SDE - Intern

Given two sorted arrays 'a' and 'b' of size 'n' and 'm' respectively.

Find the median of the two sorted arrays.

Median is defined as the middle value of a sorted list of numbers. In case the length of list is even, median is the average of the two middle elements.

The expected time complexity is O(min(logn, logm)), where 'n' and 'm' are the sizes of arrays 'a' and 'b', respectively, and the expected space complexity is O(1).

Example:

Input: 'a' = [2, 4, 6] and 'b' = [1, 3, 5]

Output: 3.5

Explanation: The array after merging 'a' and 'b' will be { 1, 2, 3, 4, 5, 6 }. Here two medians are 3 and 4. So the median will be the average of 3 and 4, which is 3.5.

You are given a circular array 'a' of length 'n'.

A circular array is an array in which we consider the first element is next of the last element. That is, the next element of 'a[n - 1]' is 'a[0]'.

Find the Next Greater Element(NGE) for every element.

The Next Greater Element for an element 'x' is the first element on the right side of 'x' in the array, which is greater than 'x'.

If no greater elements exist to the right of 'x', consider the next greater element as -1.

Example:

Input: 'a' = [1, 5, 3, 4, 2]

Output: NGE = [5, -1, 4, 5, 5]

Explanation: For the given array,

- The next greater element for 1 is 5.

- There is no greater element for 5 on the right side. So we consider NGE as -1.

- The next greater element for 3 is 4.

- The next greater element for 4 is 5, when we consider the next elements as 4 -> 2 -> 1 -> 5.

- The next greater element for 2 is 5, when we consider the next elements as 2 -> 1 -> 5.

You are given an array “NUMS” consisting of N integers and an integer, K. Your task is to determine the maximum sum of an increasing subsequence of length K.

Note:

1. The array may contain duplicate elements.
2. The array can also contain negative integers.
3. Every element of the subsequence must be greater than or equal to the previous element.

The subsequence of an array is a sequence of numbers that can be formed by deleting some or no elements without changing the order of the remaining elements. For example, if the given array “NUMS” = {1, 2, 5, 4, 8}, then {1, 2, 5, 4, 8}, {1, 5, 8}, {2} are some of the valid subsequences whereas the sequence {4, 2} is not a valid subsequence as the order of the elements differ from the original array.

You have been given a Binary Tree of integers.

Your task is to print the Right view of it.

The right view of a Binary Tree is a set of nodes visible when the tree is viewed from the Right side and the nodes are printed from top to bottom order.

You have been given a Binary Tree of 'n' nodes, where the nodes have integer values

Print the left view of the binary tree.

Example :

If the input tree is as depicted in the picture: 

The Left View of the tree will be:  2 35 2