Senior Systems Engineer

You are a string ‘S’. Your task is to count all the “substrings” of ‘S’ that contain only “vowels”.

Note :

1. The string ‘S’ consists of only lowercase English alphabets.
2. A ‘substring’ is a contiguous sequence of characters within a string.
3. Recall that vowels in lowercase English alphabets are: {‘a’, ‘e’, ‘i’, ‘o’, ‘u’}.

Given a string S containing digits from 2 to 9 inclusive. Your task is to find all possible letter combinations that the number could represent.

A mapping from Digits to Letters (just like in Nokia 1100) is shown below. Note that 1 does not map to any letter.

Given the count of total stones in a game. Two-player ‘Ale’ and ‘Bob’ are playing the game. Your task is to find who will win the game if both the players are playing optimally.

Rules of the game.

1. In a single turn, a player can choose a single stone or ‘even’ number of stones.

2. They will play alternatively, which means in the first chance ‘Ale’ will collect the stones, in second-chance ‘Bob’ will collect the stones. And always ‘Ale’ will start the game.

3. If any player is not able to take any stones then another player will win the game.

You are given a set of ‘N’ rectangular envelopes. The height and width of each envelope are given by arrays, ‘height’ and ‘width’ respectively, each consisting of ‘N’ positive integers. The height, width of the ith envelope is given by ‘height[i]’ and ‘width[i]’ respectively.

You can put one envelope inside another envelope if and only if both the height and width of one envelope is strictly greater than the height and width of the other envelope.

What is the maximum number of envelopes you can Russian doll? (put one inside other)

Note

Rotation of envelope is not allowed, that is, height and width can’t be exchanged

You are given a string ‘S’ containing only the characters ‘)’ and ‘(‘. You need to find the length of the longest valid i.e. well-formed parentheses substring.

For example:

Let the given string be “(()())((”.

Here the valid parentheses substrings are: “()”, “()” and “(()())”. Out of these the longest valid string is “(()())” which has a length 6.