
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Find the absolute value of the difference of single-digit integers $C$ and $D$ such that
$$
\begin{array}{c@{}c@{\;}c@{}c@{}c@{}c}
 & & & D& D & C_6\\
 & & & \mathbf{5} & \mathbf{2} & D_6\\
& & + & C & \mathbf{2} & \mathbf{3_6}\\
\cline{2-6}
 & & C & \mathbf{2} & \mathbf{3} & \mathbf{5_6} \\
\end{array}
$$
Express your answer in base $6$.

Present the answer in LaTex format: \boxed{Your answer}
user