Six ants are placed on the vertices of a regular hexagon with an area of 12. At each point in time, each ant looks at the next ant in the hexagon (in counterclockwise order), and measures the distance, s, to the next ant. Each ant then proceeds towards the next ant at a speed of \frac{s}{100} units per year. After T years, the ants’ new positions are the vertices of a new hexagon with an area of 4. T is of the form a \ln b, where b is square-free. Find a + b.