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BinarySearchTree.java
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public class BinarySearchTree {
private Node root;
BinarySearchTree() {
}
public Node search(int x) {
return search(this.root, x);
// return searchIteratively(this.root, x);
}
private Node search(Node node, int x) {
if (node == null || node.val == x) return node;
if (node.val > x) {
return search(node.left, x);
} else {
return search(node.right, x);
}
}
private Node searchIteratively(Node node, int x) {
Node res = node;
while (res != null && res.val != x) {
if (res.val > x) {
res = res.left;
} else {
res = res.right;
}
}
return res;
}
public void insert(int x) {
this.root = insert(this.root, x);
// this.root = insertIteratively(this.root, x);
}
public Node insert(Node node, int x) {
if (node == null) return new Node(x);
if (node.val > x) {
node.left = insert(node.left, x);
} else if (node.val < x) {
node.right = insert(node.right, x);
}
return node;
}
public Node insertIteratively(Node node, int x) {
Node newNode = new Node(x);
if (node == null) return newNode;
Node res = node;
while (res != null && res.val != x) {
if (res.val > x) {
if (res.left == null) {
res.left = newNode;
} else {
res = res.left;
}
} else {
if (res.right == null) {
res.right = newNode;
} else {
res = res.right;
}
}
}
return node;
}
/**
* 1) Node to be deleted is leaf: Simply remove from the tree.
*
* 2) Node to be deleted has only one child: Copy the child to the node and
* delete the child
*
* 3) Node to be deleted has two children: Find inorder successor of the node.
* Copy contents of the inorder successor to the node and delete the inorder
* successor. Note that inorder predecessor can also be used.
*
* The important thing to note is, inorder successor is needed only when right
* child is not empty. In this particular case, inorder successor can be
* obtained by finding the minimum value in right child of the node.
*/
public void delete(int x) {
this.root = delete(this.root, x);
}
public Node delete(Node node, int x) {
if (node == null) return null;
if (node.val == x) {
if (node.left == null) {
return node.right;
} else if (node.right == null) {
return node.left;
} else {
Node succ = node.right;
while (succ.left != null) {
succ = succ.left;
}
node.val = succ.val;
node.right = delete(node.right, node.val);
}
} else if (node.val > x) {
node.left = delete(node.left, x);
} else {
node.right = delete(node.right, x);
}
return node;
}
public Node getRoot() {
return this.root;
}
class Node {
int val;
Node left;
Node right;
Node(int x) {
this.val = x;
}
}
}