we can help you translate your steps into Java.
• July 23rd, 2011, 03:29 PM
cool_97
Re: Help Huffman Coding>>
plz visit thread # 14 i posted my effort
and i have already posted the algorithm
og each function and the purpose of it
thx
• July 23rd, 2011, 03:33 PM
Norm
Re: Help Huffman Coding>>
Some confusion here. post#14 is my post.
Quote:

i posted my effort
What methods are the ones that you wrote?

Look at my post #17.
I need the input for testing the code.
I want it to come from a String as per #17, not from the keyboard.
• July 23rd, 2011, 03:36 PM
cool_97
Re: Help Huffman Coding>>
queueTrees()
makeHuffTree()
makeCodeTable
but not sure if it's correct
• July 23rd, 2011, 03:37 PM
cool_97
Re: Help Huffman Coding>>
i meant 13#
sry
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