Algebraic numbers in the sets of real and complex numbers of small Lebesgue measure

Algebraic numbers of degree $2n$ are investigated. For any $Q \ge {Q_0}\left( n \right)$ we prove that there exist circles $K_1,\cdots ,K_n$ on the complex plane with the radiuses $max(r_i) < c_1 Q^{ - 1}$ containing no algebraic numbers of height less then $Q$. We also prove that for $min(r_i) > {c'}_i Q^{ - \frac{1}{2n}}$ circles $K_1,... ,K_n$ contain algebraic numbers and their quantity is bounded below by ${c_{20}}Q^{2n+1}\mu K$.