$\begin{array}{1 1}(1) \rho_0=40 \; \in_0 \;in\; the\; entire\; region \\ (2)\rho_0=20 \; \in_0 \;in\; the\; entire\; region\\ (3) \rho_0=20 \; \in_0 \;for\; |z|\; in\;\leq\;m\;and\;\rho_0=0\;else\;where \\ (4) \rho_0=10 \; \in_0 \;for\; |z|\; in\;\leq\;m\;and\;\rho_0=0\;else\;where \end{array} $