Table of Contents
- 1 Does the order of inserting elements into tree matters?
- 2 Does order matter in AVL tree?
- 3 How do you add elements to AVL tree?
- 4 Can AVL be different?
- 5 Is an AVL tree unique?
- 6 Which of the following is true AVL tree?
- 7 Does treeset preserve the insertion order of elements?
- 8 What is the time complexity of an AVL insert?
Does the order of inserting elements into tree matters?
Insertion order affects the tree? Q: does the insertion order matter? A: yes! Moral: sorted order is bad, random is good.
Does order matter in AVL tree?
A professor claims that the order in which a fixed set of elements is inserted into an AVL tree does not matter—the same AVL tree results every time. Give a small example that proves that the professor is wrong.
How do you add elements to AVL tree?
The new node is added into AVL tree as the leaf node….Insertion.
| SN | Rotation | Description |
|---|---|---|
| 3 | LR Rotation | The new node is inserted to the right sub-tree of the left sub-tree of the critical node. |
| 4 | RL Rotation | The new node is inserted to the left sub-tree of the right sub-tree of the critical node. |
What happens if you insert a sorted sequence of items into a BST?
If we repeatedly insert a sorted sequence of values to form a BST, we obtain a completely skewed BST. The height of such a tree is n – 1 if the tree has n nodes. Thus, the worst case complexity of searching or inserting an element into a BST having n nodes is O(n).
What happens if you insert an item that is already present in the tree?
If the value to be inserted is already in the tree, nothing is done. Notice that parameter T is passed by reference. The first case needs to change the pointer that is stored in T.
Can AVL be different?
A balanced tree may have different order based on the order of operations made in order to get to it. Also, there are multiple ways to do a self balancing tree (Red-Black, AVL, Splay) – all result (usually) in different trees. Both are valid AVL trees with the same elements, but as you can see – the form is not unique.
Is an AVL tree unique?
Usually, AVL trees are unique. However, if there are multiple equal elements, there’s a freedom of choice how do you interpret equalities during insertion: do you use “<=” everywhere to choose left subtree, or “<“.
Which of the following is true AVL tree?
Which of the following is TRUE? Explanation: AVL tree is a balanced tree.
How do you insert an element in an AVL tree?
Insertion in AVL Tree-. To insert an element in the AVL tree, follow the following steps-. Insert the element in the AVL tree in the same way the insertion is performed in BST. After insertion, check the balance factor of each node of the resulting tree.
Why is the above tree not AVL?
The above tree is not AVL because differences between heights of left and right subtrees for 8 and 12 is greater than 1. Why AVL Trees? Most of the BST operations (e.g., search, max, min, insert, delete.. etc) take O (h) time where h is the height of the BST.
Does treeset preserve the insertion order of elements?
TreeSet does not preserve the insertion order of elements but elements are sorted by keys. If we are depending on the default natural sorting order, the objects that are being inserted into the tree should be homogeneous and comparable. TreeSet does not allow the insertion of heterogeneous objects.
What is the time complexity of an AVL insert?
Updating the height and getting the balance factor also takes constant time. So the time complexity of AVL insert remains same as BST insert which is O (h) where h is the height of the tree. Since AVL tree is balanced, the height is O (Logn). So time complexity of AVL insert is O (Logn).