Tourists and visitors may park vehicles without fee in areas designated for their use, subject to the traffic and control regulations, or in metered parking areas on the state capitol grounds provided, however, that the prescribed parking fee shall be paid prior to parking. Employees of the state of Washington who are employed on the state capitol grounds may not park in spaces set aside and marked for visitors, tourists, and other special purposes between the hours of 7:00 a.m. and 5:00 p.m. on normal working days, unless authorized to do so by the director.