SDE - 1

You are given an array/list ‘ARR’ of ‘N’ positive integers and an integer ‘K’. Your task is to check if there exists a subset in ‘ARR’ with a sum equal to ‘K’.

Note: Return true if there exists a subset with sum equal to ‘K’. Otherwise, return false.

For Example :

If ‘ARR’ is {1,2,3,4} and ‘K’ = 4, then there exists 2 subsets with sum = 4. These are {1,3} and {4}. Hence, return true.

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.

Consider all numbers from 1 to ‘N’, your task is to find the sum of gcd of all pairs (i, j) such that 1 <= i < j <= N.

For example for N = 3, all pairs are { (1, 2), (1, 3), (2, 3) }.

Note :

Gcd of two numbers (X, Y) is defined as the largest integer that divides both ‘X’ and ‘Y’. 

Given a string ‘S’ comprising of some brackets. You need to print the number of every bracket.

For Example:

If S = (pq)() 
Then the output will be 1 1 2 2. First pair of opening and closing brackets will get the same number and so does the 2nd pair.