binary-search-tree

Finding if a Binary Tree is a Binary Search Tree [duplicate]

元气小坏坏 提交于 2019-11-29 19:46:49
This question already has an answer here: How do you validate a binary search tree? 30 answers Today I had an interview where I was asked to write a program which takes a Binary Tree and returns true if it is also a Binary Search Tree otherwise false. My Approach1: Perform an in-order traversal and store the elements in O(n) time. Now scan through the array/list of elements and check if element at i th index is greater than element at (i+1) th index. If such a condition is encountered, return false and break out of the loop. (This takes O(n) time). At the end return true. But this gentleman

Built-in binary search tree in Python? [closed]

会有一股神秘感。 提交于 2019-11-29 16:48:52
问题 Are there any self-balancing binary search tree ( RED-BLACK , AVL or others) built-in types in Python 2.7 or Python 3.x? I am looking for something equivalent to Java's TreeMap or TreeSet. If there are no such built-ins, why have they been ommited? Is there a special reason, for not including such tools? 回答1: There's no special reason, to my knowledge - I'd guess that the reason is that for so many applications the highly-tuned dict and set implementations (which are hash tables) work well.

How to delete a node with 2 children nodes in a binary search tree?

醉酒当歌 提交于 2019-11-29 15:47:14
问题 How to delete a node with 2 children nodes in a binary tree? Is there any kind of method to remove it? I googled it. But didn't get clear idea about it. Anybody explain it with diagrammatic representation? How to delete the node '5' from the this image and what might be the outcome? 回答1: you replace said node with the left most child on its right side, or the right most child on its left side. You then delete the child from the bottom that it was replaced with. Deleting five could yield

Does Cocoa Touch have a search tree data structure?

感情迁移 提交于 2019-11-29 09:29:40
I've been looking into this on Google and read the Collections entry in the SDK documentation, and turned up nothing. Is there a BST (any of its variants) implementation available out of the box with the iOS SDK? It seems odd that something so basic would be missing from a major development platform. Is their hash implementation just that magical? Or do the devs assume no one is going to do inserts/deletes on things that have an order? I can use NSSet for now, as I know most of us (myself included) aren't really writing anything with tons of computation on iOS that need a guaranteed access

Proof that the height of a balanced binary-search tree is log(n)

本秂侑毒 提交于 2019-11-28 23:38:35
问题 The binary-search algorithm takes log(n) time, because of the fact that the height of the tree (with n nodes) would be log(n). How would you prove this? 回答1: Let's assume at first that the tree is complete - it has 2^N leaf nodes. We try to prove that you need N recursive steps for a binary search. With each recursion step you cut the number of candidate leaf nodes exactly by half (because our tree is complete). This means that after N halving operations there is exactly one candidate node

Number of binary search trees over n distinct elements

ぃ、小莉子 提交于 2019-11-28 18:53:54
How many binary search trees can be constructed from n distinct elements? And how can we find a mathematically proved formula for it? Example: If we have 3 distinct elements, say 1, 2, 3, there are 5 binary search trees. Given n elements, the number of binary search trees that can be made from those elements is given by the nth Catalan number (denoted C n ). This is equal to Intuitively, the Catalan numbers represent the number of ways that you can create a structure out of n elements that is made in the following way: Order the elements as 1, 2, 3, ..., n. Pick one of those elements to use as

Pre-order to post-order traversal

不想你离开。 提交于 2019-11-28 17:33:34
问题 If the pre-order traversal of a binary search tree is 6, 2, 1, 4, 3, 7, 10, 9, 11, how to get the post-order traversal? 回答1: You are given the pre-order traversal of the tree, which is constructed by doing: output, traverse left, traverse right. As the post-order traversal comes from a BST, you can deduce the in-order traversal (traverse left, output, traverse right) from the post-order traversal by sorting the numbers. In your example, the in-order traversal is 1, 2, 3, 4, 6, 7, 9, 10, 11.

Difference between a LinkedList and a Binary Search Tree

百般思念 提交于 2019-11-28 16:21:52
What are the main differences between a Linked List and a BinarySearchTree? Is BST just a way of maintaining a LinkedList? My instructor talked about LinkedList and then BST but did't compare them or didn't say when to prefer one over another. This is probably a dumb question but I'm really confused. I would appreciate if someone can clarify this in a simple manner. Linked List: Item(1) -> Item(2) -> Item(3) -> Item(4) -> Item(5) -> Item(6) -> Item(7) Binary tree: Node(1) / Node(2) / \ / Node(3) RootNode(4) \ Node(5) \ / Node(6) \ Node(7) In a linked list, the items are linked together through

Finding if a Binary Tree is a Binary Search Tree [duplicate]

旧巷老猫 提交于 2019-11-28 14:38:59
问题 This question already has an answer here: How do you validate a binary search tree? 30 answers Today I had an interview where I was asked to write a program which takes a Binary Tree and returns true if it is also a Binary Search Tree otherwise false. My Approach1: Perform an in-order traversal and store the elements in O(n) time. Now scan through the array/list of elements and check if element at i th index is greater than element at (i+1) th index. If such a condition is encountered, return

Animate Change of color of nodes in insertion of binary search tree

送分小仙女□ 提交于 2019-11-28 11:39:33
I already have implemented display of binary search tree . Here's the code , which paints the binary tree in a jpanel . public void paint(Graphics g) { super.paint(g); System.out.println(" in paint"); Graphics2D g2 = (Graphics2D) g; g2.setRenderingHint(RenderingHints.KEY_ANTIALIASING, RenderingHints.VALUE_ANTIALIAS_ON); int num = bst.size; int y = 25; int nodes = 1; int level = 1; int length = getWidth(); Queue<Node> q = new LinkedList<Node>(); Queue<Integer> q2 = new LinkedList<Integer>(); q.add(bst.root); while (num > 0) { int pX = (int) Math.round(length / (2.0 * nodes)); int x = pX; for