Median of limiting scaled minimum

Let $\{X_n\}_{n\ge 1}$ be a sequence of independent and identically distributed random variables having $U(0, 1)$ distribution. Let $Y_n = n\min\{X_1, X_2, \dots, X_n\}, n\ge 1$. If $Y_n$ converges to $Y$ in distribution, then the median of $Y$ equals __________ (round off to $2$ decimal places)