Gauss Carrot Hoe

Gauss Carrot Hoe is a Hoe, specialised for harvesting Carrot.

Mechanics
The number of digits on the counter may be calculated using:
 * $$n = \left\lfloor\log{10} counter\right\rfloor + 1$$

In order to mathematically represent the and  ability scaling, the following formula has to be used:
 * $$\text{Logarithmic Counter Bonus} =

\begin{cases} 0 & n \leq 4 \\ (n - 4) \times 16\% & otherwise \end{cases}$$
 * $$\text{Collection Analysis Bonus} =

\begin{cases} 0 & n \leq 4 \\ (n - 4) \times 8\% & otherwise \end{cases}$$

Trivia

 * Gauss Carrot Hoe is a reference to German mathematician and physician Carl Friedrich Gauss.