Table of Contents
- 1 How many randomized binary search trees can be formed by the numbers?
- 2 What is randomized binary search?
- 3 What may be the pseudo code for finding the size of a tree?
- 4 What is red-black tree algorithm?
- 5 What is random search in Java?
- 6 Is a treap balanced?
- 7 How many BST can be built with 3 distinct keys?
How many randomized binary search trees can be formed by the numbers?
5 randomized binary search tree
Explanation: As there are 3 numbers (1, 3, 2) so total of 6 combinations can be formed using three numbers but Since (2, 1, 3) and (2, 3, 1) are same so in total there are 5 randomized binary search tree that can be formed.
What is randomized binary search?
You are given a sorted array A of n integers and the integer v that you are searching for is chosen uniformly at random from A. Then, instead of comparing v with the value in the middle of the array, the randomized binary search variant chooses a random number r from 1 to n and it compares v with A[r].
What is the property of randomized BST?
A BST on n keys is random if either it is empty (n=0), or the probability that a given key is at the root is 1/n, and the left and right subtrees are random.
What may be the pseudo code for finding the size of a tree?
Discussion Forum
| Que. | What may be the psuedo code for finding the size of a tree? |
|---|---|
| b. | find_size(root_node–>left_node) + find_size(root_node–>right_node) |
| c. | find_size(root_node–>right_node) – 1 |
| d. | find_size(root_node–>left_node + 1 |
| Answer:find_size(root_node–>left_node) + 1 + find_size(root_node–>right_node) |
What is red-black tree algorithm?
A red-black tree is a binary search tree which has the following red-black properties: Every node is either red or black. Every leaf (NULL) is black. If a node is red, then both its children are black. Every simple path from a node to a descendant leaf contains the same number of black nodes.
What is random search algorithm?
A random search algorithm refers to an algorithm that uses some kind of randomness or probability (typically in the form of a pseudo-random number generator) in the defi- nition of the method, and in the literature, may be called a Monte Carlo method or a stochastic algorithm.
What is random search in Java?
Random Search is the simplest stochastic search algorithm and it’s very intuitive. For example, say we’re searching for the maximum of a function. Instead of brute-forcing the solution, it generates random points on a dimension of the search space.
Is a treap balanced?
Like Red-Black and AVL Trees, Treap is a Balanced Binary Search Tree, but not guaranteed to have height as O(Log n).
Are Treaps unique?
Each subtree is a treap of size ≤ k − 1, so they are unique by induction.
How many BST can be built with 3 distinct keys?
Example: If we have 3 distinct elements, say 1, 2, 3, there are 5 binary search trees.