Create AVL_tree.java

java/AVL_tree.java

@@ -0,0 +1,192 @@
+// AVL tree implementation in Java
+
+// Create node
+class Node {
+  int item, height;
+  Node left, right;
+
+  Node(int d) {
+    item = d;
+    height = 1;
+  }
+}
+
+// Tree class
+class AVLTree {
+  Node root;
+
+  int height(Node N) {
+    if (N == null)
+      return 0;
+    return N.height;
+  }
+
+  int max(int a, int b) {
+    return (a > b) ? a : b;
+  }
+
+  Node rightRotate(Node y) {
+    Node x = y.left;
+    Node T2 = x.right;
+    x.right = y;
+    y.left = T2;
+    y.height = max(height(y.left), height(y.right)) + 1;
+    x.height = max(height(x.left), height(x.right)) + 1;
+    return x;
+  }
+
+  Node leftRotate(Node x) {
+    Node y = x.right;
+    Node T2 = y.left;
+    y.left = x;
+    x.right = T2;
+    x.height = max(height(x.left), height(x.right)) + 1;
+    y.height = max(height(y.left), height(y.right)) + 1;
+    return y;
+  }
+
+  // Get balance factor of a node
+  int getBalanceFactor(Node N) {
+    if (N == null)
+      return 0;
+    return height(N.left) - height(N.right);
+  }
+
+  // Insert a node
+  Node insertNode(Node node, int item) {
+
+    // Find the position and insert the node
+    if (node == null)
+      return (new Node(item));
+    if (item < node.item)
+      node.left = insertNode(node.left, item);
+    else if (item > node.item)
+      node.right = insertNode(node.right, item);
+    else
+      return node;
+
+    // Update the balance factor of each node
+    // And, balance the tree
+    node.height = 1 + max(height(node.left), height(node.right));
+    int balanceFactor = getBalanceFactor(node);
+    if (balanceFactor > 1) {
+      if (item < node.left.item) {
+        return rightRotate(node);
+      } else if (item > node.left.item) {
+        node.left = leftRotate(node.left);
+        return rightRotate(node);
+      }
+    }
+    if (balanceFactor < -1) {
+      if (item > node.right.item) {
+        return leftRotate(node);
+      } else if (item < node.right.item) {
+        node.right = rightRotate(node.right);
+        return leftRotate(node);
+      }
+    }
+    return node;
+  }
+
+  Node nodeWithMimumValue(Node node) {
+    Node current = node;
+    while (current.left != null)
+      current = current.left;
+    return current;
+  }
+
+  // Delete a node
+  Node deleteNode(Node root, int item) {
+
+    // Find the node to be deleted and remove it
+    if (root == null)
+      return root;
+    if (item < root.item)
+      root.left = deleteNode(root.left, item);
+    else if (item > root.item)
+      root.right = deleteNode(root.right, item);
+    else {
+      if ((root.left == null) || (root.right == null)) {
+        Node temp = null;
+        if (temp == root.left)
+          temp = root.right;
+        else
+          temp = root.left;
+        if (temp == null) {
+          temp = root;
+          root = null;
+        } else
+          root = temp;
+      } else {
+        Node temp = nodeWithMimumValue(root.right);
+        root.item = temp.item;
+        root.right = deleteNode(root.right, temp.item);
+      }
+    }
+    if (root == null)
+      return root;
+
+    // Update the balance factor of each node and balance the tree
+    root.height = max(height(root.left), height(root.right)) + 1;
+    int balanceFactor = getBalanceFactor(root);
+    if (balanceFactor > 1) {
+      if (getBalanceFactor(root.left) >= 0) {
+        return rightRotate(root);
+      } else {
+        root.left = leftRotate(root.left);
+        return rightRotate(root);
+      }
+    }
+    if (balanceFactor < -1) {
+      if (getBalanceFactor(root.right) <= 0) {
+        return leftRotate(root);
+      } else {
+        root.right = rightRotate(root.right);
+        return leftRotate(root);
+      }
+    }
+    return root;
+  }
+
+  void preOrder(Node node) {
+    if (node != null) {
+      System.out.print(node.item + " ");
+      preOrder(node.left);
+      preOrder(node.right);
+    }
+  }
+
+  // Print the tree
+  private void printTree(Node currPtr, String indent, boolean last) {
+    if (currPtr != null) {
+      System.out.print(indent);
+      if (last) {
+        System.out.print("R----");
+        indent += "   ";
+      } else {
+        System.out.print("L----");
+        indent += "|  ";
+      }
+      System.out.println(currPtr.item);
+      printTree(currPtr.left, indent, false);
+      printTree(currPtr.right, indent, true);
+    }
+  }
+
+  // Driver code
+  public static void main(String[] args) {
+    AVLTree tree = new AVLTree();
+    tree.root = tree.insertNode(tree.root, 33);
+    tree.root = tree.insertNode(tree.root, 13);
+    tree.root = tree.insertNode(tree.root, 53);
+    tree.root = tree.insertNode(tree.root, 9);
+    tree.root = tree.insertNode(tree.root, 21);
+    tree.root = tree.insertNode(tree.root, 61);
+    tree.root = tree.insertNode(tree.root, 8);
+    tree.root = tree.insertNode(tree.root, 11);
+    tree.printTree(tree.root, "", true);
+    tree.root = tree.deleteNode(tree.root, 13);
+    System.out.println("After Deletion: ");
+    tree.printTree(tree.root, "", true);
+  }
+}