You are given two jugs with capacities x and y liters, and an infinite supply of water. You need to determine whether you can measure exactly target liters of water using the following operations: fill, empty, and pour water between the jugs.
You are given a set of distinct positive integers. Return the largest subset where every pair of elements in the subset satisfies either ‘one element is divisible by the other’.
Given an integer a and an array b, where b represents a very large number, compute ( a^b % 1337 ). The array b stores the digits of b from most significant to least significant. You must handle extremely large values of b efficiently.