SDE - 1

You are given an array 'arr' of size 'n' having unique elements that has been sorted in ascending order and rotated between 1 and 'n' times which is unknown.

The rotation involves shifting every element to the right, with the last element moving to the first position. For example, if 'arr' = [1, 2, 3, 4] was rotated one time, it would become [4, 1, 2, 3].

Your task is to find the minimum number in this array.

Note :

All the elements in the array are distinct. 

Example :

Input: arr = [3,4,5,1,2]

Output: 1

Explanation: The original array was [1,2,3,4,5] and it was rotated 3 times.

You have been given a binary tree of integers with N number of nodes. Your task is to check if that input tree is a BST (Binary Search Tree) or not.

A binary search tree (BST) is a binary tree data structure which has the following properties.

• The left subtree of a node contains only nodes with data less than the node’s data.
• The right subtree of a node contains only nodes with data greater than the node’s data.
• Both the left and right subtrees must also be binary search trees.

Example :

Answer :

Level 1: 

All the nodes in the left subtree of 4 (2, 1, 3) are smaller 
than 4, all the nodes in the right subtree of the 4 (5) are 
larger than 4.

Level 2 :

For node 2:
All the nodes in the left subtree of 2 (1) are smaller than 
2, all the nodes in the right subtree of the 2 (3) are larger than 2.
For node 5:
The left and right subtrees for node 5 are empty.

Level 3:

For node 1:
The left and right subtrees for node 1 are empty.
For node 3:
The left and right subtrees for node 3 are empty.

Because all the nodes follow the property of a binary search tree, the above tree is a binary search tree.

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