Let [x] denotes the greatest integer function and f (x) = max {1 + x + [x], 2 + x, x + 2[x]}, $0\le \mathrm{x}\le 2$ let m be the number of Points in [0, 2]where f is not continuous and n be the number of points in (0, 2) Where f is not differentiable, then (m + n)² + 2 is equal to