5. Suppose we have constructed a three-path interferometer, i.e., a system where a photon can take any of three different paths to reach our detector. The probability amplitude of this detection event occurring via path 1 is e; via path 2 it is e; and via path 3 it is e Further suppose that some evil spy has measured whether or not our photon takes path 3 (e.g., by inserting a bomb which would be triggered by path 3, although without absorbing the photon). On the other hand, there is no possible way for any one to tell whether path 1 or path 2 is followed. What is the probability of us detecting the photon, as a function of 61, 62, and 03? Sketch this as a function of the relevant phase variable(s).