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Solution: Bulb Switcher

Understand the Bulb Switcher problem, where toggling bulbs depends on the number of divisors of their positions. Learn to use the concept of perfect squares and integer square roots to find how many bulbs remain on after n rounds efficiently. Explore the mathematical insight and implement a constant time solution.

Statement

You are given n bulbs, all initially turned off. You perform n rounds of toggling operations:

  • In round 11 ...