Question:
Lets say you have a room with 100 doors in it. Initially, all of these doors are open. You have 100 people that will be entering the room. The 1st person toggles every door, 2nd person toggles every other door, 3rd toggles every 3rd door, ... , nth person toggles every nth door. How would you determine the state of all 100 doors after all 100 people have entered the room?
Solution:
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