SDE - Intern

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 a string ’S’ consisting of lower case English letters, you are supposed to return the longest palindromic substring of ‘S’.

Note that in case of more than one longest palindromic substrings with the same length you need to return the rightmost substring in the given string. For example in string “bbbab”, there are two possible longest palindromic substrings i.e. “bbb” and “bab”, and since you are supposed to return the rightmost substring, so you need to return “bab” as the answer.

Note:

A substring is a contiguous sequence of elements within a string (for example, “bcd” is a substring of “abcde” while “bce” is not).

A string is said to be palindrome if the reverse of the string is the same as the actual string. For example, “abba” is a palindrome, but “abbc” is not a palindrome.

You are given two strings S and X containing random characters. Your task is to find the smallest substring in S which contains all the characters present in X.

Example:

Let S = “abdd” and X = “bd”.

The windows in S which contain all the characters in X are: 'abdd', 'abd', 'bdd', 'bd'. 
Out of these, the smallest substring in S which contains all the characters present in X is 'bd'. 
All the other substring have a length larger than 'bd'.