Associate Software Developer

Given a binary tree of N nodes and a node of this tree, you need to return a list containing the values of the cousins of the given node in the given binary tree sorted by non-decreasing order of their values.

Note:

Two nodes of a binary tree are cousins if they have the same depth or level, but have different parents.

No two nodes in the given binary tree will have the same data values.

Example :

Given a singly linked list of 'N' nodes. The objective is to determine the middle node of a singly linked list. However, if the list has an even number of nodes, we return the second middle node.

Note:

1. If the list is empty, the function immediately returns None because there is no middle node to find.
2. If the list has only one node, then the only node in the list is trivially the middle node, and the function returns that node.

You have been given an array/list 'HEIGHTS' of length ‘N. 'HEIGHTS' represents the histogram and each element of 'HEIGHTS' represents the height of the histogram bar. Consider that the width of each histogram is 1.

You are supposed to return the area of the largest rectangle possible in the given histogram.

For example :

In the below histogram where array/list elements are {2, 1, 5, 6, 2, 3}.

The area of largest rectangle possible in the given histogram is 10.

Given 'N' number of intervals, where each interval contains two integers denoting the boundaries of the interval. The task is to merge all the overlapping intervals and return the list of merged intervals sorted in ascending order.

Two intervals will be considered to be overlapping if the starting integer of one interval is less than or equal to the finishing integer of another interval, and greater than or equal to the starting integer of that interval.

Example:

for the given 5 intervals - [1,4], [3,5], [6,8], [10,12], [8,9].
Since intervals [1,4] and [3,5] overlap with each other, we will merge them into a single interval as [1,5].

Similarly [6,8] and [8,9] overlaps, we merge them into [6,9].

Interval [10,12] does not overlap with any interval.

Final List after merging overlapping intervals: [1,5], [6,9], [10,12]

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