Calculate a new array where each element is the product of all numbers in the original array, excluding the number at that index. Do this efficiently without using division.

Determine the maximum number of times a given word consecutively repeats as a substring within a larger sequence. Find the largest integer k such that word * k is a substring of sequence.

Find the k points closest to the origin (0, 0) from a given list of points on a 2D plane. The distance is measured using the Euclidean distance.