#Problem: You have 100 doors in a row that are all initially closed. You make 100 passes by the doors.
#The first time through, you visit every door and toggle the door (if the door is closed, you open it; if it is open,
#you close it). The second time you only visit every 2nd door (door #2, #4, #6, ...). The third time, every 3rd door
#(door #3, #6, #9, ...), etc, until you only visit the 100th door.

#Question: What state are the doors in after the last pass? Which are open, which are closed?


doors = 100 * [False]

for i in range(0,99):
    for y in range(i, 99, i+1):
        doors[y] = not doors[y]
        if doors[y] is False:
            print("Closed")
        else:
            print("Open")