Binary Search Tree Impl and Binary Search related algorithm. PreOrder: Traverse from Root to left sub-tree, then right sub-tree. InOrder: from smallest to largest item，which means it started from left-most leaf. PostOrder: leafs->left subRoot-> rightLeafs-> right subRoot --> Root ??Order: Traverse from Root to each sub-root(left then right).

Algorithm.DS.binarySearchTree.Impl.cpp

struct Node{
    int data;
    Node *left, *right;
};
void preOrderPrint(Node *root)
{
  print(root->name);                                  //record root
  if (root->left != NULL) preOrderPrint(root->left);  //traverse left if exists
  if (root->right != NULL) preOrderPrint(root->right);//traverse right if exists
}

void inOrderPrint(Node *root)
{
  if (root.left != NULL) inOrderPrint(root->left);   //traverse left if exists
  print(root->name);                                 //record root
  if (root.right != NULL) inOrderPrint(root->right); //traverse right if exists
}

void postOrderPrint(Node *root)
{
  if (root->left != NULL) postOrderPrint(root->left);  //traverse left if exists
  if (root->right != NULL) postOrderPrint(root->right);//traverse right if exists
  print(root->name);                                   //record root
}

js.algorithm.DS.binarySearchTree.bookSample.js

function Node(data, left, right) {
    this.data = data;
    this.left = left;
    this.right = right;
    this.show = show;
}

function show() {
    return this.data;
}

function BST() {
    this.root = null;
    this.insert = insert;
    this.inOrder = inOrder;
    this.preOrder = preOrder;
    this.postOrder = postOrder;
    this.getmin = getmin;
    this.getmax = getmax;
    this.find = find;
    this.remove = remove;
    this.removeNode = removeNode;
    this.getSmallest = getSmallest;
}

function insert(data) {
    var n = new Node(data, null, null);
    if (this.root == null) {
        this.root = n;
    } else {
        var current = this.root;
        var parent;
        while (true) {
            parent = current;
            if (data < current.data) {
                current = current.left;
                if (current == null) {
                    parent.left = n;
                    break;
                }
            } else {
                current = current.right;
                if (current == null) {
                    parent.right = n;
                    break;
                }
            }
        }
    }
}

function inOrder(node) {
    if (!(node == null)) {
        inOrder(node.left);
        putstr(node.show() + " ");
        inOrder(node.right);
    }
}

function preOrder(node) {
    if (!(node == null)) {
        putstr(node.show() + " ");
        preOrder(node.left);
        preOrder(node.right);
    }
}

function postOrder(node) {
    if (!(node == null)) {
        postOrder(node.left);
        postOrder(node.right);
        putstr(node.show() + " ");
    }
}

function getmin() {
    var current = this.root;
    print("debug: " + current.data);
    while (!(current.left == null)) {
        current = current.left;
    }
    return current.data;
}

function getmax() {
    var current = this.root;
    while (!(current.right == null)) {
        current = current.right;
    }
    return current.data;
}

function find(data) {
    var current = this.root;
    while (current.data != data) {
        if (data < current.data) {
            current = current.left;
        } else {
            current = current.right;
        }
        if (current == null) {
            return null;
        }
    }
    return current;
}

function getSmallest(node) {
    if (node.left == null) {
        return node;
    } else {
        return getSmallest(node.left);
    }
}

function remove(data) {
    this.root = removeNode(this.root, data);
}

function removeNode(node, data) {
    if (node == null) {
        return null;
    }
    // Reusable find function for recursion
    if (data == node.data) {
        // node has no children
        if (node.left == null && node.right == null) {
            return null;
        }
        // node has no left child
        if (node.left == null) {
            return node.right;
        }
        // node has no right child
        if (node.right == null) {
            return node.left;
        }
        // node has two children
        var tempNode = getSmallest(node.right);
        node.data = tempNode.data;
        node.right = removeNode(node.right, tempNode.data);
        return node;

    } else if (data < node.data) {
       // to find and update in leftsubtree
        node.left = removeNode(node.left, data);
        return node; // root node
    } else {
       // to find and update in rightsubtree
        node.right = removeNode(node.right, data);
        return node; // root node
    }
}



var nums = new BST();
nums.insert(23);
nums.insert(45);
nums.insert(16);
nums.insert(37);
nums.insert(3);
nums.insert(99);
nums.insert(22);
/*print("Inorder traversal: ");
inOrder(nums.root);
print("\n");
print("Preorder traversal: ");
preOrder(nums.root);
print("\n");
print("Postorder traversal: ");
postOrder(nums.root);
print("\n");
var min = nums.getmin();
print("The minimum value of the BST is: " + min);
var max = nums.getmax();
print("The maximum value of the BST is: " + max);
inOrder(nums.root);
print("\n");
putstr("Enter a value to search for: ");
var value = parseInt(readline());
var found = nums.find(value);
if (found != null) {
   print("Found " + value + " in the BST.");
}
else {
   print(value + " was not found in the BST.");
}*/
inOrder(nums.root);
print("\n");
var num = parseInt(readline());
nums.remove(num);
inOrder(nums.root);

js.algorithm.DS.binarySearchTree.Impl.js

function Node(data, left, right) {
    this.data = data;
    this.left = left;
    this.right = right;
    this.show = show;
}

function show() {
    return this.data;
}

function BST() {
    this.root = null;
    this.insert = insert;
    this.inOrder = inOrder;
    this.preOrder = preOrder;
    this.postOrder = postOrder;
    this.getmin = getmin;
    this.getmax = getmax;
    this.find = find;
    this.remove = remove;
    this.removeNode = removeNode;
    this.getSmallest = getSmallest;
    // exercises:
    this.getNodeNumber = getNodeNumber;
    this.getEdgeNumber = getEdgeNumber;
}

function insert(data) {
    var n = new Node(data, null, null);
    if (this.root == null) {
        this.root = n;
    } else {
        var current = this.root;
        var parent;
        while (true) {
            parent = current;
            if (data < current.data) {
                current = current.left;
                if (current == null) {
                    parent.left = n;
                    break;
                }
            } else {
                current = current.right;
                if (current == null) {
                    parent.right = n;
                    break;
                }
            }
        }
    }
}

function inOrder(node) {
    if (!(node == null)) {
        inOrder(node.left);
        putstr(node.show() + " ");
        inOrder(node.right);
    }
}

function preOrder(node) {
    if (!(node == null)) {
        putstr(node.show() + " ");
        preOrder(node.left);
        preOrder(node.right);
    }
}

function postOrder(node) {
    if (!(node == null)) {
        postOrder(node.left);
        postOrder(node.right);
        putstr(node.show() + " ");
    }
}

function getmin() {
    var current = this.root;
    print("debug: " + current.data);
    while (!(current.left == null)) {
        current = current.left;
    }
    return current.data;
}

function getmax() {
    var current = this.root;
    while (!(current.right == null)) {
        current = current.right;
    }
    return current.data;
}

function find(data) {
    var current = this.root;
    while (current.data != data) {
        if (data < current.data) {
            current = current.left;
        } else {
            current = current.right;
        }
        if (current == null) {
            return null;
        }
    }
    return current;
}

function getSmallest(node) {
    if (node.left == null) {
        return node;
    } else {
        return getSmallest(node.left);
    }
}

function remove(data) {
    this.root = removeNode(this.root, data);
}

function removeNode(node, data) {
    if (node == null) {
        return null;
    }
    // Reusable find function for recursion
    if (data == node.data) {
        // node has no children
        if (node.left == null && node.right == null) {
            return null;
        }
        // node has no left child
        if (node.left == null) {
            return node.right;
        }
        // node has no right child
        if (node.right == null) {
            return node.left;
        }
        // node has two children
        var tempNode = getSmallest(node.right);
        node.data = tempNode.data;
        node.right = removeNode(node.right, tempNode.data);
        return node;

    } else if (data < node.data) {
        // to find and update in leftsubtree
        node.left = removeNode(node.left, data);
        return node; // root node
    } else {
        // to find and update in rightsubtree
        node.right = removeNode(node.right, data);
        return node; // root node
    }
}

function getNodeNumber() {
    var count = 0,
        node = this.root;

    (function addCount(node) {
        if (node != null) {
            count++;
            addCount(node.left);
            addCount(node.right);
        }
    })(node);

    return count;
}

function getEdgeNumber() {
    var nodeCount = this.getNodeNumber();
    return nodeCount > 0 ? nodeCount - 1 : 0;
}




















// test------------------------------------------------------------
var nums = new BST();
nums.insert(23);
nums.insert(45);
nums.insert(16);
nums.insert(37);
nums.insert(3);
nums.insert(99);
nums.insert(22);
nums.getNodeNumber(); // 7