Problem Analysis #19

Return a single integer only. The problem has been revised so that no final answer is an irrational number, a parameterized expression, a range, a proof, a drawing, a graph, a locus equation, or a region description.

In the complex-plane circle problem, the constant value of $\operatorname{Re}(1/z)$ on the circle is $1/2$, and the area of the sum-region is $4\pi$. Encode $1/2$ as $1+2$, and encode $4\pi$ as $4+1$. Find the sum of these two encoded integers.