Software Engineer

You are given an array 'ARR' of size 'N' containing positive integers. Consider an undirected graph using the given array with the following conditions:

-> The graph consists of 'N' vertices.
-> The ith vertex has a value 'ARR[i]'.
-> There is an edge between two vertices 'i' and 'j' (where 'i' < 'j'), if and only if GCD('ARR[i]', 'ARR[j]') is greater than 1.

GCD(a, b) is the maximum number x such that both a and b are divisible by x.

Your task is to find the size of the largest component in the graph.

A component of an undirected graph is a subgraph in which any two vertices are connected to each other by paths, and which is connected to no additional vertices in the rest of the graph. The size of a component is the number of vertices in it.

Given a string ‘strNum’ which represents a number, your task is to find the ways to decode the given string ‘strNum’.

The format of encoding is as follows: ‘A’ - 1, ‘B’ - 2, ‘C’ - 3, ‘D’ - 4, ……………, ‘Z’ - 26.

Encoding is possible in letters from ‘A’ to ‘Z’. There is an encoding between character and number.

Example :

‘n = 226’ so we can decode ‘226’ in such a way-

‘BZ = 2-26’, as B maps to 2 and Z maps to 26.

‘BBF = 2-2-6’

‘VF = 22-6’

‘226; can be decoded in three ‘BZ’, ‘BBF’, ‘VF’ possible ways.

Point to be noticed we can’t decode ‘226’ as ‘226’ because we have no character which can directly map with ‘226’ we can only decode numbers from ‘1’ to ‘26’ only.

You have been given a string 'S' which only consists of lowercase English-Alphabet letters.

Your task is to find the shortest(minimum length) substring of 'S' which contains all the characters of 'S' at least once. If there are many substrings with the shortest length, then find one which appears earlier in the string i.e. substring whose starting index is lowest.

For example-

If the given string is S = "abcba", then the possible substrings are "abc" and "cba". As "abc" starts with a lower index (i.e. 0, "cba" start with index 2), we will print "abc" as our shortest substring that contains all characters of 'S'.

You are given a ‘Binary Tree’.

Return the level-order traversal of the Binary Tree.

Example:

Input: Consider the following Binary Tree:

Output: 
Following is the level-order traversal of the given Binary Tree: [1, 2, 3, 5, 6, 4]

You are given an array Arr consisting of N integers. You need to find the equilibrium index of the array.

An index is considered as an equilibrium index if the sum of elements of the array to the left of that index is equal to the sum of elements to the right of it.

Note:

1. The array follows 0-based indexing, so you need to return the 0-based index of the element.
2. Note that the element at the equilibrium index won’t be considered for either left sum or right sum.
3. If there are multiple indices which satisfy the given condition, then return the left-most index i.e if there are indices i,j,k…. which are equilibrium indices, return the minimum among them
4. If no such index is present in the array, return -1.

You are given the schedule of 'N' meetings with their start time 'Start[i]' and end time 'End[i]'.

You have only 1 meeting room. So, you need to return the maximum number of meetings you can organize.

Note:

The start time of one chosen meeting can’t be equal to the end time of the other chosen meeting.

For example:

'N' = 3, Start = [1, 3, 6], End = [4, 8, 7].

You can organize a maximum of 2 meetings. Meeting number 1 from 1 to 4, Meeting number 3 from 6 to 7.