binary-search-tree

Converting a heap to a BST in O(n) time?

╄→гoц情女王★ 提交于 2019-11-30 20:03:00
I think that I know the answer and the minimum complexity is O(nlogn) . But is there any way that I can make an binary search tree from a heap in O(n) complexity? There is no algorithm for building a BST from a heap in O(n) time. The reason for this is that given n elements, you can build a heap from them in O(n) time. If you have a BST for a set of values, you can sort them in O(n) time by doing an inorder traversal. If you could build a BST from a heap in O(n) time, you could then have an O(n) sorting algorithm by Building the heap in O(n) time, Converting the heap to a BST in O(n) time, and

What is the difference between std::set and std::map [duplicate]

我怕爱的太早我们不能终老 提交于 2019-11-30 18:29:36
This question already has an answer here: What's the difference between set<pair> and map in C++? 7 answers I'm relatively new to c++ programming and was wondering if someone could help clarify a few questions for me. http://www.cplusplus.com/reference/set/set/ http://www.cplusplus.com/reference/map/map/ I've been reading on how to implement STL binary search trees and I keep noticing that std::set and std::map are constantly mentioned as the methods for accomplishing such a task. What exactly is the difference between the two however? To me both seem almost identical and I'm not sure if there

Creating a Binary Search Tree from a sorted array

血红的双手。 提交于 2019-11-30 18:26:31
问题 I am currently checking about coding an algorithms. If we have the following case: Given a sorted (increasing order) array with unique integer elements, wrote an algorithm to create a binary search tree with minimal height. The following code is proposed as the solution: TreeNode createMinimalBST(int arr[], int start, int end){ if (end < start) { return null; } int mid = (start + end) / 2; TreeNode n = new TreeNode(arr[mid]); n.setLeftChild(createMinimalBST(arr, start, mid - 1)); n

How to display a binary search tree using CSS, HTML and a bit of Javascript?

送分小仙女□ 提交于 2019-11-30 15:43:31
I want to "paint" the tree on screen using CSS and HTML and not represent it in any way or data structure ... A very simple way of creating a tree-like structure with HTML and CSS is nesting <div> s Each div represents a node, and can have multiple nodes inside: <div> //root <div> //child 1 <div> //child 1.1 <div></div> //child 1.1.1 <div></div> //child 1.1.2 <div></div> //child 1.1.3 </div> <div></div> //child 1.2 </div> <div></div> //child 2 </div> Then you can add a margin-top to all divs, so that they appear under its parent div. A JSFiddle: http://jsfiddle.net/VxRmc/ I've added percentage

Complexity of inserting n numbers into a binary search tree

余生长醉 提交于 2019-11-30 15:20:43
I have got a question, and it says "calculate the tight time complexity for the process of inserting n numbers into a binary search tree". It does not denote whether this is a balanced tree or not. So, what answer can be given to such a question? If this is a balanced tree, then height is logn, and inserting n numbers take O(nlogn) time. But this is unbalanced, it may take even O(n 2 ) time in the worst case. What does it mean to find the tight time complexity of inserting n numbers to a bst? Am i missing something? Thanks It could be O(n^2) even if the tree is balanced. Suppose you're adding

Binary Tree Insert Algorithm

北战南征 提交于 2019-11-30 14:58:20
问题 I recently finished implementing a Binary search tree for a project I was working on. It went well and I learned a lot. However, now I need to implement a regular Binary Tree... which for some reason has me stumped. I'm looking for a way to do my InsertNode function.. normally in a BST you just check if data < root then insert left and vice versa. However, In a normal Binary tree, it is just filled from left to right, one level at a time.. could anyone help me implement a function that just

Binary search tree over AVL tree

左心房为你撑大大i 提交于 2019-11-30 14:12:55
问题 As far as I know the time complexity between AVL trees and Binary Search Trees are the same in average case, with AVLs beating BSTs in worst case scenarios. This gives me a hint that AVLs are always superior than BSTs in every possible way to interact with them, perhaps adding a little complexity when it comes to balance implementations. Is there any reason anyone should use BSTs instead of AVLs in the first place? 回答1: First, getting the best possible performance is not the ultimate goal of

deletion in a binary search tree

Deadly 提交于 2019-11-30 14:04:11
I have been given two binary search trees. For example, A and B. Next, I was asked to delete the tree B from the tree A. By deletion, I mean delete all the nodes present in B from A. Note: B is not necessarily a subtree of A. eg: A: 50 / \ 10 75 / / \ 1 60 90 B: 10 / \ 1 75 Resulting tree should be: 50 \ 60 \ 90 Two approaches came to my mind: A1: node* deleteTree(node* A, node* B) ; Take the root of tree B. Delete this node from tree A(by normal BSt deletion method). Next divide the problem into two parts - for the left subtree of B and the right subtree of B. For each of the subtree, recurse

Given a BST and its root, print all sequences of nodes which give rise to the same bst

纵饮孤独 提交于 2019-11-30 11:28:17
问题 Given a BST, find all sequences of nodes starting from root that will essentially give the same binary search tree. Given a bst, say 3 / \ 1 5 the answer should be 3,1,5 and 3,5,1. another example 5 / \ 4 7 / / \ 1 6 10 the outputs will be 5,4,1,7,6,10 5,4,7,6,10,1 5,7,6,10,4,1 etc The invariant here however is that the parent's index must always be lesser than its children. I am having difficulty implementing it. 回答1: I assume you want a list of all sequences which will generate the same BST

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

≡放荡痞女 提交于 2019-11-30 11:15:57
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? 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. They're good enough in most cases. There are definitely situations where you need the performance