A maintenance building construction project also includes an external electrical generator and water tank. The first activity is to excavate which requires two weeks. Following excavation, the maintenance building will be built, and then both the generator and the water tank can be installed. These three activities, building, generator, and tank, require six, four, and two weeks, respectively. Once this set of three activities is completed, the tank and generator can be connected to the building, an activity that requires five weeks. After the maintenance building is built, maintenance equipment can also be installed inside the building and this activity takes four weeks. Painting the maintenance building is also required, following its construction, and this takes three weeks. Finally, after the maintenance equipment is installed and the connection is completed, it will take two weeks to inspect the new maintenance facility. Suppose that maintenance equipment installation activity started at week 10, what is the fastest time for project completion given this information?