 # Question: Can A Binary Heap Have Duplicates?

## Can a binary search tree contain duplicates?

In a Binary Search Tree (BST), all keys in left subtree of a key must be smaller and all keys in right subtree must be greater.

So a Binary Search Tree by definition has distinct keys and duplicates in binary search tree are not allowed..

## Are heaps balanced?

A binary heap (often just referred to as a heap) is a special kind of balanced binary tree. The tree satisfies two invariants: The priorities of the children of a node are at least as large as the priority of the parent.

## Which is the slowest sorting procedure?

HeapSort: It is the slowest of the sorting algorithms but unlike merge and quick sort it does not require massive recursion or multiple arrays to work.

## Is empty tree a BST?

In pure computer science, null is a valid binary tree. It is called an empty binary tree. Just like an empty set is still a valid set. Furthermore, a binary tree with only a single root node and no children is also valid (but not empty).

## How do you know if a binary tree is BST?

To see if a binary tree is a binary search tree, check:If a node is a left child, then its key and the keys of the nodes in its right subtree are less than its parent’s key.If a node is a right child, then its key and the keys of the nodes in its left subtree are greater than its parent’s key.

## What is the max heap property?

the min-heap property: the value of each node is greater than or equal to the value of its parent, with the minimum-value element at the root. the max-heap property: the value of each node is less than or equal to the value of its parent, with the maximum-value element at the root.

## In what time can a binary heap be built?

In what time can a binary heap be built? Explanation: The basic strategy is to build a binary heap of N elements which takes O(N) time. 3. Heap sort is faster than Shell sort.

## Is FIFO a heap?

Stack, heap, and queue are ways that elements are stored in memory. … The mnemonic FIFO is used to describe a queue (First-In-First-Out).

## What is a heap in English?

noun. a group of things placed, thrown, or lying one on another; pile: a heap of stones. Informal. a great quantity or number; multitude: a heap of people.

## Is heap always binary?

In a heap, the highest (or lowest) priority element is always stored at the root. … When a heap is a complete binary tree, it has a smallest possible height—a heap with N nodes and for each node a branches always has loga N height.

## What is binary heap in data structure?

A binary heap is a heap data structure that takes the form of a binary tree. Binary heaps are a common way of implementing priority queues. … Heap property: the key stored in each node is either greater than or equal to (≥) or less than or equal to (≤) the keys in the node’s children, according to some total order.

## What is a binary max heap?

A max-heap is a complete binary tree in which the value in each internal node is greater than or equal to the values in the children of that node.

Efficiency of Binary Search To evaluate binary search, count the number of comparisons in the best case and worst case. This analysis omits the average case, which is a bit more difficult, and ignores any differences between algorithms in the amount of computation corresponding to each comparison.

## Is binary tree and binary search tree same?

12 Answers. Binary search tree: Used for searching. A binary tree where the left child contains only nodes with values less than the parent node, and where the right child only contains nodes with values greater than or equal to the parent.

## What is the difference between a min heap and a max heap?

Min-Heap − Where the value of the root node is less than or equal to either of its children. Max-Heap − Where the value of the root node is greater than or equal to either of its children. Both trees are constructed using the same input and order of arrival.

## Which search is better linear or binary?

Binary search is more efficient than linear search; it has a time complexity of O(log n). The list of data must be in a sorted order for it to work. A binary search works by finding the middle element of a sorted array and comparing it to your target element.

## What is the fastest search algorithm?

Binary SearchBinary Search is the fastest and most efficient searching technique.

## How do I know if my BST is balanced?

To check if a tree is height-balanced, get the height of left and right subtrees. Return true if difference between heights is not more than 1 and left and right subtrees are balanced, otherwise return false.