Create a Binary Tree from postfix expression - java

Let's say I have the following postfix expression : 5372-*-
I want to create a binary tree from this expression. My algoritm is : If my char is number put it into a stack if it is an operator pop two elements from the stack and make them the childs of the operator. Then push the operator into the stack. Which seems like it is working but I cannot manage to connect the little trees that I create.
My current code is :
public void myInsert(char ch, Stack s) {
if (Character.isDigit(ch)) // initial cond.
s.push(ch);
else {
TreeNode tParent = new TreeNode(ch);
TreeNode t = new TreeNode(s.pop());
TreeNode t2 = new TreeNode(s.pop());
tParent.right = t;
tParent.left = t2;
s.push(ch);
System.out.println("par" + tParent.ch);
System.out.println("cright" + tParent.right.ch);
System.out.println("cleft" + tParent.left.ch);
}
}
My test class :
Stack stree = new Stack();
BST b = new BST();
String str = "5-3*(7-2)";
String postfix = b.convertToPosFix(str);
System.out.println(postfix);
for (char ch : postfix.toCharArray()) {
b.myInsert(ch, stree);
}
My output is :
par-
cright2
cleft7
par*
cright-
cleft3
par-
cright*
cleft5

Use a Stack of TreeNodes, not a Stack of chars. You have to combine the TreeNodes after all and not the chars:
public void myInsert(char ch, Stack<TreeNode> s) {
if (Character.isDigit(ch)) {
// leaf (literal)
s.push(new TreeNode(ch));
} else {
// operator node
TreeNode tParent = new TreeNode(ch);
// add operands
tParent.right = s.pop();
tParent.left = s.pop();
// push result to operand stack
s.push(tParent);
}
}
TreeNode
public class TreeNode {
public TreeNode right = null;
public TreeNode left = null;
public final char ch;
TreeNode(char ch) {
this.ch = ch;
}
#Override
public String toString() {
return (right == null && left == null) ? Character.toString(ch) : "(" + left.toString()+ ch + right.toString() + ")";
}
}
main
public static TreeNode postfixToTree(String s) {
Stack<TreeNode> stree = new Stack<>();
BST b = new BST();
for (char ch : s.toCharArray()) {
b.myInsert(ch, stree);
}
return stree.pop();
}
public static void main(String[] args) {
System.out.println(postfixToTree("5372-*-"));
System.out.println(postfixToTree("512+4*+3−"));
System.out.println(postfixToTree("51*24*+"));
}
This will print
(5-(3*(7-2)))
((5+((1+2)*4))−3)
((5*1)+(2*4))

Related

I'm getting some logical error in Huffman's encoding java

Here is the code...
public class Huffman_Coding {
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
System.out.println("Enter a string to compress: ");
String str = sc.nextLine();
sc.close();
HashString hs = new HashString();
HashMap<Character, Integer> hm = hs.getStringHash(str);
PriorityQueue<Node> pq = new PriorityQueue<Node>();
for (char ch : hm.keySet()) {
pq.add(new Node(null, null, hm.get(ch), ch));
}
System.out.println(pq);
while (pq.size() != 1) {
Node left = pq.poll();
Node right = pq.poll();
Node parent = new Node(left, right, left.freq + right.freq, '\0');
pq.add(parent);
System.out.println(pq);
}
Huffman_Tree ht = new Huffman_Tree();
String ans = "";
ht.inOrder(pq.poll(), ans);
}
}
class Node implements Comparable<Node> {
#Override
public String toString() {
return "Node [freq=" + freq + ", ch=" + ch + "]";
}
Node lptr;
Node rptr;
int freq;
char ch;
Node(Node lptr, Node rptr, int freq, char ch) {
this.freq = freq;
this.lptr = lptr;
this.rptr = rptr;
this.ch = ch;
}
public int compareTo(Node o) {
int comparedvalue = Integer.compare(this.freq, o.freq);
if (comparedvalue != 0)
return comparedvalue;
else
return Integer.compare(this.ch, o.ch);
}
}
boolean isLeaf() {
return this.lptr == null && this.rptr == null;
}
}
class Huffman_Tree {
void inOrder(Node root, String code) {
if (!root.isLeaf()) {
inOrder(root.lptr, code + '0');
inOrder(root.rptr, code + '1');
} else
System.out.println(root.ch + " : " + code);
}
}
Here, for input string abccddeeee,
I'm getting something like:
[Node [freq=1, ch=a], Node [freq=1, ch=b], Node [freq=2, ch=c], Node [freq=2, ch=d], Node [freq=4, ch=e]]
[Node [freq=2, ch= ]]
I'm confused why in the second step Node having 'd' is coming ahead from 'e'. This is getting me errors in final encoding. Why compareTo method is failing I cant understand.
getHashString returns a Hash which has characters in key and their freq in value.
I can't figure out why the order of the elements in PriorityQueue is not the expected one after polling elements ant adding new "synthetic" elements, but I think you can solve the problem switching to a TreeSet, as I have done with success with
TreeSet<Node> pq = new TreeSet<Node>((n1, n2) -> n1.compareTo(n2)); // explicit but unnecessary comparator
and changind each pq.poll() invocation into pq.pollFirst()...
I hope this workaround can help you!
EDIT
As you can read in official PriorityQueue documentation, * The Iterator provided in method iterator() is not guaranteed to traverse the elements of the priority queue in any particular order. If you need ordered traversal, consider using Arrays.sort(pq.toArray()).*
This should explain why the toString() method invocation shows queue elements in an order different than the expected priority order...

ExpressionTree: Postfix to Infix

I am having problems getting my toString() method to work and print out parenthesis. Within my infix notation. For example, right now if I enter 12+3* it will print out 1 + 2 * 3. I would like it to print out ((1+2) *3).
Also, I would like my expression tree to be built when it contains a space within the input. For example, right now if I enter 12+ it works, but I want to be able to enter 1 2 + and it still work. Any thoughts?
P.S. Ignore my evaluate method I haven't implemented it yet!
// Java program to construct an expression tree
import java.util.EmptyStackException;
import java.util.Scanner;
import java.util.Stack;
import javax.swing.tree.TreeNode;
// Java program for expression tree
class Node {
char ch;
Node left, right;
Node(char item) {
ch = item;
left = right = null;
}
public String toString() {
return (right == null && left == null) ? Character.toString(ch) : "(" + left.toString()+ ch + right.toString() + ")";
}
}
class ExpressionTree {
static boolean isOperator(char c) {
if ( c == '+' ||
c == '-' ||
c == '*' ||
c == '/'
) {
return true;
}
return false;
}
// Utility function to do inorder traversal
public void inorder(Node t) {
if (t != null) {
inorder(t.left);
System.out.print(t.ch + " ");
inorder(t.right);
}
}
// Returns root of constructed tree for given
// postfix expression
Node constructTree(char postfix[]) {
Stack<Node> st = new Stack();
Node t, t1, t2;
for (int i = 0; i < postfix.length; i++) {
// If operand, simply push into stack
if (!isOperator(postfix[i])) {
t = new Node(postfix[i]);
st.push(t);
} else // operator
{
t = new Node(postfix[i]);
// Pop two top nodes
// Store top
t1 = st.pop(); // Remove top
t2 = st.pop();
// make them children
t.right = t1;
t.left = t2;
// System.out.println(t1 + "" + t2);
// Add this subexpression to stack
st.push(t);
}
}
// only element will be root of expression
// tree
t = st.peek();
st.pop();
return t;
}
public static void main(String args[]) {
Scanner input = new Scanner(System.in);
/*boolean keepgoing = true;
while (keepgoing) {
String line = input.nextLine();
if (line.isEmpty()) {
keepgoing = false;
} else {
Double answer = calculate(line);
System.out.println(answer);
}
}*/
ExpressionTree et = new ExpressionTree();
String postfix = input.nextLine();
char[] charArray = postfix.toCharArray();
Node root = et.constructTree(charArray);
System.out.println("infix expression is");
et.inorder(root);
}
public double evaluate(Node ptr)
{
if (ptr.left == null && ptr.right == null)
return toDigit(ptr.ch);
else
{
double result = 0.0;
double left = evaluate(ptr.left);
double right = evaluate(ptr.right);
char operator = ptr.ch;
switch (operator)
{
case '+' : result = left + right; break;
case '-' : result = left - right; break;
case '*' : result = left * right; break;
case '/' : result = left / right; break;
default : result = left + right; break;
}
return result;
}
}
private boolean isDigit(char ch)
{
return ch >= '0' && ch <= '9';
}
private int toDigit(char ch)
{
return ch - '0';
}
}
Why you use inorder()? root.toString() returns exactly what you want, "((1+2)*3)"
Spaces you can skip at start of loop:
for (int i = 0; i < postfix.length; i++) {
if (postfix[i] == ' ')
continue;
...
Change main like this.
Scanner input = new Scanner(System.in);
String postfix = input.nextLine();
char[] charArray = postfix.replace(" ", "").toCharArray();
Node root = constructTree(charArray);
System.out.println("infix expression is");
System.out.println(root);

How to use a stack to parse a string

I have a String:
String stringContent="{\\*\\listtable{\\list{\\listlevel{\\leveltext}{\\levelNumber}}}}"
How do I select values of all enclosing braces one by one in each pass like this:
"{\\levelNumber}"
"{\\leveltext}"
"{\\listlevel{\\leveltext}{\\levelNumber}}"
"{\\list{\\listlevel{\\leveltext}}}"
"{\\*\\listtable{\\list{\\listlevel{\\leveltext}}}}"
So far I've done this:
public class StringExtracter {
public String stringofObject(Section parentSectionObject, String stringContent) {
Stack stack=new Stack();
String returnString = "";
char arr[] = stringContent.toCharArray();
for(int i=0;i<=arr.length;i++){
while(arr[i]!='}'){
if(arr[i]=='{'){
stringContent=stringContent.substring(i+1);
returnString=stringContent;
System.out.println(stringContent);
braces=true;
Section sectionObject=new Section(parentSectionObject,stringContent);
stack.push(arr[i]);
}
}
return returnString;
}
But the problem is that it is not detecting the right } like this. How should I be doing this?
Output as of now:
\*\listtable{\list{\listlevel{\leveltext}{\fefw}}}}
\list{\listlevel{\leveltext}{\fefw}}}}
\listlevel{\leveltext}{\fefw}}}}
\leveltext}{\fefw}}}}
\fefw}}}}
Stack-based solution (problably could be simpler, but let's solve the problem first):
public class Main {
public static class Node {
public int level;
public String content = "";
public List<Node> children = new ArrayList<>();
}
public static void main(String[] args) {
String input="{\\\\*\\\\listtable{\\\\list{\\\\listlevel{\\\\leveltext}{\\\\levelNumber}}}}";
Node root = null;
Stack<Node> stack = new Stack<>();
for(char c: input.toCharArray()) {
if (c == '{') {
Node n = new Node();
n.level = stack.size() + 1;
n.content += c;
stack.push(n);
if (root == null) root = n;
} else if (c == '}') {
Node n = stack.pop();
n.content += c;
if (!stack.isEmpty()) {
stack.peek().children.add(n);
}
} else {
stack.peek().content += c;
}
}
TreeTraverser<Node> treeTraverser = new TreeTraverser<Node>() {
#Override
public Iterable<Node> children(Node root) {
return root.children;
}
};
for(Node node : treeTraverser.preOrderTraversal(root)) {
String indent = String.format("%" + node.level + "s", " ");
System.out.println(indent + node.content);
}
}
}
Note: Google's Guava library is needed for the TreeTraverser
Output:
{\\*\\listtable}
{\\list}
{\\listlevel}
{\\leveltext}
{\\levelNumber}
Edit 1: modified to create a tree after additional input from the OP
Edit 2: modified to treat the siblings correctly
I recommend you to, instead of using a for loop, create a variable called i and increase it in the while loop. You're checking for "arr[i]!='}'" in the while loop, but as it's inside the for loop, i never increases, and therefore it's always checking the same character.

Converting a Postfix Notation to an ExpressionTree

As it is said in the title I am trying to create a code which converts a postfix notation to an expression tree. Here you can check the constructor :
public byte type; // 0 : operator, 1: operand (a number)
public char operator; // One of '+', '-', '*', '/'
public int operand; // A number
ExpressionTreeNode(byte type){this.type = type; left=right=null;}
and Here is my code :
public static ExpressionTreeNode Postfix2ExpressionTree(String postfixExpr){
Stack s = new Stack<Object>();
ExpressionTreeNode root = new ExpressionTreeNode((byte) 0);
root.operator = postfixExpr.charAt(postfixExpr.length()-1);
String number = "";
for(int i = 0;i<postfixExpr.length()-1;i++){
if(Character.isDigit(postfixExpr.charAt(i)) == true){
number = number + postfixExpr.charAt(i);
if(Character.isDigit(postfixExpr.charAt(i+1)) == false){
ExpressionTreeNode node = new ExpressionTreeNode((byte) 1);
node.operand = Integer.valueOf(number);
node.right = null;
node.left = null;
s.push(node);
number = "";
}
}
if(i == postfixExpr.length()-2){
root.right = (ExpressionTreeNode) s.pop();
root.left =(ExpressionTreeNode) s.pop();
s.push(root);
break;
}
else {
if(postfixExpr.charAt(i) == '+' || postfixExpr.charAt(i) == '*' || postfixExpr.charAt(i) == '-' || postfixExpr.charAt(i) == '/' ){
ExpressionTreeNode node = new ExpressionTreeNode((byte)0);
node.operand = postfixExpr.charAt(i);
node.right = (ExpressionTreeNode) s.pop();
node.left = (ExpressionTreeNode) s.pop();
s.push(node);
}
}
}
return (ExpressionTreeNode) s.pop();
}
I check every character one by one with charAt() method. Simply
1-push every operand into the stack
2-when operator is encountered pop two operand from the stack and assign them to right and left of operator then push the new node to the stack.
3- and finally I push the root to the stack then return it.
No error occurs when I try to run but also it is not working in the right way too. I checked the code many times but I couldn't solve it.If anyone sees the mistake and help me , that would be great.
A postfix expression is parsed from left to right - don't look at postfixExpr.length()-1 before you are there.
Do not create and handle a root node in any special way. It will be top of the stack after the parse.
Here's an error:
node.operand = postfixExpr.charAt(i);
This must be stored in node.operator.
This is how I would implement it:
public interface Entry {
int evaluate();
}
public class Value implements Entry {
private int value;
public Value( int value ){
this.value = value;
}
public int evaluate(){
return value;
}
}
public class Operation implements Entry {
private char operator;
private Entry left;
private Entry right;
public Operation( char operator, Entry left, Entry right ){
this.operator = operator;
this.left = left;
this.right = right;
}
public int evaluate(){
int l = left.evaluate();
int r = right.evaluate();
switch(operator){
case '+':
return l + r;
case '-':
return l - r;
case '*':
return l * r;
case '/':
return l / r;
}
throw new IllegalStateException( "operator " + operator );
}
}
public class Parser {
private Stack<Entry> stack = new Stack<>();
Pattern pat = Pattern.compile( "[-+*/]" );
Scanner scanner;
public void parse( String ex ){
scanner = new Scanner( ex );
while( scanner.hasNext() ){
while( scanner.hasNextInt() ){
stack.push( new Value( scanner.nextInt() ) );
}
while( scanner.hasNext( pat ) ){
char op = scanner.next( pat ).charAt( 0 );
Entry right = stack.pop();
Entry left = stack.pop();
stack.push( new Operation( op, left, right ) );
}
}
}
public Entry get(){
return stack.pop();
}
}
There is absolutely no error handling, so think about adding that.

Java calculator version 4

The calculator is now almost working. It now gives me the same answer for every equation it reads in?
the output ends up as:
49+62*61-36
15.666666666666668
4/64
15.666666666666668
(53+26)
15.666666666666668
0*72
15.666666666666668
21-85+75-85
15.666666666666668
90*76-50+67
15.666666666666668
46*89-15
15.666666666666668
34/83-38
15.666666666666668
20/76/14+92-15
15.666666666666668
5*10/3-1
15.666666666666668
Instead of having the answer for each equation there?
Have i missed something out in my methods?
Thanks
All code is shown below. Any help will be much appreciated.
Stack class:
import java.util.Iterator;
import java.util.NoSuchElementException;
public class myStack<Item> implements Iterable<Item> {
private int N; // size of the stack
private Node first; // top of stack
private class Node {
private Item item;
private Node next;
}
/**
* Create an empty stack.
*/
public myStack() {
first = null;
N = 0;
assert check();
}
public boolean isEmpty() {
return first == null;
}
public int size() {
return N;
}
public void push(Item item) {
Node oldfirst = first;
first = new Node();
first.item = item;
first.next = oldfirst;
N++;
assert check();
}
public Item pop() {
if (isEmpty())
throw new NoSuchElementException("Stack underflow");
Item item = first.item; // save item to return
first = first.next; // delete first node
N--;
assert check();
return item; // return the saved item
}
public Item peek() {
if (isEmpty())
throw new NoSuchElementException("Stack underflow");
return first.item;
}
public String toString() {
StringBuilder s = new StringBuilder();
for (Item item : this)
s.append(item + " ");
return s.toString();
}
// check internal invariants
private boolean check() {
if (N == 0) {
if (first != null)
return false;
} else if (N == 1) {
if (first == null)
return false;
if (first.next != null)
return false;
} else {
if (first.next == null)
return false;
}
// check internal consistency of instance variable N
int numberOfNodes = 0;
for (Node x = first; x != null; x = x.next) {
numberOfNodes++;
}
if (numberOfNodes != N)
return false;
return true;
}
public Object[] toArray(String[] elementData) {
return (Object[]) elementData.clone();
}
public Iterator<Item> iterator() {
return new ListIterator();
}
// did not implement remove as it was not needed
private class ListIterator implements Iterator<Item> {
private Node current = first;
public boolean hasNext() {
return current != null;
}
public void remove() {
throw new UnsupportedOperationException();
}
public Item next() {
if (!hasNext())
throw new NoSuchElementException();
Item item = current.item;
current = current.next;
return item;
}
}
}
Array list class
import java.util.Arrays;
public class myArrayList<Item>{
private Object[] myStore;
private int actSize = 0;
public myArrayList() {
myStore = new Object[100];
}
public Object get(int index) {
if (index < actSize) {
return myStore[index];
} else {
throw new ArrayIndexOutOfBoundsException();
}
}
public void add(Object obj) {
if (myStore.length - actSize <= 0) {
increaseListSize();
}
myStore[actSize++] = obj;
}
public Object remove(int index) {
if (index < actSize) {
Object obj = myStore[index];
myStore[index] = null;
int tmp = index;
while (tmp < actSize) {
myStore[tmp] = myStore[tmp + 1];
myStore[tmp + 1] = null;
tmp++;
}
actSize--;
return obj;
} else {
throw new ArrayIndexOutOfBoundsException();
}
}
public int size() {
return actSize;
}
private void increaseListSize() {
myStore = Arrays.copyOf(myStore, myStore.length * 2);
}
#SuppressWarnings("unchecked")
public <T> T[] toArray(T[] a) {
if (a.length < size())
// Make a new array of a's runtime type, but my contents:
return (T[]) Arrays.copyOf(myStore, size(), a.getClass());
System.arraycopy(myStore, 0, a, 0, size());
if (a.length > size())
a[size()] = null;
return a;
}
}
The TestClass for equation handling
import java.io.BufferedReader;
import java.io.File;
import java.io.FileReader;
import java.io.IOException;
import java.util.Arrays;
import java.util.HashMap;
import java.util.Map;
import java.util.StringTokenizer;
public class TestClass {
private static final int LEFT_ASSOC = 0;
private static final int RIGHT_ASSOC = 1;
static String OPERATORS1 = "+-*/()";
// Operators
private static final Map<String, int[]> OPERATORS = new HashMap<String, int[]>();
static {
// Map<"token", []{precedence, associativity}>
OPERATORS.put("+", new int[] { 0, LEFT_ASSOC });
OPERATORS.put("-", new int[] { 0, LEFT_ASSOC });
OPERATORS.put("*", new int[] { 5, LEFT_ASSOC });
OPERATORS.put("/", new int[] { 5, LEFT_ASSOC });
OPERATORS.put("(", new int[] {1, LEFT_ASSOC});
OPERATORS.put(")", new int[] {1, LEFT_ASSOC});
}
private static boolean isOperator(String token) {
return OPERATORS.containsKey(token);
}
// Test associativity of operator token
private static boolean isAssociative(String token, int type) {
if (!isOperator(token)) {
throw new IllegalArgumentException("Invalid token: " + token);
}
if (OPERATORS.get(token)[1] == type) {
return true;
}
return false;
}
// Compare precedence of operators.
private static final int cmpPrecedence(String token1, String token2) {
if (!isOperator(token1) || !isOperator(token2)) {
throw new IllegalArgumentException("Invalid tokens: " + token1
+ " " + token2);
}
return OPERATORS.get(token1)[0] - OPERATORS.get(token2)[0];
}
public static String[] infixToRPN(String[] inputTokens) {
myArrayList<String> out = new myArrayList<String>();
myStack<String> stack = new myStack<String>();
// For each token
for (String token : inputTokens) {
StringTokenizer tokens = new StringTokenizer(token,OPERATORS1,true);
while (tokens.hasMoreTokens()) {
token = tokens.nextToken();
// If token is an operator
if (isOperator(token)) {
// While stack not empty AND stack top element
// is an operator
while (!stack.isEmpty() && isOperator(stack.peek())) {
if ((isAssociative(token, LEFT_ASSOC) && cmpPrecedence(
token, stack.peek()) <= 0)
|| (isAssociative(token, RIGHT_ASSOC) && cmpPrecedence(
token, stack.peek()) < 0)) {
out.add(stack.pop());
continue;
}
break;
}
// Push the new operator on the stack
stack.push(token);
}
// If token is a left bracket '('
else if (token.equals("(")) {
stack.push(token);
}
// If token is a right bracket ')'
else if (token.equals(")")) {
while (!stack.isEmpty() && !stack.peek().equals("(")) {
out.add(stack.pop());
}
stack.pop();
}
// If token is a number
else {
out.add(token);
}
}
while (!stack.isEmpty()) {
out.add(stack.pop());
}
}
String[] output = new String[out.size()];
return out.toArray(output);
}
public static double RPNtoDouble(String[] tokens) {
myStack<String> stack = new myStack<String>();
// For each token
for (String token : tokens) {
//System.out.println( "Working this token: " + token );
// If the token is a value push it onto the stack
if (!isOperator(token)) {
stack.push(token);
} else {
// Token is an operator: pop top two entries
Double d2 = Double.valueOf(stack.pop());
Double d1 = Double.valueOf(stack.pop());
// Get the result
Double result = token.compareTo("+") == 0 ? d1 + d2 : token
.compareTo("-") == 0 ? d1 - d2
: token.compareTo("*") == 0 ? d1 * d2 : d1 / d2;
// Push result onto stack
stack.push(String.valueOf(result));
}
}
return Double.valueOf(stack.pop());
}
static public void main(String[] args) throws IOException {
File file = new File("testEquations.txt");
String[] lines = new String[1];
try {
FileReader reader = new FileReader(file);
#SuppressWarnings("resource")
BufferedReader buffReader = new BufferedReader(reader);
int x = 0;
String s;
while ((s = buffReader.readLine()) != null) {
lines[x] = s;
x++;
}
} catch (IOException e) {
System.exit(0);
}
// test printing string array
for (String s : lines) {
System.out.println("" + s);
String[] output =infixToRPN(lines);
System.out.println(RPNtoDouble(output));
}
}
}
Your problem is here:
String[] lines = new String[1];
try {
FileReader reader = new FileReader(file);
#SuppressWarnings("resource")
BufferedReader buffReader = new BufferedReader(reader);
int x = 0;
String s;
while ((s = buffReader.readLine()) != null) {
lines[x] = s;
x++;
}
...
you define array of string with a size = 1 but you don't check inside the loop if x is getting out of the borders of this array.
Do somethink like this:
int Size = // define the size..;
String[] lines = new String[Size];
...
while (x < Size && (s = buffReader.readLine()) != null)) {
lines[x] = s;
x++;
}
when your x becames bigger then Size, x < Size will evaluate false, thus getting out of the loop.
About one of the error you are getting ArrayIndexOutOfBoundsException:
Thrown to indicate that an array has been accessed with an illegal
index. The index is either negative or greater than or equal to the
size of the array. (source)
The other error NoSuchElementException :
Thrown by the nextElement method of an Enumeration to indicate that
there are no more elements in the enumeration (source).
Another problem is here:
// test printing string array
for (String s : lines)
{
System.out.println("" + s);
String[] output =infixToRPN(lines);
System.out.println(RPNtoDouble(output));
}
You have to pass s, and not lines into method infixToRPN, thats why you are getting the same output, because you are giving the same input.
Remember that infixToRPN receives a String [] not a string like 's', but this I leave to you to find a workaround.

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