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]