SDE - 1

Ninja is given an array of integers that contain numbers in random order. He needs to write a program to find and return the number which occurs the maximum times in the given input. He needs your help to solve this problem.

If two or more elements contend for the maximum frequency, return the element which occurs in the array first i.e. whose index is lowest.

For example,

For 'arr' = [ 1, 2, 3, 1, 2]. you need to return 1.

You have been given a board where there are '2' rows and 'N' columns. You have an infinite supply of 2x1 tiles, and you can place a tile in the following ways:

1. Horizontally as 1x2 tile
2. Vertically as 2x1 tile

Count the number of ways to tile the given board using the available tiles.

Note :

The number of ways might be large so output your answer modulo 10^9 + 7.

Here an example of tile and board for 'N' = 4 :

You have been given an array of 'N' Integers. Find the length of the longest subsequence such that each adjacent element of the subsequence has at least one digit in common.

Note :

A sequence 'A' is a subsequence of a sequence 'B' if 'A' can be obtained from 'B' by deletion of several (possibly, zero) elements. For example, [3,1] is a subsequence of [3,2,1] and [4,3,1], but not a subsequence of [1,3,3,7] and [3,10,4].

You have been given an integer array/list(ARR) of size 'N'. It only contains 0s, 1s and 2s. Write a solution to sort this array/list.

Note :

Try to solve the problem in 'Single Scan'. ' Single Scan' refers to iterating over the array/list just once or to put it in other words, you will be visiting each element in the array/list just once.

You are given two strings 'str1' and 'str1'.

You have to tell whether these strings form an anagram pair or not.

The strings form an anagram pair if the letters of one string can be rearranged to form another string.

Pre-requisites:

Anagrams are defined as words or names that can be formed by rearranging the letters of another word. Such as "spar" can be formed by rearranging letters of "rasp". Hence, "spar" and "rasp" are anagrams. 

Other examples include:

'triangle' and 'integral'
'listen' and 'silent'

Note:

Since it is a binary problem, there is no partial marking. Marks will only be awarded if you get all the test cases correct. 

What are the differences between threads and processes? (Learn)

What are the Deadlocks and their prevention? (Learn)

Implement a Trie Data Structure which supports the following three operations:

Operation 1 - insert(word) - To insert a string WORD in the Trie.

Operation 2-  search(word) - To check if a string WORD is present in Trie or not.

Operation 3-  startsWith(word) - To check if there is a string that has the prefix WORD.

Trie is a data structure that is like a tree data structure in its organisation. It consists of nodes that store letters or alphabets of words, which can be added, retrieved, and deleted from the trie in a very efficient way.

In other words, Trie is an information retrieval data structure, which can beat naive data structures like Hashmap, Tree, etc in the time complexities of its operations.

The above figure is the representation of a Trie. New words that are added are inserted as the children of the root node. 

Alphabets are added in the top to bottom fashion in parent to children hierarchy. Alphabets that are highlighted with blue circles are the end nodes that mark the ending of a word in the Trie.

For Example:-

Type = ["insert", "search"], Query = ["coding", "coding].
We return ["null", "true"] as coding is present in the trie after 1st operation.