package DataStructures.Trees;
import java.util.ArrayList;
import java.util.List;
/**
*
Binary Search Tree (Recursive) Generic Type Implementation
*
*
* A recursive implementation of generic type BST.
*
* Reference: https://en.wikipedia.org/wiki/Binary_search_tree
*
*
* @author [Madhur Panwar](https://github.com/mdrpanwar)
*/
public class BSTRecursiveGeneric> {
/** only data member is root of BST */
private Node root;
/** Constructor use to initialize node as null */
public BSTRecursiveGeneric() {
root = null;
}
/** main function for testing */
public static void main(String[] args) {
System.out.println("Testing for integer data...");
// Integer
DataStructures.Trees.BSTRecursiveGeneric integerTree = new DataStructures.Trees.BSTRecursiveGeneric();
integerTree.add(5);
integerTree.add(10);
integerTree.add(9);
assert !integerTree.find(4) : "4 is not yet present in BST";
assert integerTree.find(10) : "10 should be present in BST";
integerTree.remove(9);
assert !integerTree.find(9) : "9 was just deleted from BST";
integerTree.remove(1);
assert !integerTree.find(1) : "Since 1 was not present so find deleting would do no change";
integerTree.add(20);
integerTree.add(70);
assert integerTree.find(70) : "70 was inserted but not found";
/*
Will print in following order
5 10 20 70
*/
integerTree.inorder();
System.out.println();
System.out.println("Testing for string data...");
// String
DataStructures.Trees.BSTRecursiveGeneric stringTree = new DataStructures.Trees.BSTRecursiveGeneric();
stringTree.add("banana");
stringTree.add("pineapple");
stringTree.add("date");
assert !stringTree.find("girl") : "girl is not yet present in BST";
assert stringTree.find("pineapple") : "10 should be present in BST";
stringTree.remove("date");
assert !stringTree.find("date") : "date was just deleted from BST";
stringTree.remove("boy");
assert !stringTree.find("boy") : "Since boy was not present so deleting would do no change";
stringTree.add("india");
stringTree.add("hills");
assert stringTree.find("hills") : "hills was inserted but not found";
/*
Will print in following order
banana hills india pineapple
*/
stringTree.inorder();
}
/**
* Recursive method to delete a data if present in BST.
*
* @param node the node under which to (recursively) search for data
* @param data the value to be deleted
* @return Node the updated value of root parameter after delete operation
*/
private Node delete(Node node, T data) {
if (node == null) {
System.out.println("No such data present in BST.");
} else if (node.data.compareTo(data) > 0) {
node.left = delete(node.left, data);
} else if (node.data.compareTo(data) < 0) {
node.right = delete(node.right, data);
} else {
if (node.right == null && node.left == null) { // If it is leaf node
node = null;
} else if (node.left == null) { // If only right node is present
Node temp = node.right;
node.right = null;
node = temp;
} else if (node.right == null) { // Only left node is present
Node temp = node.left;
node.left = null;
node = temp;
} else { // both child are present
Node temp = node.right;
// Find leftmost child of right subtree
while (temp.left != null) {
temp = temp.left;
}
node.data = temp.data;
node.right = delete(node.right, temp.data);
}
}
return node;
}
/**
* Recursive insertion of value in BST.
*
* @param node to check if the data can be inserted in current node or its subtree
* @param data the value to be inserted
* @return the modified value of the root parameter after insertion
*/
private Node insert(Node node, T data) {
if (node == null) {
node = new Node<>(data);
} else if (node.data.compareTo(data) > 0) {
node.left = insert(node.left, data);
} else if (node.data.compareTo(data) < 0) {
node.right = insert(node.right, data);
}
return node;
}
/**
* Recursively print Preorder traversal of the BST
*
* @param node the root node
*/
private void preOrder(Node node) {
if (node == null) {
return;
}
System.out.print(node.data + " ");
if (node.left != null) {
preOrder(node.left);
}
if (node.right != null) {
preOrder(node.right);
}
}
/**
* Recursively print Postorder traversal of BST.
*
* @param node the root node
*/
private void postOrder(Node node) {
if (node == null) {
return;
}
if (node.left != null) {
postOrder(node.left);
}
if (node.right != null) {
postOrder(node.right);
}
System.out.print(node.data + " ");
}
/**
* Recursively print Inorder traversal of BST.
*
* @param node the root node
*/
private void inOrder(Node node) {
if (node == null) {
return;
}
if (node.left != null) {
inOrder(node.left);
}
System.out.print(node.data + " ");
if (node.right != null) {
inOrder(node.right);
}
}
/**
* Recursively traverse the tree using inorder traversal
* and keep adding elements to argument list.
*
* @param node the root node
* @param sortedList the list to add the srted elements into
*/
private void inOrderSort(Node node, List sortedList) {
if (node == null) {
return;
}
if (node.left != null) {
inOrderSort(node.left, sortedList);
}
sortedList.add(node.data);
if (node.right != null) {
inOrderSort(node.right, sortedList);
}
}
/**
* Serach recursively if the given value is present in BST or not.
*
* @param node the node under which to check
* @param data the value to be checked
* @return boolean if data is present or not
*/
private boolean search(Node node, T data) {
if (node == null) {
return false;
} else if (node.data.compareTo(data) == 0) {
return true;
} else if (node.data.compareTo(data) > 0) {
return search(node.left, data);
} else {
return search(node.right, data);
}
}
/**
* add in BST. if the value is not already present it is inserted or else no change takes place.
*
* @param data the value to be inserted
*/
public void add(T data) {
this.root = insert(this.root, data);
}
/**
* If data is present in BST delete it else do nothing.
*
* @param data the value to be removed
*/
public void remove(T data) {
this.root = delete(this.root, data);
}
/** To call inorder traversal on tree */
public void inorder() {
System.out.println("Inorder traversal of this tree is:");
inOrder(this.root);
System.out.println(); // for next line
}
/** return a sorted list by traversing the tree elements using inorder traversal */
public List inorderSort() {
List sortedList = new ArrayList<>();
inOrderSort(this.root, sortedList);
return sortedList;
}
/** To call postorder traversal on tree */
public void postorder() {
System.out.println("Postorder traversal of this tree is:");
postOrder(this.root);
System.out.println(); // for next line
}
/** To call preorder traversal on tree. */
public void preorder() {
System.out.println("Preorder traversal of this tree is:");
preOrder(this.root);
System.out.println(); // for next line
}
/**
* To check if given value is present in tree or not.
*
* @param data the data to be found for
*/
public boolean find(T data) {
if (search(this.root, data)) {
System.out.println(data + " is present in given BST.");
return true;
}
System.out.println(data + " not found.");
return false;
}
/** The generic Node class used for building binary search tree */
private static class Node {
T data;
Node left;
Node right;
/** Constructor with data as parameter */
Node(T d) {
data = d;
left = null;
right = null;
}
}
}