You have recently been hired to perform an important job. Every evening you are to turn on the light in an interior room (a room with no windows to the outside) on the third floor of a building. There is a bank of three switches in the lobby of the building just inside the front door. One of these switches controls the light you need to turn on and the other two are not connected to anything. You would like to figure out which switch controls the light and because you are inherently lazy you don't want to go up to the third floor to check whether or not the light is on more than one time. Is it possible to determine which of the three switches controls the light if you check the light's status only once?
Assumptions:
1. You cannot see whether or not the light is on without going all the way up to the third floor (i.e. you can't go outside and see if light is shining through a window or look up the stairwell and see if light is shining under the door).
2. You know the light is off when you report for work the first evening.
Assumptions:
1. You cannot see whether or not the light is on without going all the way up to the third floor (i.e. you can't go outside and see if light is shining through a window or look up the stairwell and see if light is shining under the door).
2. You know the light is off when you report for work the first evening.