How do you create a BST from a given key?

How do you create a BST from a given key?

Construct BST from its given level order traversal

1. First pick the first element of the array and make it root.
2. Pick the second element, if it’s value is smaller than root node value make it left child,
3. Else make it right child.

What is a binary search tree BST explain it in detail?

A Binary Search Tree (BST) is a tree in which all the nodes follow the below-mentioned properties − The value of the key of the left sub-tree is less than the value of its parent (root) node’s key. The value of the key of the right sub-tree is greater than or equal to the value of its parent (root) node’s key.

How do you construct a binary search tree?

Create a Binary Search Tree from list A containing N elements. Insert elements in the same order as given. Print the pre-order traversal of the subtree with root node data equal to Q (inclusive of Q), separating each element by a space.

How do you construct a binary search tree from preorder and inorder traversal?

Construct Tree from given Inorder and Preorder traversals

1. Pick an element from Preorder.
2. Create a new tree node tNode with the data as the picked element.
3. Find the picked element’s index in Inorder.
4. Call buildTree for elements before inIndex and make the built tree as a left subtree of tNode.

How do you convert an array to a binary search tree?

Given an integer array nums where the elements are sorted in ascending order, convert it to a height-balanced binary search tree. A height-balanced binary tree is a binary tree in which the depth of the two subtrees of every node never differs by more than one.

How to recursively construct the root of a sorted array?

Then the root will be the middle element of the sorted array, and we recursively construct the left subtree of the root by keys less than the middle element and the right subtree of the root by keys more than the middle element. For example, Following is the C++, Java, and Python implementation of the idea:

How to construct a tree from a sorted array in Python?

Constructing from sorted array in O (n) time is simpler as we can get the middle element in O (1) time. Following is a simple algorithm where we first find the middle node of list and make it root of the tree to be constructed. 1) Get the Middle of the array and make it root. 2) Recursively do same for left half and right half.