Alex entered a room with some fancy lights arranged in a row which were either on or off. Alex had a list of numbers and worked through each number on that list in order. For each number, Alex visited the bulbs at positions which were a multiple of the prime factors of the chosen number. Whenever a bulb was visited, its state was flipped. Determine the final state of each bulb after the numbers on the list were processed.

This is a companion discussion topic for the original entry at https://algo.monster/problems/citadel-oa-prime-factor-visitation/