A thin circular coin of mass 5 gm and radius 4/3 cm is initially in a horizontal $$xy$$-plane. The coin is tossed vertically up (+z direction) by applying an impulse of $$\sqrt{\frac{\pi}{2}} \times 10^{-2}$$ N-s at a distance 2/3 cm from its center. The coin spins about its diameter and moves along the +z direction. By the time the coin reaches back to its initial position, it completes $$n$$ rotations. The value of $$n$$ is ____.

[Given: The acceleration due to gravity $$g = 10$$ ms$$^{-2}$$]