Turing Sugar Cane Hoe

Turing Sugar Cane Hoe is a Hoe specialised for harvesting Sugar Cane. It requires 

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

In order to mathematically represent the and  ability scaling, the following formula is 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

 * Turing Sugar Cane Hoe is a reference to English mathematician Alan Turing, known for breaking the Enigma code during World War II, which allowed encoded German messages to be easily deciphered.