There are 200 lockers in your school, numbered 1 thru 200 consecutively. The lockers are all closed to begin. Student #1 walks down the corridor and opens all the lockers that are numbered with a multiple of 1, thereby all the lockers are opened. Student #2 then walks down the corridor and changes the status (closed lockers are opened; open lockers are closed) of all the lockers that are numbered with a multiple of 2 (note that in the case of Student #2, this only involved closing lockers).
CONTINUED...

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