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package trees.binarySearchTree;
// Problem Title => Deletion_of_a_node_in_bst
public class Problem_2 {
class Node {
int key;
Node left, right;
Node(int item) {
key = item;
left = right = null;
}
}
Node root;
Problem_2() {
root = null;
}
void deleteKey(int key) {
root = deleteRec(root, key);
}
Node deleteRec(Node root, int key) {
if (root == null)
return root;
if (key < root.key)
root.left = deleteRec(root.left, key);
else if (key > root.key)
root.right = deleteRec(root.right, key);
else {
if (root.left == null)
return root.right;
else if (root.right == null)
return root.left;
root.key = minValue(root.right);
root.right = deleteRec(root.right, root.key);
}
return root;
}
int minValue(Node root) {
int minv = root.key;
while (root.left != null) {
minv = root.left.key;
root = root.left;
}
return minv;
}
void insert(int key) {
root = insertRec(root, key);
}
Node insertRec(Node root, int key) {
if (root == null) {
root = new Node(key);
return root;
}
if (key < root.key)
root.left = insertRec(root.left, key);
else if (key > root.key)
root.right = insertRec(root.right, key);
return root;
}
void inorder() {
inorderRec(root);
}
void inorderRec(Node root) {
if (root != null)
inorderRec(root.left);
System.out.print(root.key + " ");
inorderRec(root.right);
}
public static void main(String[] args) {
Problem_2 tree = new Problem_2();
// * Let us create following BST
// ? 50
// ? / \
// ? 30 70
// ? / \ / \
// ?20 40 60 80 */
tree.insert(50);
tree.insert(30);
tree.insert(20);
tree.insert(40);
tree.insert(70);
tree.insert(60);
tree.insert(80);
System.out.println("Inorder traversal of the given tree");
tree.inorder();
System.out.println("\nDelete 20");
tree.deleteKey(20);
System.out.println("Inorder traversal of the modified tree");
tree.inorder();
System.out.println("\nDelete 30");
tree.deleteKey(30);
System.out.println("Inorder traversal of the modified tree");
tree.inorder();
System.out.println("\nDelete 50");
tree.deleteKey(50);
System.out.println("Inorder traversal of the modified tree");
tree.inorder();
}
}