Top of the Hill Subs, a sandwich shop, is opening on State Street Tuesday. When it opens, Top of the Hill Subs will add another lunch and dinner option in Bangor, joining the multiple restaurants, including Frank’s, Judy’s and Thai Etc, on a short strip of State Street. The restaurant also brings a local option to a building that was a Subway for more than two decades. Hot and cold sandwiches, with mostly deli options including turkey and salami, will be served from 10:30 a.m. to 9 p.m. The menu isn’t finished yet, but sandwiches, chips and ice cream will be available when the sub shop opens Tuesday, the manager said.