One hundred students are assigned lockers 1 through 100. The student assigned to locker 1 opens all 100 lockers. The 2nd student closes all lockers whose numbers are multiples of 2. the student asssigned to locker 2 changed the status (e. g. the locker number 3 which is opened gets closed, locker 6 gets opened). The student assigned to locker number 4 changed the status of all lockers whose numbers are multiples of 4. And so on for all 100 lockers.

One hundred students are assigned lockers 1 through 100. The student assigned to locker 1 opens all 100 lockers. The 2nd student closes all lockers whose numbers are multiples of 2. the student asssigned to locker 2 changed the status (e.g. the locker number 3 which is opened gets closed, locker 6 gets opened). The student assigned to locker number 4 changed the status of all lockers whose numbers are multiples of 4. And so on for all 100 lockers.

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