Software Analyst

You are given a two-dimensional grid having 'N' rows and 'M' columns, consisting of upper case characters. You are also given a word 'WORD'. You have to find the number of occurrences of that word in the grid.

Starting from a given cell, a word can be formed by moving in all eight directions: horizontally left, horizontally right, vertically up, vertically down, and four diagonal directions.

Example :

There are three occurrences of the word 'NINJA' in the following grid:

Note :

1) Given word will not be a single character.

2) If occurrences of the given word start from two different cells, then these two occurrences are considered to be different.

Consider the word 'XYX' to be searched in the string 'AXYXB'. Here, we find an occurrence of 'XYX' at index 2 going in the right direction, and another occurrence at index 4 going in the left direction.

Although these two words correspond to the same word, they will be considered as different occurrences.

Given a leaderboard of a game with the following ranking pattern:

The player with the highest score is ranked number 1 on the leaderboard.

Players who have equal scores receive the same ranking number, and the next player(s) receive the immediately following ranking number.

You are given game scores of a player of ‘M’ rounds. Your task is to return the position obtained in each round.

Note:

The leaderboard scores are in descending order.
The game scores are given in ascending order.

You are given an array of 'N' integers, and a positive integer 'K'. You need to determine if it is possible to divide the array into 'K' non-empty subsets such that the sum of elements of each subset is equal.

Note:

1. The array can have duplicate elements.

2. Each of the array elements must belong to exactly one of the 'K' subsets.

3. The elements chosen for a subset may not be contiguous in the array.

You are given an array 'arr' containing 'n' non-negative integers.

Your task is to partition this array into two subsets such that the absolute difference between subset sums is minimum.

You just need to find the minimum absolute difference considering any valid division of the array elements.

Note:

1. Each array element should belong to exactly one of the subsets.

2. Subsets need not always be contiguous.
For example, for the array : [1, 2, 3], some of the possible divisions are 
   a) {1,2} and {3}
   b) {1,3} and {2}.

3. Subset-sum is the sum of all the elements in that subset. 

Example:

Input: 'n' = 5, 'arr' = [3, 1, 5, 2, 8].

Ouput: 1

Explanation: We can partition the given array into {3, 1, 5} and {2, 8}. 
This will give us the minimum possible absolute difference i.e. (10 - 9 = 1).

You are given a positive integer ‘N’. Your task is to print all prime numbers less than or equal to N.

Note: A prime number is a natural number that is divisible only by 1 and itself. Example - 2, 3, 17, etc.

You can assume that the value of N will always be greater than 1. So, the answer will always exist.

We are given a sorted doubly-linked list which contains distinct positive integers, and an integer ‘X’. Print all such unique pairs from the given list so that their sum is equal to ‘X’.