All poolrooms, billiard halls, pin alleys, table or ball alleys, or bowling alleys shall close their doors at 1:00 a.m. and discontinue business on the premises between the hours of 1:30 a.m. and 4:00 a.m. The Chief of Police shall have discretion to grant special permission for running of adult leagues or special events at hours later than those above provided. Written permission from the Chief of Police must be obtained for each such adult league or special event at least forty-eight (48) hours prior to the commencement thereof.