+4609 An annoyed teacher asked her student to do the following:
(1) Start with the number 12. Go to step (2).
(2) Take the negative of the number reached at the end of the previous step. Go to step (3).
(3) Add 1 to the number reached at the end of the previous step. Go to step (4).
(4) Go back to step (2) unless you have already gone through step (3) a hundred times; if you have gone through step (3) a hundred times already, tell the teacher the last number you reached.
To the teacher's surprise, the student gave her the correct final answer within a minute. What was it?
