\[ \textbf{Problem Statement} \] An employee has been assigned the task of allotting offices to six of the staff members. The offices are numbered \(1\) to \(6\). The offices are arranged in a row and they are separated from each other by six-foot-high dividers. Hence voices, sounds, and cigarette smoke flow easily from one office to another. \[ \textbf{Conditions:} \] Miss Robert needs to use the telephone quite often throughout the day.
Mr. Mike and Mr. Brown need adjacent offices as they need to consult each other often while working.
Miss Hardy is a senior employee and has to be allotted office number \(5\), which has the biggest window.
Mr. Donald requires silence in the offices next to his.
Mr. Tim prefers to be as far away as possible from Miss Robert.
Mr. Mike and Mr. Donald are smokers.
Miss Hardy is allergic to tobacco smoke; therefore, the offices next to hers must be occupied by non-smokers.
Unless specifically stated all the employees maintain an atmosphere of silence during office hours.
The three employees who are smokers should be seated in the offices.