In a certain code language $\text{RUSTICATE}$ is written as $\text{QTTUIDBSD}$. How would $\text{STATISTIC}$ be written in that code?

Let us examine the transformation pattern from $\text{RUSTICATE}$ to $\text{QTTUIDBSD}$:
* $\text{R}\stackrel{-1}{\to }\text{Q}$
* $\text{U}\stackrel{-1}{\to }\text{T}$
* $\text{S}\stackrel{+1}{\to }\text{T}$
* $\text{T}\stackrel{+1}{\to }\text{U}$
* $\text{I}\stackrel{\text{unchanged}}{\to }\text{I}$
* $\text{C}\stackrel{+1}{\to }\text{D}$
* $\text{A}\stackrel{+1}{\to }\text{B}$
* $\text{T}\stackrel{-1}{\to }\text{S}$
* $\text{E}\stackrel{-1}{\to }\text{D}$

The rule is: the first two letters decrease by $1$, the next two letters increase by $1$, the middle ($5^{\text{th}}$) letter stays unchanged, the next two letters increase by $1$, and the last two letters decrease by $1$.

Applying this exact rule to $\text{STATISTIC}$:

* $\text{S}\stackrel{-1}{\to }\text{R}$
* $\text{T}\stackrel{-1}{\to }\text{S}$
* $\text{A}\stackrel{+1}{\to }\text{B}$
* $\text{T}\stackrel{+1}{\to }\text{U}$
* $\text{I}\stackrel{\text{unchanged}}{\to }\text{I}$
* $\text{S}\stackrel{+1}{\to }\text{T}$
* $\text{T}\stackrel{+1}{\to }\text{U}$
* $\text{I}\stackrel{-1}{\to }\text{H}$
* $\text{C}\stackrel{-1}{\to }\text{B}$

The resulting code is $\text{RSBUITUHB}$.