For a horizontal curve, the radius of a circular curve is obtained as $300 \mathrm{~m}$ with the design speed as $15 \mathrm{~m} / \mathrm{s}$. If the allowable jerk is $0.75 \mathrm{~m} / \mathrm{s}^{3}$, what is the minimum length (in $\mathrm{m}$, in integer) of the transition curve? _____________