Question 145
Find positive real numbers $a_1, a_2, \dots, a_{2019}$ which satisfy the equation
$$
a_1 + a_2 + \dots + a_{2019} = a_1 a_2 \dots a_{2019} = \sqrt[2018]{2019^{2019}}.
$$
$$
a_1 + a_2 + \dots + a_{2019} = a_1 a_2 \dots a_{2019} = \sqrt[2018]{2019^{2019}}.
$$